Wheaties presents Dimension X and ventures in time and space transcribed in future tense. On stage tonight Dimension X another in the Wheaties big parade of exciting half-hour presentations. I'm thinking of a girl very pleasant person very attractive too. She has cool hands a nice voice and a gentle manner. She's crisp and efficient but she needs help badly. She's the American nurse and her problem is this. There just aren't enough like her to go around. Not enough nurses for the hundreds of important nursing careers now open in hospitals industry research the armed forces and private duty. Now you may not know the girl I mentioned but perhaps you know someone very much like her a young girl with at least a high school diploma of good health and character. If you do tell her this America needs 50,000 student nurses this year. Tell her you think she might be one of them. If she agrees have her stop in at the hospital nearest to her. She'll never regret it and neither will you. Now tonight's adventure into the world of the unknown. The world of Dimension X. Dollshop stood on a quiet Washington side street not too far from the sprawling Pentagon building. A woman and a child waited outside. The little girl peering eagerly through the window at the dolls inside and the woman glancing impatiently at her wrist watch as if expecting someone who is late for an appointment. And there was nothing about the doll shop to warn them that they were waiting to keep an appointment with do. Yes what is it. In the window of the shop the tiny dolls. Oh mommy do you think daddy will buy me one. Well we'll ask him when he comes dude. He said three o'clock on this call. I see him mommy there he is. Henry here we are. Hi. Sorry I'm late. Well we've been waiting for you since he's been done. I'm afraid I'll have to call off the shopping Elmer. Oh Henry we promise. I know I'm sorry it's just one of those things. You've been the wife of an army colonel long enough to know his life is in his own. What is it this time. Oh it's a more of a flying sphere nonsense. The pilot says he's cited it last month crashed and was killed a day so the general wants a full report. Dear what do you have a staff meeting at the Pentagon. Daddy look in this window. I haven't timed here just for a minute daddy please. Cindy I haven't time to stop and watch a bunch of six inch dolls parading around the shop. Here we are lifelike. Look at that Elmer. Dolls are marching around like a regular review. They've even got their own little band. Henry your staff meeting. Oh yeah yeah yes I've got to run. Now look don't go spending a lot of money on that nonsense. No dear. My dear. Bye Cindy. Bye daddy. Look the band's going to play. Aren't they wonderful honey. You know it's funny I must stood on this corner a thousand times and I've never even noticed this shop before. Good evening children. Good evening. He talks off. Would you like to step inside the shop of Santor Perigee. Yes we would this way. Here in the shop of Santor Perigee creator of Perigee's universal wonderful dolls. The world of adult reality is blended with the world of child's fantasy. This is a new shop isn't it Mr. Perigee. What is new and what is old come this way. Would you like to meet one of my little one. Oh yes. This one in the red jacket is total speak little one. I think it's absolutely amazing. That is nothing for Perigee's wonderful dolls. Listen a sing total sing for the little girl. Sing total Mr. Perigee. How do they work. That is the secret of the great Perigee greatest of all Dal masters to make an ordinary doll is nothing to make a perfect replica that is something but to make a doll with intelligence that is the work of an artist. Well yes they must be very expensive when I construct a doll like total I cannot bear to be parted from impermanently. So instead of selling I rent my little people you rent dog precisely ten dollars. I have but one request when you grow tired of my dolls you must be in good condition. Mommy could we take him home. He's bowing and dancing. Oh mommy he wants to come. Please I'll take such good care of it please. Well honey we'll have to deal with your father later but well all right wrap him up Mr. Perigee. Oh dear I have a feeling when your father comes home we'll be sorry. You're gonna sleep right here next to my pillow. Total don't laugh like that. I'm gonna have to teach you some manners. You'll be quiet because my daddy will be home soon and he's a Colonel in the Army and he'll bust you to private if you don't behave. You wait here I'm going to introduce you to my puppy dog Mr. Blister to be good now. Total. Oh dear I'm over here in shake hands with total Mr. Come on now. Mr. Blister tried to bite my dog. Look how frightened Total is. Dogs don't get frightened Cindy. But he is mommy he screams. You just imagined it honey. But he did he did. Well Mr. Blister didn't mean it you know he's the gentlest little pup alive.  Cindy you've hurt his feelings. He tried to bite my new dog and I don't ever want to see him again ever.  I'll kill him. Why Cindy where did you where did you hear a thing like that. Total said it. I see well you've had an exciting day honey brush your teeth now and go to bed. Daddy's coming home late so we'll see you in the morning. Good night darling. Sleep well.  Breakfast ready. Horrible boar as usual. Where's the little one. Oh sir remind me to take some papers back to the war department will you. I left them in my strong box. Henry. You told me it was against regulations to bring secret papers home. Well I had to finish some work for the old man. Nobody will have another difference. Well I suppose not. Copy before we sit down his bow under the thing. Where is he. That's funny. There's a supper from last night only half eaten. Getting fussy. Blister. Blister. Blister. Where the dickens is that mutt. Maybe. Here Blister. Here Blit. Alma. What is it dear. Look. Is he dead. But what happened. From the looks of it he might have been poisoned. Poisoned. Who on earth would do a thing like that to an innocent little pop. I don't know. Let's see his dish. Henry. I don't understand this at all. Say what's this. What's what. Look there are pieces of broken glass in his food blue glass. Henry. Well I just remembered something. It may just be coincidence but in the bathroom this morning. What about the bath. Glass you know the one with the Mickey Mouse on it. It was broken Henry. I found pieces in the wastebasket. I meant to ask her about it. Well I'm of the heaven's sake you aren't suggesting that our little girl why she loved Blister more than anyone. Not last night she didn't. Why not. Well he he he went after Toto. Who's Toto. I knew Dahl. You bought one of those dolls. I just rented it rented it. Yes. Look how am I. No. All right what's this got to do with blister. He went for the doll and Cindy. Well Cindy said.   Good heavens a nine year old child putting ground glass and dog food. You'd have to be a monster. I don't say anything I'll talk to her. Good morning dear. Good morning daddy. Hello. What's the matter. Nothing Cindy sit down dear.  No I didn't break it. Now Cindy. I didn't. Now somebody broke it. It wasn't your mother and it wasn't me. Well then it must have been Toto. Cindy Cindy. You know Toto was only a doll. Now a doll couldn't have broken your glass could he. Well he must have done it daddy Cindy.   No daddy. I'd hate to think you'd done something you knew was wrong and you were blaming it on a doll. What's the matter with Mr. Blister. Is he sick. He's dead Cindy. Oh no. He can't be dead. He isn't dead daddy. No he isn't he isn't. Mommy. Yes dear. But he'll come back. He has to come back. No he won't come back honey. No Cindy not ever. Now that we've told you Cindy. You want to change your mind about the glass. Daddy. You think I cute. See what you've done. The child feels guilty. This is no time for feelings to interfere. When they come they just come.  I don't want to. We'll be right up. Please. That's a good girl. Close the kitchen door behind you. The mansion acts will continue in just a moment. You know friends breakfast of champions is a whole lot more than a phrase written across a package of wheat. There's one thing I could tell you. I could tell you that it means champions in the world of sports eat wheat and it's so true you bet it is. But I've got a better idea when I think you'll like. I think perhaps you'd rather get the story from a champion himself. So here is a champion. Will you introduce him. Now young man will you tell us what you do for a living. I pitch you what pitch pitch you know baseball you have a baseball team to have to have a picture I'm a pitcher I pitch oh yes I see and are you on a team. Yes sir I want to clean the Indian Cleveland Indians. What is your name young man. I'm Bob Feller and you know it as well as I do it sure I do Bob it's good to see it. This makes your 14th season playing with the Indians doesn't it. You have had 14 years. Well tell me Bob how long you've been eating. All about 20 years give or take a couple. You mean you started eating wheat before you started playing ball. Of course it's strange about that. Most people start eating wheat before they get the playing ball. In fact most people never start playing baseball. You don't have to be a ball player or enjoy the lift you get from Whitties with milk and fruit. You're right as rain Bob. No champ ever said a true word about Whitties breakfast of champion. Eat your supper dear. I'm not hungry. Cindy is scarcely touched your lunch. I don't feel like eating. Is it Mr. Blister. Cindy answer your mother Henry should work it out in her own way dear. I don't know when I was a boy there was such a thing as discipline where this child is being brought up. Well it's true there's no respect lying. I don't know what's happened to us. We were a nice peaceful happy family until you bought that cursed doll. Now who's blaming things on the doll. It's true. You wanted to get some papers from your strong box. Oh yes excuse me. You try to eat something Cindy now darling. Alma Alma. Yes what is it. Alma what's gone. The box the strong box is gone. The door to your study is always locked and you and I have the only key. I know all that and I tell you what isn't there. Who would I don't know Alma. Those confidential reports if they ever get into the wrong hands. I warned you about keeping them here. What a bit of a came out in the open. Can't you see the papers army colonel derelict in duty. Call the police Henry what and throw my career in the waste basket up to 17 years. We've got to find it ourselves there was there when I went into clean this morning. What about your key. Well it's right here I always keep it right with me. That's funny. My other keys are all in the room. You've lost it. I don't see how. How could you do it. Henry please. Come on we'll search the house I can't think of anything else to do. You're going to miss your staff meeting. All right never mind the meeting my whole career goes up and smoke if we don't find those reports. Somebody get hold of your key and open that room. I know Cindy let the child alone she's been through enough you know she wouldn't do a thing like that I don't know anything anymore I don't know my own child I don't even know you. All I know is that strong box is gone with papers that are dynamite of the wrong person gets them. Question being who. What's that coming from upstairs was that blasted doll again something must have set it off I don't know how the mechanism works for heaven's sake let's go up and shut it off right. But since we've got this thing was look where it was.   Cindy you're not telling me the truth yes I am daddy all I'm asking is that you tell me the truth now where is it. I didn't take it very honest I didn't take it. I suppose you're going to tell me now that a little six inch doll took my strong box and hit it. Well. Cindy I'm speaking to you didn't take it to you don't understand. He's terrible awful he says things he says he's going to kill everybody. Cindy you're inventing things true at night when I'm sleeping he stands next to my pillow and whispers things to me awful things he told me he'd kill me too if I told you. Alma I think this child is sick I think she needs a doctor.  Mommy you'll stay with you. I'm afraid he's up there. Cindy. Toto. Well he won't be up there for long. Mr. Toto was going right back to Perigee's wonderful doll shop before I lose my sanity which means right now. Grace and welcome to the home of Perigee's wonderful doll. Are you Perigee. Santa Perigee creator of the universal doll. The doll with the mind the doll. Yes well I'm returning one of your master pieces. If you will step into the rear of my shop. Now what is the complaint there's no complaint. Here's your doll.  We will change all that later on return to your comrades in the window little one. And now Colonel Grayson. I think we have no further business sir. But we do Colonel let me see. Here it is. Do you recognize this Colonel. That's my strong box. My little Toto is very clever sir.  Let us not say stole. I'm merely keeping it in custody. What's your game Perigee.    Perigee you know what this guy is talking about the man is demented obviously that's not true I tell you there's a plot to control the earth I've got to call the water department they want to know about the flying sphere holy Michael this gets worse every minute Ryan take him to headquarter save some time take him down a psycho okay all right but I just come along nice and quiet no don't you see he's nothing but a man sized doll I'm sure the little ones are gonna take over the earth and you're gonna wait and cut out some nice paper doll please listen to me you've got to listen to me you've got to sorry I had all this trouble mr. Perigee poor chap is obviously suffering from delusion well he's not the only one in Washington today you know we've been getting a whole string of crack-ups lately big wigs blowing their tops under pressure if you could see some of the names in our confidential files you keep confidential files on cases like this certainly believe me they'd be dynamite if they ever got in the wrong hands well I better be running is that a talking down yes sergeant well I'll be hey my little girl would be nuts for that so then please accept the doll for saving my life that madman might have killed me yes but I got a home with you as a gift well now I don't know mr. Perigee it's against regulations for us to accept favors but this is not for you it is for your little daughter and if you will only take the doll and give him a good home you will be doing me a great favor well and if you insist and and thanks very much when my kid sees this will she be surprised yes total will come as a great surprise a very great surprise a total night the mansion acts has transcribed Perigee's wonderful dolls an original radio drama written by George Lefford's last name and appeared as Colonel Grayson and John Alexander is Alma with Nines Alexander as Cindy Joe DeSantis played Santa Perigee and Leon Janty was total the talking doll engineer Bill Chambers your narrator was Norman Rose music by Albert Berman dimension axis produced by Van Woodward and directed by Edward King in a moment we'll tell you about next week's show and now here is your Wheaties man Frank Martin look at your Wheaties in a cereal bowl and well they look pretty innocent don't they they're crisp all right and golden brown and you know they've got that wonderful Wheaties nut like taste but where does all that energy come from what is it about Wheaties that give you all those vitamins and minerals and protein I'll tell you what it is there's a whole kernel of wheat in every Wheaties flake not just a portion of a kernel mind you but a whole kernel of wheat now that begins to explain things doesn't tell you why Wheaties energy helps you feel good all morning long like I keep saying no wonder they're America's favorite whole wheat flakes breakfast of champions and all that now you know why Wheaties at seven can help at eleven Wheaties next week the strange story of a curse that came true it's the story of the castaways another adventure into the unknown world of tomorrow the world of and this the Wheaties man Frank Martin inviting you to listen Saturday that's tomorrow night to Joel McCrae in Tales of the Texas Rangers on the Wheaties big parade see you then


think tech away civil engagement lives here it is Thursday afternoon folks just afternoon as a matter of fact Ted Rawson here in our studio downtown Honolulu momentarily transpose to Waimanawa Bay for our show where the drone leads bring into our public and to others information about this emerging role and capability and technology that we all call drones or unmanned systems we're all kind of getting back together after the several recent hurricanes here and we thank very much George Purdy from the State Fire Department at the Lanai Airport on Lanai for joining us once again George thanks for coming on board and how things look on Lanai after a couple of days of pasting by by the by Olivia oh it's a beautiful day here on the night nice blue skies and well prepared okay so that was prepared and then we actually got kind of a light touch from miss Olivia as she went by she certainly didn't do quite what we expected on a wahoo so that was all good for all of us but we're expecting on a program Charles Warner of the National Council of unmanned air systems or drones in public safety but Charles on the east coast in Virginia is out assisting with hurricane Florence right now so he won't be joining us on the show and also John Johnson will get him on in probably four weeks John is one of our top creative artists using drones and what I really wanted to do George was with you and John was fused together the thinking between public safety use of drones disaster response use of drones which tend to be not artistic or or expressive in a way and just see how working with the the expressive side of the house such as what John Johnson is at the top of that profession how that might influence each other inform each other or improve the total operation certainly telling a story is an important factor whether it's in commercial art or in disaster operations but short of that again with the situation we have now what we want to do today is focus on something that came out of our conversation a couple of weeks ago when you were on the show we had the FAA on we had commercial helicopters Eric Lincoln on and we were talking about sharing the airspace and how we're all going to work this through the FAA standards with the other users of the airspace but but beyond that we have you introduced to us something that was quite unique and that was to what you've done online with the fire department is use the authorizations and authority you have presently provided to you through the state fire department design and if you've used that without changing it but you brought UAS into it in a controlled and responsible fashion and it will just talk a little bit more about that because I believe that's the essence of a talk you have to give in Alaska in two weeks and I think it's also something that Charles Warner would very much look upon to receive as for him to use as he's thinking about this situation in the National Council for Unmanned Air Systems and Public Safety so tell us in a little more detail George how you got that idea how you started and where it's going as a practice today on the island of Linaille. Well for me I was just looking at all our airport procedures and how do we look at our outside resources that come help when we have a plane crash so I took all those elements and looked at our MOUs on how we interact and work with each other so I looked at the point from taking some wildland firefighting fundamentals some of our aircraft rescue fundamentals and then looking at what the FAA has basically with all our foundations there was a line that was drawn of how we actually work together so I looked at it thought about it and then just the wording in general I talked to my fixed base operator here could you put in a nodem for me and he said yes I could so when we put it in we wrote it that we the fire department are asking for the UAS airspace from the airport center point four miles out that'll encompass our town the electric infrastructure harbor infrastructure and highways so our airport fits within five miles encompasses the whole island all the infrastructures that was needed so when I showed up to the incident for the emergency operations center I had this airport now that we can help provide the community and other first responders the communication and organization of all our local part one of seven operators and hobbyists I created two levels one and two that way I it's basically in the sense that I open up my house I open my door and I'm inviting you in it's not where you're gonna come into my house and barge in so through invitation RSVP you come we inspect you we get to know you we check your equipment we go through the whole protocols of flying the experience type I could also use them in helping me within my say office in paperwork getting them involved getting them to understand the overall picture on how we as emergency resources resource management manage the whole situation and educate there from within so you took a plan that existed which is the Lonay Airport plan that deals with the community around it within that four or five mile radius and that plan pre-existed pre-existed UAS pre-existed a lot of things but it caused and it defined a means of interaction between the various agencies that are responsible and so you took the implied responsibility in that interaction and you found that that justified and authorized to a certain extent the additional technology brought forward by UAS so you're not causing anybody to change any protocols you're simply writing on the protocols that exist and bringing this new technology in in a controlled way with a managed way and a graduated functionality way the more capable people are the higher level they can perform in that group if they're not at that level of experience they step back and operate a lower level but you've added this in a structured way UAS operations to an existing protocol and didn't have to generate any new protocols to make this all happen that's what I'm hearing you say is that a fair summary that's it as a fair summary it's all there at times you know sometimes we a lot of higher management over things it and just because the public screams wolf we should not take that as that is the end of all end of all things we should look at what's in our basic response plans and the use that as our foundation and figure out how the community works and what helps is that we come from the same community and the thing is every location we have members that live in these communities that can go home and educate their communities so actually using this thing two ways you're using it to provide a means and a method by which new technologies such as UAS can come into the picture you're also using it as a reverse flow to get information out to the community about how the coordinated joint operating system works in disaster response that's exactly right oh we may have lost George's picture here there we go I'm back yeah okay so you could actually think of this as a model for additional technology to be added for example underwater unmanned systems we saw one that Micah modus and kind of a gymnast from Colea Gold were demonstrating to the Coast Guard last week these are now available you know for a couple thousand bucks you can get the hundred foot tether underwater robotic system for so for the harbor and seco series inspecting issues like pilings of bridges or or piers anything underwater that might have be a has has met situation or something some issue going on that's available as well so you could even think of bringing the underwater folks in to the game at some point in time in the future following all the I wouldn't call them protocols but all the understandings you generated that sit on top of that one pre-existing protocol yeah I mean all our departments we only can do so much so when we hit these big natural disasters anything that exceeds our normal capabilities our normal resources that's when these protocols and these links to all these agencies actually come into play so for example our hurricane season that means that everybody's coming to the table what are you bringing how can we help each other and how can we use these new technologies in a manageable way so basically what I created is that we as airports for this community which I understand and know my community and because I'm in the UAS game I can actually bring them in invite them in and educate them and actually put them to work in a safe environment and that's key as long as they're safe responders are safe nobody's gonna say no that's that's a the fact that you're on one IE which is 3100 population a single airport and everybody pretty much knows each everybody else you're related to quite a few people George in the silent for example it's a it's a great place where the the pre-existing knowledge base exists and the trust and the confidence exists and you can create something like you like you've done how do you see taking what you've done here and translating that over to Maui for example or to Oahu or to Charles Warner's area in Virginia well this is where we get the media and that artistic person with the drones where we create positive articles of what we're doing and sharing it with these communities where it's coming from the community accepting and volunteering and coming to the call of emergency management on a large scale and then over time once on a large scale that we get this accomplished you can break down these components and then you can install them into your local fire department local police department local DNR but when the time need in me when we are in need we can actually come together and all everybody brings a piece of the puzzle and we have just a massive data collection of organizations with all types of technology well I think we we sort of have an obligation to bring this up and look at it from all kinds of perspectives when Charles is back from chasing Hurricane Florence because I think this is an important element that might be overlooked and as you say as people tend to think too big on things I often fall into that trap that you mentioned of overthinking the situation and we maybe need to underthink it a little bit and start with what is already there and make sure we capitalize on everything we can without having to invent anything new and that's exactly the policy you've created so I think we collectively have the obligation to put that into a discussion that can occur up in Alaska in a couple of weeks and then get that over to Charles as well in Virginia see what he thinks and how that can be camp become part of the emerging general strategy here and what what's intriguing is to me anyway is it there are standards starting to form up everywhere there's technical standards forming up in the structure and the materials and propulsion there are a STM f-38 takes care of that there are communication and software standards beginning to show up coming out of our TCA we'll hear more about that is as they come closer and some of those organizations that are setting up standards really need to know the operational side of the house as well as the technical side of the house in order to make those standards as useful as they can be in supporting what you're doing so we need to somehow get you and in Charles in front of these other standards organizations and make sure that as the standards are developed they continue to continue to fit the operational operational framework of reality and let's talk about so one of my ideas is why I came up with the protocol was I need to be able to teach a brand new fresh recruit firefighter with no experience behind him how to get him to understand it in the most simplest form because if you look at our party partners today we have many recruit classes not of us who are veterans we're leaving so we need to be able to pass that information on and when I'm now part of that community as a retired person I want to make sure my fire department running the way I left it and do it better let's talk about that the broader educational context of this after we get back from our one minute break hey Stan the energy man here on think take Hawaii and they won't let me do political commentary so I'm stuck doing energy stuff but I really like energy stuff so I'm going to keep on doing it so join me every Friday on Stan the energy man at lunchtime at noon on my lunch hour we're going to talk about everything energy especially if it begins with the word hydrogen we're going to definitely be talking about it we'll talk about how we can make Hawaii cleaner how we can make the world a better place just basically save the planet even Miss America can't even talk about stuff like that anymore we got it nailed down here so we'll see you on Friday at noon with Stan the energy man Aloha I am Howard wig I am the proud host of cold green for think take away I appear every other Monday at three and I have really really exciting guests on the exciting topic of energy efficiency hope to see you there it is still the noon hour on Thursday folks Ted Rawlson here downtown Honolulu studio think take away George Purdy joining us from the airport fire department on Lonay and George's is absolutely one of our leaders in the state and certainly in the nation and thinking through how to take complex new technology and add it to the existing protocols of public safety joint operations that's a mouthful but I do want to also thank George for all the thought leadership he's provided to me have enjoyed that very much we were talking just before the break about the means by which new recruits coming into your fire department or anybody's department whatever it might be how we need to leave something behind that they can grasp on to without having to have them reinvent the future how do we take what we've done collectively or singly and convert that into a policy or a methodology then can serve those coming behind and both you and I my myself way beyond you George or notice my hair is getting kind of white and won't be doing this forever so it's up to us to leave something behind that attracts that kind of new idea and but sets a stage for how it can be incorporated safely and effectively I think we have both on the on the department level or the agency level we also have a joint obligation to work with the schools and educational system so once again with the leadership that you are able to profess and perform on the night how do you see that George in both the department you work in and then how do we broaden that to bring it into the schools in general well I'm looking at bringing it into the schools after this hurricane season especially our graduating seniors juniors and soft wars and we have a day on what we call job day where we actually go to our schools and we're in uniform or bring all our equipment and we sit at the booth and we educate the students that you know who would want to be a fireman one day who wants to live on this island and then we show them the new technologies we explain what we do and how do we serve and help our communities and we look at disasters across the world and we just want to help people okay and so that's certainly the top-level picture in terms of the specific aspect of drones and UAS if you think about that from a from a high school student perspective and combining that with the need to serve the public that you have over in the fire department some form of connective curriculum would need to be constructed that can rely on the existing doctor and you put in place but also allow the more free-thinking kids to start thinking about how they might make that better what if we had a like a competition of some kind help the fire department just to coin a coin a phrase how would that work having a way to induce the kids to think about how they might assist bringing these kind of technologies forward and that doesn't include just UAVs underwater vehicles as well also social media what if we sort of had that how we would how do we encourage the kids to think out of the box as you think out of the box as you and I exit stage right I would say like for me as a fire department I would take my island and my fire department go into the schools and I'll be there adaptive department of department giving them the scenarios and together we'll work together on accomplishing our scenario right a paper on it we do videos and then maybe we could submit it and we have every island a fire department for like me I'm a parent there's many other firemen friends that I know our parents that their kids are in school we could do it I like competition submit videos written documentation of what we've done and how we accomplished it and go from there and then maybe pull up a trophy with think tech on TV maybe we sending in videos and put a small show together and do something that we can something we can do like a legal legal league robotics that framework works so you actually have the I just say we're suffering from the the two or three second time delay here on our comms but that's that's a interesting idea now robotics and the various competitions that exist generally are against a a somewhat fictitious challenge such as robot wars or something like that and they're set in a in a conference room or set in a gymnasium environment if we took that as a base and thought of an outdoor environment a real issue wildfire for example search and rescue in the ocean the things that really matter the things where budget is being spent the things where people are at risk and are being addressed because of that and have a competition you know once again at the at the high school level just thinking about this out loud here first time we've ever had this conversation George but a means by which that group of people can think through how they would solve that problem based on what we've created already which may not be the best in their mind I just wonder who we would get to sponsor that and what what the next next step would be after somebody wins it what do we do do we actually implement but that's something that maybe in a national organization like like AUVSI would be interested in I know AUVSI sponsors Robot X out here in Anahu which will be in Keke Lagoon again this year which is kind of a high-level graduate level but we need to make these connections with the with the with the formal agencies starting in the high school level at the high school level well I totally agree this actually creates a two-way street it creates us the first responders getting information to our future first responders and these kids in school actually go back home and start talking with their parents and it with this competition just like how my son's in football right now they want to come out and see so now you start bringing in everybody around the students and this technology and just a simple form of threat that they figured out how to accomplish it with using these tools so key thing to any emergency out here is we always try to get that information like how on this storm there was not enough information going around or there's a lot of information going around these are the things that what I've just seen in the last 48 hours that this little program that we're talking about could take off and you know there's a the more we talk about this the more sense it makes I mean we've had an interaction with Kale Loa Intermediate School and the airport in the John Rogers Airport on the West Oahu you've had so much interaction on Lanai Airport we could even bring the FAA into this picture because certainly whatever we do is going to have to conform to FAA standard and emerging management functions for UAS but it would be unfair to ask you to start this on Lanai but it's also fair to ask you with that because you do it so well and because you have everything set already there but nevertheless we think we have a phone call next week with Aerospace States Association which Hawaii is part of we have the AOPA have AUVSI somewhere in and we have Charles Warner and the National Council for UAS Ops in public safety four organizations that I think all would be really interested in this high school level competition how do we again quoting how do we take this kind of technology and bring it into the in this case the fire service with local knowledge and local application being the measure of success I will absolutely bring this up with our friends on AOPA who've been on the show and and Aerospace States Association maybe we can put together a two or three paragraph proposal even toss it out in Alaska in a couple of weeks and to see if we can get this get this started because it's there it's those kids who are going to be inheriting the fire department they're gonna be inheriting the fires they're gonna be inheriting the island and why not have them have this taken ownership right now and once again so that we can make sure the standards as they emerge in unmanned air systems conform meet and support that kind of necessary civil responsibility exactly and I think it'll help the healing between government and community and the community won't feel like we're infringing on their privacy flying over them because we have that interaction we're doing something positive and you're teaching that next generation not to be that person that's out there doing bad things so very refocusing them to do something good that is a very compelling reason just in itself actually it also the standards have an influence on the way manufacturers perform it as well so we would be able to get actual in this case firefighting needs baked into the required the design requirements let alone the certification offering requirements so George we're gonna have some time to get her in a couple weeks same place in where it's cold and by the way yeah when you step off the airplane in Fairbanks it's okay to have Zori on during the flight but probably need shoes and socks on the end because it's going to be cold up there George and yeah so anyway surf shorts probably won't work in the forty degree climate either so be just caution on that one anyway so I like this idea and I like the idea of us getting to get her sketching something out see what the people the organizations that are kind of above us would how they would respond to this but make this an annual event competition once again as we're saying in here a competition and a very much an applied robotics competition I would say is what it is it isn't just a competition robotics it's applied it's applied and there's a real-world effect yeah it's applied and you measure it in the real world effect the value at measure that the real world and with actual real-world people such as fire department members providing comment and feedback on that what's been what's been designed and developed and proposed it's sort of like a science fair it's an applied science fair dealing with real issues that are emerging and in fact that could actually be the means by which we deal with these emergent big picture changes like climate change like global warming I mean all the hurricanes we've had here in Hawaii in the last couple of years we never had any of those when it was cute what's that Makani Pahili there yeah it would be a Makani Pahili junior right that that the level it actually we should do it on the onset of hurricane season and you know we work for after hurricane season we introduce what the students and the schools has provided and their presentation at Makani Pahili and then we're ready into the hurricane season so this could be we can actually take that hurricane season dissected what issues that we had that's the problems that these kids solve and we bring that solution as the next hurricane season I like your activity George has flying all over the place that's great we have about a minute before we we run out of air time here but let's talk about that because the timing is cool that you suggest that Makani Pahili is in May or June school the school semester ends in that same time period so this could be a two-seme a two-semester buildup and actually that the test is participation at a scholastic level in Makani Pahili that's it and I think you may recall Makani Pahili about five years ago online I here and I will be first met that had this our very first discussion so okay so your hands waving this is exciting stuff exciting to me to think of how we can bring the kids into it and also serve real missions not just robotics competitions missions that they're certainly related but we have higher goals here in mind by this means so you and I will be spending time together we can write this up propose it maybe here to the National Guard and see if we can't generate I guess what we're talking about is an academic or probably a scholastic level in Makani Pahili played out locally on each island and because there's more community members than there are first responders okay so now we just reverse the role and we we are creating citizen first responders to help the professionals I like that and at this point in time we have taken the obligation to work this out you and I will do that and folks this is the end of our 30-minute time period for today so Ted Rawlsson here in Honolulu and George Purdy and Lanai George thanks for coming on again and all the bright ideas that always thank you I will say that we have to limit George to three bright ideas per show otherwise we can't handle them all so George we hit what went over on this one yeah thanks a lot George we'll see you in a couple weeks bye all right a couple weeks folks


hello everyone okay so right now my shipment have arrived so this one came from Hong Kong you can see there okay so let's open this up the scissor okay so what's inside let's see so inside here there is it a ring so this one is the Superman ring which I bought from Amazon you can see here clearly sharp okay so let's open this things up cut this thing okay so put this things up so this is it it's a gold it's not real gold but it's a gold plated one so this here it is a Superman still you can see that clearly focus okay there you go so I picked a size of 8 because I have measured it for my finger and yeah so basically basically for my middle finger here so thank you for watching have a good day


Well day three of the Beltrami County fair is in the books but not until after a full day of judging. Members of the 4-H program have worked many long hours leading up to this point. The beef show took center stage today as both participants and spectators learned firsthand what a judge looks for when judging beef. For the judges this is an opportunity to help educate and guide each participant to get to the next level. We overview the animals and then we talk about where you might do better on in your breeding program particularly and then the fact that we talk about the the nutritive value of what you're doing so you want to inspire you can inspire in many many different ways of course and and and so being careful on the things that you want to see improvement because you don't want to just be too over critical say wouldn't you like the opportunity to do such and such. Judging continues through the weekend the Beltrami County fair wraps up on Sunday.


CHAPTER 1 TAKING ONE SELF FOR GRANTED There are men who are capable of loving a machine more deeply than they can love a woman. They are among the happiest men on earth. This is not a sneer, meanly shot from cover at women. It is simply a statement of notorious fact. Men who worry themselves to distraction over the perfecting of a machine are indubitably blessed beyond their kind. Most of us have known such men. Yesterday they were constructing motor-cars, but today aeroplanes are in the air, or at any rate they ought to be, according to the inventors. Watch the inventors! Invention is not usually their principal business. They must invent in their spare time. They must invent before breakfast. Invent in the strand between lionesses and the office. Invent after dinner. Invent on Sundays. See with what ardour they rush home of a night. See how they seize a half-holiday like hungry dogs a bone.  They never wonder at a loss what they will do next. Their evenings never drag are always too short. You may indeed catch them at twelve o'clock at night on the flat of their backs, but not in bed. No, in a shed under a machine, holding a candle whose paths drop fatness up to the connecting rod that is strained or the wheel that is out of centre. They are continually interested, they enthralled, they have a machine, and they are perfecting it. They get one part right, and then another goes wrong, and they get that right, and then another goes wrong, and so on. When they are quite sure they have reached perfection, forth issues the machine out of the shed, and in five minutes is smashed up, together with a limb or so of the inventors, just because they have been quite sure too soon. Then the whole business starts again. They do not give up. That particular wreck was, of course, due to a mere oversight. The whole business starts again, for they have glimpsed perfection. They have the gleam of perfection in their souls, thus they're like... Sample complete. Ready to continue?


Bad time. Looking at the philosophies, Stoicism is building fortitude against destructive emotions, unfazed and clear thinking at all times. Imperialism, imperialism is your senses shape your reality, external influences, whereas rationalism is looking at the evidence before and reasoning gives you knowledge on how to proceed. There's a fine line between all of those, and I'm pretty sure you could go between all of them. No one is able to be unfazed and clear thinking of all times. No one. Okay. Not even I. Okay. Imperialism is your senses shape your reality, external influences. I think we are all shaped by external forces to a certain degree. Just propaganda being one aspect of it. Okay. And what was it? Using evidence before reasoning gives rationalism, looking at evidence, evidence before and reasoning gives you knowledge on how to proceed. And at times, hopefully, a lot of people are using reasoning and knowledge or research to make decisions. I don't think anyone stays in one state all the time. I think these are about the time and what you're stating is these are things you have to understand or use depending on the circumstances that you're in. Right? Depending on the circumstances that you're in. So for example, if you're in a fight, like a fight, it's a pretty good idea to be to follow Stoicism. Stoicism. Right? Be unfazed and clear thinking at all times. That would be Bruce Lee. Right? If you shape your reality, external influences, if you're at a rave, if you're at a club dancing with other people, then empiricism would be fantastic because you let the music and the energy of the dance of the crowd to influence you, the external forces. Right? If you're doing research into a topic, maybe the most recent pandemic, then it might be a good idea to follow rationalism and use research and knowledge to proceed to the next step. Right? All three you could use within minutes of each other. Really?


Hi there in this second video on the fundamental subspaces of a matrix. We're gonna look at the column space remember the first video was on the null space and Please go and watch that video. I'll link it in the description down below and there'll be a card up here If you're watching on a computer, you'll see that card. So have a look at that video first We can use sort of the similar code I will review a little bit about the null space, but best you view that video first now We're going to use Jupiter notebook again, and that's inside our visual studio code as you can see here and We're going to use the SMPI library first of all at the top. You'll see mathematics Python 3.9.2. So I do create special environments Python environments using conda for all of my work and so that's just for you to see in the top Right hand corner there if you want to set up your system a similar way that would be Python 3.9.2 So let's set up those packages I'm going to use SMPI once again, and I import SMPI with any without any abbreviations there so just import SMPI and That means if I want to use one of the functions inside of SMPI I have to type out the whole word SMPI dot. So just for your interest as well, you can see I'm using The Dunder attribute version there So 1.10.1 as far as SMPI is concerned and then we want this Latic to be printed to the screen nice mathematical notation. So I'm going to call the init underscore printing function inside of NumPy So let's just think about to start off by thinking about a vector in Rn So we're talking about mostly here about the geometric interpretation of a Vector, but we can also just think of it as a array of numbers whichever way you want to look at it Rn Can be a representation of one of or each of least of the columns Column vectors we would call them in a matrix So if we look at our matrix in equation one here I have a column vector one two five a column vector three three one and a column vector one two two So if you think about it each one of those geometrically at least will exist in three space and that really has to do with the way The way that we set this matrix up matrix up in as much as the only three rows So if we talk about a m by n matrix m by n matrix as you can see there We know that the result Which is B if you think about a x equals B as we see there Will turn x the solution always and B we turn the result So we have a result that is an element of our M purely because they are three There are three elements in each of these column vectors. They're three rows in my matrix so critically I we really need to think of multiplying a by some vector x and because we have a square matrix here x will also be an element of our three But it is this linear combination of these column vectors So it's except one times the first column vector except two times the second column vector except three times the third column vector And that's going to give us the result for some solution x And x in our instance as I said because it is a square matrix. There are three columns It'll also be an element of our three now what we have to think about here before we get there As is to think this vector B the result of vector What values can it take if we think about all of three space because our example here is really just three space What what areas in that geometrical space can this? Result the vector B take that is what we want to determine So a little bit of revisit of the null space We're gonna create a matrix here and as you can see I'm again using the some pie dot matrix Function I'm passing a Python list and then I'm using the reshape So dot reshape method and I want that to be reshaped as a three by three matrix So that's one way to go about it And you can see we have Assigned to the computer variable a we've assigned this Matrix that we had in equation one so you can see the column vectors there one two five three three one one two two Now this is a matrix in which these three column vectors are linearly independent Not one of them is a linear combination of the other So the addition of constant multiples of one of the other ones and we can look at that as far as the rank is Concerned to confirm that so we can use in some pie here the rank method So a dot rank we see a rank of three that means there are three linearly independent columns or In a mathematical textbook that might be there are three pivots Now we can set up or so the Homogeneous system so we'll have a result as a zero vector and see if The solution to X is a zero vector if that is so that means that's the only solution That'll give us a zero vector as a result and we know that there's linear independence We also remember the fact that We have that the rank plus the nullity must equal the number of columns and we have a rank of three We have three column vectors therefore. We're never going to have a basis vector or More than one basis vector We're not going to have any basis vector when it comes to the null space And if we call the null space method there on our matrix a we see we get back this empty Python empty list and That means we don't have a vector that spans any space So the the null space does not exist although remember we will always have the zero vector there So that the zero vector does not span any space So let's then dive into this column space Remember we said that it is the result B that we after what values can be takes We're thinking of three space can it be any vector in three space or is it constrained to some plane or even some line and So what we're going to call here just on a is the column space So very fortunately we have this idea at least a method called the column space in Sympi and you can see it's just going to return These three column vectors for me as is they linearly independent in other words They are a basis for the whole of our three They are three of them, which is what I would require as a set of basis vectors to span the whole space and they are one Version of a basis vectors you can of course There's a three space so it can even have the three standard basis vectors that will also span our three and that's something I think that we just have to talk about a little bit and That is this idea of if we do Elementary row operations on our matrix is that going to affect the column space so the end result of Elementary row operations with gas Jordan elimination would be The reduced row echelon form so that's as kind of as many elementary row operations as you could perform So let's do that We've seen the rref rref row reduced echelon form method So I'm going to call that on a and that's going to return two things for me the reduced row echelon form of Of our matrix and it's also going to return Well, that's a tuple that it returns the first element in that tuple of the zeroth element would be the reduced row echelon form matrix But the second element in that tuple is going to be a tuple itself And that's a tuple of the indices the column indices that contain the pivots And that's not what I want. So I'm going to use indexing and I just want the zeroth element in that tuple that gets returned So that I only get the reduced row echelon form of the matrix and I'm going to assign that to a variable called a underscore rref And as you can see that as we suspected that we are going to get back the identity matrix. That's a square matrix. We have Linearly independent matrix all the three columns are linearly independent if we do if we do gas Jordan elimination We are going to end up with the with the identity matrix and that is exactly what we do get now Let's have a look at the at the basis vectors for the column space of this Matrix that is now undergone Elementary row up or at least elementary row operations were performed on this and what we get back are these three standard basis vectors And of course they span our three and that would be a different just a different set of Vectors that are the basis as opposed to the three that we have before so In our instance, it does not change the space that is spanned, but this is a very special case So I want you to remember Very important here that elementary row operations They are going to affect the column space They're going to give you a different column space once you do any kind of elementary row operations. So As before with an all-space we're going to go through all the kinds of matrices that you might come across So our second one here is going to be a square matrix, but now we have We don't have linearly linear independence So I've created the third column, which is this addition of the first two column vectors So definitely we have linear dependence here. Any one of these column vectors can be written in terms of the other two So if I do the rank I better get back a rank of two and indeed we have a two there Now this has consequence for us. Remember that I have three columns I have a rank of two which means I must have a nullity of one So there's going to be a vector. That's a basis of the null space But what does that do for our column space? Well, we cannot we can no longer have a basis that will span all of our three We're only going to get back to and what this column space is going to do again It's going to return the first two of two column vectors that are linearly Independent of each other and the first two that it found was the first one in the second one Or the zeroth one and the first one when it comes to python indices, and you can see them there one to one and two for one And if you think about those two vectors in three space They they will span only a plane through the origin and that plane I want to use an inverted commas. It's sort of an angled plane. It's not on the XY or YZ or XZ planes it's sort of angled and Any solution vector X if I take this matrix and multiply it by any solution vector that I can think of Which is a vector X. I cannot get to all of three space There is a constraint now a placed upon the possible Result vectors and that is the column space might be vector B is now constrained And that is that constraint is the column space And the two vectors that we see there are basis for those Now what if I were to do the column space on The row reduced asian form so now I've performed elementary row operations on a and you can see the a dot RRF RF method But I use the zeroth index of that because I only want back the matrix and not the tuple of pivots And then call the column space on this So this is me looking at the effect of elementary row operations on my matrix. Does that change the column space and Yes, look at that. I have again two vectors They are now the basis of the column space of this new row reduced asian form of this matrix And we can see there the first vector is in three space and that points along The X axis if you think geometrically the second one points along the Y axis So any linear combination of them has to be a vector in the XY plane But we've just said that these two vectors here that are basis for the column space of the original matrix a that's going to be slightly angled So on this angled plane through the origin in three space. So these are not the same subspaces They are different subspaces. So please remember that if you do elementary row operations on a matrix you Very likely are going to change The column space because it's very rare that we deal with a square matrix that is totally linearly independent We're going to deal with Matrices in most cases that have many more rows and columns that sort of quite normal and we are going to affect the column space So don't make that mistake Elementary row operations Do not affect the null space or the row space and the next video tutorial is going to be about the row space It does not affect those subspaces, but it does affect the column space. It's only in that very neat Example of a linearly independent square matrix that we're not going to change The column space but in other instances be on the watch out for changing that column space Because what the problem is and I think what the crucial bit is that you sort of have to realize is this is the following So let me take a matrix. I'm just going to create a solution matrix X there 2 to 1 There we go. Now I can use the simpi dot mat model. So that's matrix multiplication of matrix A And the solution vector X. So I'm doing AX and I'm going to get back some B Now if I just were to just do that, it's just going to neatly print that A and X to the screen for me So I've got to do that dot do it Method there and that's going to do the actual calculation for me And I get this vector B this result vector 9 18 6 So what I did is I took 2 times column vector 1 of A plus 2 times column vector Second column vector of A plus 1 times the third column vector of A. That is what AX means So I've done that for you here in print in equation 3 So it's 2 times the first column vector plus 2 times the second column vector plus 1 times the third column vector We do remember though when we set up this that this third column vector was just the addition of the first 2 So I can this this 3 6 2 I can rewrite that and that's what we see on the second line as 1 times 1 to 1 And 1 times 2 for 1 it's just the addition of those two If you were to look at that 1 plus 2 is 3 2 plus 4 is 6 and 1 plus 1 is 2 So nothing changes But these two column vectors they the same as the first two column vectors So I've got twice this column vector plus one that column vector that gives me three times the first column vector 2 times the second column vector plus 1 times The second column vector that gives me three times the second column vector and then there's nothing left Zero left of that And this means I have a new vector. Look at this 3 3 0 That's a different solution vector than the first one. Our first one was 2 to 1 now We have a separate one 3 3 0. But look what happens if I do this I'm taking matrix a and multiplying it by this solution vector. I get back the exact same b So there are more than one solution vectors That you know when it's acted upon by my matrix. So a times that gives me the same b There was some constraint on b in this instance And now you can clearly see why we don't have an inverse for this matrix Because I can't go back from b to a because there are two solution vectors that we've seen here two different solution vectors x that get Well, we'll we'll use those terms in a in a different lecture when we talk about or a different way to look at the multiplication of matrix a with a vector x That linear transformation of x the two of these column vectors or two of these solution vectors um They get this translation to the exact same vector. There's we don't have all of these space Available to us now. It's constrained to the subspace. That is this plane through the origin and clearly two different solution vectors x They get they get translated to this the same vector 9 18 6 I hope you can see that that is that constrained And hence this is not one to one And on to this this linear transformation as far as a function is concerned And therefore it's not a bijection and it won't have an inverse I can't get back because here we've shown at least there are two ways to get back Or there are two different vectors to get back to if I took the try to take the inverse of a And we will not have an inverse of a it's impossible to calculate an inverse of a so that that's sort of the Nice part of understanding this idea of a column space So let's move on. We're going to talk about rectangular matrices with more columns than rows now. We saw what happened there before If we look at this first Matrix simple matrix object that we create three by four matrix as you can see there by the reshape I have 12 elements here in my python list I reshaped them in three rows and four columns and we see that So each my column vectors think about it. They exist in our three and three space I need three basis vectors. So three of these I only need three of them to be linearly independent I have four so there's no ways that at least one of them is not going to be a linear combination of the other That that that should just be logical. So if I look at the rank now, I've created this such that Three of them are linearly independent. My rank is going to be three. So again in this semi special case I'm still going to span all of our three But I now have four column vectors and and I can express any one of them as a linear combination of the others I have four columns though and I have a rank of three, which means I must have Anality of one there must be a basis vector in the null space And that is two first of all, let's just look at the column space and we can see it's going to return just the first three Linearly independent columns that it can find and it is those first three one to one two for one one three seven The third one there at least so you can see what happened here. So look at this third one It's one plus two is three two plus four six one plus one is two So the second one was you know looked at the first one then looked at the second one and says well It's not a linear combination of the first one Let's at the third one it says oh, well that is a linear combination of the first two So it's going to skip that one and then the third one finds well It's not a linear combination of those three that came came before So it's returning those three that are linearly independent and that is the basis for all of our three So again, I can span all of our three, but I've got four columns So anality of one so there must be a vector that exists That that at least is a basis for my null space Look at that though that this solution vector x that is a basis for the null space is an element of r4 not r3 anymore So that null space when we have this kind of matrix shape Is not necessarily then going to be in the same Part of the same vector space as those column vectors Now let's have a look at taking this matrix x And there we go. That was the basis vector And let's say three times that Three times that vector which is now a different vector and minus three minus three minus three If I were to multiply this new three times x By a it's still going to give me zero zero zero and that's what we mean It is a basis any any scalar multiple of that and if there was more than one A linear combination of those basis vectors for the null space If I were to take matrix a and multiply by any one of those vectors in that subspace It's always going to result in a result vector that is b. So that should be quite clear Once again, let's do elementary row operations here And then call the column space and we see that there's other standard basis vectors of r3 So this is once again a special case. I did already span all of r3 by my column vectors In as much as at least three of them were linearly independent the fourth one Absolutely, whichever one of the four days must be A linear combination of the others, but I'm still talking about the same columns column space It's still r3, but once again, it's not always so so watch out elementary row operations Most definitely most of the time is going to give you a different column space Now we get to matrices that we'll see much more commonly. We have many more rows than we have columns So in our first instance, we create a simple matrix object and we have one two three four five rows and three columns And that means that each of these column vectors on element of r5 And if we look at the rank, we see that it's three. So these are linearly independent column vectors Now let's call the column space of that and what we're going to find once again It's going to return the first At least all the first linearly independent column vectors that are confined. We have a rank of three We only have three columns. So all three of those vectors Now those each of those vectors are an element of r5, but I've only got three of them So that is a basis for a subspace of r5. I cannot span all of our five Now let's have a look at what happens when we do elementary row operations on this matrix And as I said, the most extreme form of that is to use gas Jordan elimination Until we get the reduced row echelon form now look clearly at the difference between these three These are not the same column space. This is three basis vectors and another three basis vectors And they do not span the same sub subspace of r5 Because look at this if I look at x sub 4 and x sub 5 they non zero in these first three But here we're looking at standard basis vectors and there's there's no way for me to have any element in x4 and x5 They are all zero all zero. So these you should clearly see that these are two different column spaces Two very different column spaces. So do not do any elementary row operations on your matrix Before you look at the column space of that matrix So now let's look at a rectangular matrix again with more rows than columns And now we have one we have linear linear dependence So let's have a look at this one And you can see one plus two is three one plus three is four one plus five is six two plus two is four two Plus four six. So clearly we have linear dependence here. And if we look at the rank now those first two Are linearly independent. So the rank is going to be two I am definitely going to have a matrix in the null space, but let's have a look At the column space here once again returns for me the first linearly independent Vectors that it finds and now we can see there's only two. So my subspace is now even more constrained As far as r5 is concerned. I only have these two basis vectors Once again, let's do the reduced row echelon form take the column space of that once again Look at this except three except four and except five There's no way that a linear combination of these two basis vectors is going to get anywhere in You know within except three except four except five In r5 they're never going to be values there, but I do have that with these two So these are not the same column space Now let's have a look at the null space Of course, I do have to have a vector in the null space because my rank was two I have three columns. So I have to have a nullity of one and there we can see I do have A vector in the null space by the way, let's do this And you can do that with any of the others before and now let's just do an elementary row operations on this vector And then call the null space and you see nothing's changed. That's still the same basis vector So the null space doesn't change and in the next section, we'll see that the row space doesn't change, but the column space Definitely changes in most cases only in those special cases that it won't change So as before we're going to end off with a little proof.  They're all all fulfilled all those properties when you look at r m So to show that the column space is a subspace We have to show any three things that the column space contains at least one vector And remember there's always the zero vector even though that doesn't span a space. They still a vector there More importantly, we should talk about addition that holds and scalar multiplication that holds So when we know that we can always find the solution x equals zero for the homogeneous system b equals zero That's what I said. So the there's always that zero vector b Now we want to know that if b sub one and b sub two are in the column space of a We must have that b plus b one b sub one plus b sub two is also in the column space of a So that's easy enough to prove because By our statement a x sub one equals b sub one and a x sub two equals b sub two We've stated that those both of those are in the column space So we can write these two and then we just do the addition a x sub one plus a x sub two That must equal b sub one plus b sub two and we know that we can rewrite the left hand side as A times x sub one plus x sub two the right hand side is going to be a new vector But as we write it there This new vector b sub one plus b sub two is in the column space of a Because the way that we can write it there and then the same for the scalar multiple Or a c which is an element of the real numbers So if I multiply left multiply both sides by this scalar c And by definition we still have that b is in this column space. So we can write a x equals b And then we just rewrite c a x as a times c x From the properties of matrix vector multiplication and that's going to equal this new vector c b So c b is also in the column space So we've shown that This row space is a vector subspace. It is a vector space It's a subspace of r m in these examples that we've looked at So I hope you learned something from this video on the column space. Remember, it's all about the result vector b That's what the column space is about. You've learned that once you do elementary row operations You're going to get a different column space unless you have a special case And you can now clearly see at least as far as the square matrices are concerned If you have linear dependence, why you can't have an inverse Why you'll have a determinant of zero because it's this idea of translating our matrix x into this column space b And that there will be more than one vector that can go to the same column b And then that means if you want to do an inverse, you know, which one of those two are you going to go to So you can't really it's it's a clear way to see why you won't have an inverse In the next video, we're going to look at the row space of a matrix


The article proposes a novel approach for integrated management of food-energy water systems that incorporates uncertainty, resource interdependence, uncontrolled variables such as climate variations, and adaptively optimizes management decisions to minimize costs and environmental impacts. This article was authored by Malatma Mazadeh, Scott Mora, and Aapet Horvath.


Mercy said, no, I would have been killed, but mercy said, no, justice demanded that I would die, but mercy and grace said, no, let him live because the blood has been shed. I'm getting ahead of myself, but I just like to say, what can wash away my sins? Nothing but the blood of Jesus. What can make me whole again? Nothing, nothing but the blood. I wasn't good enough. I wasn't smart enough. My parents weren't saved enough. It took the blood of Jesus. Verse 11, it said, and it came to pass an angel of the Lord and sit down under the oak tree, which was in Oprah. Oprah was back in the Old Testament. She'd been bawling a long time. That potato to Josh as bears right in his son, Gideon. Gideon thresh wheat by the wine press to hide it from the Midianites. And so Gideon, he's down here thrashing wheat. He's thrashing wheat by the wine press and he's hiding from the Midianites. Are you hiding from the enemy? You don't have to hide from the enemy. But he was hiding so the enemies wouldn't find him and take his wheat.   So he's hiding says, and the angel appeared him to Gideon says, get in the Lord is with thee, the mighty man of valor.  See, God often sees greatness in us that we don't see in ourselves. God said that we are mighty men and women of valor because he knows what he's going to place in you to do the work of God. But doesn't that that angel appeared unto him and get in, he replied, Lord, if you're with us, why are we living like this? And where are the miracles that we read about in the Torah? See, but that sounds like us sometimes we moan and complain to the Lord and we tell him, Lord, nobody knows the trouble I see. Nobody knows my sorrow.  Have you ever noticed how God will tell you to do something that's impossible for you to do on your own? But God knows, hey, you're not by yourself, you're not on your own, I will be with you. Verse 15 said, and he Gideon said unto him, unto the Lord, O my Lord, wherewith shall I save Israel? Behold, my family is poor in Manasseh, and I am the least in my father's house. So Gideon said, oh Lord, how can I save Israel? My family is a poor family in Manasseh, and I am the least in my father's house. If he were here today, I believe he might say something like this, hey Jesus, hey, check this out, Lord, how can I do this? I'm just a poor black boy from South Central trying to make a living in a white man's world. I even dropped out of city college. Really, you really want me to do that? Tell your neighbor, really? And here it is, here it is, here it is in verse 16, and I believe verse 16 is the most important verse in this text. It says, and the Lord said unto him, surely, surely, without question, without doubt, without concern, I will be with thee. And that shall smile the median eyes as one man. I like that, he said, surely, hey, surely, he says, I will be with you in the story. See what you need to know, what you need to understand, God with us makes the impossible possible. Let me say that again, God with us makes the impossible possible. The Bible said, and with God, all things, all things, all things, no matter what you're facing, all things, no matter what you're going through, all things. I know he broke your heart, but all things, I know they took your money, but all things, all things are possible to them that believe. Do you believe that God is able to do exceedingly, abundantly above all that you can ask or think? And I'm going to ask you to read the rest of the story on your own time, but you'll see Gideon, he gathered an immense army of 32,000 men. And God paired the number down to 300 men so that they could understand it was God who gave them the victory. When you look back over your life, if you look close enough, you will recognize that it was God that brought you through and brought you out.  And people said, how did you make it? And you'll have to say, I don't know. All I know was God brought me through it and he brought me out of it. I wanted to give up. I wanted to throw in the towel, but God said, keep on going. Now I said all of that to say this. Yes, I know you've been going through tests. Yes, I know you've been going through some trials. Yes, I know you've been facing some situations, but I'm here to tell you today, don't worry, don't trip, don't faint. But you can rejoice. I said, you can rejoice because he is on your side. Romans said, what shall we say to these things? What shall we say to these tests? What shall we say to these trials? What shall we say to these problems? The Bible says, but if God be for us, hey, if God be for us, not Boo Boo and Ray Ray and Mama and him, but if God be for us, who can be against us? If God be for us, the enemies defeated. If God is for us, we have the victory. If God is for us, we have our healing. If God is for us, we have the breakthrough. If God is for us, we have the blessing. If God is for us, we win. Dear somebody, we win. The children of Israel, they're being delivered about of Egypt and they're running from Pharaoh. And they're having their Red Sea experience and they're running through the Red Sea.  Get a good look.  You may see some other enemies, but you're not going to see this enemy anymore.  Get a good look at them because you're not going to see these enemies no more. No more. No more. It's over. It's over. Tell your neighbor it's over. The test you're going through, it's over. The trials you've been going through, it's over.  Make them running all down your face.  It's over. God said to tell the people, it's over. It's over.  The Bible said, hallelujah. The Bible said greater is he that's in you than he that's in the world. The Bible said in all these things, we're more than conquerors. Not just conquerors, but more than conquerors. The Bible said and they overcame him, they overcame him, they overcame him.  See something about that blood, that precious blood. What can wash away my sins? Nothing but the blood of Jesus. The blood is so powerful.  There's no, it's something about that blood. The Bible said without the shedding of blood, there is no remission. Hey, there is no forgiveness of sin. Someone said my sins were many. They were like scarlet, but he washed him white. There's snow. Isaiah said, no weapon, no weapon, no weapon, no weapon, no weapon that's forming against me. No weapon that's forming against you. No weapon that's forming against us. Shelf posper, no weapon. I don't care what it is. I don't care who it is, but no weapon. Shelf posper, tell your neighbor it won't work. It won't work. So no matter what you're facing in life, no matter what the struggle is, no matter what you're going through, what you need to know is that he is on your side. He is on your side. He's Emmanuel, God with us. Jesus said, I'll never leave you. I'll never forsake you. In other words, I got your back. Someone said he's a lily of the valley. Someone said he's a bright and morning sun. Someone else said he's a bridge over troubled water. Someone said he's a waymaker, a miracle worker. He's a promise keeper. He's a light in the darkness. Sometimes we don't know where to go. We can't see our way, but he's a light in the darkness. He opens our eyes. He tells us where to go. He tells us what to do.  But he's a light in the darkness. But the point I like about it best if I say he's my God. He's my God. He belongs to me. He's my God. He's your God. He's your God. He's your God. He's our God. That's who he is in our life. He's a miracle worker. A miracle worker. See, sometimes we need a miracle worker. But like he says, not only that, but he says I am the prince of peace. See, sometimes we think we need stuff. We think we need money. We think we need another hamburger. We think we need another piece of cake, but what we need is Jesus.  She says, what you need is Jesus because he brings peace. Peace. He brings peace that stuff can't fix and money can't fix it.   So when trouble comes, when the enemy attacks you, when your kids are acting crazy like they lost their mind and when your boss is on your case you don't need to worry, you don't need to fret, you don't need to trip, you don't need to give up, you don't need to throw in the towel what you do, you need to know you can rejoice. You can rejoice. You can rejoice because he's on your side and he will bring you out. See, just praise your way through. See, praise is what I do. See, I praise him when I feel like it. I praise him when I don't feel like it. I praise him when I'm up. I praise him when I'm down. I praise him when I've got money. I praise him when I'm broke. I give him praise because he says, I want to have it, the praises of my people. And when God shows up, everything has got to change. When God shows up, the enemy's got to back up. When God shows up, everything is going to be all right. I praise him because I'm coming out. I've been in this test long enough and I praise him because I know he's going to bring me out with victory. He's going to bring me out with a song. He's going to bring me out with dance. See, I learned through it all. Through it all, I've learned to trust in Jesus. I've learned to trust in God. Through it all. Through it all. Through all the tears, all the pain, all the heartache, all the storms, all the rain. I've learned that I can depend upon his word because you cannot separate God from his word. God is not a man that he shouldn't lie. Nor the son of man that he should repent. So remember, whatever you're facing, whatever you're going through, you can rejoice. You can celebrate him. You can worship him. You can give God praise him because you're not in this thing all by yourself. But God is. God is. He is. He is on your side. He's with you. He'll never leave you. He'll never forsake you. You've got the victory. God is on your side. God bless you.  Give God praise. He's worthy of our praise. What a wonderful, wonderful, encouraging message on this morning. God wants to assure us. The Lord has assured us that we're not defeated. There's an adversary of our soul who wants to cause us to feel sorry for ourselves because perhaps we've made a mistake. He's saying, you're defeated. You can't win. God is not on your side. But I want to encourage you. This wonderful message of the Ross Broad. He helped us to see that God is for us. And if God is for us, he's more than the whole world against us. God on our side is more than any adversary that we can come in contact with. The scripture said in the 16th verse, it talked about the Lord. The Lord said, I will be with thee. When God says, I will, it is done already. No matter what you've gone through or what is happening in your life, don't worry about it. It's going to turn around because God said, I will be with you. And we tried this and we tried that. It didn't seem to affect our outcome because we couldn't see far enough down the road. But I want to say, when you've tried everything and everything has failed, try Jesus. Jesus said, try me. He said, you just put your trust, put your faith in me and see won't I do it? Hallelujah. I suggest that you try Jesus. If you don't know Jesus in the part of your sin. If you've not been baptized in water in the name of Jesus or the remission or the removing of your sin, you need to try Jesus. Jesus made a promise that he can keep. We have people that promise us from time to time and with the best of intentions, they promise us and they can't follow through. But Jesus Christ the righteous. Jesus Christ who is the king of kings and the Lord of lords who holds all power in the palm of his hand. He said, I make a promise and I can stand behind it. I'll never fail you. You belong to me and I promise you. And so you know what comes to my mind is the song that says, my hope is built on nothing less. I don't have hope in anything in this world to give me victory. My hope is built on nothing less than Jesus blood. The blood that was shed at Calvary's cross for the remission of my sins, for the removing of my damnation. My hope was built on nothing less than Jesus blood and righteousness. I dare not trust the sweetest frame, but holy, holy, completely. I lean on the name of Jesus. There's power in the name. There's healing in the name. Salvation in the name of Jesus. You need to try Jesus. You need to try Jesus. Everything has failed. Try Jesus. When you try, you need to try him. You need to try and promise. And he will never fail to keep his promise. He'll turn your darkness in today. Come on, somebody. Yes, you've been in darkness, but the Lord said, I'll take your darkness away. I'll give you light. I'll give you eternal light. Lord, bless you and keep you. If you have the need for baptism, we invite you to come down to 4934 Long Beach Boulevard in the city of Long Beach. And there's a church called Shield of Faith. That's who we are. We're the shield of faith. And we have someone to baptize you in water for the remission, for the removal of your sins. And the Lord is here. I said he's here. He's here every Sunday. He's here every Monday. He's here every Tuesday, every day of the week. He's right here. The Lord is waiting, and he's waiting to fill you with a precious gift of the Holy Ghost. I said a precious gift. Not a white elephant. Not something that you don't want so you pass on to somebody to get it out of your hand. He's ready and willing. He wants to give you a precious gift. The precious gift of the Holy Ghost to abide in your heart. And to cause you to walk right before God. And so you can see his face in peace, in heaven, throughout all of eternity. Won't that be a great day? Great day when we walk among the saints in the presence of the Holy God throughout all of eternity. I want to see him. I want to see him too. Oh, I want to see him to look on his face. There to sing forever of his saving grace on the streets of glory. Let me lift my voice. Cares all past. Home at last. Ever. Ever to rejoice.  All right, at this time, come on, Deacons. We're going to receive our offering and tithes on today. Thank the Lord. Glad for each of you who are here. Whether you're here in person with us in the flesh on the parking lot, whether you're with us through the media, we welcome you and we thank the Lord for your presence with us. The Lord is going to bless you. We've heard from heaven today. Hallelujah. We yield ourselves to the word of God. The Lord will make the difference that we need. Come on and bring your offering at this time. While we're receiving the offering, I'll just have a few words. We're coming along very well with the update on our facility. And what I'll do is take this opportunity to thank those of you who have been faithful. You've stood by us in this pursuit. You've been faithful in your tithing, faithful in your offering giving, and this is a church that loves to give. I can tell. It's obvious. I thank God for that that you've done. We're going to be very, very comfortable. We're going to be very happy when it's time for us to go back into our facility at rededication. We're going to rededicate this facility to the Lord. And so I want to encourage you. Don't get discouraged at this point. Today the sun is not even shining on the parking lot. But when we get inside, it won't make any difference whether the sun is shining or not. Amen. And the Lord is helping us and you're going to be well pleased. I'm not kidding you. You're going to be well pleased when we get back inside of our facility that the Lord has blessed us with. So let's be encouraged. It's coming soon. We don't have a date yet, but it is really soon. All right.  Yes, sir. Give us something. Well, let me see. How is that? Is that it? It's failing me. We'll just close out with our usual determination song. I'm going to write it down. We're going to sing that next week. Amen. Because it came to me this morning and I didn't have a pencil. Okay. Amen. All right. I'm determined to walk with Jesus. Yes, I am. I'm determined to walk with Jesus. Jesus, yes, I am. manque of power, I'm determined to walk with Jesus. Yes, I am. Walk with me. Walk with me. I want to say as we have going to closing as you continue to keep First Lady of this church. Amen. Pastor Bobby in your prayer. Amen. She's doing well. She's doing very well. Praise God. The Lord is performing a miracle in her body. Amen. Praise Lord. And we thank God for it. Yes Lord. And we're gonna ask the Lord to raise her up so she can be back in service with us soon. Amen. Amen. Amen. Father in the name of Jesus we come. We thank you oh God for your tender mercy for your loving kindness unto us your people. We thank you oh God that you loved us with an everlasting love. Thank you because you called us unto yourself and Lord we thank you even more that we heard you when you call and we thank you that we gave our heart over to you. Oh Lord we ask you to continue to work in us. Continue to work on us oh God. Give us everything that we need as you have promised Lord and we trust you. We have faith in you and we believe it. We believe the true report that we've received on today that you're going to make the difference that we need. Go with us from this place oh God. Give us safety in our travels as we go to and fro in the city through the streets oh God. Thank you. Bring us back to your house at the appointed time with new victory. Hallelujah. With new victory. New victory. A new testimony of your saving grace. Yes. Oh God help us to be a witness unto you throughout all the community oh God. Yes. That men and women will come unto you and receive the salvation that is so free. Yes. We thank you and praise you right now. Thank you Lord. We give you glory and honor in Jesus name. Jesus name. Amen and amen.