Hello everyone, this is Amit Dan and on this channel you will find financial travel and more videos. If you like what you see, please do the thumbs up and consider subscribing. Thank you. Hello everyone, this is Amit Dan of amitdan.com. You are watching one of my great card videos and today I'll talk about the changes coming to the Scotiabank Momentum Visa Infinite Great Card. If this is your first time here on this channel, I do travel videos, videos on credit card points and viewers and most likely this is the only channel or site where you are going to find non-affiliated, unbiased and honest opinions about credit cards. Because 99% of the other sites you are looking at online, they are actually affiliated and working for the credit card companies. And they are selling the credit cards on those sites so you are not going to get honest opinions and unbiased opinions from them. That's why Canadians are coming to my site to get honest and unbiased opinions on credit cards. And yesterday I had a video about the Scotiabank Gold American Express credit card and today basically I'm doing the second part of the video which is the upcoming changes coming to the Scotiabank Momentum Visa Infinite Credit Card. Now these changes are not confirmed yet so I'm just assuming that you know what these sites leaked are true and the changes are supposed to take effect starting August 1st 2019. So if you'd like to see the Scotiabank Gold American Express video, I'll provide the link in the description box below and today I'll talk about the Scotiabank Momentum Visa Infinite Credit Card. If you compare the changes which are coming to the Scotiabank Gold American Express and Scotiabank Momentum Visa Infinite Credit Card, it looks like to me that the changes that are coming to the Scotiabank Momentum Visa Infinite are not that exciting like the American Express Gold Credit Card because the American Express Gold Credit Card is removing the foreign currency transaction fee, adding some more benefits which I talked about yesterday and let's look at the benefits or changes that are coming to the Scotiabank Momentum Visa Card. So the first thing you'll notice that the annual fee is no longer going to be $99 for primary and $30 for the additional card holders. It is going to be $120 and $50 and the next change I can see here is that the reverse structure. So our rate is still going to be 44% on the grocery and there's a new category being added to the 4% list which is the recurring bill payments and the 2% is now have gas and daily transit. So the gas is moving from 4% category to 2% category and the new category daily transit is being added to the 2% and everything else and drugstore purchases remain at 1%. In the past one drugstore would be at 2% category. And the travel medical insurance there's no change. If you're looking at the American Express Gold then we saw there that they are no longer giving the coverage for over $65 but this card didn't have any coverage for over $65. So there's nothing changed here but the one thing which is changing here that this card didn't have any trip cancellation insurance but now you're going to have trip cancellation insurance which is a new feature added to this card and there's no change in trip interruption insurance. And if you look at all other insurances for example flight delay baggage and travel accident, collision loss damage and purchase security extended warranty there's no changes but we see a new category for insurance which is the mobile insurance or cell phone insurance and you would be able to get $1,000 up to $1,000 for loss to stolen or broken or accidental damage due to the accidental damage coverage which we didn't see it before so this is a new category. And visa infinite benefits it's not changing because these changes are related to the visa infinite so Scotiabank has no kind of changes these benefits. Anyone who has a visa infinite card actually has the same benefits which are mentioned right here for example the concierge, the music service and wine wonders so these benefits. So the main difference between this card and the American Express Gold Scotiabank card is the 5% category the American Express has for some items 5% but this card is 4%. Looks like to me that the Scotiabank Gold American Express is a better option to have rather than the Scotiabank Visa Infinite card but I believe they are trying to increase the benefits on the Scotiabank Momentum card due to the fact that some people do not want to have any American Express Great Card so they can go with the new Scotiabank Momentum Visa Infinite Great Card if these changes make sense. For example if you are okay with the 4% which is still a very high return on grocery and bill payments and 2% on gas then this is a card for you but this card is still charging a foreign currency transaction fee and it doesn't provide any launch benefits or anything but in terms of insurance the insurance looks like they are good insurances and so Scotiabank is trying to capture those who are looking for a cashback credit card but they still would like to have travel benefits accesses so this is kind of a travel cashback credit card. And the other thing is that the annual fees going up as well are $20 and $50. So overall comparison definitely Scotiabank Gold American Express is a better card in every way except that you know it is American Express network card so it may not be accepted everywhere but Scotiabank Momentum is a Visa card so it has more acceptance than American Express. So that's all I wanted to talk about today. If you like what you see please give it a thumbs up and subscribe if you do not like the video definitely you can also like and you can leave a comment and if you like you can also leave a comment. So don't forget to subscribe because there will be a lot more videos coming up so I'll see you shortly. Thank you.


Hi, I'm Zor. Welcome to Unisor Education. This lecture is part of the Advanced Mathematics course for high school students, which presented on website unisor.com. That's where I suggest you to watch this lecture from, because the site contains not only the video part, but also some notes. And in this case, notes are important because there are a lot of calculations here, which I will try to do without any errors. On the board, and you can definitely review it all in the notes. So this is about the volume of the pyramid. Now, the volume of the pyramid can be approached in many different cases. Unfortunately, none of these cases can be 100% rigors on the level of high school. However, I have made all the preparations for this lecture to be relatively rigorous, as much as possible. And the preparations were related to three-dimensional similarity concepts. And also there was a lecture in that particular topic related to two-dimensional area calculation as a limit. The calculation of the area of triangle, actually, as a limit. Because right now we are going to approach the volume of the pyramid in exactly the same fashion as I did for area of the triangle, as a limit of some other more elementary objects, which we can approximate our complex object, which is a pyramid. Now, pyramid is a complex object versus prism, which is a more elementary object. So the right prism is something which we have already studied before, and we know the volume of the right prism. So my idea is to explain how the volume of the pyramid can be approximated with some of the volumes of little prisms, which are basically combined together, make a shape close to pyramid. And the smaller the height of these prisms, the better the approximation is. So that's the whole approach. So let me just go on this particular road, and I'll try to explain the details. So, first of all, let's consider we have a triangular pyramid, and the base lies in some kind of a plane beta. Now, I will drop the perpendicular from the apex S down to the plane beta. Let's say it's point H. And now what I'm going to do is I will build an object which contains small prisms, one on the top of another, stacked one on the top of another, which together approximate the shape of this particular pyramid. Now, how can I do it? Well, let's divide SH, which is the height, into n equal parts, where n is some number. And the greater this number is, the more precise my approximation will be. And now, so let's say these are division points. So somewhere I will use H lowercase n as an index. Now, at each point of division, I draw a plane parallel to beta, which basically intersects my pyramid at triangle An, Bn, and Cn. So, at each division point, Hn from H1, which is here, to Hn minus 1, and then H itself can be treated as Hn with capital N. So I draw a plane and the plane intersects our pyramid at these points.  Now, how can I build a prism? Now, the prism I will build based on this triangle An, Bn, and Cn, I will build the right prism, so I will go with the perpendicular here, and that will be my prism. Now, the height would be exactly to the next plane, to beta n minus 1. If this is beta n, that would be beta n minus 1. In between these two planes, I build a right prism with bottom base at points An, B, and Cn. Now, if I will do it at every level, my pyramid would be kind of converted into some kind of a stack of the prisms which make steps like Egyptian pyramid, for instance, or pyramids in Mexico, for instance. They have these steps, right? So I will approximate the volume of the pyramid as the sum of the volume of these prisms, and then if I will use the larger and larger N, which makes actually taking the limit as capital N goes to infinity, my sum of the volumes of these prisms will be the approximation of the volume of the pyramid. So, let's take a look at this particular prism, which is number N. What is its height and what is its base? Because that's all we need to calculate the volume of the prism. As we know, it's just multiplication of area of the base times the height. All right, the height is easy because it's the distance between these two planes, and these two planes are in the distance which is equal to H divided by capital N, right? Since I have divided the very beginning into N equal parts, this perpendicular. And it's obviously perpendicular to every plane because they're all parallel among themselves. So that's the height. How about the base? How about this triangle? Well, first of all, let me point out that this triangle, A and B and C and N, is similar to A, B, C, and the similarity, it's a 3G similarity, with a center of this particular scaling at point S at the apex of the pyramid. And the scaling factor is basically the scaling factor between SH and divided by SH, which is N divided by capital N. Because there are N small segments up to the plane called beta Ns, and there are capital N, these segments, to the beta. So SHN relates to SH as lowercase N to uppercase N. Now, obviously, the same scaling factor exists with SA and over SA. Why? Because triangles S, A, N, H, N, and SAH, these two triangles, are obviously similar in two-dimensional sense. Because these planes are parallel, so the plane SAH cuts two parallel lines. So these are parallel, obviously. And since they are parallel, then all the angles are equal. So obviously, they are similar. And since they are similar, the same proportionality between SHN and SH exists between SA, N, and SA. And the same as SBN and SCN, etc. So all these sides of these triangles are all proportional. And this is the coefficient of proportionality. Now, if you remember from the similarity lecture, if you have two flat figures, flat objects, which are similar to each other, and there is a scaling factor. Now, the area of these two flat objects is related as F squared, where F is a scaling factor. So all linear dimensions are scaled by the factor of F. But all area dimensions, like area of a triangle in this particular case, are related as F squared. So the area of triangle A, N, B, N, C, N divided by the area of triangle ABC as N squared over capital N squared. Because this is the factor, and this is the factor squared. So that's basically enough for us to determine the area of A, N, B, N, C, which is the base of the Nth prism. So let me just put here that the area of triangle ABC is lowercase S. Then I can say that the area of triangle A, N, B, N, C, N is equal to S times this factor. So I know the area of the base of this prism, and I know the height of this prism. So I know the value. So the volume of Nth prism is equal to product of area of the base, which is S N squared over N squared times H over N. Now, this is prism number N. Let me just put it slightly different. Why? Because S and H and capital N are constants in my case, and lowercase N is an index. Because what I have to do right now, I have to summarize. That would give me the expression for the sum of this summarized volume of the stacked prisms. And then, if I will have a formula for this, I can use some limit theory, put N to infinity, and that would give me the formula for my pyramid. So let's find out what this actually is, if I will summarize this. Well, obviously, constant can be moved out, and here I will have 1 plus 2 squared plus 3 squared plus etc. plus N squared. That's what I have to calculate. Now, this is algebra now. It's not geometry, so I don't really need this. So let me go to the algebraic aspect of this. How can I calculate this sum? Well, there is an easy way. You can just find out the formula. And if you want to prove it, you can prove it by induction, which is very, very easy. Now, if you don't know the formula, which I obviously don't remember, I will try to derive it, but I do know the methodology. Here is the methodology. Let's go and put 1 cubed plus 2 cubed plus etc. plus N cubed.  Now, this is my sigma N squared from 1 to N. This is sigma of N plus 1 cubed.  Now, why did I do it? Here is why. Let me open it up.  I will not use from 1 to N, it's obvious. Plus 3 sigma N squared plus 3 sigma N plus N actually, right?  Let me put it this way. Now, why did I do this? Well, I did it for a very, very simple reason. Because now, you see, this can be reduced. And I have basically an equation for this thing. So it's 0 equals 3 sigma N squared plus 3 sigma N actually, we know what it is. I did it when I was calculating the area of a triangle. It's sum of arithmetic progression from 1 to N and obviously it's N times N plus 1 divided by 2.  So now we have equation for this guy. And we can determine this sum of N squared and this is basically the formula. So I can just simplify it as much as possible. So let me multiply everything by 2.    Which is N plus 1.  So that's 6 sigma. So 1 sigma of N squared from 1 to N equals to N N plus 1 2 N plus 1 divided by 6. That's my final formula for sum of the squares of the integer numbers from 1 to N. And I can use it here. So this equals to SH divided by N cubed times N N plus 1. Sorry, it was 2 N, 2 N cubed. My mistake. 2 N cubed. Is that right? No, this is 1, but I lost 2 somewhere. SH divided by N. Okay, let me finish this divided by 6. I don't know, everything is fine. I don't know, everything is fine. Right. Because this goes to square, right? So it's equal to... Let me multiply this. SH divided by N squared divided by 6.  That's my formula. Equals. Alright. So it's SH. I will divide by N squared 1 by 1 divided by 6. 2 N squared, this will be 2. 3 N plus 3 divided by N. This is N, this is N squared and 1 over N squared. That's it. Now I'm ready to increase N to infinity. What happens with this formula? Well, obviously these two members will disappear and I will have only this one. So my total volume would be SH divided by 3. And this is the final formula for volume of the pyramid. We kind of assumed that this particular process of constructing this step-like figure is approximating my pyramid and the volume approximately is equal to the volume of the pyramid. And as this capital N goes to infinity, it's kind of intuitively obvious, although it's not rigorously proven, that the volume of this figure would go to the volume of the pyramid. So there are certain assumptions which I allowed myself just to relate to your intuitive feelings without actually proof, and this is one of those. In any case, this assumption seems to be reasonable and in higher levels of mathematics, this assumption is actually proven that this is really true. I just don't want to spend right now much time because, again, my purpose was not to derive the formula per se, but to explain the direction, the methodology, how this formula can be derived. So you basically approximate a complex figure with something simpler which you already know how to deal with, in this case, prisms. So I would suggest you to go again through the notes of this lecture. Again, it's very educational, I believe, and what's important is, if you can, try to do whatever I just did yourself, just on a piece of paper. Try to derive whatever the formula is because there is nothing which I'm using here in this particular lecture which I had to remember something. Well, maybe accept formula for rhythmic progression. But anyway, it's just, again, the methodology is important and I do encourage you to try to go through all these calculations and to get similar results. That would be a very good exercise. Well, other than that, that's it for today. Thank you very much and good luck.


What is Diaz Amigos? Good morning fishing freaks. How are we doing? Back at it again with LFD, baby. Coming off a strong trip of catching over a hundred bass. I think we caught about a hundred and twenty on the last video. So, time to get that chesty on y'all. Let's go get them. Let's go get them. Dad's really pumped up. That's right. Super excited. This might be the day. This is it. Just might be. That's it right there. Whoo! Alright, Diaz. I'm going to start out with that scrumptious pop water. This is always the most exciting time fishing. Early morning here. The beautiful mountains. Taste the excellence. What do you got me on here? I don't think you're still on here. Nope. There you go. There you go. I think I'm gonna switch up. Tells me something though. First one of the day. Coming on the plastic. Spit it. Sounds like a parrot there on the call. Waka. What was it? Waka. Waka? Maybe? Nope. No Maka? Waka man. Waka man. Waka man. That's my call. That one headed a little bit deeper. I think these fish are real close to the bank right here, these animals. It's not really what we're going for, but... We're going to switch it up right here. Fishing like straight rock ledge. Oh man. We can hook it. So I'm under the impression here that these fish are liking to spawn on these ledges. They're backs protected. And they just feel safe. He's got it. That's got to be a spawn fish. Just picking it up. I'm just trying to take this one ounce jig and just work it down like a stair step. Dad's taking a crank bait. He's trying to parallel the bank.  They'll bite it on the fall. That's to pay attention to your line. They may pick it up while the jig's falling. I won't even feel it. Oh, it came off. That was a big one. It's about an eight pounder. How's it going? How's it going? It's good. I actually got to see that one. Seed net, good one. There were two more with it. Ah, bien. Yeah, I think so. It's a nice fish. Six pounder, two more with it. Oh man. Yes. Yes. Look at those fish. Nice fish right there. Jig fishing. Just kind of running up the river. We were running up here and I said, hey, let's stop right here. I like this wind. We haven't had wind all day. I just flipped into a bush. Two more with it. Wind is a big deal out here. Since there was two more with that fish some more bass in here in these trees. That's really key. That angle. We're sitting in 34 right here.  I had that one really big one this morning. I think it was eight plus. Just on a straight up ledge. It was next to a tree. This is more just fishing. Windy bank. Get another one. Yeah, you got me hung up though. No wind. Little one. Right where you're supposed to be though. You're even butting my favorite thing here. This is a watermelon candy jig right here guys. I'm putting a chartreuse pepper rage-crawl in there. That seems to be the deal. That's what everybody talks about. Down here it kind of resembles a tilapia I guess. But I really like that chartreuse. It really just looks like I'm throwing to the bank here guys. Let me just kind of try and always do a terrible job of this. I'm really having to focus doing this trolling motor and concentrate where my jig's at. Boat control on this. The aluminum boat's pretty tough in this wind. But I want to try to do a better job of explaining things to you guys. What we're doing here is I'm throwing this jig. I can't really cast it too far. I'm just throwing it about 20 to 25 feet in front of the boat. And I'm working it through the trees. One of the guys here at the lodge asked me last night. He said, how do you work that jig? What do you do with it? Use saltwater fishermen and never fish it before. And there's really no need to sit there and really bob it up and down in the tree. You're pretty much just going to get bit as soon as it gets down there. And I just like to bump it once or twice. Make contact with cover and then keep moving. In this situation I've got trees out of the water so I'm going to throw it directly in there. I want it to fall on a slack line so it goes directly down the tree base. Bump it a couple of times and then reel it in. But there's a lot of trees I can't see. So in that case I just toss it out there and I'm dragging it over it. I try to get it to the top. Pause, let my rod tip drop and let the jig fall right in the middle. A couple of times and then move until I feel the next tree. And I can do that with braid. The 65 pound braid I can feel everything. So this is a heavy heavy combo so I'm working it with two hands so I don't wear out my wrists. But we had a good thing going right there with the wind and then the wind just flattened out. So we're going to move on up the river and see if we can catch some more fish. I like the brush around the bank areas with that steep slope with just that wind man. As soon as you can dive. Done. Little guy out here deeper nuts. Not where he's supposed to be. Come on man. Let's go out there. Let's go out there. See? There's a big fish here. Let's smell them. Oh there's a big one. There's a big one. Yup. Big as I thought. Oh God dang it. Oh well. See? Teguista. Yes it was. Throwing the old disco colored swimmer here. We just on the way in I was looking and I was like you know what? That just freaking looks good. Let's stop there. Wind's blowing on it hard. I said I gotta get me some of that. I could smell a big one. Literally. Yeah I just got really hammered right there. There's a little better one. A little better fish. This is a four-ot hook right here. Actually I think it's a five quarter ounce weight. These things work really good in grass lakes. It's so clear for these spinner baits. Although I think spinner baits were good right here just because of the mud line that we've stirred up. Or the wind's stirred up but this little deal just looks tremendous in the water. Yeah. Skinny. Oh my gosh. Muy fuerte. Muy fuerte si. Si. Big old head on it. Skinny. Flaco. Nice fish. La grande pero esta flaco. Si. Debe de tener de pesar ocho libras. Si. Ocho es gordo. Si. He said it'd be an eight pounder if it wasn't skinny. Instead it's like six but bow. Nice fish. Alrighty guys. We have managed to put together a few toads here. Trying to go after that big one and what I know is a lot of these fish are in that 10 plus 12 plus foot zone. These windy banks are good.  Water's clear. Any time you've got clear water the wind is going to help you. Same thing with the cloud cover and right now we've just kind of got like a haze. Good shot. I got one out of the top. Should be a big one down on the bottom. The sun sets these mountains. This amazingness. Cool. I hope you guys can see it all the way out there. A really cool place to fish. It is time to take it into La Casa. We're going to go grab some nachos and we're going to give some thoughts about the end of the day here. The whole day really. Tasty looking area. Alrighty fish breaks. Today was really a tough fishing day. It was like very calm in the middle of the day. There was a big bag and then the wind started picking up in the afternoon and that definitely helped. The thing that kind of set the tone for me was having that really really big fish, losing that big fish early. That was like a bang. That right there I'll be able to get a big bite. And then it just got super calm. Now I could fish that in the wind. Going up to some of those trees. If I found a good tree I would just kind of bop it in the ledges as well. That's where those fish are holding but I gotta tell you what this thing kicked in on this afternoon. I'm definitely going to be building off of this later so I really wanted to show you this. Throwing this on a 7.5 actually a 7.4 medium heavy. Big sexy and this is a flashy swimmer, owner of a flashy swimmer right here. 25 pound test Sunline Shooter. Really good fluorocarbon on there. That's just a little swim bait. I think that's a skinny dipper. That's going to be really good where I would throw a spinnerbait since the water is so clear right now I'm throwing this. And I hope this helps you guys because this right here is a great alternative to throwing a spinnerbait in really clear water. I noticed some small bait fish swimming kind of close to the surface that were about that long. Had the very similar profile.  That's where I got those bigger fish. So I'm going to be throwing this a lot more tomorrow. That was basically it. That was the pattern. This is now time to send out Fish & Freaks. Thank you for being here today and I certainly hope you learned something in state tune because we still got to get dead and get dead. That big one. I think I'm going to let him have a lot more spots. I'm just really trying to help him out this afternoon and let him have some areas and kind of figure out some things really help him out because I wanted to catch that big bass. I want to catch one really one like that to catch the pd and catch the big one on a fly. So stay tuned for more action. See you on the next.


Fasting is emphasized not only for the month of Ramadhan, but also in the month of Rajab and Shaaban. I'm not asking you to fast for three months. You know, if you want to do that, Alhamdulillah, and remember me in your prayers. Actually that is recommended. But what I'm saying is that remember fasting is not for Ramadhan only. One hadith from Imam Ali ibn Musurud, alaihi salatu wa salam, where he says, Whoever fasts during the first day of Rajab, seeking the blessings of Allah SWT, Allah will give him admission into Jannah. Then he says, And if a person fasts only one day in the middle of the month, then he actually will be able to be the intercessor for so many people, equal to the tribe of Rabi and Muzar, which were big tribes. It means it's not only that you get the tawab, you will be able to then bring others also into that fold. And whoever fasts in the last days of the month of Rajab, He will become among the leaders in Jannah. And Allah will accept the intercession from him on behalf of his father and mother, and on behalf of his son and daughter, and even on behalf of the uncles and the aunts, and those whom he knows. Of course, the husband of the wife I included in there, don't worry about it. Even if they are people who are deserving of the punishment, because of his Shafa'at, Allah SWT will forgive them. And this is where we see the importance of fasting during the beginning and the middle and the end of the month of Rajab from Imam Raza, In some other Ahadiths we have that if you fast for the first seven days, first week of Rajab, seven gates of hell will be closed for him. And if you fast for first eight days of Rajab, eight gates of paradise will be open for him. And if you end up fasting the first 15 days, Allah will grant his wish for him. Especially among these days of Rajab, 27th of Rajab is very important. It is the beginning of the revelation of the Quran. It is also by the majority version of history, the time when Rasulullah went to the Mi'raj. And so we have a statement from Imam Ja'far Al-Sadiq, Allah SWT. He says, Do not neglect the 27th day of the fasting of this 27th day of Rajab. Because that is the day when the Nubu was started, the revelation basically came back down on the Prophet. And the Salaf of that reward of fasting that one day on 27th of Rajab is equal in reward to 60 months. It doesn't take care of your missed fasting. That's still on you. But this is the number of reward and Fawam which is given for that one day. And so this is where we have to just remember this issue and try to maximize, let us try to maximize whatever we can. And especially when we talk about this fasting during the month of Rajab, remember according to the Fiqh-e-Rulz, if you have missed wajib fasting in the past, so you had to do Qawwa, then remember you cannot do Sunnat fasting, you cannot do the recommended fasting with that Niyat. So what you had to do is, even if you are doing it because Rajab is the month of spirituality, that is the motivation you have, and then you say, okay, I have so many fasts which are not done in the past, you can do it with the Niyat of Qawwa. Not only you can, you can actually do it with the Niyat of Qawwa. But when it comes to reward, Allah SWT will reward you for your Qawwa as well as because you are doing it in the month of Rajab. Especially the prayers, prayers for those who are close to you, your friends, besides the family of course, your community and the society in general.


Welcome to our hands-up date, here's what's happening around your Navy. The Navy announced several changes to the projected Latoral Combat Ship class over the next five years. The changes will simplify manning, stabilize testing, and increase overseas deployment availability. Phase 1 will begin this fall, transitioning to a blue and gold rotating crew, similar to those found on ballistic missile submarines. Sea Bees from Naval Mobile Construction Battalion 4 participated in joint construction operations in support of CARAT 2016. They built a schoolhouse for local students while building friendships and strengthening partnerships. Navy's from 16 nations come together to participate in KAKADU 2016 in Darwin, Australia. The multinational exercise focuses on humanitarian assistance, search and rescue operations, and maritime warfare scenarios. You can read more about what's happening around your Navy at Navy.mil.