Hi everyone. Thank you so much for joining us for our webinar today, Get to Know Grand Station with Jeremy Smith and Sarah Kennedy. Before we get started, I just have a few housekeeping items to go over, so all the callers will be muted. If you have questions, you should see a Q&A chat box on the left-hand side of your screen. So feel free to ask questions as we go along, and we'll try to address them at the end. If you lose your Internet connection, I recommend refreshing your browser and re-logging in. If you want to watch the webinar after it's over, we will be hosting it on our website, techsoup.org, slash community, slash events, dash webinar. And you'll also receive an email with a link to the recording and the presentation also. If you are on social and you want to engage with us on Twitter, feel free to tweet at us at TechSoup and use hashtag TSwebinars, and we'll try and answer questions on there as well. So as you may or may not know, we have a promotion going on right now with Grand Station, so the promotion will be running on February 6th, 7th, and 8th. If you are interested in signing up for a notification, you should see a URL at the bottom where you can enter your email. And we'll send you a reminder on February 6th to notify you when the promotion is live. So just a little bit about TechSoup before we get started, so we are in 226 countries and territories. We serve over a million organizations, so you can see here on the map that we're located in many places. We're a little bit curious to know where you guys are calling in from today, and this will give you a chance to use the chat box on the left. So if you have a second, just feel free to tell us where you're calling in from today. Okay, so we have Chicago, Connecticut. It's going really fast, but I'll try and read it. Los Angeles, Cupertino, Portland, I think we had somebody calling in from Jerusalem. So we're calling in from all over. That's really, really good to see. So thanks for sharing that. We also work with a lot of corporations, so Adobe, Intuit, Microsoft, Symantec, Grand Station obviously. So these are the corporations that help make our work possible. So here's a list of some of the organizations that we currently partner with. And I'm going to go ahead now and get the presentation started. So I'd like to introduce Jeremy Smith who's the Communication and Technology Director at Grand Station, and also Sarah Kennedy who's the Director of Online Education. My name is Seema. I'll be on the Q&A along with my colleague LaChica. So again, if you have questions along the way, we'll try and answer them. And there will be a Q&A towards the end also where Sarah and Jeremy will be answering some of your questions. So without further ado, I'm going to pass it off to Jeremy and Sarah. Thank you so much Seema. Welcome everyone. We are really glad you're able to join us today. It's always our pleasure sharing this information with you. So Jeremy, are you going to take us to the website? I am definitely going to do that Sarah. So give me one moment and I will go ahead and share my desktop. Well, while Jeremy is setting us up on Grand Station, I want to let you know that during this time we have together today, we want to show you how you can do all your research on Grand Station from identifying the right funders to building a grant seeking strategy that you and other members of your organization can use in the coming year. And so with that said, I am going to turn this over to Jeremy. Thanks a lot Sarah. And to serve one nose, Sarah will be coming back in today's tour. So I'm not going to miss her too much. And again, I am Grand Station's communications and technology director. My name is Jeremy Smith. And before we get started with the searches and really showing you everything about Grand Station, I wanted to let you know a little bit about us. Now, Grand Station itself is a set of tools and resources to help organizations identify and secure grant dollars. So Grand Station is a publishing company. Research and writing are our skill sets. And what we really do is pride ourselves in publishing current and forward-looking information about grant makers. Now all the grant maker profiles on Grand Station, both government and private, are for lack of a better description what we call in the game. Now these are profiles that reflect grant makers who are actively accepting requests or letters of inquiry from a variety of nonprofits. Now you may have used some other services where you do your research, you get hundreds of returns, leaving you with a really long list of potential funders that you have to screen through without really knowing how relevant they are to your specific needs. Now our job at Grand Station is to pre-screen grant makers. So the time you spend researching generates a list of grant makers that may truly accept a request to fund your organization's program or project. So really think of us as your backroom research team, pre-screening funders. So we're feeding you the most relevant ones for your program or project. So I'm going to go ahead and log in now so we can go ahead and see what Grand Station looks like once you log in. And if you do sign up with Grand Station through the TechSoup promotion, you'll have your very own username and password. And as we're logging in, I also want to let you know that I was looking at some of the different names that we had, different places that we had interested in learning more about how they can find funding for their specific area. And it looks as though. I'm going to go ahead and show you some of those things here in just a second. I saw that there were some people who were in Oregon. We also had a few people who were located in Michigan I saw, and California popped up as well. And also I think I even saw Wisconsin in there and even Indiana. So there are quite a few places in all these locations actually have listings within our specific database. So as you log in to Grand Station, I had to log in again because I had to use the wrong account to log in. But now I'm actually logging into Grand Station. And this is what you can expect when you do log in. So in addition to all the grant research that we have here on Grand Station, we also have two different newsletters that we are known for. And we published them on a regular basis, and they both highlight upcoming funding opportunities. You can find them in our public resources section here on Grand Station. The first is the Grand Station Insider which we are pretty well known for. This focuses on 10 distinct opportunities for U.S. nonprofit organizations. But we also have another newsletter which goes out monthly, and that's called the Grand Station International Insider. Now this features 16 international funding opportunities including a number of opportunities for our Canadian neighbors. As I mentioned, all of these two newsletters and other resources are located under our public resources section here on our website. You'll also find links to TrendTrack, Pathfinder, and even our online education section here as well. And we'll come back to these areas a little bit later in the tour and explore them and see how they can help you out. So if I click on our main logo here, that takes us back to the main page of the website. I want to go ahead and tell you about our key features here at Grand Station. So we have about three main areas here. We have Find Grantmakers, Write Proposals, and Build Strategy. Now when you click on Find Grantmakers, it will open you up to our search section where all of our different databases are located. When you click on Build Strategy, this will access tools that will help you build a solid grant seeking strategy. And then when you click on Write Proposals, you'll find step-by-step tutorials that you can use to write compelling grant proposals. Now if we go ahead and scroll down the main page here on Grand Station, it will take us to our Funding Alerts section. And these are alerts that change weekly. And with all of our different announcements here at Grand Station, this information is really carefully curated providing you with the most current information about specific grant opportunities. So taking a look at one of our most recent ones we added here, it's National Funding Alert from the Robert Wood Johnson Foundation, Robert Wood Johnson Foundation's Culture of Health Leaders. We'll go ahead and click on that and I'll show you what an actual profile looks like. Now all the profiles here on Grand Station are written in a narrative format. This allows us to provide you with detailed information about the grantmakers and their specific programs. So here on the left-hand side is the grantmakers profile. This includes specific areas of interest and any other kind of specific application procedures. On the right-hand side, you'll find the following information about the grantmaker which includes how or where you can visit their website. You can email the profile to yourself, any social media links that we may have, a geographic scope, direct contact information, who their primary contact is, any other specific application information, and then at the very bottom, a little date here for when this particular profile was last updated. Now what's important to note is that when we create and update these records and we are constantly going through and modifying, removing, and adding records to our database, we gather up as much information as we can from the web, from their IRS 990 form, and from other sources. And then we draft a profile made by our researchers which we send directly to the grantmaker for their review. So the question that we ask the grantmaker when they review their record is not just is this information correct, but also are we capturing not only what they will fund now, but what they plan to fund in the next year? And we do this because although it's really interesting to know what they've funded in the past, it's much, much more helpful to know what they will fund today, tomorrow, and into the future. In short, the real question is will they consider funding your organization right now? So the grantmaker reviews this profile. They often make changes. Then they send it back to us. We do a final edit, and then we publish it in our database. So this process results in grantmaker profiles that are unlike anything else you read about in the web, not even on their own website. Our researchers are really focused on publishing quality information that will make your job easier. Hence the idea of thinking of Grand Station as your Backroom Research Team. So I'm going to go back to our main site again, and the way to do that is simply clicking on the big logo at the top. I want to show you our online education section. And this is one of Sarah's expertise. So I'm going to have Sarah talk a little bit about online education at Grand Station. Thanks, Jeremy. I want to let folks know that our webinars are open to the public as well as members. So you don't need to be a member of Grand Station to take any of the webinars. You can take them individually, or you can take them as a group.  Go back up a little bit where it says free. Tell your story with data. This is a free webinar. We have free webinars from time to time that will be held on February 15th. And this is a sneak preview at a number of webinars that are coming up over the next couple of months on how to use data visualization to tell your story. Analyzing or crunching your organization's numbers, then finding the right graphs and charts and dashboards to tell your story. So you can join us for that free one for sure if you're interested in learning about data visualization. But these webinars change all the time, so you can come back and check that menu from time to time to see if there's anything there that will be of interest to you. Now I wanted to go back into some of our specific areas before we get into our specific searches. And I wanted to talk about Build Strategy a little bit, because we're going to revisit this later on. We have an interactive tool in here called Grants 2020. This can really provide you with a clear picture of where your organization's grant program is today. And more importantly, how it needs to grow in the next several years. You simply get a copy of your budget, then any potential grants you may be receiving. You enter in numbers, and it spits out a visual representation of where your funding is coming from. Then you can print that out and share it with your board. It's a really excellent tool that you can learn more about by looking at Grants 2020 once you log into GrantStation. Now in addition, we have two specific former webinars that have become tutorials called Grant Seeking Calendar and Creating Time. And they really focus on how to design and develop Grant Seeking strategies. And they work hand in hand when you're creating a strategy that works for you and your organization. And we'll come back a little bit later in the tour to the Grant Seeking Calendar actually. Now also under Write Proposals, this is where you can find those tools to help you write and submit compelling letters of inquiry, or even full grant proposals. For instance, we have Getting Started, which I'll click on right here. This outlines all the documentation you should have at your fingertips before you begin writing grant requests. We also have a really nice tutorial on how to write a letter of inquiry. This is really helpful when you're trying to consider what should and should not be included when you're putting together an LOI. Then we also have the full grant proposal. I'm going to click on that right here. It's a step-by-step approach to writing a grant, which also includes downloadable samples of award-winning grant proposals. And you can actually find them right here under Write Proposals, Award-Winning Grant Proposals. And we even have another section here called Editing and Revision, which is what you should do when you need to edit and revise your particular grant proposal. Now I want to click on the Award-Winning Proposals here just for a second. It's important that you don't underestimate the value of reviewing these award-winning grant proposals. You will get tons of ideas on how to present your own case for support by just reviewing these truly well-developed examples. And just a side note, each year a grant station runs a contest for the best-written grant proposals. The contestants are judged by a panel organized by the Grants Professional Association. And the award winners are what you see right here and store it on GrantStation.com. So at this point I think we should conduct a few really thorough searches that show how useful our site is when you're doing your grant research. So the first question that you have to ask yourself is how do you go about identifying the best grant makers to approach? Or even creating a basic grant seeking strategy for that matter? So first, here's a couple scenarios that Sarah and I came up with for today. The first is that we're seeking funding for animal welfare in the state of Minnesota. And we also want to start our second scenario an after-school program which deals with obesity in youth. So we recommend that you always begin your searches no matter where you're doing your research by doing two types of research, primary and secondary research. We'll explain what it is to them and how to do them. Now once you've gone through both of those research steps you'll really have that foundation for your grant seeking strategy. Now prior to starting any searches we recommend that you go ahead and click on Find Grant Makers and then take a look at our preparation section. In this area you'll find a project description worksheet as well as our search terms. Now the project description worksheet will really help you organize your approach, flesh out your budget, and serve as a solid foundation for your grant seeking strategy. This is a downloadable Word document that you can save any pertinent information that's related to your search too, and can then be headed off to other members of your team for further research or stored and then referenced at a later date. And again, this is simply something you can download. It doesn't take too long to figure out, but it really becomes that first step in primary research which is really the research phase. Now the second area we recommend you take a look at is our search term section. Now this is the key terminology that's used on our website and it serves as a great guide when doing your keyword research. What's important to note is what you sometimes call something is not the same thing the grant maker calls it. So you could be looking for one specific search term and you're finding nothing and you don't know why your particular area isn't being funded. It might just be as simple as using the right terminology because sometimes someone will call it one thing when the grant maker calls it something else. Now to use this section currently, you hit Ctrl F or Command F on your keyboard at the very bottom of your screen or based on your browser. It'll pop up a little search box right here. And then in this search box you'll enter in a keyword which will let you know what category you have to search through. So it'll basically take your keyword and translate it into the same thing that the grant maker calls it. So in our situation using our example of animal welfare, let's go ahead and type in animal welfare. And as you can see, it jumps to that instance of animal welfare. But animal welfare according to all of our research also includes animal shelter programs. It includes humane societies, no kill philosophy programs. And even veterinary programs too. So all of those are included under animal welfare. So since animal welfare is what we want to do, we'll make a note of animal welfare which is located under the main area of environment in animals. We make a note of this on our project description worksheet. Then we can go on to doing specific searches. So I'm going to go ahead and click back to top. It takes us back to the top of the webpage. And I'm going to go ahead and begin our grant search which is also known as primary research by moving into our US state government section. So if I go ahead and click on search right here, and there's lots of different ways to navigate GrantStation. So if you get confused, you can always come back and watch the video again and learn about how you can access things. But note that you can always click on search, or you can click on find grant makers to locate all of our databases. So as I said, we're going to go ahead and start with our state government section. And I'm going to click on that right here. And we're going to choose our specific state for our search. And in this case, it's going to be Minnesota. Now GrantStation itself offers listings of US federal and state funded agencies, state funded agencies, and state departments for each of the 50 states and a district of Columbia that offer financial and technical assistance programs. All of these links that you see right here will take you directly to that agency or department's pages which deals specifically with grants or funding. And that's what you can find in the state section. Now for the next step in our primary research, we can take a look at what's offered by the US government. And that's in our US federal section. And to access that, we can simply click on find grant makers, and then we can go ahead and click on US federal. And then from here, we can go ahead and search our federal grants and loans. Now this particular area acts as a front end to Grants.gov. So all the information that you can find at Grants.gov is being filtered through this in a much easier to use and tighter interface. You can search through this by looking at eligible applicants, funding agencies, areas of interest, funding opportunity, and even using CFDA number along with using specific keywords for research. So you could go ahead and start by changing your eligible applicants to let's say nonprofits for the 501C3 status. We could choose specific agencies from the drop-down list, or we could even choose a specific area of interest. And again, these areas of interest are based on those earlier ones that we were looking at when we were doing research terms. Then we can add in specific keywords. So we'll go ahead and type in animal welfare here as an example. And once we type in our keyword, we click on submit. Then we can see that we have nothing that really showed up. And that's okay because this particular information is really important to collect because when you apply to private funders, you can say that you've done your federal and state research. And in case in this example we didn't find anything that worked for our specific need, we can specifically say at this time there are no federal programs that can help us with our need. That way the private funder knows that you've done your homework, which speaks to your credibility as an organization. And that private funding is the only option right now. And this does happen. You won't always find federal funding, and you won't always find state-based funding. And occasionally you may find things. And that's why it's important to look just to see what's available. And just as an example to show you what it would look like, we'll go ahead and click on this opportunity right here from the Fish and Wildlife Service to Scott River Water Trust. What you receive is then a breakdown of everything available on Grants.gov, including the contact, when it was posted, description of it, and then a link to get more details and apply for it specifically through Grants.gov. And all of this is available on GrantStation. So it really gives you sort of a one-stop shop for doing all your grant research needs on a federal and state level. And that is something that really separates us from our competition out there as well. So once you've completed your federal research, which we will say we just did, we can move on to the U.S. Charitable Database, which we'll go ahead and click on. From our search section, we'll click on U.S. Charitable. Now the U.S. Charitable Database is where you will find thousands of funder profiles including independent, family, community, and corporate foundations, corporate giving programs, faith-based grant makers, and basically any associations we have listed with grant-making programs. Now all these profiles are searchable by Geographic Scope. They're also searchable by areas of interest, type of support, name, and by keywords. So here in the content area on the left-hand side, which is right over here, this is where you'll find a guide to help you through the research process. Now on the right-hand side is a navigation area where you can enter in your specific criteria. So here in Geographic Scope, we can choose a search for global grant makers giving to U.S. organizations. Or for now, let's go ahead and choose National Grant Makers, and then choose a specific state. So as we go ahead and click the boxes, you'll see our results automatically update. I'm going to add a specific state. And again, our focus was going to be on Minnesota. So I'll go ahead and click on that one right now. Then as this updates, you'll notice how each criteria is listed at the top as we make our selection. And with each new selection, the results are instantly displayed over here on the left-hand side. We also want to point out that you can click on and off of each option, so you can be more creative and thoughtful in your searches. Now as each new criteria is added or subtracted, it will broaden or narrow the funding opportunities being displayed. So this initial process of choosing our Geographic Scope allows us to cast our net as wide as possible, combining national opportunities with state or region-based ones to really see just how broad our grant universe is. Now once we start selecting other criteria, our results begin to narrow the funding opportunities that are a perfect fit for our needs. And with that, we're now ready to select our first area of interest. And based on our research, we know that if we go down here to area of interest and looking at our project description worksheet, we'll take click on Environment and Animals, and then we'll go ahead and click on Animal Welfare. And just in case we're not sure what each of these areas qualifies for, we can simply click on the little I next to the name. They'll give us a breakdown of what topics are included in that section. So you don't even really have to go into the search terms area, but it's just really handy and lets you organize yourself as you move forward. But you are welcome to come in here and just start clicking on boxes left and right as well. But if you have a more thoughtful search, you'll get better results in a much shorter amount of time. So we'll go ahead and click on Animal Welfare at this point. And once we click that, we see our results have updated to 63 specific results. And we're going to go ahead and add another criteria at this point. And we're going to go down to a specific type of support for our need. And right here under type of support, we're going to go ahead and click on General Support. Now in this section, you can also find links for emergency funds, equipment, capital or building funds, challenge grants, infrastructure, internships, and kind gifts. You can really narrow everything down to the specific type of support you're looking for. So we'll go ahead and click on again General Operating Support at this point and see what our results are. So now we're looking at 28 specific results. And if we take a look at our specific search criteria, we're searching within the U.S. and Minnesota, our specific area of interest is Animal Welfare. And our type of support is General Operating Support. Now if we want to narrow this a little bit more, we can go ahead and remove the national portion from the geographic search area. And we'll go ahead and click that minus button right there. This will focus on those funders who specifically give within Minnesota. I'd recommend that route just to get the strongest pension funders up front. So now we've narrowed this down to eight specific results. Now I also want to point out right here towards the bottom of the page, we also have the keyword search. And this is a really powerful way to narrow your searches, but I really suggest you exercise caution using this area so you don't narrow your searches down too much. Because remember, the keywords you enter are not necessarily the words the funder uses. For example, if you add rescue to the criteria, we'll go ahead and type that in right now and then click on submit. We've narrowed ourselves out of any results at all completely. So this is a really good possibility of actually losing and missing out possible funding opportunities by using those specific keywords that don't match what the funders name it. So let's go ahead and remove that from our search options here. And again we just click the minus sign next to the name under keyword. And now we're back to eight specific results that we can go through. I also want to point out when you have lots of results, you can also show multiple items per page. You can show 10 per page, 20, 50, or even 100 per page if you want. And then looking at the actual results that pull up, you have the name of the grant maker followed by their specific geographic scope. And then if they have a specific geographic focus as well, this allows you to quickly go through and see if something works within your specific area. So let's say the COPS Family Foundation which gives specifically within Minnesota which is great, but their emphasis is on the Twin Cities area. Well I'm not in a Twin Cities area. So I may want to go ahead and look at something else and come back to this one a little bit later on.  Now if your organization is also working in a few states, you have the option of selecting another state to broaden your search at any point as you're doing your research. So let's say that this Animal Welfare Organization is working in a tri-state area, Minnesota, Wisconsin, and Iowa. So we can go ahead and add those states and pull up additional funders. And just as a quick note, we currently have eight results right here at the very top of the page. So let's add those extra states here. So I'm going to go ahead and scroll down and I'll start by adding Wisconsin. So now we're up to 11 specific results. And now let's go ahead and add Iowa. So we'll scroll down again and click on Iowa. So we've gone from 8 results to 10 results, and now to 14 specific results. So I hope you see as we add more and a broader geographic scope, more options in that area, we get more results. As we add in specific areas of interest and types of support, we can narrow our results down to our specific need. And you're also going to want to do searches and look for funders who might be a bit outside the box. For example, in Minnesota, you might want to research some vendors, such as whoever you bank with, or the local or regional utility company. So at this point though, let's turn to our second search because we do have limited time today. And that's of an after-school program that actually educates children regarding obesity. So we're going to go ahead and start by clearing out everything. So it's going to remove all of our search criteria. And a question may have come up. I just want to go ahead and address that right now. People have said, well, how do I save my searches? What's important to note is I mentioned earlier, we're constantly going in and modifying and changing our specific results available. One day you may have 20 results, the next day you may have 25 results. What's the most important thing to save actually is your search criteria. And if you copy your search criteria and put that on your project description worksheet, you'll always be able to come back and see what was the best fit for that search that you were looking for. And then you can always email a specific profile to yourself if you find that grantmaker that's a perfect fit for your specific need that day. So you have two different ways to move about this. But I strongly encourage you to save your search criteria and then revisit that right up until the point you're ready to apply because new and different funders will pop in there on a regular basis. So we're going to go ahead and start on this search with a national search. So we'll click on National Grantmakers to give across all states. And then we can broaden our search as much as possible by choosing a specific state. So let's just go ahead and grab New York at this point. So looking at my keyword research that I did earlier today, I noted that I have two good options in the health and wellness category. So if I go down to areas of interest, when I go into specifically health and wellness, I want to go ahead and click on two specific areas. The first is healthy eating and nutrition. And the other is healthy lifestyles and obesity prevention. So starting with healthy lifestyles and obesity prevention, I'm going to go ahead and click on that particular box right here. So now we're looking at 51 results. I'm going to go ahead and add another search term. And that's the one right next to it, healthy eating and nutrition. And you can check and add as many boxes as you like. But I hope you see it does narrow your results down. So if you narrow yourself out of results, you'll want to take a step back, maybe remove a search term, and see what's available before you really drill down into one or two specific results for your specific need. So at this point we're going to add a new area, and that's actually right below areas of interest. It's our targeted population section. This allows us to take a specific targeted population and include that into our search so we can focus on say Alaskan natives or immigrants and refugees, potentially minorities, seniors and the aging or veterans, or in this case, children and youth. And that's our focus for this particular search. So now we're looking at 18 specific results. Again, we can go ahead and narrow this down by searching only within one state. So remove USA from our geographic scope. And now we're looking at 11 specific results. We can display them all on one page at once by changing our items per page to 20. Then we can quickly go on this list and see what works for us. And we can see right off the bat, if our community doesn't have an Aldi store, then we don't want to go ahead and take a look at the Aldi Smart Kids program. If we don't have an Anthem Foundation in our specific area, we probably don't want to look at that one either. If we don't have a Cathay Bank Foundation in our specific area, we probably don't want to look at this one either. So we've already quickly narrowed ourselves out of three specific grants that wouldn't work for us just based on the information available on this quick results page. So this is really an excellent number that we can go through and really see if the profiles are a match to our specific mission or project. And again, you can start your searches in any order and add or subtract criteria to refine your search results. Now in addition to these US based grantmaker listings, we also have three other unique areas to search through. We have our international and Canadian charitable databases along with our Canadian government section. So I'll go ahead and click on our international charitable at this point. This convenience grant listing is beneficial to organizations working outside the US or based outside the US. So let's go ahead and I saw earlier that we do have someone who is joining us today from Jerusalem. So we'll go ahead and start by choosing our geographic scope. And in this case it's Global Grantmakers. And we'll go ahead and choose a specific continental grantmaker in this case and we'll focus on Asia to begin with. And then from there we can drill down to a specific national grantmaker. It gives them a specific country. And in this case we're going to go ahead and choose Israel. And then we can narrow this even further by adding in a specific keyword or even choosing funders that only give within a specific national location. So say we're focusing on health as our big focus. So we'll enter in our keyword of health here and click on Submit. We can see our results are down to 206 results. We can further narrow this down by sort of removing our geographic scope and focusing only on let's say Israel as our big focus and see our results start dropping down. So we can quickly narrow it down to our specific need based on that magical keyword. Now also our Canadian database which I'm going to show you now has profiles of grantmakers that provide support within Canada and also provide support globally as well. So let's go ahead and start off with national grantmakers who give across all provinces. So we'll see everything we have available there. Then we can narrow this down to provincial grantmakers who give in specific regions. And let's say we're focusing on British Columbia for this search. And then we can go one step further by adding in a specific area of interest. Let's say we're focusing on health again. So from our drop-down menu we'll click on health, wellness, and general. Just a quick note, every single one of our main categories has a general option. So if you're not sure of the exact specific search term and you don't want to go in and find that right search term, although I strongly encourage you to do that, you can always just look in the general category and see everything related under that main general topic. And we can even further narrow this down and say we're focusing on, you know, just a target population again and just children and youth. And we can go ahead and click that box as well. And again, we can keep narrowing our results to our specific need. In fact, we can focus on just British Columbia if we wanted to. But again, we have limited time today so I can't spend all my time just doing searches left and right. But one other area I did want to show you is we have listings for national and provincial funded agencies, provincial funded agencies, and excuse me, for provincial departments and provincial funded agencies along with federal funded institutions will support each of the different provinces of Canada. And you can also find all those links within our Canadian government grants and loans section. So all of this information here, all of this is considered a part of our primary research. And as we've gone through this, we've probably developed a really big, extensive list of potential funding sources. Now as I said previously, in the Build Strategy section here at Grant Station, we have a step-by-step tutorial that really walks you through this process called Creating a Grant Seeking Calendar. This will help you with the next steps which we also refer to as secondary research. And at this point, Sarah will step in and let you know how this can be done. Thanks, Jeremy. So Jeremy showed you earlier where you begin your research by filling out the Project Description Worksheet. So now you have a list of possible funders. In this section, I'm going to show you the Decision Matrix. This is a tool to build a grant seeking calendar. The Decision Matrix will help you establish an annual grant seeking calendar that will keep your grant seeking focused on those programs and projects that need funds. Establishing basic criteria for judging whether a grant opportunity is worth your organization's investment of time and energy. That's a true time saver. So before you begin to create a grant seeking calendar, you'll need to develop an analytical tool that can help you make decisions about which grant makers you should pursue and which ones you should put aside. This tool does not cost any money. It just takes a little time. So you can refer to this tool as the Decision Matrix. This matrix can be applied for requests for proposals or grant application guidelines. You can use Excel or Smartsheet or any other spreadsheet program. The matrix is comprised of rows and columns and relies on simple addition and subtraction to reach a conclusion or a score. The matrix will establish a set of criteria, that's the rows, each assigned a weight, that's the columns, which when applied will influence your decision on whether to add this particular grant maker to your grant's calendar. Now this is somewhat subjective but less so than you might imagine if you give careful thought to each criteria, the weight it carries, and the final score. It will look something like this, and Jeremy has a sample one up here that you can use. And by the way, you have access to all this information, so I'm just going to show you right now. We got a total score of 37. So for whatever reason you want to set any grant makers you identify with a score of 34 or lower, set those aside for now and now you're going to continue on with ones that have a higher score. So and if this seems complicated you can see this tutorial. We provide you with all the steps in building a grant seeking calendar. So then you have your list of say out of 15 funders, you have a list of about eight funders that have a score of 37 or higher. Now you can start creating a calendar, and this calendar is an organic document. You can build this calendar going 12 to 18 months out, and it's always going to be changing as the deadlines come and go. But this grant seeking calendar you can share with your co-workers, with your executive director, the resource development committee, your board of directors, everyone involved in the fundraising arm of your organization. This just works really, really well as the feedback we have gotten from many, many organizations.  However, that's not the end of your secondary research. You still have more research to do. You'll want to generate questions. You'll be asking the grant maker to help you determine if they're really the best fit for your project. So in this section you'll just go to additional research and you'll want to go to the grant maker website. We also have the IRS Form 990. Now GuideStar offers this free service. We have a link right there. You go to guidestar.com. You create a username and password for yourself. It's free. And then you can do your research on where the money has been given in the past, how much, and to who. So that's a really, really good resource. We also have the Ask a Funder here. And you can use this as a guide for the appropriate questions that you can use when you contact a funder. And we also have a little article here on in-kind gifts where you can learn to leverage those in-kind donations in your grant awards. So with that we even have more information we'd like to share with you that are public resources. And Jeremy do you want to show folks that section? Yeah, I'll try to fit this in pretty quickly. And again we only have a limited amount of time today and we'll try to get to your questions as well. But I wanted to show you under public resources which does not require membership at all. We have quite a few really handy areas. The first one I want to show you is Pathfinder. Now as I mentioned earlier if you're interested in learning more about developing yourself in the Grants arena you should utilize this part of the Grants station website I suppose. It's really here to help develop your career path as a Grants professional. Now this library of resources is covering the areas of Grants research, writing, and management as well as strategic planning. And to get started you can just browse through all the different listings that we have, search through the specific listings, or even use our find your path interactive tool to get a customized curriculum for your specific learning plan. And this is available to you simply by visiting GrantsStation.com. Another important to note about Grants station is that we're very interested in what's happening and what are the trends that are occurring all over the philanthropic world. And to that end we have our trend track site which I'll go ahead and go to right now. Now our goal is really for you to make the most of your Grants thinking time and to get the most from your grant requests. So as we perform research for all of our grant listings and talk with nonprofit organizations we get exposure to new practices and ideas. And we share those with you through trend track. See the Grants thinking is our semi-annual report of survey results from our Grants thinking community. GS Insights is our blog that features the thoughts and observations of our staff, CEO, and guest writers. And then Talk 2020 is our podcast which focuses on significant trends in philanthropy as well as highlighting specific grant makers addressing various issues. Now the important thing to remember though, as you're going about and doing your research and as you're looking for funding for any kind of project, it's always important to have some kind of a grant strategy. So a strategic approach using primary and secondary research along with Grants stations tools really allows you to apply your time words most effective and efficient in your search for funding. So with that I think we are right on the money, Sarah. And I'm sure we probably have a couple of questions that we should try to fit in before we have to sort of call it a day, but what you think we should go ahead and begin with. And I can even probably fit in an extra search if you think it might be helpful. Okay. Well Linda says, can you import search results into an Excel spreadsheet? That's a really good question. And currently at this point you can't export them directly into an Excel spreadsheet. There is a way to get the information in and we're currently experimenting with a quicker way to do that. But the best way to get the search results in is to really just copy and paste. The great thing is is everything follows a basic database structure within our website. And I know I'm getting a little too technical. But basically if you select it and do a copy and paste, it will copy and paste directly into Excel. But the best way again, I'm going to encourage you to do this, save your search criteria, and when you're ready to apply, email the profile directly to yourself. Excellent advice. Denise asks, so does one subscription cover the entire org? How do multiple people log in and share the info? Does every individual need a subscription? How about if I field that Jeremy? That is all for you, Sarah. So when you purchase a GrantStation membership, you are purchasing access for one username and password. However, we understand many organizations are small and we don't have any problem if you want to share your login credentials with one other person in your organization, but you can't share it with everyone in the organization. So if you have a number of people in your organization that want a membership, you can buy through TechSoup, through this upcoming promotion, multiple memberships. You just put two GrantStation memberships in your cart or three if that's how many you would like. So you do have that opportunity. Mary asks, do GrantStation and the Foundation Directory include the same U.S. charitable grant makers, or does one organization have a bigger database of charitable grant makers than the other? I love this question because it does come up often. And it's one of those great questions because we both have Foundation Center and GrantStation are two different organizations, and we approach research in two very different ways. One thing that's really important to note about what's here on GrantStation and what really separates us from other organizations that archive and collect its information is everything that we have listed in our database is currently active and accepting letters of inquiry or unsolicited requests. So it's one thing to have, let's say you have 25,000 results. That's great. But how many of those expired in 2007? How many of them are no longer accepting requests as of 2014? How many of them are only giving to local organizations and won't accept your request? That's time you have to spend researching. We take care of that for you here at GrantStation. What you find listed is what's currently accepting unsolicited requests or letters of inquiry. Okay, we have a couple of really good questions. Lisa asked, help me justify the cost to my boss. Besides the ease of searching, what sets GrantStation apart from Grants.gov? Well, we're so much more than Grants.gov. But Jeremy, I'll let you answer that. But Grants.gov specifically? Is that an example? Okay, well, yeah, besides the ease of searching, what sets GrantStation apart from Grants.gov? Well, okay, just one quick thing. Grants.gov is a free resource that you have full access to. You don't have to pay money to access Grants.gov because that's provided by the government itself. The good problem with Grants.gov is it's a little complicated to deal with. And at times you can get lost within it. What we provide is a front end for accessing Grants.gov. So you can access Grants.gov without Grants.ation completely. Grants.gov is an excellent resource, and it's basically how you apply for federal grants is through Grants.gov. So I think you probably meant someone like Foundation Center or another organization that provides specific grant resources. And to answer that question, the better way to think of it is we provide research within the areas of state-based funding and also federal-based funding as well as actively accepting requests grant listings is what we have. And that's what really sets us apart on top of our other areas that we have that walks into the process of writing grants and then how to build strategy and along with our interactive tools on top of that. So that really separates us. And with this current promotion with TechSoup, it's pretty much the lowest you're ever going to find a membership. So $99 is a pretty good price for getting access to all this information. Well, and Mary asked, is the grants seeking calendar part of the special deal offered on February 6th, 7th, and 8th? And we should reiterate, Jeremy, that when you purchase a Grants.ation membership, you have access to all this information to find grant makers, build strategy, write proposals. The only additional fee are the Grants.ation online webinars which are open to the public as well as members. That's your only additional cost if you want to join in a 90-minute live event. Otherwise, you have access to everything here on the website that we just pointed out. And one thing to keep in mind is we always, Sarah and I have been doing this tour for a long time and there are so many different areas of Grants.ation we can tell you about, but we have a finite amount of time to do that. So we are highlighting just the ones we think are the most beneficial for getting in, doing a search, putting together a grant strategy and moving forward. But there are so many other resources that we have and that we highlight once you're a member of Grants.ation. So we are cherry picking the ones we think will be the most beneficial today but there is a lot more that we have under the hood. And if you do want to do a little bit more research and you are still not quite sure, you can simply take a look at the member benefits when you log in to Grants.ation or even just go to the Grants.ation website, don't even log in. There is a member benefits option. You click on that. It shows you all the different member benefits you receive as a member of Grants.ation. Okay, we're coming to near the end, but we have time for just a few more quick questions. Norma asks, is this membership ongoing or is it a yearly membership fee? And Norma, this is a yearly membership fee. It's $99. It's a special promotion for one year. So that's one username and password to access the Grants.ation website. So that is a yearly fee. And Karen asks, is Grants.ation appropriate for a new nonprofit who has never received a grant before? You betcha. Jeremy, why don't you tell her some of the resources she might be able to access? Oh Karen, it's almost as if we were built for you. That's the best thing about Grants.ation. So if we go ahead and take a look at our U.S. Charitable really quickly. And again, we're going to have a lot of time. I'm going to try to do this really fast. But let's go ahead and just do national grant makers. You have across all states. And let's say, we don't really know a lot about your specific organization, but I'm doing a quick and dirty search here. This is something Sarah taught me, which I really love. We can go into specific types of support. And which area would I want to look in, Sarah? This is one that you always know exactly where to go, and I always forget slightly. Sorry, I was answering a question. What are we looking for here? She's new, so what's the type of support we want to start for her to look under? It's the infrastructure, right? Startup, that's right. Startup. So right here, we're clicking Startup Funding, and we're just looking nationally. That's all we're looking for. So there, 123 results. This is like, okay, I'm brand new. What do I do? Okay, well now let's add specific areas of interest to our startup funding that we need. Grants.ation, if you are new to grant seeking, and you have not received any grants before, Grants.ation is probably going to be a boon for you. You could simply just go through Build Strategy and then go through our Getting Started, which is how to put together everything you need for applying for grants, how to write a letter of inquiry, which is that first step when you're talking to an organization that will provide you with funding, and then a step-by-step grant proposal of how to write it with downloadable examples for each category. So Grants.ation is probably very appropriate for your needs. Okay, well we have just lots of questions. Unfortunately, we'd have to extend it another hour to answer them all. So hopefully this has provided a good deal of information. This webinar is being recorded, and so you'll have time to review it as well before the sale comes around. I really want to thank everyone for joining us today. I want to thank TechSoup for hosting this. It's always our pleasure sharing this with folks. And with that said, Seema, I'm going to turn this back over to you. Thank you so much, Jeremy and Sarah, for presenting today. I know you guys had a lot of questions, so we're going to do our best to answer them after the webinar. All of you guys should be receiving an email and everything will be posted to the blog. So before we go, it's really helpful for us to know in terms of content, if you enjoy the presentation. So if you want to just chat one thing that you learned in today's webinar in the Q&A section, that would be really great to hear if you have a couple extra seconds. And then after the webinar is over, you're going to get a post-event survey where we have a few questions. I think there's about 10 questions on there. Again, your feedback really helps us dictate content for the future, so any feedback that you have for us is extremely helpful. We are on social media, so Facebook, Instagram, Twitter. If you want to stay up-to-date on anything that's happening in terms of blog posts or upcoming webinars, feel free to follow us on social media where we post all of that information. We have a blog that we update a couple of times a week, so we try to post a lot of useful tips and things like that over there. So you can find that at blog.techsoup.org. And we have another webinar that's coming up actually this Thursday called Build a Grant Writing Framework for Success. So we'll be going into more detail about grant writing. So if you have the time and are interested, that's happening this Thursday. And then on 2.13 and 2.15, we have a couple of QuickBooks webinars that are happening, so that's also on our website. Again, the Grand Station promo, I know we talked about it in a lot of detail already, but it's $99, February 6th, 7th, and 8th. There's the URL at the bottom. If you want an email notification, we can send that to you so you don't forget about it. And just again, I want to thank Jeremy and Sarah, the presentation was super detailed and helpful, so I hope you guys really enjoyed it. And then also to our webinar sponsor, ReadyTalk. So yes, thank you all for joining and we hope to see you on Thursday.


Good morning everyone and welcome welcome to the stocks to a show play of the day here LL I call this this morning. It is actually not a Brand-new bearish cat. This was an amazing call that I made today. Amazing amazing amazing amazing It's seven hours here and probably goes on to be ten hours This is this is one of the things that I think that I don't I don't I don't even how to know How I even call something like this. It's just I'm in the zone I'm in the zone of seeing things that I can't even sometimes Tell you how I see it. Okay But how am I able to actually see it? It's because I've trained my brain so well to read price action Okay, so I call this today expertly And it wasn't a gap down. So I have to be clear about that. This was a follow-through continuation gap down That I called today to short and it's working and it's a seven-hour trade here And it went to the dream target and it's probably going to go to another crazy number even yet today as well Or it could although who would be in this still at this point or to that crazy number the next number wherever it goes But the thing is that when you train your brain to reprice action correctly You can make phenomenal calls like I do all the time and the markets one of them LL is one of them here today as well If you don't train your brain right to reprice action correctly whether bullish or bearish Then it is challenging to trade the market when things don't seem to fit all of the criteria that you would normally look for you know all aligned which many people do and things like You know machine type generated software programs that they buy or people are looking for the moving averages to connect or people are Looking for things to hold support or resistance people are looking for things That if they don't they don't always get them lined up right and then they wonder why the trade doesn't go on to work It's because you shouldn't be making decisions based on things like that You make decisions based on price action and I've become good at reading price action because I'm reading the price action in the gaps That happen on the daily chart of a stock whether they are bullish gaps or whether they are bearish gaps And actually there were several gaps here in LL in the last few days not just the one from today today Actually the stock gap up. This was a gap up today on the previous day on Friday The stock closed at 3055 the stock opened today at 3077. I called a short today in a gap up I just want to be clarified that this isn't a gap down and This actually gapped up On Friday a gap down. I did call this short Friday too. Although. This is a massive trade today This was very sloppy on a Friday, but it didn't work. This was a gap down though The previous day on Thursday this gapped up It gapped up the previous day on Wednesday and it gapped up here on Tuesday So this actually has been gapping almost every day of its life in the last week. Look at that So how am I able to read the price action to determine that this was lower today and Friday? It's because I'm reading all the gaps that happen here in the chart and There were both bullish gaps and bearish gaps and I called a short today and actually a bullish gap up the stock gap Up today in LL what I called it as a short Not every gap up is a long not every gap down is a short But I'm reading the price action in the gaps to determine Whether or not it is a play that could be done intraday in the day is a longer short Which this was a short intraday today or whether on the overall daily chart It could be played later as a longer short Based on the gaps by reading the directional bias of what the gap is doing to help me determine What is happening in the chart in the price action, but I'm getting up from the gap That's where the 26 point rating system really is so phenomenal because by using that 26 point rating system It determines what the gaps going to do on the day short or long Whether it's something you want to buy or short and that's how you make money as a day trader And actually that's how you make money as any type of trader because you can't make money in something if you're in it in the Wrong direction if somebody's falling in your long it you wouldn't make any money if it's fall if it's you want to be short of something's falling you want to be buying stuff that is Rallying and you have to learn how to read gaps or read that right And it's not based on moving averages and it's not based on some kind of machine generated black box system That you would purchase or buy or Fibonacci's or any type of other indicator system It's really just reading the numbers and I accurately read the numbers in this today. I Really just kind of in all my software today actually because I I just was in the zone here So the stock rallied and here's the entry right in here time of the day is 935 And he went to the dream target, which was 28 got within 22 cents of it This is a seven-hour trade almost seven hours. I also called an ad or a trade in here that held I Think most people did this one, but I did call this in here as Well with 75 by 31 15 and that helped to you could have taken more and look at this and To do this today with the market doing what it is. It's just a phenomenon call the market has been rallying all morning It's 1045 This was not a new gap down. It was a gap up and the market is Rallying power training up all morning and I called this in the first five minutes of the day And it dropped and was almost a seven-hour trade and went to the dream target and didn't even gap down It gapped up and I called it at the exact number at the exact entry while the market was rallying Phenomenal call here phenomenal and I'm able to do this because I am in my own personal space where I am in touch with the stocks When they trade and the market and the numbers and that's why I can expert expertly read Where the targets are and where the resistance is and where the sport is in a stop That's how I'm able to make money and you will never make money in the market trading if you don't understand how to read price action I'm floored by the fact that people think that they can just follow someone Aimlessly or just look at aimless indicators and make money in the market You will never be successful consistently unless you learn how to read price action And that's why I make people take the class in order to trade with me in the live room because you will not make money Consistently just even sit in the room with me because you'll screw up a trade or not do it right or mess up your size You're not going to stop with the right place or do something to make a mistake If you don't understand what you're doing You'll only get conviction from the knowledge and you have to have conviction to trade You have to have a hundred percent conviction to trade and you get that from the knowledge and you get that from trusting yourself And it's called conviction and I have it. I have any gaps. I have it in the market. I have it in shorts I even have it a long time because it's called the markets of bullishly so well And the market's gonna make a new high any second any day any week And I have it in myself and my own abilities to trade every price action and even teach people I have the conviction of myself to even teach people so that I can go out and take the knowledge And I taught myself from the market and go out make money and they are doing it and make the calls like I did today I have a hundred percent conviction and trust in myself And if you want to successfully trade in the market and make money you have to have conviction you have to have conviction take risk And you have to have conviction to do the necessary things you need to do to make the money in the market And you have to trust yourself the people that follow me They've been following me they can make up their mind about the class have no ability to be able to even trust themselves And make a right decision about whether or not they should take my class or trade or do anything at all If you don't trust yourself to be able to do this How are you gonna be successful if you can't even make a decision if you want to take my class or not? How can you even trade you have to be able to trust your own decision-making capabilities? Whether or not you want to learn from me take the class train gaps trade the market at all or do anything period Whether it has to do with your personal choices professional choices. This is not just about trading People don't trust themselves and then they wonder why they're not successful and they can learn anything at all from me it's about getting a hundred percent conviction trusting yourself making a decision and moving forward and Believing in yourself and your own abilities to do it and even if you make a mistake That's not has nothing to do with anything You will learn from that to move forward into the next place in your life to not make that same mistake again And you will be wiser and you will be stronger Incredible incredible incredible call. I made today an LL incredible and this is exactly what I do And this is why I am the bearish short stocks. Wish Queen of all time It just incredibly reprised well So good job today Everyone that did do this in the live trading room then touch to call Good way for those people that did this to start the week Monday, March 16th. Have a fabulous day everyone Golden gap class if you want to learn how to Train from me and read price action and make money trading the US stock market I teach a class and I'm teaching people how to do it The class is March 21st and 22nd this weekend email me at Melissa at the stocks wish calm if you want to sign up Thanks, everybody. Have a great day


Hello, so we begin today a new chapter, we have left classical analysis and we will now take up some aspects of modern theory that is started by Laurent Schwartz in 1945 theory of distributions. Distributions were also known as generalized functions in older literature. So since its inception in 1945 Laurent Schwartz, distributions have played an increasingly important role in modern analysis. Here we shall briefly touch upon some very basic aspects of distribution theory, we do not have too many capsules left to undertake a very thorough study of distribution theory. And we shall look at those aspects in conjunction with Fourier analysis, a thorough account is clearly outside the scope of this course, emphasis will be on examples and manipulations with distributions. And we shall only be looking at the so called tempered distributions which are relevant in Fourier analysis. For understanding the role of distributions in modern analysis, it is highly recommended that you look at this essay in Lars Garding's book, Some Points in Analysis and its History, American Mathematical Society, Providence, Rhode Island, 1997, the 10 page essay page 77 to 87. In fact, if you pick up this book of Lars Garding, a thin book, it has got 10 different essays on different parts of analysis. One of them is a gem and reading any of them in detail will be an excellent project for a course. And there are several books on distribution theory. I have picked out two of them, Ayaan Richards and H Yuan, Distribution Theory, a non-technical introduction which appeared in 2007 by Cambridge University Press. This is the second edition of course. And then Stichartz's book, which I already referred to before and I will give this reference again, Guide to Distribution Theory in Fourier Transforms, CRC Press, Boca Raton, 1994. It's highly recommended that after this course, you read Stichartz very thoroughly. It's a very well written book. There are of course comprehensive accounts on distribution theory such as original book of Laurent Schwarz, which is in French, but easy to read in French. And this Lars Hormander's analysis of linear partial differential operators volume 1, a reference will come later in today's capsules. There are other books which are written in a very classical style. There's one book called, called Generalized Functions by Lighthill. Lighthill was a researcher in wave propagation and he has done a lot of phenomenal work in the theory of wave propagation. And Lighthill's book can be also an enjoyable introduction, but very classical introduction to generalized functions as they were earlier called. And of course, there is a five volume account by Gelfand and Shiloh, generalized functions volume 1, 2, 3, 4, 5 and that's a very, very comprehensive account. So with this introduction, let us proceed to the definitions. Remember that in chapter 4, we introduce the space S of r, the space of rapidly decreasing functions which are introduced by Laurent Schwarz. The space is very convenient as we saw for discussing the Fourier transform. Why is it very convenient? Of course, it consists of C infinity function. So, I can differentiate elements of S of r as many times as I want and all the derivatives decay very rapidly. You decay very rapidly even after multiplying by polynomial of whatever degree you want. So, e to the power minus x squared, for example, is an element in this Schwarz's class. And of course, we saw many examples in the Schwarz's class. For example, we saw examples coming out of the gamma function and so on and so forth. And so, we shall not say more about this Schwarz's class because we have done a very thorough study of this. Now, let us push this a little further. So far, we have not been worried about the topology on this space. It is a vector space. But we only saw that this vector space was dense in Lp. But we are not interested in the Lp topology or the L2 topology on S of r. We want a specific topology which is suited for S of r itself, something which is more intrinsic to S of r. So, what is that topology that, in fact, is a metric space? Writing down the metric explicitly is very inconvenient. What we shall tell you is which are the convergent sequences. If you understand which are the convergent sequences, that should suffice. And also, you can take it for granted that there is a metric in the background. Never mind what it is. So, definition 105, a sequence of functions fn's which are rapidly decreasing converges to f, if the following happens. You take any two natural numbers, k and l, differentiate fn l times and multiply it with x to the power k and do the same thing with the function f, differentiate that l times and multiply by x to the power k, subtract, take the difference and take the supremum of the modulus over r. So, you see displayed equation 10.1, supremum over r mod x to the power k, lth derivative of fnx minus lth derivative of f of x, this must go to 0 as n goes to infinity. If then you will say that this sequence fn's converges to f in S of r. In particular, if I take k to be 0 and l to be 0, we see that fn's must converge uniformly to f. By taking k to be 0 and l to be 1, the derivatives of fn must converge uniformly to the f prime and so on. So, all the derivatives of fn's must converge to the respective derivatives of f uniformly on the whole real line and this must persist even when I multiply by x to the power k. So, you see that this is a very strong notion of convergence. So, convergence in S of r means a very powerful form of convergence and of course, S of r is a vector space and so it has got the usual vector space operations f plus g and lambda f. These vector space operations are continuous with respect to this notion of convergence. I already told you that it is metric space and so continuity and sequential continuity are equivalent and you can easily see that if fn's converges to f and gn's converges to g, then fn plus gn will converge to f plus g and so on and so forth. In other words, this space S of r is a topological vector space as you call in functional analysis and this topological vector space. Now, what are the other examples of topological vector space? What are the topological vector space to begin with? It is a vector space of course and the vector space also has a topology put in and once you put a topology on the vector space, you have a product topology on v cross v and what is addition? Addition is a mapping from v cross v to v and this mapping must be continuous and what is scalar multiplication? It is a mapping from r cross v to v, r has its usual topology, v has been endowed with the topology, r cross v will take the product topology and the scalar multiplication that is as a map from r cross v to v, it must be continuous. That is exactly what we have checked here. Addition and multiplication by scalars are both continuous and so S of r is a topological vector space. Of course, you already know several examples of topological vector space. Every normed linear space is first and foremost a topological vector space. So how is this S of r different from those things that we studied in chapter 7? Hilbert space is a topological vector space, a Banach space is a topological vector space. So how is it different? It is different from these other spaces that we have studied so far in one very important way and that is it is not a normable space. There is no norm on this vector space in such a way that the norm convergence agrees with this convergence, this sequential convergence the way we have described it. This notion of convergence does not arise from any norm on S of r. In short, S of r is not a normable space, S of r is not a normable space. This makes it a very different from the other spaces that you have studied like L infinity, L 2, C of closed intervals 0, 1 and so on so forth. It is not a normable space. The first exercise I already talked about, you have to do the details. The second exercise, I have a sequence xp of minus x squared by n. Examine whether this sequence converges in the space S of r, I already told you the answer. No, why is it? Remember when I talked about convergence, fn converges to f means fn converges to f uniformly, the derivative is also converges uniformly and so on so forth. Then this persists after multiplication by x to the power k also. So where does e xp of minus x squared by n converges as n goes to infinity, it converges to the constant function 1 point wise. Unfortunately the constant function 1 is not in S of r, so it is out of the window. Xp of minus x squared by n does not converge in this space. What about the sequence xp of minus nx squared? If it were to converge, then the convergence was uniform and the uniform limit of a sequence of continuous functions would be continuous. What happens when x is 0? This number is 1. What happens when x is not 0? Suppose x is half, e to the power minus n upon 4 with the presence of the minus sign here and the positivity here will mean that this will go to 0. So the sequence goes to 0 when x is not equal to 0 and that converges to 1 when x equal to the limit function is discontinuous. So the sequence does not converge in S of r. Prove that convergence in S of r implies convergence in L2 norm. Now this will follow if you have proved earlier the exercise that S of r is dense in L2 norm with respect to the L2 norm. If you have done that exercise, then you would have along the way would have encountered this but I am leaving this to you as an exercise. How do you go about the job? You have to show that if fn converges to f in S of r, then fn converges to f in L2 norm. The trick is fn converges to f means what? Go back to this expression. Suppose I take L equal to 0 that means I do not differentiate at all that means x to the power k multiplied with fn minus f that supremum goes to 0. In particular if I take k equal to 2 x squared into fn minus f goes to 0 in supremum. In particular x squared plus 1 times fnx minus fx also goes to 0 add the 2. So you see that x squared plus 1 multiplied by fnx minus f of x is bounded if it goes to 0 means it will be bounded in the first place right. So what we get modulus of fnx minus f of x is less than or equal to some constant upon 1 plus x squared. So straight away we see that the L2 norm of fnx minus f of x must be bounded. Now can you do any better than that? I just got you started how to think about it. So you can do better than that you can actually show that fn minus f in absolute value squared you bound it in such a way that the L2 norm goes to 0. It is not difficult I would like you to work through this. I just got you started as to how to manipulate this multiplying and dividing by 1 plus x squared to some high powers and that can be done. What about the next problem? You take a c infinity function on the real line. The function is 1 between minus 1 and 1 and outside of minus 2 2 it is 0. In short phi of x is a smooth function with compact support and it is 1 from minus 1 to 1. I can also assume that phi of x is between 0 and 1 throughout. So that can be also assumed it is no harm. So now what I do is that I take a function f of x in the Schwarz space S of r and I cook up a sequence fnx. How do I cook up the sequence fnx? fnx is f of x into phi of x by n. What happens to phi of x by n? Phi of x by n will be 1 if mod of x by n is less than 1 that is if mod x is less than n then this function phi is going to be 1 and if mod x is going to be greater than or equal to 2n then the function is going to be 0. So what is happening to this function phi of x by n? This function remains 1 on a very long interval minus n to n and this becomes 0 outside an interval of double the length outside of minus 2n comma 2n the function is 0. So this function phi of x by n has plenty of time from n to 2n for it to decay from 1 to 0 it descends from 1 to 0 gradually and so that you should draw the graph of this function. It is a very nice gently descending graph. Now you estimate fnx minus f of x will be f of x into phi of x upon n minus 1.  But when you differentiate phi it even gets better you pick up a n in the denominator and it gets better. So use these ideas to show that fn converges to f in the Schwarz space why have I done this? What are the advantage of doing this manipulation? The advantage is that this fnx is a product of fx times a smooth function with compact support. It means that smooth functions with compact support are dense in S of r so cc infinity smooth function c infinity function with compact support are cc infinity. So cc infinity is dense in S of r so S of r is a very pleasant space to work with it is a metric space it is a topological vector space it is actually complete topological vector space the Bayer category theorem holds for example and it has another feature that I will talk about in a few minutes. Now as it happens in functional analysis when you take a topological vector space it is a vector space alright so because a vector space I can talk about linear transformations from v to r or I could take linear transformations from v to v as the case may be and I can ask whether this linear transformation is continuous. So we are interested in continuous linear transformations now there is one obvious operation I can do on S of r what is the obvious operation differentiation if f is the Schwarz class f prime is also in the Schwarz class and the derivative is a linear map is this derivative the is differentiation continuous as an operator on S of r. S of r is a topology it has a metric with respect to that metric will it be continuous that is addressed by theorem 106 the differentiation map f maps to f prime is continuous let us prove it let fn be a sequence in S of r converging to f what does it mean what is the definition recall the definition it means for every pair k and l of natural numbers we have differentiate fn and fl times take the difference multiply by x to the power k to the supremum of the absolute value that goes to 0 as n goes to infinity display 10.1. Now this is true for every pair k l so certainly I can replace l by l plus 1 once I replace l by l plus 1 then dl fn x is dl of fn prime of x because l has been replaced by l plus 1 so one derivative falls in fn prime and I get this 10.1 prime so supremum over r mod x to the power k dl fn prime x minus dl f prime x goes to 0 as n goes to infinity and that exactly means that that fn prime converges to f prime in the topology of S of r and the proof is complete. The next is the Fourier transform we know that the Fourier transform maps S of r to itself we have proved that this operator is continuous with respect to the l 2 norm but now we are not interested in the l 2 norm we are interested in the topology of S r which is adapted to S r to study of S r so we discussed the continuity of this Fourier transform with respect to this new topology that we introduced this new notion of convergence that we introduced. Now again we need to recall from chapter 4 the relationship between the Fourier transform and differentiation and the Fourier transform and multiplication by polynomials. The relationship was very simple and it exchanges roughly speaking differentiation and multiplication by the variable except that there is a minus sign floating around and then 1 upon i floating around both these are going to become irrelevant because I am going to take the absolute value. So once I do that then we have this equation chi to the power k l the derivative of fn hat minus f hat and I can take the Fourier transform of this whole thing and I am getting the Fourier transform of the k derivatives and multiplication by x to the power l fn minus f. The script f also stands for Fourier transform because it is a very clumsy thing to put a hat on this whole expression it does not look very nice. So I am going to use this script f also as an alternative notation for the Fourier transform. So you got this equation here out here and now what are we supposed to show we are supposed to show that if fn converges to f in the Schwarz space fn hat converges to f hat in the Schwarz space. What does it mean to say that fn hat converges to f hat in the Schwarz space it means we have to check but that you take the difference between fn hat and f hat differentiate it l times and multiply by chi to the power k take the absolute value take the supremum and it must go to 0. I have already done the algebra for you and the absolute value of the differences is basically this. Now I need to estimate this remember from the very fourth chapter that from the definition of Fourier transform if it is the Fourier transform and take its absolute value and want to take the supremum take the absolute value inside the integral e to the power minus i x chi that is a unit complex number that goes away and you are just left to the L1 norm of H. Of course all this is valid when H is a L1 function but our elements are all in the Schwarz space and they are certainly in L1 and I can use this estimate and so what do I get?  Now what we are going to do is we are going to multiply and divide by the usual trick 1 upon 1 plus x squared and we are going to play with it. So, what we are going to do is that when you multiply and divide by 1 plus x squared what is going to happen when I differentiate this I am going to apply Leibniz's rule right. It may happen that certain number of derivatives will fall on fn and certain number of derivatives will fall on x to the power l the total number of derivatives is going to be less than or equal to k here and the remaining derivatives will fall on x to the power l and I am multiplying by 1 plus x squared how many derivatives k derivatives. So, I am multiplying by x squared. So, I will get this t exponent will go from 0 to k plus 2 and so that is what I am going to get and of course, when I apply the Leibniz's rule I am going to get some binomial coefficients whatever it is I am not interested in what they are exactly it is Cst it is clubbing it at some constant and remember I multiplied by 1 plus x squared I am dividing by 1 plus x squared advantages that this is integrable and this expression I think the supremum of this right. So, I think the supremum out. So, summation s from 0 to k summation t from 0 to k plus 2 Cs plus t supremum of this object over here as it is integral of dx upon 1 plus x squared is what pi now what do we know we know fn goes to f in the Schwarz space which means that these expressions sup over r x to the power t ds fn minus ds f this goes to 0 as n tends to infinity. So, the right hand side of 10.2 goes to 0 as n goes to infinity and that means that fn hat chi converges to f hat chi in the space s of r as n tends to infinity. So, let us record this as an important result theorem 1.7 the Fourier transform as a linear operator on the Schwarz space is continuous with respect to this topology that we are introduced on the Schwarz space a very strong topology and we are introduced, but even with such a strong topology the Fourier transform is actually a continuous operator in chapter 4 we were interested in the L2 norm and s of r was dense in L2 and we were only interested in the continuity of the Fourier transform with respect to the L2 topology which is much weaker than this new topology that we are introduced on the Schwarz space. Why have we introduced this new topology on the Schwarz space we shall see in the next capsule where we are going to introduce temper distributions I think it is a very good place to stop this capsule. Thank you very much.


And welcome back. So welcome to day three of KubeCon and CloudNativeCon's grand embrace. And with gratitude in our hearts, let's set the pace. So the keynotes have inspired, the breakouts have taught, and in this cloud-native realm we've eagerly sought. But let's not forget, as we gather here today, the events team who guides us each step of the way. So thank you, events team, for everything that you do. From planning to execution, your dedication so clear, guiding us through KubeCon year after year, the seamless logistics, the details you've embraced, have left us all in awe and deeply amazed. So here's to the team that makes it all run for KubeCon that's second to none. So attendees, welcome to this vibrant sphere. And events team, thank you for what's brought us here. On day three of KubeCon, together we gleam. With knowledge and collaboration, we continue to dream. Thank you, everyone.


Hi everybody, Joe for jasphyscasewrakes.com coming out you with our last filler pack To fill up that obsidian football break. That's been marinating on the site for a while. I appreciate everybody Finally making that happen. Thank you. We did it So we're gonna do the hobby pack first the break itself first with the first dice roll The second dice roll will be for the giveaway part the final six spots big. Thanks to this group here For getting it on the action. I appreciate it. There are the teams right there Let's roll it. Let's randomize names and teams one and a four or five times one two three Four and fifth and final time Got Jeff down to will one and a four five times for the teams one two three Four and fifth and final time after five times. We got the Steelers down to the Falcons All right, here's the first half of the list right here No trade windows in this stuff, but in these filler breaks And there's the second half of the list down here. Yeah, let's just print this out Well, that's actually it's alphabetized by a team first Then we can print this out and rip open the pack see what we get out of there Gather up all the names again re-randomize them And then the top six will be in the next break in the next video Which will be that obsidian team all break at long last There's the final print out hot off the presses Thanks everyone for getting in once again, I appreciate it There's a to a nice That mosaic pattern And a Jalen Hertz and a Clyde Edwards II layer All right, so Oliver got randomized the Eagles gets the Jalen Hertz rookie card Nice he's been playing pretty well this season Clyde Edwards II layer NFL debut rookie card And that's for the chiefs who shall act my raiders today Will with Kansas City and the mosaic pattern to us is pretty nice Brian with the Dolphins He came on in relief and looked pretty good. So maybe Maybe his stock was up and it was a little down. Maybe it's climbing back up again There you go now Not a bad pack. Let's uh, let's give away those spots. Let's grab everybody's names once again new dice new list And it'll be the top six After nine five into four nine times good luck one two three four five six seven eight And ninth and final time after nine So from seven on down, it's going to be sad times Very very close for Aaron no cigar though But I appreciate you giving it a shot. I appreciate everybody giving it a shot. Thank you Top six you're happy times though because you're in that next break Happy times for Will Dennis Jordan Will Brian and Chad Congrats to the top six there And we'll see you for the next in the next video for the next break. Bye. Bye


Save 10% with my code Bobby10 on raw, organic, grass-fed and grass-finished, freeze-dried organ meats from grassland nutrition. Link in the description box. All right guys, welcome back to the channel. If you're new, my name's Bobby. Guys, today we're going to react to a super old video. This has been uploaded 13 years ago by the Islamic Informant. The video title is Old Bible Proofs Quran Is Right. I know nowadays we have those absolutely amazingly produced Islamic motivational videos of which Hollywood is getting jealous but nevertheless in those old videos sometimes we find true gems. With no further ado, let's have a look. The letters of Jesus' brothers were so dangerous that for hundreds of years the Church Fathers refused to include them in the Bible. They were only finally accepted because the oral traditions concerning Jesus' family were so strong. Yeah, it's quite interesting because if you look into Christianity you would have to rely upon the Church Fathers. There is a thing called canonization. It means that those scriptures are acceptable, that those scriptures are legit and real, similar to the Sahih process of the Hadith. However, it is up to those Church Fathers to decide if the scriptures are legit or not. Therefore, we would have to put our faith into the Church Fathers and accept them as authorities. Some people can do that. I personally cannot. I do not know those Church Fathers personally and I've seen what has happened at the Nicene Council and therefore I personally cannot put my trust in them. Some Christian leaders who said, well, James, I don't know if we should include him. Now he's the brother of Jesus. Why wouldn't you want his letter? Because if you read the letter it doesn't have the gospel that people came to associate with Christianity.  They see Jesus as a human character blessed by God. The thing about the book of James, it's the teachings of Jesus but not the teachings about Jesus. James passes on what he got from his brother. You could say it has no theology and yet it does have a theology but it's the theology of Jesus but it's no theology about Jesus in that book. Doesn't mention the cross of Christ. And this is something that I learned while studying Buddhism. I learned about the teachings of the Buddha but then ultimately had to realize that Buddhism as the word describes, Buddhism is the teaching about the Buddha and the same applied to Christianity. Was it truly about the teachings of Christ? Sure, partially but predominantly it was about the teachings about Christ, who Christ was according to the church fathers yet again. This doesn't mention the blood of Jesus, doesn't mention forgiving sins through believing in the Lord our Savior who's in heaven, nothing like that. It's an amazing book to read. This alternative version of Jesus's message can be found in other texts too. In the Greek Quarter of the Old City of Jerusalem there is another ancient book that was not included in the Bible. It's one of the most contested of early Christian documents, possibly even older than the Gospels themselves. I believe it is the key to understanding Jesus's original message. I'm very sorry that the library is not in its proper situation. The library of the Greek Patriarch has the only complete copy of an ancient handbook specially written for converts to Christianity that was compiled when Jesus's family was still alive. The diddhiké gives a direct insight into what the very earliest Christians thought and did. So this is absolutely amazing if it is true. The priest claims that this here is from the time of Jesus, from the time of the family of Jesus. It would be of course very interesting to see if we have some carbon dating for this document because I never heard about it. It has never before been filmed. Can I hold it? Yes. Wow. This is like being close to the early church. Of course. And I'm not using gloves. Is that okay? It's okay. I'm using this one. Wow. The book begins here. Really? This book is 2000 years old. I'm skeptical because it is so well preserved. There are two ways. One of the life and one of the death. The diddhiké or teaching contains a code of Christian ethics based on the original teachings of Jesus and some instructions as to the proper forms of worship. Which language is this in? There is a great difference between the two ways. But what makes it so dangerous for today's Christianity is what it leaves out. There is no mention of the virgin birth, no mention of the resurrection and above all no mention of Jesus as God. In talk of Jesus in here as Lord and not Lord God suggesting that they saw him as being more human than divine. That's striking. In my opinion in the evangelists in the Gospels and in the works of Apostles there is a balance between the presentation of Christ as the Son of God and as the Son of Man. The Lord to whom we believe is divine but is human. All right so ultimately I do not know what's in those scriptures but the Orthodox priest gave us the Orthodox version of course. He said that there is a balance with that he wants to tell us that Jesus is equally man as he is God. 100% man, 100% God. Fully man, fully God. This is the Orthodox doctrine of course. For 2000 years the church has grappled with the balance between Jesus' divine and human natures. But it is the divine that has dominated. In the process it is Jesus' essential humanity and the humanity of his teaching. No it's not only that it has dominated yet again as I said this balance that they're speaking about is literally that Jesus is 100% man and 100% God that is the balance they're speaking about. Things that has been lost. The Didache also contains a detailed description of a very early communion service. Unlike today there is no suggestion that the bread and wine are the body and blood of Christ. In fact Jesus is referred to not as God's Son but his servant and concerning the servant and the Son of Man. Broken bread. We thank you our Father for the life and knowledge which you made known to us through Jesus your servant. To you belongs the glory forever. Do you think that one of the reasons why they don't mention Jesus as Lord God and they don't mention the resurrection was because they didn't believe that those events had taken place. That Jesus wasn't the Son of God and that Jesus wasn't raised from the dead but instead he was a human, a prophet and not divine. It's a dangerous question. In my opinion the fact of resurrection of Christ couldn't and shouldn't be ignored. Paul speaks and says if Christ was not resurrected then we shall be accused that we speak falsely against God. Exactly so now the priest is taking his worldview from Paul even though he is presented evidence previously to Paul. He's ignoring that evidence even though he himself said that this is from the time of Jesus. Nevertheless he listens to Paul and this is what indoctrination is. If you look into the Orthodox Church as I said you would have to obey the church fathers you would have to obey Paul and Paul says Jesus is God you can eat pork. Congratulations now you can. That doesn't make sense now. What is absolutely fundamental to all Christians including myself is the idea that Jesus is God. Without that there is no Christianity. There is unitarian Christianity as well. Clear is that the very earliest Jewish Christians including Jesus's own family did not see him as God and ultimately that is why the church has gone so far to delete them from the Christian story. Heretics. Heretics. This is Judas the brother of the Lord according to the place. Jude. In the Bible in the letter of Jesus's younger brother Jude there is an extraordinary passage denouncing a group of people who are secretly corrupting the true faith. For admission has been secretly gained by some who long ago were designated for this condemnation ungodly persons who pervert the grace of our God. If you decode it it becomes a clear warning that the new movement was losing sight of Jesus's original message. By this time Jude writes he could see the writing on the wall. He could see we're losing out and it's a battle cry. It's a call to arms spiritually speaking. He's not talking about outsiders. He's talking about people who claim to be part of us that are not teaching what we were originally handed down. These are grumblers, malconsents following their own sinful desires. They are loudmouth boasters flattering people to gain advantage. He's getting very worried and he's telling the little group that would still listen to him. I think in effect he's saying don't listen to all these new things that are coming along. You fight hard for that original faith that was delivered to us. Family tradition. Follow the tradition of the family. Almost a mute testimony to what used to be the way. When Constantine the Great made Christianity the official religion of the Roman Empire 1600 years ago it was Paul's interpretation of Jesus's message that was adopted and Paul based his authority on a series of mystical visions although he had never met Jesus and only joined the movement after his death. They get it. In contrast James and the rest of the family who had grown up with Jesus followed his mission and been at his death. Their version of Christianity a vision of Jesus as a more human character was declared heresy. All right guys and this is it for today's video. Absolutely amazing to see that this was produced by Christians apparently and not by an Islamic production company because when people watch Islamic productions they of course think that they are biased. But hey how about the Christians doing their own research here. Ultimately they come to the same conclusion. It was Paul. Paul with his visions about eating whatever he likes and about abandoning the law and of course making Christ into God. Yet again as I described throughout this video I saw this within Buddhism but I failed to recognize back then that the same has been done in Christianity. If you look at Buddha in his teaching he was a humble man that was going his own way. He didn't want to have followers to begin with nor did he want to have any type of statues but now you look around in Thailand and Southeast Asia and you will see those huge golden Buddha statues. His true message is forgotten and it became all about the worship of the Buddha. The same applies of course to Christianity. If you look at Jesus what is his true message. Why don't we listen to him when he says Israel your Lord is one. When he says the Father is greater than I. No we're not listening to it. We are simply worshiping Jesus. We are praying to Jesus even. It is absolutely unbelievable what has happened but at the same time not so much because it is human nature to worship everything they can see. All right guys but this is it for today's video. If you liked it leave it a thumbs up. If you haven't subscribed already guys please do so. If you want to support this channel via Patreon guys all the links are in the description box below. Thank you so much for your ongoing support and as always may God bless you all much love and peace.