DuPont presents the Cavalcade of America. The stories you will hear this evening in the Cavalcade of America presented by DuPont transport you from the year 1738 to the present day, and this wide gap of the years serves to illustrate how long the trait of self-reliance has been identified with American men and women. If you wish to meet a self-reliant American, you need not seek far. Go to any farm, any community or city, go into America's homes or factories or offices, or go into the chemical laboratories like those of DuPont where American chemists are constantly exercising the quality of self-reliance to create better things for better living through chemistry. The Cavalcade Orchestra plays a special arrangement of two well-known spirituals. Nobody knows the trouble I've seen, and sometimes I feel like a motherless child. When this continent was settled, womanhood had few traditions of true partnership with men, of sharing an equal burden in a country's progress. Tonight, we bring you two stories of self-reliant womanhood, the history of Eliza Lucas, beautiful and spirited daughter of the South, whose family settled in the colony of Carolina in 1738. Colonel Lucas, an English officer, has brought his family from the West Indies to the American colonies to improve his wife's delicate health, but hardly have they arrived when trouble descends. In the library of the Lucas Plantation, Colonel Lucas and his wife wait tensely as their eldest daughter Eliza returns from a ball.  I saw the lights as the carriage came up the drive. Mothered was the most delightful ball I ever attended. It's a court word and a waltz with Mr. Pinkney. Oh, you're pale, Mother.  No, no, Eliza, but we've had great news from London. Eliza, England and Spain are at war again. Oh, no. I can't believe the packet Nancy brought orders for your father's return to his regiment. Oh, you explained to Eliza George while I packed. Oh, Father, you can't go. I must go, child. What else can I do? But it may kill Mother, and you know you brought us to America solely to help her. Eliza, sit here by my desk, for we have but a short time for many decisions. Yes, Father. Tomorrow, Eliza, when I sail, you will become manager of this plantation. I? But it is unheard of. Why, I'm only a girl. Yes, but I had you educated like a boy. You know as much as I do about accounting and farming, and it's long been my boast that you'd ride at a five-barred gate before you'd sit down to embroider. But besides being a girl, I am quite young, sir. Yes, that's true. Eighteen. And if I had trouble, to whom would I turn for help? To yourself, child. There will be heavy problems to deal with. The lands are so mortgage that you may not be able to save them. But you will learn to meet troubles as they come. I'm sure of you, Eliza. I would, I was sure, but... Think quietly, Eliza. Now, suppose you were a man and 35. Yes. What would you do to save this plantation? A bold stroke is needed. Why? Why, I should plant indigo. Indigo? Why? Well, look at the wealth it's brought for the East Indies. And England has no colonies that ship her indigo. Aye, but that's a far-fetched scheme. Why, Father? A planter could be bought from the East Indies and a delicate seed could be shipped here, too. They say that Caroline Azuccio depends on her finding a good export. That's true enough. Well, you may plant your indigo, Eliza. Maybe you can do something with it. Thank you, Father. If you're brave enough to leave, I ought to be brave enough to remain here. And I'll take care of Mother and Polly and our land.  Eliza Lucas at 18 took up her duties as plantation manager. She spent her days directing the work on her father's land and her evenings teaching her young sister Polly and cheering her full-on mother. From the East Indies, she obtained indigo seeds and began her great experiment. Two years later, Eliza rides over to an indigo field on the Lucas Plantation where Smith, the head planter, is busily engaged. Whoa, whoa, there.  Now, ma'am... Wait, I'll dismount. Now, sir, a straight answer. Where are you or where are you not going to burn it? Miss Eliza, I've tried to tell you that the indigo is ruined. Well, good heavens, Smith. I can see that for myself, but there's still the seed. Well, you're surely not thinking of planting it a third year, Miss Eliza. Smith, I sent for you clear to the East Indies to help me. And yet, in our two years together, you've done nothing but bark and fork me. I have not met mischief, ma'am. I thought you were wasteful enough. You understand the culture of indigo. Don't you try to believe that my attempt to adapt it to this climate has some value? Can't you appreciate that I wouldn't give my strength and my labor, my every waking thought to my project if it were just the idle whim of an idle girl? Please, Smith. Aye, ma'am. Now I see what you mean. I used to feel that way about plants myself when I was younger. Hey, Sam. Why, what's he doing? He's fired the brush. Oh, wait, Miss, don't do the fire. Sam, Sam, put that out. Put that out. I'll help you. Here, wait. Oh, don't let it reach my plants. Oh, stamp on it, Sam, right here. Oh, get it out here. Oh, I'm getting it out here. Oh, my shawl. Wait a minute. I can beat it out with that, too. It nearly reached the indigo field.  But I think that's safe now, Sam. Mr. Salazar? Never take such a risk again. Then don't disobey my orders again. Oh, no, Miss.  You're near put a man to shame. Another year passed, and again the indigo failed. But Eliza had determined now to win success with it, and she carefully gathered the seeds. One day in the fields, she talks to her planter, Smith. We'll plow up this field tomorrow, Smith. Get it ready for next season's planning. Aye, Miss. Is not that Mr. Charles Pinkney of Belmont riding up our lane? Why, yes, so it is. I'll see what he wants, and you can do things here. Aye, Miss. Aye, Mr. Pinkney. Ah, good day to you, Miss Lewis. Good day, sir. I knew I should find you in the field. Easy boy now, easy. I've brought the books our lawyer wrote me for. Oh, thank you. Why, a young lady should want to read law. Well, I have many poor neighbors who can't afford lawyers there. When they're on their deathbeds, they wish to make their wills. It may be that I can do help to them. I'm glad you see your neighbors. In Charlestown, you become a legend. Miss Lewis, on her own estate, she had raised an indigo crop. Oh, you laugh at me, sir. I would gladly go to dances if it were not that a day in the field tires me so. How does your crop this year? Well, it's not yet fit for marketing. So I shall turn it to seed again. That's next year. Miss Lucas, it's not my right, but I must tell you something, as you hear it coldly from a stranger. It's bad news. Well, what is it, sir? Those creditors. They cannot be held off much longer. Oh. I see. Will they take the land this year? It's not decided. They might let you live here for some months yet, harvesting final crops. Oh, my dear child, don't look so. There's not a man in the colony who's not admired your gallant fight. Father, father will be so disappointed. Oh, not when he hears of your courage. You couldn't prevent it, Eliza. Mr. Pinckney, have you ever been interested in planting indigo at Belmont? I've watched your experiments with interest, but the seed costs too much to import. I'll give you the seed if you'll plant it. Well, I don't want you to give it to me. Indigo seed is expensive. Five guineas a bushel in London. No matter. Father would want me to do this. I know. You'll call a meeting of the neighboring planted and offer them my indigo seed, for its culture must be continued. Then why I think this plant will be of value to Carolina?  Oh, Mr. Pinckney, don't tell Mother and Polly that you fear we're bankrupt. I'll not burden them with that knowledge until I must. Pfizer felt that she had failed in her duty to her father. But word came that he would soon return to America. And she carefully put all to rights on the plantation, that he might see she had done her best. A few weeks later, as she returns from the field, her mother meets her in the garden. Eliza! Oh, yes, Mother. Oh, nothing's the matter, is it? Oh, it's excitement, dear. Word from your father. Mr. Pinckney, just brought it. He's in the parlor. I came to tell you. Does Father return, dear? He's not coming. Not coming? The king has appointed him governor of Antigua. We are to leave at once. We are to leave America? Eliza, dear, I feared this news would not be wholly welcome. You've grown closer to America than the rest of us. Yes, I... I can't imagine leaving it. Even to see your father again? Oh, yes. I want to see Father, but... Well, that too will be sad, for I must need to explain my failure. He's nonsense, Eliza. There's talk that the king will grant special bounties to all those growing indigo in this colony. So your failure is Carolina's new prosperity. Eliza, are you sure there's no special attraction for you in this place? Have you never thought of a husband? Well, it's inevitable I should think of one. But I've had no time... It seems one suitor has sought you out in the midst of your indigo growing. Mother. Eliza, Charles Pinkney has bespoken my permission to ask your hand in marriage. Marriage? Marriage, Charles Pinkney. Sometimes, think, Charles, you care so much for plants and flowers that you have not thought of people. I don't think at all right now. I know not how you regard him. Far fear your years of slaving have left you without a spark of romance. Romance, Mother. Oh, my feeling for Charles Pinkney is more than that. It's part of all I feel for Carolina. Then go to him, Eliza. He is at the house. You... you belong to him. And to America. Yes, Mother. I think I do. Eliza Lucas married Charles Pinkney and became, indeed, a blessing to her country. She grew hemp and flax and studied ways to make progress in cotton and wool weaving. As the mother of Charles and Thomas Pinkney, she inputs them in the course that made them leaders in the American Revolution. When she died, after a long and useful life, George Washington requested the honor of being a Hallburner, thus paying his tribute to an outstanding woman of colonial times. The fate of America presented by Dupont moves on. We bring you a modern story of a young woman similar to thousands of her sisters in unfaltering independent spirit. The names in this story are fictitious, but the facts are true. In a country school room in Colorado on a snowy morning, we find the teacher Helen Maitland and one of her pupils, young Bill Benson. Miss Maitland, I'm back. We'd like to kick the straw out of the booth. All right. Did you call your father? Yes, him. He's outside with the bus right now. Good thing, too. Snow's getting deep. That's what I was afraid of. I don't like just missing classes at noon, but I'll feel easier when the children are home. Maybe I'd better see if they're getting into their coat. Yes, and they are. I looked in the cloakroom. Well, tell the children then to go out. Will you, Bill? I'll bring these new clothes. Yes. Miss Maitland, I can't get my rubber on. Well, let's see, nanny. These aren't the right rubbers. That's the reason. They look like beddies. Miss Maitland, can I sit besides with the bus today? Betty, is this your rubber? Yes, it is. Well, here, put it on, child, and give nanny hers. Wrap your scarf around tightly. Are you ready now? Oh, they're too heavy, nanny. You open the door. Yes, ma'am. Yes, someday, Miss Maitland. Isn't it awful, Mr. Benson? All right, children, get in the bus. Can you get up the step, nanny? Yes, ma'am. Betty, you and nanny go back in the bus. Hello, Mr. Benson. Yeah, it's a good idea. Help me watch the road. You all sit back there now? Don't like this. You can't see a cinch. Yeah, it's a good thing you sent for me, Miss Maitland. I guess I never would have thought myself was coming around by noon. And we got a hard drive ahead. Dripped deep in the foothills of the Rocky Mountains, and cars braving the storms face a real struggle. 40 minutes later, as the school blows into a bad drift, it sounds like something broke. Are we stuck? Yeah, we'll see.  Take a look at the right front wheel. I'll get off, too. Jesus, kids, maybe we're stuck. Can you see what's happened, Mr. Benson? Yeah, sure can. We jammed right up against the low boulder and broke the front wheel. Oh, heavens, what can we do? Well, man, let's see.  No, no, Cleave's is nearest. Yeah, I'll have to walk there, Miss Maitland, and get help. Walk in the storm? Yeah, it's not going to be easy. But, uh, do you know what you'll be up against when you're left here with the kids? Yes, I know. When it's a question of last and something out, Miss Maitland, everything depends on the cool head. I'll try to keep one. My boy's in this bus, Miss Maitland, and all my neighbor's kids. So I'm going to get down this road and get back again. Listen, it's getting colder, so don't let them sit still. Turn the motor on now and then to keep them warm. I put a lot of faith in you, Miss Maitland. I'll get back as soon as I can. Good luck. Children! Where's Dad gone? He's going to get another car to take us home. Can't we go home right now, Miss Maitland? I'm cold. We won't be cold if we move about. We'll stay because we're going to have a game. Yes, ma'am. You two are monitors. You watch to see that no one runs out of sight in the snow. Not even for a moment. You keep circling around us. Now, everyone else is going to play tag. A fast game in a small circle. Yeah, tag! So beautiful that its dangers are hard to realize. But Helen Maitland, used to thinking ahead, knows what the storm may mean for her young charges. She watches their play closely, coaxes them to keep active and not worry. But the cold grows sharper. And an hour later... Nanny, why are you sitting on the ground? Get up, child! Get up, dear. We'll walk around till you feel better. Nanny. Is Nanny sick? She's only tired, Betty. Give me a handful of snow. Say, is Nanny fainted, Miss Maitland? Can I help you? Stop her again, Bill. You go and play with the others, dear. I want to... I want to go to sleep, too. I won't play tag. Oh, Betty, dear. Please, mind me. Go join the game.  Don't cry, please. I'll help you lift her, Miss Maitland. No, I have her. Bill, you get the bottle of milk. Listen, Dick, please, lunch bath. Can he never drink that? Hold open the door for me first. Why, right here on the seat? It's better for you to be cold.  Here's the milk, Miss Maitland. What's happened outside? Hey, it looks like Dick's trying to help Betty into the bus. Gosh, she's sick, too. Come here, Dick. Betty, now lie here. Don't cry. We'll take care of you. Dick, wait. You and Bill are my helpers now. Go outside and start a game. Don't even get too tired. Bring them in as quietly as you can. And don't frighten us. We'll do the best we can. Come on, Dick. Put your arms around Betty and lie close together. I'll give you my coat. All suddenly and early in western winters, into the stranded bus the children gradually huddled, trying to imitate the courage of their young leader. But two hours pass. Three hours. At seven that evening. See, Miss Maitland, we must be getting awful cold, no coat. This suit is heavy, Bill. Nanny needs the coat. She isn't crying anymore, is she? No. What's that? The motor's stopped. We're out of gas. It'll be soon, don't you worry. Children, you're much too quiet. Come on, now let's tell stories. I can't figure out what could have happened to Dad. Don't worry, Bill, he'll come. Listen.  Every time you say that, you get everybody excited. I do hear voices. I bet you I do. Maybe he does, Bill. Flash the headlights. Don't get excited, children. Maybe they haven't come yet, but they will. We've just got to be brave until we get home. Miss Maitland, are the children all right? Nanny's bad. Take her quickly. She'll go on the first sled. How's my father? He got through, Bill. One across bit in hand, but they think it's all right. Now, kids, come on, pile out, and the men will take you to the bobsled. We are men. Miss Maitland, put her coat on, Mr. Ross. Miss Maitland, what's the matter? I'm all right. I can't seem to move. Well, you're not going to faint now. It's relief, that's all. I don't want to go to pieces now. Wouldn't that be silly? When the motor stopped, I thought my heart had stopped too. I don't think that heart of yours stopped at any point, Miss Maitland. And there's a lot of mothers in this neighborhood who'll never quit thanking you for it. To Helen Maitland and to the men who helped her can be credited the lives of ten children. This tale of simple heroism in modern life is a tribute to the independence and self-reliance of men and women in the cavalcade of America. Many of our listeners may be familiar with the indigo plant because until about 1890, it was the only source of an important and valuable dye, indigo. Then the chemist discovered how to make this well-known blue dye stuff in the laboratory. Even before that time, however, America had ceased to be an important factor in the growing of the indigo plant because other crops such as cotton were found to pay better. Today, chemically made indigo is so much better and lower in cost that cultivation of the plants for dye is carried on to a very small extent, mostly in Bengal, India. The development of dyes has been one of the great achievements of chemistry and don't think for a minute that it stopped with the discovery of indigo. Research in DuPont laboratories is constantly being carried on to improve dye stuff and to develop new ones. The chemist has created a veritable rainbow of colors for the use and enjoyment of everyone. Today, you can obtain dyed or printed goods in a great variety of attractive designs which will hold their colors through repeated washing. One of the greatest contributions that chemists have made to color fastness is a class of dye stuff known as vat colors. These are the fastest colors known. Makers of shirting materials were among the first to recognize the advantage of using these vat dyes so the men in our radio audience should be quite as interested as the women. Colored shirts are growing in popularity every year. For the use of DuPont vat dyes makes it possible to produce shirt fabrics that keep their colors throughout the life of the garment. Many housewives when shopping ask for fabrics that are vat dyed because they've learned that such colors last as long as the fabrics. DuPont chemists have played an important part in creating and producing American dye stuff. Their work in this direction is one of the many ways in which DuPont fulfills their pledge. Better things for better living through chemistry. The artistic impulse, interesting dramatic episodes about famous American painters will be heard next week at the same time when DuPont again presents the Cavalcade of America with the Columbia Broadcasting System. The UABC, New York.


Good morning and welcome back to KubeCon, CloudNativeCon. As the latest coach here, I am deeply honored to extend my heartfelt gratitude to each and every one of you, the vibrant heartbeat of our ecosystem. And I want to take a moment to ask where we might be without the dedication, the feedback, and the contributions from our end users. It is their invaluable insights and passion and commitment to innovation that has helped shape our CloudNative journey and empowered us to push the boundaries of what is possible. So let's start the day by thanking our end user community for being a driving force behind the evolution of CNTF and for their continued support as we embark on this transformative journey together. Let's give them a big round of applause. And with that said, I would like to introduce our first speaker of the day, Head of Ecosystem and Chief Pond Officer Taylor Dolezal. Today, Taylor will take us on an accelerating journey through the CloudNative universe, delving into groundbreaking developments and remarkable achievements by end users. This keynote promises a celebration of innovation and collaboration and offering a sneak peek into the future of cloud computing. Please welcome to the stage Taylor Dolezal.


Hi, I'm Zor. Welcome to InDesert Education. Talking about scalar product of the vectors. In the beginning, in the theoretical lectures, I have introduced certain rules or principles or axioms, if you wish, about the properties of the scalar product which it's supposed to satisfy. There are natural rules like independence of the rotation of the system of coordinates, so it depends only on physical characteristics of vectors, their lengths and an angle between them. Commutative, distributive law, multiplication by null vector or multiplication by unit vectors by themselves. So these rules were sufficient to come up with certain formulas for scalar product. Now, in case of let's say two dimensional case, which is a little easier, so if you have two vectors with coordinates a1, a2 and b1, b2, then in the coordinate form, their scalar product, according to these rules, must actually be expressed as the formula like this in the coordinate form or geometrically speaking, it's expressed as the lengths of one vector times the lengths of another vector times cosine of an angle between them. So we have two representations which were derived from these rules which I was talking about. Now, the previous lecture which was like problems number one was about, okay, let's take the coordinate representation of this scalar product as given and then derive all the rules which we were talking about, independence of the rotation, commutative, distributive law, etc. Now I would like to do exactly the same with geometric representation. So let's consider that we have defined our scalar product as this lengths times length times times cosine of the angle between them. Can I derive all these very useful and nice properties which we were kind of put in the beginning as a foundation? Can I derive all these from the formula? So basically what I'm trying to do is to prove the necessity and sufficiency of the expressions in coordinate form or in geometric form for satisfaction of those rules. So rules and these formulas are in one-to-one correspondence, so to speak. They are necessary and sufficient condition for each other. So this lecture which is basically a problem number two lecture is prove that all these rules which we were talking about follow from the geometric expression of the scalar product. So let's just try to prove it. Okay, the rule number one, the scalar product should not depend on transformations of the coordinate system which preserve the metric of the system, which means lengths of segments are not changed and the angle between segments is not changed either. So it's like rotation, for instance, or reflection of the coordinate system relative to one of the axes, for instance. So, well, let's just look at this formula. It depends on the lengths of the vectors and the angle between them. And we just said that we are talking about transformations of the coordinate system which do not change it. So basically from the problem itself actually, from the conditions of the problem itself, this rule actually follows because it depends only on the lengths and the angles. So no matter how we rotate the coordinate system or reflected relative to some axes, the lengths of the vectors is not changed in these transformations and the angle between them not changed either. And by the way, considering this is a cosine which is an even function, it doesn't really matter, we count an angle from A to B or from B to A because all we are doing, we are changing the sine of the angle and the change of the sine doesn't change the value of the cosine because sine is an even function. So the rule number one is satisfied basically by definition of the transformation we are talking about. Now, rule number two is this. If I multiply a vector, any vector, by a null vector, null vector is the one which has lengths of zero, then I will get zero. Well, obviously, this B is a null vector, so the lengths of the B again by definition is zero, so this is the multiplication of lengths of the A which is something by zero and by cosine of the angle which doesn't really exist and it doesn't really matter because this is zero. So this is satisfied as well. Next is another simple case. If I will have two unit vectors, well, if I have one unit vector multiplied by itself, then result is supposed to be one. Well, again, it's very easy because the length is equal to one, this and this, and the cosine of the angle, if I'm talking about multiplication by itself, it means that I have two vectors which have directed in exactly the same direction, which means that the angle between them is zero and the cosine of zero is one. So we have one, one, and one, and that's why this product is equal to one. So that's true too. Next is associative law. Okay, I have to prove that if I will multiply one of the vectors which is a component of the scalar product by a constant, then it will be the same as multiplication of this constant by scalar product of these two vectors. Well, that's very easy to see because multiplication by a constant does not change the direction of the vector. It just makes it longer or shorter. It's stretching or shrinking, right? So the length is the only thing which is changed here. So what's the length of K times vector A? Well, the length is equal to... This is by definition of the multiplication... Actually, I have to put absolute value here. This is the definition of the multiplication of the vector by a constant. We were talking about when we were defining this that the direction remains the same and multiplication by constant is changing the length. The only little detail is that if the constant is negative, we change the direction to an opposite. But again, it doesn't change the absolute value of the length which remains to be exactly the same. Now, B is what it is. So on the left, I will have... On the left, I will have absolute value of K by A by B by cosine of phi. Now, speaking about cosine of phi, if K positive, then the direction between A and B remains exactly the same. So angle is exactly the same as it was before. Now, if direction is changed to the opposite, the angle... if this... what used to be A and B, and now this is A times K for K negative, then the angle is this one. Right? So the angle is changed to the opposite. The direction is changed to the opposite, so the angle is changed to 180 if this is phi. So this is 180 minus phi. Right? So as a result, my cosine is changing from the cosine of phi to cosine of 180 degree minus phi, which is... which is minus cosine of phi, as we know from the trigonometry. So for positive constant K, the left side is equal to... basically I have to put, instead of this angle, I have to put 180 minus phi. And for positive, it will be the same phi. So let me just have two cases here. So this is for K greater or equal to zero, and for K less than zero, I have the same thing, cosine... Well, I can actually immediately write minus here and cosine of phi here. So that's what this part is. Now let's talk about this part. Well, this is always absolute length of A times length of B times cosine of phi. And we multiply by K. So for positive K, for positive K, we have exactly the same, because the absolute value of K for positive K is K. For negative K, we have this, because this is exactly the same cosine of phi, right? So negative K would be equal to minus absolute value of K. So in both cases, positive K or negative K, we have exactly the same result. So that's why the left part is equal to the right part. And obviously, if I will multiply this vector, instead of A multiply B by K, it would also be exactly the same thing for exactly the same reasons. What I mean is this. It's equal to A... Well, I don't really need this parenthesis. A times KB. That's exactly the same thing, exactly the same logic but applied to the vector B should prove it. So that's about associative law relative to multiplication by constant. Okay, and the last one is a little bit more involved, is distributive law. So distributive law is this. This is a scalar product of some of two vectors by the third one, and these are two scalar products of these two vectors. Now, when we were talking in the previous lecture about the same distributive law in coordinate form, it was actually very easy to prove because the distributive law was actually... between the vectors in the scalar product was reduced to distributive law among numbers. And geometrically, it's a little bit more involved. So let's do it differently. And again, it's not really for, like, really proving this thing. It's more of a mental exercise because it's quite interesting if we can prove exactly the same thing but using a completely different approach, a geometric approach rather than algebra of coordinates. All right, so here is the drawing. My proof will probably depend quite significantly on the drawing. However, even in differently positioned vectors, the proof would be exactly the same thing. So I'll do it in this particular case. So let's say this is my angle B, my vector B. This is my vector A. And we need C, right? So this is C. This is my three vectors which are involved in this thing.  So this is a parallelogram. That's how we draw the sum of two vectors, right? You take this one, attach it to the end of this one, or draw a parallelogram. It doesn't really matter how we'll do it. And this is V equals to A plus B. Since we are talking about geometry, I need some angles, right? So let's say this is angle alpha, angle between A and B would be vector. And I will also use this angle gamma between the sum of A and B relative to A. Okay. Now, let me just wipe out everything from here. Let me know all this. And I will use that space for something. All right, so what I'm going to do is I would like to... Okay, let me just write again what I'm going to prove. To prove this, let me express the lengths of A and B in terms of the lengths of their sum and whatever the angles I have here. Now, I will use this triangle from here to here and to here and use the law of signs to basically express the lengths of all these components. Now, by the way, this is beta, so this is 180 degree minus beta, right? Now, I will use the same letters but without the bars on the top to express the lengths of these vectors, right? So I'm talking about lengths only. So V, which is this one, lengths of this vector, which is the sum of these two, divided by sine of this, V divided by sine of 180 minus beta. Now, sine of 180 minus something is the sine of that something, right? Again, we know this from trigonometry. Equals to... Now, this is A and this angle is equal to this angle, which is equal to beta minus gamma, right? So it's equal to A divided by sine of beta minus gamma and equals to B divided by... Now, this is B and this is gamma, so this is sine of gamma. So from this, we can say that A is equal to V times sine of beta minus gamma divided by sine of beta and B is equal to V times sine of gamma divided by sine of beta. Now, what do we have to prove, actually? We have to prove that V times C times cosine of alpha plus gamma, right? V is the length of this, C is the length of this and alpha plus gamma is the angle between them. We have to prove that this is equal to A C cosine... A C cosine of alpha, right? That's what this is. So, V C and cosine of alpha plus gamma is this one. V is the length of this, C is the length of this and cosine of alpha plus gamma is their angle. A C is this, A C and cosine of alpha between them. And B C is B C cosine of B C. It's alpha plus beta. That's what we have to prove. So what I'm going to do, I will substitute this and this into A and B here and I'll just try to prove this trigonometric equality. So we don't need this anymore. Again, I was saying that I would kind of depend on this particular drawing but you understand that if any other composition, there will be very similar considerations. So, if I will substitute, instead of A and B, I will substitute this. What I will do, well, first of all, I can obviously reduce by C and then V would be here and V would be here so I can reduce by V as well. So I will retain only the trigonometric functions. So cosine of alpha plus gamma equals, instead of A, I will put this. So the cosine of alpha will remain so it will be cosine of alpha times sine of beta minus gamma divided by sine beta. And here I will have cosine of alpha plus beta times sine gamma divided by sine beta. Or if I multiply by sine beta, I will get this and this would be sine of beta. So that's what I would like to prove. Now, I still remember sine and cosine of the sum of the difference between two angles so I will just open these parentheses and see what happens. Okay, sine of beta times cosine of sum. This is a cosine, cosine minus sine, sine. All right, so I will have cosine, cosine, and sine. All right, so cosine of alpha. I will put it in alphabetical order. Then sine of beta then cosine of gamma. Right? I'll give you these parentheses. Minus, because this is the minus, sine sine, right? So I will have three sines. Sine alpha, sine beta, sine gamma. That's what I have to prove that it's equal to this. All right, same thing. Cosine alpha, sine cosine minus cosine sine, right? So it's sine beta cosine gamma minus the same cosine alpha, cosine beta sine gamma. Plus this thing. Cosine cosine minus sine sine, right?  Now, if I did not make mistakes, it should all be somehow equal. Well, let's think about it. This is equal to this. That's true. Cosine sine cosine. Cosine sine cosine. This is equal to this.  Yeah, everything is fine. So basically this, a little bit more involved trigonometrically proves that all the rules, including this one actually, the distributive law are satisfied if we will give the definition of this color product only in geometric form. Length times length times cosine of the angle between them. So that actually completes this exercise of proving of the equivalence of giving these six rules, which I was actually starting with, and derived the coordinate and geometric representation of the vectors. Equivalence of an opposite approach. We can define the coordinate as a coordinate representation of this color product in the beginning and then we derive the rules as properties of this. Or if we define geometrically the color product of two vectors and then again we derive all the rules. So all these three logical systems, six rules, which seems to be quite a major role, definition in the coordinate form and definition in the geometric form, they're all equivalent to each other. From any one I can derive any others. I do suggest you to go to unison.com again to this particular lecture to problems too, it's called. And try to prove yourself exactly the same thing which I did here. I think it's a very useful exercise. And that probably would complete the theoretical part of this color product. There might be some other problems which I will add in the future, but basically this is the most important because it actually explains all the nuances of the definition of this color product and how the properties of this are. Well, that's it for today. Thank you very much and good luck.


Cardiac emergencies are usually very stressful and finding a reliable hospital in a moment of hurry is impossible. That's why Manipal Hospital Old Airport Road steps forward to aid complex heart procedures like TAVI, valve repairs, atrial fibrillation and more. Dr. Ranjan Shetty, HOD and consultant, interventional cardiology at Manipal Hospital's Old Airport Road. Doctor, we all love this winter weather, don't we? But I've heard there's also a serious health issue with heart attacks on the rise during these cold months. Why does this happen and how can we protect ourselves? There are many reasons for that. One of the main reasons is that cold could produce vasoponstriction and that could produce extra stress on the heart. So my advice to people is to be careful during this time. Keep yourself warm. Do not jog when the weather is very cold. Make sure you have adequate warm-up and cool-down. Dr. Devananda N.S., HOD and consultant, cardiothoracic vascular surgery at Manipal Hospital's Old Airport Road. Doctor, there's a lot of worries related to heart surgeries. People think heart surgery is always a major deal. But you don't always need open heart surgery, do you? In some cases, you can even insert stents and keep the heart strong. Angioplasty and stents do save lives in emergencies like heart attack as it is simpler and quicker than surgery. However, multiple stents to treat, multiple blocks not only increases the chances of reattacks but also necessitates repeat procedures like repeat angioplasty or bypass surgery. Dr. Sridharji, consultant, interventional cardiology at Manipal Hospital's Old Airport Road. You know, I always freeze in any emergency situation. But when it comes to medical emergencies, there's no option, right? So what advice would you give to all of us on how to act during a medical emergency, especially a heart attack? In a health emergency like a heart attack, it's first of all important not to panic and reassure yourself and others around you. Always keep emergency ambulance contact numbers handy and call for help immediately. Make a conscious patient chew a tablet of disprint or initiate chest compressions in an unconscious patient. Ensure the patient reaches the hospital at the earliest. For more information please call 1-800-102-5555 or log on to www.manipalhospitals.com


Hello welcome to another video. As some of you might know I was supposed to be up in Scotland at the moment but the weather did me dirty so I wasn't able to get up there and it sort of coincided with the anniversary, the six year anniversary of when me and one of my best friends Joey Dee traveled north of the wall to Scotland. We've both said prior to that that was probably top three trips of our lives and so what I wanted to do is to do a digitally remastered version for 2022 and bring both of them videos into one sort of like highlight reel video which is what I'm gonna show you. It's sort of like a boat it's not the weekly episode it's called a bonus episode and this video is kindly sponsored by Hello Fresh and which for those of you that don't know is a meal prep company that sends you you can go online you order the meals that you want they get delivered to your door it's all number coordinated to match the menus so you get your menu you've got all your goods in your brown paper bag all your ingredients says you're having to go to the shop or buying in bulk for one little thing if you need like a little bit of Moroccan seasoning you don't have to buy all the Moroccan seasoning you just get the perfect amount for the recipe and it just makes it just takes the pressure off your tea time cooking gets you cooking healthy and it really has ignited my love of following a recipe and getting back in the kitchen and just spending some time maybe with an audio book or a podcast on and cooking up some healthy delicious food and they've given me a promo code outdoor haze I think it is which I shall leave that's the code and there's the gubbins and I shall leave a link downstairs so go check that out cheers right now let's travel back in time six years and north of the wall we've become southern fairies because we are north of the wall Judy is in the living the life of Riley and his hammock Judy's just off to the river Joe quick slug it's around the seven 7.2 Joe he's saying he's just gonna pick a number at random yeah 9.9 you're out you sacked you're sacked you sacked he's lying for me I think if people gonna take the time to brew them I'm gonna take the time to review them and that's my new slogan I'll get on a t-shirt he likes it I was good one it yeah it's still laughing horrible me yeah I'm gonna look back at these videos and think why am I reviewing beers online what's happening got a successful business you know I'm sticking by my guns for me and for mainly for you mainly for me I like it I like doing beer reviews you didn't take that seriously and that's where they saw stem from Joe just 9.8 isn't right you had one sip but it's too ridiculous right ladies and gentlemen boys and girls I guess this is the end of the ill review section of his outdoors that's it section reviews it's hard ladies and gentlemen running in one shoe that's a metaphor I've just made up but it's it's apt Joe's my left shoe and I can't running just one shoe so if he's not getting behind the the beer reviews then I guess they're gonna fade away it's beautiful in a different way it's rugged rugged beauty we've got to stay positive it could just clear up and next thing you know we've got a fire going just bust out his banjo we get him on there you go that's the best 360 since I've played Tony Ox 3 on PlayStation 2 like a whiskey advert yeah so as we just see a herd of they were big dear man we're gonna sit here yeah it's drizzling and raining what we're gonna drink guinea's West Indies water cheers my friend selfie yes cheers oh like getting tea bagged by Mike Tyson yeah yeah he's having it you might be back on but he's back on board are you yeah hey we've got him with a jay quick one 8.2 it's raining 8.2 bearing in mind we've just seen a load of stags and the views amazing 8.2 do you agree or do you not care 9.9 he's doing it but he's doing it not right he's besmirching the name of the beer this is the last time that we'll see a beer review I think and fair enough I tried my hardest friend if there are any ill fans out there I'm sorry I feel I've let you down but this is the last ill review that will ever do so it's pretty much just relentlessly tanked it down all night long you don't get many of these to the pound tied it off with an acorn there stick there stick there ridgeline got my own little collection of water I was doing in the knockers looks like some of Tracy and me and spit out but it's where it's what I call home that's how we do we just need a little break in the weather and then we're going to make a break for the coast has anyone seen Teen Wolf Jesus all right Teen Wolf we've been driving and exploring all day and it's been tanking it down and we stumbled across this we've we've come good we've come lucky here it's not a bad spot to camp I've gone this time for the tent because I wanted that view look so I've looked for all you kit junkies in there out there just in it I mean a busy bag and me three season sleepy bag will blanket over me there you go jobs are good and I think we should have a beer to celebrate this monumental historical moment there's just a faint rainbow over an old castle over there and you pan around to the snow-capped mountains but I won't bore you with that because here we are for the penultimate ever ale trying session Jerry's his head's dropped shoulder he's laughing though so here we go vocation brewery oh yeah oh she's a lively one look the can gives it something else I've gone that wow it's almost like fruit salad like them fruit salad sweets you used to get like fruity but then a real hoppiness to the back of it what do you think for a six point three and the can gives it an extra like liveliness in the point five it's six point six point five I think that's very good as an IPA I'm giving that nine point four I agree with that there nine point four I think it's an excellent day there's an IPA right just like to say you like heavy hopping heavy hops with citrus and that you don't if you don't it's not for you but vocation brewery well done I know you knew to the game but keep this up you could become a firm favorite nine point four right then this is it the last ever beer review to somber moment let's have a go nothing nothing on it the story of this is they use elderflower bog myrtle not bog myrtle okay looking bog myrtle and various other plants that they get from Yorkshire says and then they bring it up to Scotland where they brew it and if you check it out online I think it's called summits what is it called it's called isotope is the collaboration between atom and doctor's orders if you want one you have to pay between 10 and 15 quid and it's 10% it smells like shit like bitumen have they seen me coming or is it genuine my word oh I smell that you don't be able to get away with having too many oh that is beautiful you like really beautiful yeah whoa that smells extraordinary the color is like a deep deep deep red we're gonna let the yeast settle in this that's exactly what I was gonna say let's give this a whirl smells like leathery smoky and don't drink if you're pregnant sir that's really good actually because it's not as 10% is I've had a lot of 10% beers that you just basically think yeah that's gonna get me pissed yeah that tastes stunning yeah yep stunning complex and the fact that it's 10% and you're drinking it like you would maybe a 4% or whatever it's not it's not you would drink that like a 4% that is a it's close to having like you know like a gulp from a really very good wine yeah like a Merlot like a rich rounded that's what the guy said all thinking things considered isotope by atom the last ever beer review on here's outdoors bracket it won't be come back at any time could re-feature close bracket PS might pop its head up for a testimonial like the next time every now and again like later on tonight but for now for now this is the last ever ill review on here's outdoors because they're a nightmare to film we just want to enjoy our beer he don't like it so we you know there's a compromise and we're not gonna do it he don't like right out to 10 out of 10 wow that's extraordinary that must be the last beer review he's giving it 10 out of 10 10 out of 10 for what it is it's 10% it's fucking amazing 10 out of 10 I'm only doing it because I'm saying that six last one and I haven't done a 10 yet comment down below if you enjoy if you enjoy the beer reviews he's shaking his head what about bad it's wrong what have I become what have I become nothing don't comment down below about the ill things explain oh yeah like if we weren't filming there's like yeah mountains and that mountains no on it castle over doing but we're doing beer reviews so they're good you've taught me into it you're gonna give me some of this isn't the end we'll be back no this is the end of the beer reviews right we're gonna enjoy this beer and look at the views on this one but the beer reviews a bit I know what you're giving it we've got to give it oh I don't know don't know don't it's too it's too you can still tell it's too strong to give it a high score it's got to be in it's in the night it's got nine points on it but I think on those points now about a second bit as it got those points because I spent so strong because you got talked into this party with so much money for it yeah maybe because it's expensive I'm wanting it to be it's stunning right it's stunning but and the good thing I suppose you would have to drink that decently big bottle you would never be smashing that in I'm gonna smash it in anyway so it's lovely taste it's a lovely taste it's a lovely nine nine is and you're not pissing about flat nine flat night I'll give it nine ladies and gentlemen I think throughout the review we're gonna call 2016 the year of the review and in the year of the review I don't think JD has given higher than a nine correct me if I'm wrong no because I don't want to say that that's my that's my favorite beer because it's not a long way the ones that we've had when we've been out this isn't it is it it's good doing it and all I got into a nine because I can see mountains while I'm drinking exactly you could be having a can of fosters right now and it would be a nine so this is I think what we've really learned in the last beer review ever is that beer reviews don't really mind matter do they they don't matter it's about where you are and what you're doing while you're drinking that beer very profound that's it and that's the best way to end on their beer reviews doesn't matter don't think for one second that we haven't that the perfect campsite doesn't have its own swing because someone's painted it all like red yellow and green same as on my axe and it's got a quote on the bottom by Yates by Yates and it makes me look like a dwarf so surreal is this surreal this is so really good it's going to stand on it it's gonna be slow it's gonna take a while now we do it you're doing it too early right here we go I'll tell you what it feels good yeah your little tiny dwarf on a massive sweet this is science me ready right three two one science no driver's science science wins that is the greatest ride like I man that was good man look at the size of these bad boys total thunder monkeys look at them and then we'll we'll deck all this out with waterproofs and wool blankets and whatever it's got a backrest we can get the grill on and if it if it if it tanks it down we can still cook our food put them in the embers and when they open up for a little bit they're cooked first supper we have rib ice steak roasted pepper and courgette what have we learned on this trip what it does or what it has done is reminded me that mother nature is the boss even you think you're the boss you're not our last mother nature is the boss and you have to come to rugged places like this to make you to reaffirm that makes you just it humbles me that's it epic that's another word for it epic look at the vistas well done Scotland perfect adios


So, let's do that same problem now, but instead of figuring out the molarity of the two ions, we'll figure out the equivalence per liter of the two ions, okay? So equivalence is the same thing as moles, but it's moles of charge, okay? So, if we think about, like, our ions here, right, when we say we've got one mole of sodium ions, that means we have one equivalent of charge, okay? Why? Because sodium only has one charge per ion, is that cool with everybody? So we say we have one equivalent of charge. Say we have one mole of phosphate ions, phosphate ions, we have three charges, okay? Three equivalence charges, you can further identify things if you want to, okay? But for right now, we're just wondering about equivalence altogether. Instead of the molarity of the two ions, what are the equivalence of charge of those two ions? So, in this case, concentration of those things, but the equivalence of charge of sodium, right, and the equivalence of the charge of phosphate. And we still use this, we still use this, and we still, and now we need to use this too, okay? But are you okay? Can you see the step, step, step, okay? So, to figure out the equivalence of sodium ions, we have to figure, we have to know the concentration of sodium phosphate to begin with. We know that one mole of sodium phosphate here of solution. We also know the number of moles of sodium phosphate to the number of moles of sodium ions that was given to us from the reaction equation that you had to figure out. All of this was based on you knowing the charge of this phosphate on it, okay? So, remember that. Okay? So, just another conversion factor, on the bottom, what's going to be on the bottom? One mole of sodium phosphate, right, and on the top, three moles, no, we still will need one more step, right? So, for every, I'm kind of getting into that, but, so for every one equivalent of charge, one mole can handle with that, right now. We get these units now that are equivalents of charge per liter. Do you guys see that? Okay? And then we just do one times three times one, which is three divided by one. So, this equals three equivalents per liter. Okay? So, that's the way to say that. And if you want to even further emphasize that, okay, it's the same thing, okay? It's what we've done here because I don't have very much room on this board, okay? You guys can watch the video. Equivalents of sodium, we're going to do equivalents of phosphate. And we have to start with the same concentration, right? We'll write it again. We'll do the whole step by step by step again. Okay? And remember, so we're looking for equivalents of charge, so we've got to get there. But we've got to start here. One mole of phosphate, liter of solution, right, multiply that by the conversion factor because we're looking for, eventually, equivalents of charge from the phosphate amount. So, we don't have that other conversion factor up here. What is it? One mole. So, we just got to do it one more time because we've got the conversion factor that changes one to the other and it's also going to be what? That makes sense, hopefully, in three equivalents per liter you want to think about. It makes sense because the charges always have to balance, right? But you knew that all the way from, are there any questions on this stuff? Okay, so the next step is, you know, just keep going to the next step, you know, like molarity, molality or whatever, you know? So, you just got to keep finding these step by step by step things, you know, in order to convert one to the other. So, you just got to keep remembering, you know, this step will convert this to this and not this to this. Okay?


The study found that commercially produced complementary foods, CPCF, finger food slash snacks available in seven Southeast Asian countries often contain added sugars, excessive sodium content, and high total sugar content, making them unsuitable for older infants and young children. The study used a nutrient profiling model to determine the proportion of products suitable for promotion and found that over 85% failed to meet all requirements, with concerning labeling practices as well. The findings highlight the need for national binding legal measures, such as mandatory standards for composition and labeling, to address these major concerns. This article was authored by Alissa M. Price, Eleonora Busetti, Jessica M. White, and others.


Welcome to the FACE CTS Learning Series, Chapter 3, The CTS User Interface, Video 2, CTS Graphical User Interface Overview. In this video, we will introduce the CTS's testing methodology, the theory of toolchain and project configuration files, demonstrate the importation of existing toolchain and project configuration files, and explain the UOC testing workflow within the CTS. In Chapter 1, we introduced project and toolchain configuration files, or PCFGs and TCFGs, respectively. A toolchain configuration file allows the user to define a target environment for a UOC to be tested against. The contents of a toolchain configuration file are configuration options for the CTS to interpret the user's target environment. The contents of a project configuration file are configuration options for the CTS to interpret the user's UOC-specific options. The project configuration file relies on a valid toolchain configuration file. If the target environment is not valid, then the UOC-specific options cannot be tested. A valid toolchain is required to be included when creating a project configuration file. Thus, the UOC testing workflow starts at defining a valid toolchain configuration, then defining a valid project configuration, and then testing the UOC for face conformance, which produces a face conformance test report. This workflow, and graphical user interface, is identical in CentOS 7 and Windows 10. For the purpose of this and all subsequent videos, we will be demonstrating the CTS on CentOS 7. All steps may be replicated on Windows 10, unless otherwise noted. When the CTS is launched, the home screen is shown with the title reflecting the version of the face technical standard it supports. The home screen allows for quick access to recently opened projects on the left. Since this is our first time launching the CTS, we do not have any recent projects to show. When we open a project configuration file, this list will populate with a history of projects that have been opened. On the right, a list of quick start options is included for our convenience. From here, we can directly run a conformance test, start a new project and toolchain configuration, access the preferences menu, and access the CTS's documentation. On the top right, the home button allows the user to return to this interface when clicked. Finally, the home screen allows the user to select the File, Run, and Help menu in the navigation bar. The navigation bar is able to be used throughout the CTS. The File menu allows us to select projects and toolchains as well as access the preference menu and terminate the CTS. The Run menu allows us to select Run Conformance Test, which brings us to the Run Conformance Test interface of the CTS. To use this interface, we must have a valid toolchain and project configuration file. The Help menu contains an option for showing more information about the CTS. Let's first look at the toolchain file list by selecting File, Toolchains. The CTS has the ability to store multiple separate toolchain configuration files, and the toolchain files list is where they would be shown. Because we started the CTS for the first time, the toolchain files list is empty. The toolchain files list has a number of options at the top of the interface, including the ability to create a new toolchain, import an existing toolchain, open an existing toolchain from the list, clone an existing toolchain from the list, and remove a toolchain from the list. The toolchain files directory is where toolchains are stored and read by the CTS. This is distinctly different from where the toolchains are initially read from your file system. When a toolchain is imported, the CTS reads the toolchain and saves a copy in the aforementioned toolchain files directory. This is important to note, especially if changes are made to the originally read toolchain configuration file in, say, a text editor. Because the CTS has made a copy of the original file, those changes will not be reflected in the CTS. The importation of a project configuration file, as we will see, abides by the same principle. Let's explore further by creating a new toolchain configuration file by clicking on New. This brings us to the toolchain configuration builder. The toolchain configuration builder is where the user defines all required options to make a valid toolchain configuration file. Each of these options are broken up into multiple subsections. General, File Extensions, Tools, Compiler Specific, and Notes. Each of the options in each of the subsections will be detailed in later videos in this chapter. For now, it is important to know the toolchain configuration builder is where the user defines the options for the toolchain. We are not going to save this toolchain configuration file, but we could by selecting Save As and entering a valid toolchain file name. Instead, we will select the Back button. Similarly, it is possible to import a toolchain configuration file by selecting Import and providing the path to the toolchain configuration file. The toolchain configuration file builder will be automatically loaded with the options contained in the provided file. By selecting the Home icon, we return to the Home screen. Next, select File, Projects to bring us to the Project Files list. The CTS can store multiple separate project configuration files, and the Project Files list is where they would be shown. Because we started the CTS for the first time, the Project Files list is empty. The Project Files list contains information for creating a new project configuration file and importation of existing project configuration files. When a project configuration file is loaded in the project configuration file list, clicking on the project configuration file will enable the Open, Remove, Clone, and Test Project buttons. The Open button opens the project configuration builder, similar to toolchain files. The Remove button removes the project from the project configuration list. The Clone button creates a copy of the project configuration file. The Test Project button forgoes the project configuration builder and immediately directs the user to the Run Conformance Test interface. The project configuration is automatically tested using the options selected in the project configuration file. Let's make a new project configuration file by clicking on the New button. Let's name our project the default untitled project.pcfg and save it in the default location. In my case, it's Home, CTS User, CTS Projects. You may save it in a different location if desired, but we will save it in a default location. Similar to the toolchain configuration builder, the project configuration builder contains several subsections for defining UOC-specific options, including General, Data Model, Gold Standard Libraries, Objects Libraries, Notes, and Project Info. Detailed information about each of these configuration options in each of the subsections will be covered in subsequent videos. For now, it is important to note a few key buttons at the top of the project configuration builder. The Save button saves the project when there is a change to the project configuration options. The Save As button allows the user to specify the name and location of the project configuration file to be saved. On the right, the green arrow is the Test UOC Conformance button. This button will initiate the CTS's test for UOC conformance after the project and toolchain configuration files are deemed valid. The button to the right of the arrow is the Test Data Model Conformance button. This button only initiates the Data Model Conformance testing that the CTS provides. It should be noted that the Test UOC Conformance button also tests the Data Model, as it is a step for testing for UOC conformance. The buttons that were not explained will be explained in detail in subsequent videos. Pressing on the Back button returns us to the Project Files list. Our newly created project configuration file is now shown with the file's name, UOC Segment Type, language the UOC is targeting, face profile that the UOC is targeting, the last modified date, and any notes we added in the project configuration builder. When we left-click on it, the Open, Remove, Clone, and Test Project buttons are now interactable. Either clicking on the Open button or double-clicking on the project configuration file will reopen the project configuration builder. Similarly, it is possible to import a project configuration file by selecting Import and providing the path to the project configuration file. The project configuration file builder will be automatically loaded with the options contained in the provided file. Thank you for watching. This concludes the overview of the CTS workflow and introduction to the CTS GUI. In the next video, entitled Toolchain Configuration, we will explain the options contained in the Toolchain Configuration Builder in detail.


It's time for a member's statements, the member from Elgin Middlesex Library. We need to highlight the STEAM Center that is located in St. Thomas. STEAM is an acronym that stands for Science, Technology, Engineering, Art and Math. The mission of the STEAM Center is to empower all learners and makers to create the future through play, ingenuity and exploration using the science and math tools they have acquired. The center delivers a comprehensive educational model focused on developing the creativity and problem solving that is necessary to explore ideas and foster growth. The STEAM Center creates innovative curriculums for teachers and provides workshops for all ages and learners. They also provide a collaborative space where the public can access 3D printing, computer numerical controls and other STEAM tools to work on projects and activities. The center has countless programs for youth, adults and educators. There's a variety of workshops for you such as day camps, summer camps, kids coding, kid roboteers, 3D printing and design classes, team video game coding and design. But the learning doesn't stop there. They also offer a variety of workshops for adults as well. With the increasing number, need for science, math and technology skills across the province today, the STEAM Center is a terrific asset to our community. Thanks to the partnership with the Thames Valley District School Board, the City of St. Thomas and the Dorothy Palmer Estate, which has given millions of dollars throughout our community, St. Thomas Elgin is proud to call this Education Center home. Thank you very much. Thank you for your members. Steve, it's the member from London West. Thank you, Speaker. On October 19th, 2016, the Minister of Health was asked why the people of London must wait longer for orthopedic surgery than other Ontarians. He said, I am working with the Southwest Lynn and the hospitals involved in the London area, and I expect in the very near future we will have arrived at a solution. Well, Speaker, five months later, wait times in London are still unacceptably long. My office continues to be inundated with complaints from people who are waiting months and even years for surgery. The Ministry's own wait times website shows that Londoners wait 35% longer than the provincial average, and that's after their initial consultation, which often takes months to secure. Speaker, it is clear that wait times in London are not a priority for this government. Underfunding and arbitrary caps on the number of surgeries that can be performed has resulted in specialists closing their offices, even as hospital operating rooms sit empty. Speaker, we are at a critical moment, and if the Minister will not take action, I will. Earlier this year, I wrote to the patient Ombudsman to urge an investigation by her office, presenting her with a long list of examples of Londoners who are suffering. Whether she investigates or not, you can be sure that I will continue to raise this issue in the legislature. My constituents deserve more than empty promises. They deserve real solutions. Thank you. Thank you, Mr. Speaker. Last week, I had the pleasure of attending the Multicultural Canadian Fair and Trade Show 2017, organized by the Young Professional and Skilled Workers Association in Etobicoke Lakeshore. This is a not-for-profit community-based organization, South Etobicoke, which offers young professionals from different ethnic communities and skilled workers and apprentices throughout the GTA opportunities to network, socialize, and expand their professional horizons. The sold-out Canadian Fair and Trade Show brought together culture, arts, and various ethnic organizations and businesses for a day of networking and understanding. The Fair also celebrated the contributions of multicultural leaders and their organizations towards the success of a diverse social and business environment here in Ontario. I enjoyed meeting a variety of the exhibitors from Humber College to the various international chambers of commerce and local businesses. And I also had the opportunity to participate in a panel discussion focusing on the best practices for how business could engage with different levels of government. Mr. Speaker, a trade show is one of the best ways to highlight various organizations and groups and stimulate networking among them. And the goals of this particular event were to improve networking, especially among multicultural groups, and ensure that there's more business opportunities for all Ontarians. Mr. Speaker, I want to congratulate the members of the Young Professional and Skilled Workers Association for organizing such a successful event. And I look forward to their event in 2018. Thank you for the member statements and members from Sarnia Lampton. Thank you, Mr. Speaker. One of the seminal moments in the history of our great province was the creation of the provincial college system in 1965 by the Progressive Conservative Government and then Minister of Education, the Honourable William G. Davis. As a result, on April 5th, 2017, Lampton College, in my writing of Sarnia Lampton, will celebrate its 50th anniversary. Established in 1966 and the second-oldest college in Ontario, Lampton College began with just four programs and 54 students at the original Blue Water campus. Today, Lampton College offers more than 90 diploma, certificate, and degree programs and is globally recognized as a post-secondary leader in education, training, and research. In fact, Lampton College was recently named the top research college in Ontario by research info and ink. In honour of its sesquic- semi-centennial anniversary, Lampton College will be hosting the President's Gala on May 13th in Sarnia. Among the guests that evening will be keynote speaker, Canadian funnyman, Rick Mercer, and the Honourable William G. Davis, former Premier and Minister of Education for the province of Ontario. Mr. Davis actually laid the cornerstone of the college's main building and an event in 1970. It will be a special moment for Lampton College and one I look forward to celebrating with them. I look forward to the celebration to all the staff and students of Lampton College on your golden anniversary. There's no doubt in my mind this anniversary is just the start of something amazing. Thank you. Thank you, Mr. Speaker. The reality is in this province far too many workers are forced to work through temporary job agencies. They cannot find permanent employment in this province. And the problem isn't that a temporary job agency connects workers with employment. The problem is that people working through these temporary agencies are often seeing their salaries clawed back and as much as 40% of their salary is clawed back by the temporary agency. Mr. Speaker, this is simply unfair. On top of that, workers that work through a temporary job agency do not receive benefits. This is unacceptable. This Liberal government has known about this problem for years, for over a decade they've allowed this problem to not only continue but to flourish. It's inevitable that people working beside a fellow colleague do not receive equal pay for equal work. That's why we're calling on this government. That's why I'm calling on this government to ensure that this policy, this practice that is so hurtful does not continue. We need to ensure that we have a province where workers receive equal pay for equal work. If you're working through a temporary job agency you should not see any of your pay clawed back. In addition, you should receive full benefits. That is a minimum. That is a requirement that we should have in this province. I call on this government to implement a policy to ensure that people receive the fairness that they deserve. Thank you very much. Thank you. It's the member from Brampton Springdale. Thank you, Mr. Speaker. Over the course of this weekend I had the opportunity to talk to many of my neighbors and friends in Brampton Springdale and they're all so excited about the new electricity bills, the reduction in the summer of 25%. Many small businesses will benefit from this cut as the Fair Hydro Plan has been announced by Premier Nguyen and Minister Tipo this week. This bill's won't increase beyond the rate of inflation at least for four years. We're bringing hydro rates down by 25% and fixing the system structure. It's better for Ontarians, it's better for Ontario, and it's more fair for families. Since the announcement last week residents from other parts of the region appeal at the events that they attended all wanted to discuss this great new reduction and they're looking forward to seeing this reduction on their bills. We all understand that electricity is a necessity and that's why we're working to make it more fair and affordable for Ontarians. By fixing problems in the system we'll be able to provide every residential customer in Ontario with an average of 25% off their bill. People who live in eligible rural communities and those with low incomes will see even more reductions in their electricity bills. Now available to more low-income electricity consumers are able to apply online to receive $360 to $425 off per year on their bills through OESP. Taken together these changes will deliver the single largest reduction to electricity rates in Ontario's history. All residents are able to find out how much they will save on your monthly electricity bill and learn more about programs and tax credits to help lower your bills. Thank you Mr. Speaker. Further member Siemens, the member from Ontario has a question. Today we celebrate the 183rd anniversary of the incorporation of the City of Toronto. Of course Toronto is a little bit older than that. The Wyandotte people were perhaps the first to live in the area of Toronto. They had a settlement upon the banks of the Humber River. In 1750 the French established a trading post on the site of what are now the exhibition grounds in Toronto. Not long after that French North America was conquered by the British and the site of Toronto became the capital of the province of Upper Canada. Since then Toronto has always had an important role in Canadian history. Toronto welcomed the loyalists fleeing persecution after the American Revolution. Toronto survived the war of 1812. The rebellion of 1837 failed to shake Canadians attachment to the crown. And Sir John A. McDonough vision of a trans-continental parliamentary monarchy was first developed in Toronto. When the writer Charles Dickens toured British North America in the 1840s he found Toronto a vibrant and exciting place. Now at the beginning of the 21st century Toronto is one of the most populous and dynamic cities in North America. Here's to many more centuries of greatness and happy birthday to Toronto. Thank you. Thank you Speaker. A few months ago Pat Gwynn approached me with a wonderful and creative idea to help celebrate our nation's 150th birthday. These artists created an exhibit entitled Our Canada an impressive piece which dominates every wall it occupies. The mosaic consists of 16 12 by 12 inch paintings. Each tile tells its own story about a specific person or landscape. When viewed together the piece conveys a moving statement about the journey of our great nation one of the inspirational people seen in the mosaic is Terry Fox. There's a special local connection to Terry. 37 years ago he made his way through Barry on his marathon of hope to raise funds for cancer research. On October the 13th 1980 our city became the first in the nation to host the Terry Fox run in his memory and encourage other cities to do so. Other paintings in the mosaic recognize Nellie McClung, Roberta Bondar and lines from John McRae's poem in Flanders Fields. After being showcased from spring water all the way to Milton I am fortunate to have the Bayside artist hang this beautiful mosaic in my constituency office for the month of March. I would like to invite all members to visit my office in Barry to see this magnificent piece of art and to celebrate Ontario 150 with Team Hogarth. Congratulations to the Bayside artist on a tribute to Canada's history. Thank you for the member's statements. The member from Paul Lamarville. Ontario's tobacco growers are fed up with government's mismanagement of the industry. In 2015 the interior government took over former tobacco board licensing duties and today Ministry of Finance has the authority to directly hand out licenses to growers and buyers rather than the board acting as the agent. Ministry of Finance has the authority to hand out licenses and inspections. As a result growers feel like criminals because this is a government strategy on illegal tobacco and they do ask Ministry of Finance and the Premier to stop picking the low hanging fruit. Majority of tobacco farmers they are hard working law abiding citizens they want to be left alone to farm. Prior to Christmas many growers were hit due to the lack of marketing and without details this government would know those fines were unjust. A few weeks ago Ministry of Finance held an information session with growers meeting was long overdue. They expressed to the ministry that making up rules on the fly and that those rules change depending on who shows up to inspect their farm. Tobacco growers they are not bureaucrats they are not criminals and government has allowed contraband to spire out of control and it's up to all of us to identify illegal tobacco as a problem and to fix it. Thank you. Thank all members for their statements. It is there for now time for reports by committees.