Dude, there's like a seed, that's like the strawberry seed. Yo, what's going on everybody? Welcome to another grocery store, deadly food court episode of Fong Bro's food. Today, we have the epitome of bougie-ness. In front of us, we have a spread from probably one of the more expensive, but very popular national chains, and we are talking about Whole Foods. I would say that Whole Foods is the most expensive national chain on supermarket. It's actually a multinational chain now, and it is kind of expensive. Now probably has zero exposure to it. Zero! Have you ever stepped foot into one of these stores without us before? Yes, I have. Whole Foods hot bar, let's go! So quick, I want to tell you about the sponsor, BombFeld, an app. You fill in your information, your height and everything like that, and then you connect with an actual stylist, a real person, who will get an expert, who will help you pick out clothes. So after your stylist has picked out some pieces, you'll get an email, right? And then they'll say, hey, do you guys like these pieces? Do you like these pieces?  I'll try them on. And that is what we're wearing right now. We are wearing BombFeld. So you know what I like about the clothes from BombFeld? It's not just clothes that you find anywhere. Guess what, guys? I want to tell you more, but watch the rest of this video. But if you are interested in BombFeld, go to bombfeld.com. That's B-O-M-B-F-E-L-L.com. And you will get $25 off of your first BombFeld order. So, watch the rest of this video, and we'll see you in a minute. Peace. Okay, so we are going to hit you with the hot bar section. The hot bar, if you guys don't know, it kind of looks like a buffet when you walk up. Okay, it's measured by the pound, 8.99 per pound here at this Whole Foods, no matter what you get. So, we're going to start off with the fried chicken. I would say at 8.99, I like it because it allows you to get a variety quickly. Whole Foods fried chicken from the hot bar. Let's go. It's almost like a, would you agree, it almost tastes like a partially roasted. Yeah, like a roasted. All right, so what's the rating, man? Out of five. Three out of five. Okay. How do you make the Thai meat taste like breast meat? No, 2.5.  I was just a solid chicken. I'm a 3.5. You know what I see happen is that the batter is not very thick and batter really locks in oil and juices. We have the regular roasted chicken. Still from the hot bar. Big chicken. Whole Foods is lightly seasoning their chicken here. It's dry. It's uncooked. What? Oh. I knew it. I knew it. I saw it underneath the skin. I was like, yo, that's too pink for me. Hold on. Hold on. We got to examine this. I got a 2.5 out of five. Kind of have the same look of a smoked turkey leg, but it's not like smoked though. Yeah. I'm giving it a 2.5 out of five. It's definitely lower than the fried chicken. 1.5. It don't taste good. The quality not good. All right. Let's go to the Thai chicken, man. Drumstick. Drummy. Oh, this looks flavor. Thai chicken from the hot bar. Oh, that's not fair to compare. This is better. This is better. Flavor wise is better, but I still think the quality of the meat is just too consecutive drumsticks that I ate that's dry. I almost got downgraded to three. In its form. I gave the fried chicken a three. I have to give this a 3.5. 2.5. I still think the fried chicken is the best thing. Here are some tacos. Here are some tacos. They got a taco bar. David made some tacos for us. I made them. Wow. If anybody has any qualms with 20 tacos were made. You know who to come see. Here, David. Here's some chicken that fell out. Whole Foods Taco Bar. I think if it was fresh, I would give it a four. But in the form that it was in, I give it a 3. I give it a three. Average 3.5 out of five. Here we have the pastas. The cheesy pasta. The cheesy pasta. The cheesy pasta. The cheesy pasta. The cheesy pasta. The cheesy pasta. The cheesy pasta. The pasta. The pasta.  I love the amount of ricotta in it. Big Ziti in the whole food world. Dude, we didn't even give it a rating I give it a 2.75 What I give it a 2.5 2.5 the real deal mac and cheese man I'm excited. I have very high expectations for this mac and cheese I wanna love it. I do not want to say I love it to me First deli that we reviewed Where the flavor and the quality were so misaligned. Yeah, all of these there You can't even tell what which ones the mac and which ones the cheese. This is a big Yeah It's going to give you high quality stuff that makes you feel clean when you eat it But flavor is not the number one priority mac and yeas mac and yeas This is way better than the other two. I give it a four. This is getting a four No, how 3.5. Okay. It is the best out of the mac. Nothing too crazy. All right vegan chili a little kick at the end ah It doesn't taste bad. It almost had more of a minestrone vibe to it. Yeah 3.5 3.5. Yeah, looks like Whole Foods vegan stuff is really stepping up to the plate. Now. What do you say vegetable? Just like man 3.5 Veggies you said that Guys, we got green beans the bang Just take a couple beans. Yeah. Well, I like how they have mushrooms in with the green beans I like mushrooms. Did you know they call these Chinese green beans? It does have some Asian flavor. I like it Good 3.5 just to just I'm gonna keep myself from going OD 3.5 just for the mushroom in just for that fact Whole Foods get to 4. Whole Foods samosas. Let's rip this open for you. That looks good. That looks flavorful I give it a four Because it tastes like it has meat. Yeah, there's no meat in it. I just hurry Whole Foods does Indian food good or at least it's tasty I give it a 4. I give it a 4.5 out of 5. Wow Stop like the best thing I ate today for real for Rizzles, this is a double stuffed potato. So this is mashed potatoes. That's a mixture squeezed Onto a regular plain potato Yeah, I saw juicy, bro, but not in a good way I give it up give it a 2 go ahead and throw out a 1.5 on it give it a solid 2 $8 per pound. We got four sausages Not that good. Oh, man, where's the salt? Well, you give it kind of as a weird one to one out of five, bro That's extra. I can't taste I give it a one. Let's say this crap Banished the smoked sausage take it away Exile we have the green dream cucumber celery kale lemon dandelion greens Spinach and parsley a like this one because of the kale We've got another round because we're comparing it to the blueprint organic kale it up Romaine apple celery cucumber kale lemon spinach parsley and ginger. So I would say comparable ingredients Yeah, correct 6% less sugar. Wow It's much tastier here, but I prefer the whole foods one because of the dandelion greens for $8.99 per pound We have the buffalo chicken wings meatball first. What's it?  Chicken. Keen. Yeah, Keen Okay, it's cold. I give this a 2.5 out of five because I really like the sauce. I like the teriyaki You know what you write you right? I really like the sauce 2.5 2.5 under the buffalo wing They use really lean chickens. Yeah, it's a solid chicken. Mmm the roll with them solid Three point five out of five. Yeah, I can see three three one five like sweet chili chicken wings big chili chicken wings Give them both a solid 3.5.  I have rosemary potatoes 8.99 per pound I have roasted Brussels sprouts with pomegranate and pumpkin seed 1099 per pound. We have the Greek auras salad 1099 oh smoke mozzarella pasta salad 1099 Okay, and then you have the broccoli salad 1299 whopping 1299 899 for the classic coleslaw. All right, go with the potatoes small potatoes So good Honestly, I love Brussels sprouts Five Smoke mozzarella pasta That's an explosion of flavor right now. Whoa. That's a kick though. That's what I'm saying Is that the first thing that kicked you today right off the bat 3.5 Orzo got a lot of different stuff in it Orzo is a pasta that is shaped to look like rice. That is crazy I did not know that or so easy to eat give it a three out of five very solid four. Wow Three out of five. I think I enjoyed it. I like the cheese in it though. I think it's law is Extremely expensive 1299. There's like fish.  All right guys move on to the coleslaw cabajé. It's a cabajé No, it's like soap don't want to say it's soap, but it is definitely One point five one five one five look like a bitterness now. Whoa, you guys this Sonoma chicken salad Did you're supposed to put in sandwiches guess how much it is? 1499 1499. I was just gonna say that 15 bucks Barberry coconut kale salad 1299 and what we have here beat latke. Yeah, I saw that it's a latke Which is a hash brown Jewish potato pancake, but this is made out of beat You know what it is from a far David. I was like, did you get a raw beef patty probably people use it as such lots of red in there a Lot of beats. Oh, I think the flavor is there It's like a half inside like a hash brown. It does not taste like a hash brown or feels like a hash brown It has to feel like a hash brown because it has potato in it. It has to I got to give it a 2.5 out of 5 Not bad though. Not bad. Just not great. We got tuna classic tuna salad Oh my gosh, the strawberry pieces in this kale salad are humongous. I'm a big fan of kale David. Will this kale fail? Not bad $15 worth. Oh, I'm not sure. We'll give it a four. I agree. I'm gonna give it a 3.5 A knock because it's $15 worth tuna You want to talk about tasting homemade to me that tastes homemade, but that tuna salad Surprisingly stayed chili for a long time. You could eat that on Bread sandwiches, whatever you want all types of carbohydrates tuna in general. I got to give it a four. Yeah, but I don't really like Tuna that much. You're more of a tuna guy that I like tuna. I give it a four I give 3.5 kale strawberry that is 70% of an actual strawberry That's like the strawberry seed Okay, I was kind of dry fells a little dry, but 3.5. I Give it a four out of five. I don't really like kale 3.5 3.5 now in Valley sparkling spring boom Mountain Valley for real Mountain men For you to cut the cut logs on Mountain Valley from the Wachita tribe. You broke back my own bruh It kind of sound like for mountain men Here's my thing about Whole Foods now. It is kind of expensive But if we had one up the street at this price because you know California Whole Foods is priced a little bit cheaper than the New York one I would go there more often. I get it buying your regular produce and meet there might not be worth it for a lot of people It's I probably wouldn't shop there. I still go to Ralph's and Albertson's, but man for that prepared food. I Get lunch there if it was two blocks away. Whole Foods being such a high quality chain I feel like they could step up some of the you know quality items if they want to be known as a you know high-end quality Branch or brand everything in there has to be high quality. It can't be inconsistent with their foods Who's was fascinating Whole Foods was fascinating, but not everything I noticed that today Because the things were too bland You know oftentimes we need to want to give things ratings first of all that is due to the health of the items because obviously Whole Foods is a healthy chain You guys number one in the comment section below Please let us know if you think Whole Foods is overpriced or worth it Number two, please let us know another supermarket or grab and go deli that you would like us to try on the next episode Yo, everybody. Thank you so much for watching that video More on bomb fell things that I really liked about the experience was the app was really easy to use and to actually your Stylus there's cool little things about the app like you can swipe on clothing that you like and actually guys these these brands There's a lot of brands that we've seen before and that we like And the quality is how you can even pick your price point So you know how some of the clothes that we're swiping on was more and like they got up to the Jackson like 250 Yeah, yeah, you don't have to you don't you don't have to look at clothes that expensive You can go for the lower option you set your range dude. There are options for anything man You gotta set your range. So here's how it works You do not have to keep every piece of clothing when they send you it if you keep for you'll get 20% off So it's like the more you keep the more you say they'll keep more get more So obviously if you only only want to keep two pieces, it's only 10% off So it's like pretty close to retail, you know minus a little discount But man you keep the more pieces you keep the bigger discount You get what's cool It's like having a personal shopper, but then you're ultimately in the driver's seat about how much you want to spend what you want to keep So it's pretty good again BOMBFEL.COM Fungbrows Fungbrows you will get 25 dollars off your first order. All right everybody Thanks for watching that video check out bomb fell like and subscribe and until next time we out Shout out to Nelly Nell from Hooping life David and Andrew from the Fungbrows Hey, you like to keep you like it until next time We're out. Hey, no, is it because it started as a vegan spot? No, it's not true. Yeah You don't be like well that's not for me


in the previous lecture proved to Risson's lemma. And today we shall prove teacher's extension here. So, what does it say? So, let X be a normal topological space, A contained in X be a closed subspace. So, then there are two assertions.  Then we can extend to a continuous function. So, what does it mean? It means that there is a continuous function this which is this capital F such that F restricted to A is equal to this F V star. So, let us prove this. So, we will use Risson's lemma to construct a sequence continuous functions F n's from X to minus R R which are uniformly Cauchy. So, I just want to define what this means for every epsilon positive there is an n such that for all i comma j greater than equal to n and for all X in X we have absolute value of F i F j of X is strictly less than epsilon. So, this will in particular imply that for every X the sequence F and X is Cauchy is a Cauchy sequence. So, given such a uniformly Cauchy sequence that is try to show that we get a continuous function.  So, let us prove the continuity of F. So, proof of lemma. So, it is clear how we get this function F. So, for each X the sequence F n X n greater than equal to 1 is a Cauchy sequence in this interval minus R comma R and so it converges which we define. So, how to define F is clear. So, let us show that F is continuous. So, let us show F is continuous. So, we will sketch a proof of this. So, let us say F of X is somewhere over here and let us take epsilon neighborhood of F of X and we need to show that F inverse of the ball around F of X of radius epsilon is open in X. So, let us choose any choose Y in this open neighborhood. So, F of Y lies somewhere over here. So, now let us look at this equation. So, mod F of Y minus F of Y prime. So, this we can write as. So, let us write this as and this is less than equal to F of Y ok. So, since the F n's are uniformly Cauchy if n is very large then F of t minus F and t is let us say less than delta by 3 for all t in X right. So, this will imply that for n large this F of Y minus F of Y prime is going to be less than equal to. So, this quantity and this quantity are going to be less than delta by 3 right. So, this is going to be 2 delta by 3 plus mod of F n Y minus F n Y prime ok. But now as F n is continuous as F n is continuous there exists a small neighborhood around Y. So, let us say W such that for all Y prime in W F n Y minus F n Y prime is also strictly less than delta by 3 right. So, this will imply that for all Y prime in W we have absolute value of F of Y minus F of Y prime is less than equal to delta by 3. So, it is less than equal to delta sorry in fact, strictly less than delta by 3 right. So, now if we choose delta appropriately then this will imply that. So, if we choose delta is very small such that the delta neighborhood of F of Y is completely contained inside this epsilon neighborhood of X. So, this will imply that for all Y prime in W we have Y prime is contained in this B F of X. So, first is contained in F of Y comma delta. So, this is actually strictly less than delta which is contained in B F of X comma upside right. So, this implies that. So, this what we have proved is if Y belongs to F inverse of this open set this open set then there exists an open set W containing Y such that W is completely contained inside X upside yeah. So, this implies that F is continuous. So, this proves the lemma. So, now using this lemma we will prove teacher's extension theorem now. So, let us continue with the proof. So, it suffices to construct a sequence of functions f n's.  So, for this we divide the interval into three parts right. So, this is minus r this minus r by 3 this is 0 this is r by 3 and this is plus r ok. So, we call this I 1 r this part is called I 1 r this part is called I 2 r and this part is called I 3 r.   So, as this I 1 r and I 3 r r disjoint it follows that f inverse of these two. So, it is joint closed subsets. So, recall that small f is a function from a to minus r comma r.  So, note that we had proved Orison's lemma for in statement of Orison's lemma we had a function f from X to 0 1, but obviously 0 1 is homeomorphic to minus r by 3 comma r by 3. So, we easily achieve this also. So, let us denote the restriction g to a by g sub a. So, we claim that the supremum f minus g sub a the infinity norm this by definition is supremum a in a f of a minus g a of a we claim this is less than equal to 2 r by 3. So, let us check this. So, suppose X is in f inverse of I 1 r right. So, then sorry suppose a then f of a belongs to minus r comma minus r by 3 and by definition g of a is equal to minus r by 3 right. So, g of a is this value minus r by 3 and f of a lies somewhere over here. So, obviously the difference between these two is less than equal to 2 r by 3. So, it is ok in this case right. Similarly, if X a is in f inverse of I 3 r then f of a belongs to r by 3 comma r and g of a is equal to r by 3 right. So, it is ok in this case also right. Finally, if a belongs to f inverse of I 2 r then f of a belongs to minus r by 3 comma r by 3 right and of course, g of a is also in this interval. So, we are ok in this case also right. So, this proves this claim that this happens ok. So, let.  So, we have just checked that this f 1 is this makes sense it is a map from a to minus 2 r by 3 2 2 r by 3 ok. So, we repeat the above process. So, using f 1 we construct a g 2 right. So, if this was g 1 right. So, we repeat the above process with by replacing f with f 1 to get g 2 right. So, in other words we would have proved that this infinity norm of f 1 minus g 2 is going to be less than g 2 let us say g 2 restricted to a is going to be less than equal to 2 by 3 into 2 r by 3 right. So, this is equal to 2 square r by 3 square right. So, but when we substitute for f 1. So, this implies that the norm of f minus f 1 is this thing minus g 2 infinity is less than equal to. So, we go on when as we proceed like this. So, at each stage we get a g i from x 2 minus 2 i minus 1 r by 3 i comma 2 i minus 1 r by 3 i right. This interval such that when we look at this norm g 1 minus g 2 minus minus g n this norm is less than equal to 2 to the n r by 3 to the n ok. So, we construct the sequence of functions g i which have this property right and so, this is on a this is we are taking the restriction of all these g i's to a ok. So, let f n be equal to the function g 1 plus g 2 plus plus g n right. So, then f n is a function from x 2 minus r comma r right and it is easily checked that f i's are uniformly Cauchy 2 on a f i's converge to f point wise right. So, this obviously follows from this. So, using the lemma on uniformly Cauchy sequence we get that the f n's converge to a continuous function f continuous f n restricted to a converges to f, but it also converges to f restricted to a which implies that f restricted to a. So, this completes the proof. So, given a function given a continuous function f from a to minus r comma r we have extended this to a continuous function f from x 2 minus r comma r. So, let us prove from the second part of the theorem. So, let us prove the second part. So, we are given a continuous function f from a to r.  So, then so, f tilde is defined to be phi composite right. So, as minus 1 comma 1 is contained in this compact interval.  So, now, we want to slightly modify this and get an extension of this f as a continuous function of x 2 r. So, how do we do that?  So, as f tilde of a is equal to f tilde of a this contained in minus 1 comma 1 this implies that a does not meet D right. So, thus there is a continuous function h from x 2 0 1 such that h of a is equal to 1 and h of D is equal to 0 right. So, consider the function now we have 2 continuous functions f tilde and h. So, we take the product consider the function. So, the product is continuous because both them are continuous h times f tilde this is from x 2 minus 1 comma 1. So, we claim that the image is in the open interval right. So, we claim that is in the open interval minus 1 1. So, why is that? If not there exists some x such that h of x into f tilde of x is equal to plus or minus 1 right. Now, the only way this can happen is that. So, this implies since h of x lies between 0 and 1 and f tilde of x has absolute value less than equal to 1 the only way this is possible is that h of x is equal to 1 and f tilde of x is equal to plus or minus 1 right. But, if f tilde of x is plus or minus 1 then x is in D and h of D is 0 right which is a contradiction right as f tilde of x is equal to plus or minus 1 on D only on D h of D is equal to 0. So, therefore the image lands inside this open interval right. So, we let f be equal to h times f tilde right. So, then f is a continuous function from x 2 minus 1 comma 1 right and f restricted to a is therefore equal to h restricted to a times f tilde restricted to a, but this is equal to f tilde restricted to a which is equal to small f tilde right. So, thus so we have f from x 2 minus 1 comma 1 and we composite with phi inverse right. So, let us see what we get. So, phi inverse compose f is from x to r right and phi inverse compose f restricted to a is equal to phi inverse compose f restricted to a this is equal to phi inverse compose f tilde, but note that f tilde was equal to phi compose f this simply f. So, thus phi inverse compose f is the required extension. So, this completes a proof of D says extension theorem. So, we will end this lecture here.


أعوذ بالله من الشيطان الرجيم بسم الله الرحمن الرحيم الصلاة والسلام على أشرف الأنبياء وعز المرسلين حبيبي إله العالمين أب القاسم المستفى محمد وعلى آل بيته الطيبين الطاهرين المنتجبين وعلى أعضائهم أجمعين من الآن إلى قيام يوم الدين أمين رب العالمين في نام الله the most beneficent the most merciful all praises be to him everlasting an omniscient he is we begin in his name and we send our peace and blessings upon Muhammad and his holy household in our everlasting damnation upon the enemies of Muhammad and his family Muhammad أمين رب العالمين my dear brothers and sisters I begin with the greeting of Islam and I say السلام عليكم ورحمة الله وبركاته peace and blessings be upon you wherever you may be wherever you may be watching right now either you are still fasting or either you are in your iftar or either post of tar may Allah سبحانه وتعالى bless you during these holy and sacred nights of شهر رمضان المبارك and we begin of course our fourth episode into the series of discussion and commentary on the sacred sermon of رسول الله صلى الله عليه و آله و سلم and we ended the last episode by talking about the first important lesson that we ought to take which is the immortal message of the prophet and the fact is that the hadith of the prophet like the Quran is eternal and immortal and there are lessons that we can learn from the from the hadith of the prophet and from the Quran periodically and yearly and the lessons do not end and as we also said on how grave and important is for our communities in the big picture and in the smaller picture ourselves how we ought to take heed and hold on to the Quran and Sunnah especially in the sacred month now the second lesson that we ought to take from the sermon and we can take this lesson by analyzing the sermon and the time of the sermon and we said and we give a preview in the last episode we said that the most important lesson behind this sermon sorry the lesson that we said that the lesson that we will speak about is the lesson of time the importance of time and the importance of choosing the appropriate time my dear brothers and sisters when you read the sermon of the prophet we read the hadith of the prophet you will find that the sermon the language used in the sermon we dictate and we conclude from it that the sermon was delivered near the end of Shaaban marking the beginning of Ramadan the language used in the خطبة because the way the prophet and his family begins the sermon he says to him he says to the people addressing the people he says to them يا أيها الناس قد أقبل إليكم شهر الله until the end of the sermon oh people and the month of Allah has approached it is nearing it is coming near it is just around the corner it is just above it is coming just over the horizon so we understand from this that the time of this خطبة was delivered near the end of the month of Shaaban the last 3 days for example of Shaaban we can say last couple of days before the month of Ramadan comes or the last 3 days before of the month of Ramadan meaning what we learn from this خطبة the importance of what of choosing the appropriate time specifically in this lesson we learn choosing the appropriate time when it comes to your خطبة meaning what choosing the appropriate time to address a specific topic a specific issue there are topics that have their specific time slot and there is a better reaction both emotionally both physically and mentally when a set topic is delivered and addressed at a specific time slot now we learn from this for example now imagine if the Prophet spoke to the Muslims the فضائل and the merits of the month of Ramadan in the month of Rajab or he did so in the month for example of any other month even if he did it in the beginning of Shaaban the تفاعل we say the التفاعل the sort of reaction that you would get from the Muslims in Medina in Mecca you would get from the Muslims wouldn't be as strong as if it was days it's almost like a shock value you add a shock value because closer to an event reading for example the different conquest because in this month for example there are many events that happen connect with these events for example by reading about the events there is a specific time that they have been mentioned how does this apply to us it applies to us because sometimes sometimes our community our brothers and sisters really do not take time into account when it comes to specific issues right when it comes to for example where we say oh make sure during this time of COVID you check up on your fellow brothers and sisters those for example who are suffering from anxiety those who are suffering from depression those who are suffering from mental illness but then you find that the brother or sister comes and they ask the wrong question we have that and that's a problem that's apparent and very clear in our communities the wrong questions are asked or no questions are asked we have we have the extremes on both sides we have an extreme we have a community that doesn't ask that neglects but a community that asks the wrong question when you see somebody suffering and somebody that is sad and somebody that is going under depression you don't say hey what's up man how's it going I heard you know you're not feeling well I'm checking up on you you don't bring up the topic you don't say oh you're depressed I'm checking up on you that's not how it works you just merely call up your brother and you speak to them as you would speak to anybody else if they open to you they open up to you it's important it's very very important because sometimes we ask the wrong questions and we only add salt on top of the wound because not everybody is open that's why there are professionals out there that people go to and they speak to they're mental health professionals and unfortunately speaking as well from the Islamic side of things we haven't neglected this it's an issue in our communities and it's not talked about a lot but the message that I'm trying to relay here is choose the appropriate time to speak or address about the specific issues that you want to talk about when it comes to for example mental health of course when I mean choose the appropriate there's always an appropriate time to talk about that topic there's never not a good time to talk about that topic but when I say the appropriate time choose the appropriate questions and the appropriate remarks when you're speaking to that fellow brother and sister who may be suffering and don't be that person to bring down that fellow brother and sister and say oh you're not faithful you're not what believe in Allah that's not how it works when we take baby steps towards everything slow and steady wins the race as we know that is the famous proverb right? slow and steady wins the race not you jumping to conclusions about how somebody is feeling so when it comes to these issues choose the appropriate questions in the appropriate times when it comes to other issues this is important for example the other sacred nights and the same thing comes to other events right? it's important that either you're a speaker if you're not a speaker you're just a member of the family and you and the family have important but you have family gatherings for example you have family gatherings and during these family gatherings for example every Thursday night if there is an event that's going on and talk about that event and in general take time time itself is sacred time is sacred do not neglect time choosing the appropriate time for everything by the way this applies to even like if you go back to the history of the Prophet ﷺ during his beginning message for example when it came to the idols of Quraish he didn't just jump towards Quraish and demolish them he waited for the appropriate time through Allah ﷻ his guidance time is very important and we say this because we jump to conclusions a lot we jump to conclusions we always jump to conclusions when it comes to being judgmental we jump to conclusions because we see somebody for example going through some things and we assume things about them and we always neglect the fact that time is a creation of Allah and time will judge us time will testify on our behalf so my dear brothers and sisters from the خطب of رسول الله we know this choosing the appropriate time of deliverance in order to address the community or whoever you're speaking to maybe in order to get the most benefit from your speech from your address and in order to be the most helpful in the sense of when we're speaking about for example that individual who may be suffering who needs help in order to be the most helpful brother and sister or in the sense of the larger community for example as a speaker as an orator choosing the appropriate time in order to get the largest amount or the most shock value because we see the event of of Ramadan and three days before that رسول الله صلى الله عليه وعلي begins his speech and he addresses the people there's a different feeling it's like when we look at محرم for example when we arrive when we arrive when we arrive when we arrive speaking about it on the day of the event is different and that is why we see that it's not just in the Islamic heritage where these events are honored we see in other faiths for example other governments for example events that occurred are always revived because there's always lessons there's always more emotion in the atmosphere the atmosphere is more that there's so much more when you're speaking about because we know that and his incident as an example this tragedy is forever eternal and forever there is a fire in our hearts that causes a burn and that makes us cry and makes us weep I'm the prince of tears I'm the prince of martyrs and the prince of martyrs nobody remembers me except that they shed a tear but now no even during these nights for example during the night of the month of Ramadan we remember about Abdullah but there is so much more emotion that is spilled on the day of Ashura and the nights of محرم and صفر because there's more تفاعل there's more emotion the heart is moving more during those nights than it does during any other nights time is very important and that's the lesson that we learn here choosing the appropriate time and at the same time choosing the appropriate time also means managing your time managing your time and also knowing that time is sacred time is grand time isn't a matter to overlook my dear brothers and sisters time is the creation of الله سبحانه وتعالى both space and time are a creation of الله سبحانه وتعالى and that is why we will be asked about the time الله سبحانه وتعالى and by the way like you can almost I'll read the ayah in the Quran of course but you can summarize your entire life as time life is basically time الله سبحانه وتعالى says الله سبحانه وتعالى see the advent of death and life is a creation of الله سبحانه وتعالى الله سبحانه وتعالى is telling us and he is the one who created both life and death meaning what from the beginning of our life until the end of our it's basically الله is basically telling you your life and death is one long strand life and death and that's it you end and then Allah says Allah created life and death in order to see that which from amongst you who from amongst you has the best عمل he may try you sorry he may try you with trials to see who from amongst you has the best deed and by the way this is a very important matter as well the Quran here is trying to inform us Allah is trying to inform us that it's not about my dear brothers and sisters it's not about the quantity it's about the quality it's not about preying 200 it's about preying 2 with معرفة with knowledge it's not about fasting 6 months 2 months 1 month for example no it's about fasting 2 months 2 days for example but having understanding what truly means it means to fast and being a good neighbor and being a good son being a good daughter fasting 2 months for example I recommended 2 months fast for example and praying the night and day but then you come with this respect you select and bad you speak ill of your parents you speak ill of your brothers and sisters in Islam that is why it's not about the number surprisingly and sadly we are a society that deals with the numbers we are a society now that we look at the followers we look at how big the number is don't judge anybody by the number you judge by the speech that's being uttered you judge by their Allah says ليبلوكم ايكم احسن وعملة who has the best deed not deeds the best of deed wherever that deed may be that's why when we look at those pious individuals in the Ahadith we have many Ahadith where Allah SWT one of the prophets of Ben and Israel tells them I wish to meet your Abid for example who was one of these Abids and then Allah SWT goes to the following lands the lands of Moses and then he goes and he sees somebody who was praying and one who has riches and then he goes on to another person until he long story short until he meets a person who was a slave who was a servant of the person that this prophet met before but it turns out that this person was a pious servant he did his Salah correct but then he was also good to his master he was good to the crops around him he was good to the animals and he is known as the Abid the slave of Allah the worshipper of Allah SWT and not the other individuals who on the outside they superficially they are Abad and we are not saying by the way that these weren't Abad they were Abad but Subhan Allah the servant the one who has the lowest class amongst humanity is the one who has the highest class and stature and merit in the eyes of the Almighty because my dear brothers and sisters is having that status in the eyes of Allah SWT having that status in the eyes of Allah supersedes and is better than any other status that one can have it is more grand and more magnificent Allah SWT here is saying I have created for you I have created life and death everything is a trial from the beginning of life until the end I'm trying to basically tell you Oh Abadi my slaves how are you spending your time how are you spending your youth how are you spending your wealth my slaves is saying which of you has the best deed which of you has the best indeed which of you has the best عمل it's not about the quantity here Allah is saying how are you spending your time that's why in the hadith that we read رسول الله SWT he says لا تزول قدما قدم عبد يوم القيامة لا تزول meaning what meaning the footsteps of the عبد on the day of judgment will not move not even a footstep he will not move forward a step it says حتى يسأل عن أربع until he or she is asked about four things until they are asked about four things عن عمره فيما أفناه وعن شبابه فيما أبلا وعن ما له من أينك تسبه وفيما أنفقه عن حبنا أهل البيت life all of our life this is a country that Allah SWT talks about إن قرآن الذي خلق الموت والحيات ليبلوكم أيكم أحسن وعملة you can say is categorized into these four questions الله will ask about life sorry how life was spent how the youth was spent how the money was attained and where it was spent الله سبحانه و تعالى will ask about حبنا أهل البيت again the hadith reads let's read the exact translation here I have it translated for you a servant will be asked about four things on the day of judgment before they even lift one foot they'll be asked about life and how it was spent youth and how it was worn as in how it was worn out how did you wear out your youth how did you deteriorate your youth because at the end of the day we're all growing old we grow old we deteriorate we wear out when your shabaab when your shabaab period ends and you enter the period of being an elder here is how did you spend your youth and youth can start from around 6 7 years old you can almost say 6 7 years old let's say let's say the age of Balagh let's say the age of Balagh age of puberty 12 13 for boys maybe it's 6 7 8 9 for 8 to 9 for the sisters for the girls how did you spend your youth from that age until the age of 30 for example what did you give back what did you do was it spent just all day long on watching series and movies did you spend it for example and something else that benefits humanity everything will be asked about by the way that is why I always say to always follow the Hadith of Amir the Hadith of Amir which is organize your time before we go back to that Hadith let's end this so we said and then wealth and how it was attained and how it was spent is your and how how did you spend that money and how did you spend it and how did you spend it and about all love now now now now now now now now now now now معبلي سدت حرum place the priority over gaining more insight and knowledge and leave a time slot if you are watching a series on netflix that spans 12 episodes and you want to binge watch it why don't you put more pleasure into watching it and divide that time that you have for that show into حيث يوجد مدينة اوشاءية . لدينا ممثلين من أجربة لما شاهدون this . يشتدون المدينة اوشاءية في حال الكلام لقد يزعادون هك順 ويكلي بجوية المشهيد من إعجاب إشتريب . لقد تطبيق حرائي في أجل� الناس ويسترد منجل الثاني في حالة الواقع . يتم بصتل من المسلم لللوء . ومسلمة أمامه يستطعون مصار حب ومسلمة يستطعون مصار حب بصدرها . ومن المهم أنها حاجة المترجمين ينقذون على أخوة أخوة ومأخوة. المترجمين ينقذون بأخوة لا ينقذون بأخوة. لماذا لا تأخذ هذا المشو that you're binge watching for example إن شاء الله يعني right now you can still do right now actually there is there is a chrome extension that you can download called Netflix Party لماذا لا تأخذ مشو that's beneficial for example say you and your friends want to watch a show why don't you watch something to make it make it fun ماذا لا تأخذ مشو that you can do for example guys we're going to have a brother's night for example our sister's night where the first the first 25 minutes will be spent in looking at the آيات من القرآن everybody shares an eye from the Quran that had an effect on them that benefited them in some way right and then next 25 minutes a group of sisters or brothers will also between themselves also begin to share on this zoom or Google hangouts meeting a حديث that inspires them or a historical event that inspires them from our Muhammad for example from رسول الله's lifetime so that's that now we just had 25 to 50 minutes elapsed right now 10 minutes for example to share any sort of wisdom that they may have that they may have learned or any lesson that they may have taken during their time for example in quarantine that's one hour gone and then for the next hour for example they can choose a show that they like that is of course lawful that they can watch together document anything but use whatever technology we have to also you will still be creating that atmosphere but you're creating of you're of course using social distancing you're creating a safe atmosphere and inshallah when all this is over you can take that atmosphere into the center inshallah you've already built a strong brotherhood people check up on each other sisters call up each other you're making use of your time my dear brothers and sisters now inshallah we've come to an end of this episode inshallah which is our fourth episode now you guys have to remind me of honestly I'm losing it as well fourth episode and inshallah we will of course be talking about time more and more because you'll find that the خطب of وسول الله really does mention and in Ramadan time is a very important topic to speak about but the gist of the message today is inshallah understand that there is always an appropriate time for everything and choosing the appropriate time is from the sunnah of the prophets and the Imam's peace be upon them and then also and the second lesson from from this discussion today from this episode is the importance to understand the importance of how grand time is and how heavy time is and that will be asked about how our time was spent and that Allah سبحانه وتعالى wishes to see from us not a quantity it is not want to see numbers he wants to see numbers that are of quality he wants to see numbers that have quality not numbers that have quantity my dear brothers and sisters I end on that note and I ask you for your forgiveness and I ask that you pray inshallah for the believers wherever they may be and inshallah they all return to their homes and those who are ill from this virus and other ailments may Allah سبحانه وتعالى as well give them good health and inshallah ask you to pray for my parents inshallah and if you have time inshallah recited فاتحة for my dearest grandmother and grandfather and may Allah سبحانه وتعالى bless you all during these sacred nights of Ramadan والسلام عليكم ورحمة الله وبركاته ورحمة الله وبركاته


It is Saturday the 25th of March 1911 and workers file into the cramped ash building in downtown Manhattan for another long and poorly paid day of work. For some 500 people reporting to work that day, this mainly consists of newly immigrated women from Italian and Jewish backgrounds. The hours, low pay and type of work rarely attract established people from within the city. And because of this, they are treated by their employers with suspicion. As such, the top three floors of the 10-storey building, which formed the factory, had their staircase doors locked. This apparent normal practice in the industry helped prevent the workers from stealing some paid break time, or even worse, pocket some product. The work is the making of shirt wastes, the bodice of a dress, or for a blouse or women's shirt. Smoking inside the factory is banned as just a small ember can result in flames amongst the cut fabric. The workers that day would soon become the unwitting martyrs for workers' rights, as in the late afternoon the triangle factory would burst into flames. The resulting inferno would burn the event into American history as one of the country's worst industrial disasters, and even to today still holds New York City's worst industrial catastrophe death toll. Today we're looking at the triangle shirt waste disaster, and I'm going to rate it here seven on my disaster scale, but here eight on my historical legacy scale. Let's see if you will agree with my ratings. At a turn of the 20th century, New York City is seeing a boom in economic and architectural advancement. The city, for many, is their first experience of the United States. Each individual of the shuffling masses wants to fulfill the American dream, and create a better life for themselves as back home, poverty and persecution was what many could have expected. But a new life in a new world offered hope. To many industry owners, these new foreign workers offered an opportunity, cheap labor. One such industry which found the cost-effective manpower of immigration was the textile industry, and many garment factories sprung up. One such was the triangle waste company based in the ash building in Manhattan, New York City. But before we look at the company, we need to have a quick look at the building in which they operated in. The building work for the ash building began in 1900. It was to be a steel-framed 10-storey high structure. The design is very much an icon of New York architecture, Neo Renaissance, and was quickly completed in 1901. The building boasted what the owners, Max Blank and Isaac Harris, claimed was fireproof rooms. This drew in garment workers as fire was a big concern in the industry, with fine-cut fabric being like a tinderbox if exposed to too much heat. The building had a number of questionable features, only a single fire escape, poorly lit stairwells, and a lack of landings. Furthermore, as more garment manufacturing ramped up and ventilation became more stifled, temperatures ranged from boiling to freezing. There was no set limits to numbers of people per room, leading to cramped conditions where workers jostled for space amongst the heavy sewing machinery. Inadequate toilet facilities were afforded to the staff, which resulted in horrendously unsanitary conditions. And all this was compounded by employers locking their staff in on the shop floor during the working day. The city had allowed the ash building to only have two staircases, one to Green Street and another to Washington Place, in exchange for building an exterior metal fire escape. In order to not accrue more costs in construction, the staircase was made of flimsy iron, and when unmaintained quickly became weakened by the elements. The working week for a triangle waste employee was a brutal 52 hour affair, with an hourly rate of around $4 in today's money. This involved a 6 day working week consisting of 5 9 hour days followed by a 7 hour Saturday. Many of the 500 employees were women ranging from the ages of 14 to their 40s, although the average age was closer to their mid 20s. Max Blank and Isaac Harris's business model involved subcontracting work out under the one company umbrella, triangle waste. Subcontracting was beneficial to the owners as it allowed them to pocket the profit without much of the risk. You see the subcontractors did the hiring, firing and paying of the company's workers, which allowed the wages to be set at rock bottom levels, as each contractor pocketed cash along the way up to Max Blank and Isaac Harris. It seemed like change was on the horizon for the industry after a walkout in 1909 at the triangle waste factory and in 1910 the cloakmaster strike. The latter enabled a grievance procedure for garment workers and a number of new unions were set up to investigate and fight poor working conditions, but unscrupulous employers ignored any complaints and that was the story at the ash building. Poor fire controls, lack of regular inspections and dangerously stored flammable inventory. As an effort to stop fires, smoking was banned on the shop floor, however some still snuck in puffs under their coats as they worked, which leads us to 1911 and the event that shocked the city and the country. As the Saturday shift came to an end on the 25th of March, a flame appeared in one of the wooden buckets used to store offcuts of fabric on the 8th floor. Around 1640 the flaming buckets spat out ignited debris into the room, setting the hanging garments ablaze.  A bookkeeper managed to telephone up to the 10th floor to warn of the unfolding catastrophe, but was unable to contact the people on the 9th. The first sign of disaster reared its head on the 9th floor as the flames burst into the Green Street stairway blocking escape. You see, the floor had a number of exits, including two freight elevators, a fire escape, and stairways down to Green Street and Washington Place. The door to the Washington Place stairway was locked by management as part of their theft prevention scheme. The foreman, who held the key, had escaped before the fire had consumed the 9th floor. The Green Street staircase, now completely engulfed with flames, left only the fire escape and elevator shaft as an option for the stranded workers. Lyft operators Joseph Zito and Gasper Mortarillo continued to ferry people off the 9th floor until heat buckled the rails. As the panic staff gathered on the exterior fire escape, under the weight and heat of the fire, the poorly built structure collapsed, sending 20 hurtling into the pavement below. This left the stranded workers nowhere to go, but to wait for rescue or the flames. The fire department was quick to arrive on the scene, but was now adequately prepared for a fire on a tall building. The provided ladders failed to reach the 9th floor, leaving little way of escape and hardly a fighting chance for extinguishing the fire. With ever-decreasing options, some decided to jump out of the windows and down the elevator shaft, rather than face the flames. The ground around the ash building was littered with 62 dead bodies, leaving a horrific spectacle for the bystanders on the streets surrounding the inferno. The fire eventually subsided, but left a terrifying death toll in its wake. It is estimated that 146 people perished, 23 men and 123 women. The bodies of the victims were taken for identification to charities here. Examination discovered most has succumbed to smoke inhalation, burns and blunt force trauma. The dead, due to their varying religious and ethnic backgrounds, would be interred around the city in a total of 16 cemeteries. The event shook the city and caused outrage amongst the working classes, as well as the upper echelons of society. Unsurprisingly, the company owners were not amongst the dead as they had escaped onto the roof. But in the wake of the tragedy, they were arrested and tried for manslaughter, and indicted on the 11th of April. Although the terrible working conditions should have been criminal, the trial came down to whether the two men knew that the staircases were locked. The trial would last 23 days, and after a brilliant defence orchestrated by Max Stauer, the two men were acquitted of all charges on the 27th of December. The defence lawyer had planted enough doubt in the minds of the jury as to whether the owners were aware of the policy of locking the staff in. It was likely that they did know, but it was impossible to prove. A civil suit would eventually be brought to the men, which they lost, and had to pay out a grand sum of $75 per life in 1914. The two men would not change their ways, as in 1913, their replacement factory was found yet again to be flaunting the rules. When city inspectors looked at the new premises, they found it not to be fireproof, without fire escape, and without adequate exits. The two were fined a minimum amount, and yet again they continued to ignore the minimum fire regulations. In August of 1913, Max Blank was charged with locking one of the doors of his factory during working hours. He was brought to court, fined a measly $20, and given an apology from the judge for the imposition. And this was not unique within the industry, where workers were seen as a mere cheap commodity to be exploited. But the shock of the ease in which the 146 died, and the apparent even easier way in which the owners shirked responsibility, led to outrage across the city. The outrage turned into action, and workers' union memberships in the industry grew rapidly. The public grief-stricken gathered in churches, synagogues, and eventually in the streets. But it didn't just end with workers self-organising. The city implemented new laws initially aimed at fire-related issues, such as better building access, and egress fire-proofing requirements, the availability of fire extinguishers, and the installation of fire alarm systems, but would eventually expand to better eating and toilet facilities, and limiting the number of hours that women and children could work. The Triangle Waste Company would continue until 1918, when it would be disbanded. But what of the cause of the fire? Well, eyewitness reports pointed the location of the fire to the wooden bin. The fire marshal thought the likely culprit to be a discarded cigarette or a match. But another cause has to be addressed, and that is of arson. The industry had a worrying trend when a type of garment went out of fashion. Suspiciously, factories tended to start to catch on fire, followed by rather quickly a large insurance claim. Interestingly, contemporary insurance journals placed wastes as losing popularity within the fashion industry. But we will never know for sure as this line of inquiry was never pursued, which is not surprising considering the criminal trials outcome. This video is a Plain Difficult Production. All videos on the channel are Creative Commons attribution share alike licensed. The Plain Difficult Videos are produced by me, John, and are currently wet and windy south-east in the corner of London, UK. Help the channel grow by liking, commenting and subscribing, and check out my Twitter for all sorts of odds and sods, as well as hints on future videos. I've got Patreon and YouTube membership as well, so you can check that out if you fancy supporting the channel financially. I've also got a Teespring store as well if you fancy wearing one of my t-shirts. And all I have to say is thank you for watching.


I'm Deborah Borchard and this is your marijuana money minute. The Flower Corporation is buying Terrace Global in a deal valued at $63 million. Together, the two companies have a strong balance sheet with more than $31 million in combined cash and securities that will support their growth. Vibe Growth Corporation announced preliminary, unaudited third quarter 2020 results. The company said their revenue is expected to exceed $7.25 million. That's a 28 percent sequential increase over the second quarter. They also said they expect to continue to report positive. We have a lot of financing things happening this week as companies look like they're making a lot of moves. Harvest health and recreations entered into an agreement with a capital as the lead agent and bookrunner who's going to purchase on a bought deal basis a little over 13 million units at a price of 226 per unit that will get harvest about 30 million dollars. Planet 13 upsized a previously announced offering of units earlier this week. The Vegas Superstore company said it was raising $20 million selling 4.7 million units at four dollars and 36 30 cents. That's Canadian. The new deal is now they're going to sell 5.8 to 5 million units at the same price that should net them about 24 million dollars. That deals expected to close on or about November 5th. For front ventures announced a Canadian dollar 15 million bought deal. The company entered into this agreement with Beacon securities. The underwriters have agreed to purchase a little over 21 million units acreage holdings announced that it retired short term strategic financing. The financing was announced in June 2020. They have paid about 18 million dollars in order to retire the full balance and accrued interest. And finally LeapLinks October data reported a 118 percent year over year increase as measured by LeapLinks gross merchandise value. They call this GMV the total value of merchandise sold over a certain period of time. So in this case it was from January to September. LeapLinks data is representing wholesale cannabis data from six key legal states Nevada California Colorado Oregon Arizona and Michigan. Michigan's year over year GMV increased by a whopping 342 percent. And out of these six states it is the strongest escalation of GMV. And that's it for this week. I'm Deborah Borchart for the Green Market Report.


started on the skills associated with thinking and in thinking we have seen various ways of solving problems that is what we are discussing now. So far we have discussed the representation skills in some detail. So for example how you can use symbols instead of long statements for describing situations then we have seen how you can use a table to represent data then how you can use a graph to represent data and how a graphical representation is very powerful in giving you a lot of information. We have also seen how you can restate a problem so as to solve it easily. Restate or reformulate. Now proceeding in the same direction let us see a few more methods of representation. A few more things that we need to look for when we represent problems. Let us begin with the Venn diagrams. All of us we have studied about Venn diagrams in the school but surprisingly people do not use Venn diagrams to represent relations between various entities which is what it is supposed to do when they are actually embarking on solving problems for research or even for understanding various things. So here are two examples shown on the slide. Supposing we want to show the relation between the activities of science and inventing, scientists and inventors. So here one of the circles here shows the group of inventors and the other circle is a group of scientists. Now when you show overlapping circles what it means is there are some people who are scientists but not inventors. That is this group. You can have people who are scientists as well as inventors because science and invention are not the same activities. So there is some difference between them but that doesn't mean that the group of scientists and inventors are totally distinct. So you can have people who are doing mostly inventing but not doing activities of science as we have understood. There can be some group of people who are doing science and invention and there are some people who are doing mostly science not much of invention. Here is another example. In physics or even in engineering some courses which are very close to physics we use two terms called equilibrium and steady state. I have often seen people getting confused between these two words equilibrium and steady state and therefore they use these two words interchangeably. If there are any students who are from the area of solid state devices or from the area of physics they will appreciate this much better. So what is the meaning of equilibrium state? Equilibrium state means it is a state in which for every process there is an inverse process going on at the same rate. That is the definition of the equilibrium state. For every process there is an inverse process going on at the same rate. What is the definition of steady state? Steady state means all processes are constant as a function of time. So steady state means all processes are constant as a function of time. Now you ask students a question. If a body is in equilibrium is it in steady state? If a body is in steady state then does it imply that it will be in equilibrium? And many times when these kind of questions are put the students are confused. So this is a Venn diagram which represents the relation between steady state and equilibrium. So here equilibrium is a subset of steady state. This means if a body is in equilibrium it has to be in steady state. However if a body is in steady state it may or may not be in equilibrium because all processes may be constant with time but it may not happen that for every process there is an inverse process going on at the same rate. So like this one can use Venn diagrams to represent relations between various quantities particularly those which appear to be appear to have some commonality. In fact there are more complicated Venn diagrams because in our course we want to spend some time on each of the various methods of representation. I will not discuss this topic of Venn diagrams in more detail. But you can whenever you have difficulties in distinguishing between two different entities and so on you can try to see if you can represent things on a Venn diagram. Venn diagrams can be used for very many situations. Let us see another aspect that we should consider while representing problems. Drawing diagrams to scale. We have emphasized this the importance of drawing diagrams to scale yesterday when we were discussing solution to the puzzle of dividing squares into five equal parts. How if you do not draw diagrams to scale you may not be able to see the fact that solution is not possible. On the other hand other thing is also possible that is when you draw diagrams to scale you may see a particular approach of solving a problem which you will not be able to see if you do not draw diagrams to scale. So here is an example. Now supposing we want to model the current flow between two contacts. Okay a small contact at the top and a larger contact at the bottom. Now what are shown here are current flow lines between the two contacts. Do you have to take into account two dimensional effects? Suppose this is the question you have. When you want to model the current flow between the two contacts do you need to take into account two dimensional effects? Because if you have to consider two dimensional effects evidently the model will be more complex. Now it all depends on the scale. So here two situations are shown. The distance between the contacts and the size of the smaller contact. These are the important things components of this particular problem. Now this is case one supposing the relative sizes of the length of the contact and the distance is as shown here 8 and 11. Now when you draw the flow diagram you can clearly see that you will have a significant amount of current which shows which flows along those curved lines where two dimensional effects are there. However if your situation is as shown in the second diagram here below. Where the distance between the contacts is less than even one tenth of the length of the contact. So now you see that the extent to which the two dimensional flow or the two dimensional region extends beyond this one dimensional region is very very small. So in this case in fact if you want to model the situation you can simply use a one dimensional approximation. Normally what happens is we do not draw diagrams to scale. So even though our contact size may be 8 and the distance may be 0.11 as shown here you will draw a diagram something as shown in the first. Okay and you'll simply mark the values as 8 and 0.11. So first you draw the diagram and then you simply mark the values right when you even when you're explaining without taking care to draw the diagram to scale. So as a result you will miss such important points. In modeling in fact it is very often seen drawing diagrams to scale helps immensely in deriving simplified models or in making proper assumptions. Okay so that your model will be simplified. So in fact I can give you one more example from my own modeling experience. In a particular situation there was a device in which there were charges located at various places. So for example there was a positive charge here then a negative charge at the other end then positive charge at the other side of the same surface for some other reason and a consequence of these positive and negative charges was an accumulation of electrons here. The model involved calculating the number of electrons as a consequence of these charges. Now the device used to be drawn as I have drawn it here. Okay so where the relative distances were actually not drawn to scale. In fact you see a diagram you very rarely find diagrams drawn to scale. Why? Because the relative distance was if this was one unit this was thousand units. Now evidently if you try to draw a diagram to scale you will not be able to show this presence of these various charges in the device at all. However for the particular problem at hand which involved finding out the effect of these charges on the electron concentration actually the details of the individual charges here how many positive charges are located at this point how many negative charges here and how many positive charges here. These individual details are actually not important. This is clearly seen if I draw the same diagram to scale. If I want to show this is just one unit this entire thing is just this one unit right and the remaining portion is thousand units length. Now what it means is all these three charges are in this compressed into this thin region and then you have the electrons created as a result of this. So what matters is not the individual charges but the sum total of all these charges. So that makes this problem very simple because you don't have to model individual charges separately and the phenomena associated with them. All that you try to see is what is the sum total of all this. So like this one can give many examples where if you draw diagrams to scale you can derive models or you can solve the problem in general in a general case in a much more effective manner. Completed the discussion on representation various ways in which you can represent problems and what are the aspects that we should take care while making a representation. Okay now let us move on to the other strategies of solving problems. Let us consider this particular problem. How many matches should be played on a knockout basis to decide the winner from among ten teams? Suppose this is a problem. Now one way you could solve this problem is to draw a graph. So here we have shown the ten teams first and then you show branches of a tree joining together so where a node means a match. So now you have five matches at the end of which five teams are left. Then you arrange matches between every pair of teams. One team is going to be given a buy because you know the number is odd. So you draw a tree like this and then every node you mark it as a match and then you count the number of nodes. Okay so you find from here that you need to play nine matches. Actually there is a simpler method of solving this problem. If you use logical thinking to solve this problem what is logical thinking or reasoning? Example of that is this statement. All men are mortal. Rama is a man so Rama is a mortal. So first you have a proposition then you have another statement and then you relate the two and derive the third. Let us exactly use this reasoning in the present case. First statement. To decide a winner from among ten teams, nine teams have to be eliminated. Only then you are left with a winner. Every match eliminates one team. Hence nine matches need to be played for eliminating nine teams. So this is a solving of the problem by logical reasoning. Now what is the advantage of this approach as compared to graphical approach? You see logical reasoning it is extendable. Supposing I was given N teams and you are asked to derive a formula. Right how many matches need to be played by a knockout basis. So to decide a winner from among N teams, N minus one teams have to be eliminated. Every match eliminates one team. Hence N minus one matches need to be played for eliminating N minus one teams. So you see you get a general formula that if there are N teams you should play N minus one matches. Something that is not very evident when you draw a tree. Right that if you count all the number of nodes it will they the number of nodes will turn out to be simply N minus one. This is not very evident if you use a graphical approach. So logical reasoning is also a very powerful method of solving problems. And we do not use it as frequently. Give you one more example. So the problem statement is as follows. The human figures painted by El Greco seem unnaturally tall and thin. El Greco is some famous painter. Now this is an observation. So an ophthalmologist one who deals with defects of the eye and how the eye works and so on. He surmised that this is because El Greco suffered a defect of vision that made him see people that way. Because he was trying to explain why should El Greco paint human figures very tall and thin, unnatural. Now is this argument correct? Right. So this argument is not correct. So how do you derive that argument is not correct? Because El Greco has a certain way of looking at things that suppose they are elongated for example. Now if he draws a proper figure it will look elongated to him which will appear normal. So for it to appear normal to him it has for him for it to appear normal it has to still be normal there. The only thing that differs is his perception of normalcy. Can you just repeat? Yeah. Can you repeat what you have said? For it to appear normal to him it has to be elongated. Or maybe compressed. I mean if the defect of vision was there. Let's assume that it is elongated. So for it to appear normal to him it has to appear elongated. If he draws it normally it will appear elongated to him. Therefore what he'll try to do is to make it look normal for himself. In which case he'll make it he'll make the drawing look normal so that it looks elongated to him which is normal for him. Right. So the point is it cannot be because of defect of vision. Okay. So this is you derive it just by logical reasoning. Another way of looking at the same thing would be right. If for example there was someone has a defect of vision that he sees things double. Now if you say that this defect of vision will prompt him to draw things double on the paint things double. But then by logical reasoning when he sees two things which will appear to him as four times. So what is going to happen? Right. As he paints two things they will appear to him as four figures. Right. So evidently therefore it is not possible that because of defect of vision a person will paint things double or elongated. Okay. So it has to be intentional. So it is not that his defect he had a defect of vision but for some reason intentionally he drew them like that. Okay. So many such examples are there. One can take very many sophisticated examples particularly proofs of theorems. Where you can show by sophisticated chain of reasoning which may involve only two or three steps. You can prove theorems. Okay. You can even understand things by logical reasoning. Let us consider one more strategy of solving problems. Okay. Many of these things are picked up from my own experience. So this is one problem. Right. Why is the computer down? I had an interesting experience. One of my colleagues from chemistry department and friend he called me and said Shri Pat can you just come and help me. My computer is not working. Okay. So but I said why do you think of me for finding out why it is down? No you are an electrical engineer. Maybe you will know why it is not working. Okay. So the idea here was that he is a chemistry person and if you want to find out why the computer is down what may be the problem. You need specialized knowledge of electrical engineering. Okay. At least that is the way he saw it. Now I have chosen this problem because I have had five such requests over last ten years. Right. By different colleagues and from other departments. That is very interesting. All of them calling me and saying can you just check. Help me. I know why the computer is down. Because they seem to think that it requires the knowledge of electrical engineering to check this. Now for example one situation. What was the problem? I actually went and you know said the problem right. But involved nothing of electrical engineering. So what does it involve basically? What will you do? You will draw a diagram and show all the elements. Okay. So this is the socket. Then you have the plug. Then you have this wire connecting the UPS uninterrupted power supply. Another wire running from this power supply to the computer. Now what will you do? The computer can be down because of many possible reasons. Right. So either this wire might have gone back or the UPS is not working or this wire has gone back or maybe the electricity is not there or maybe the computer has got spoiled. That is also possible. Now you will eliminate one by one the various possibilities. So first you will see that other lights are on. So obviously the electricity is there. Fine. Then you can remove this computer and connect another device over here and see whether that is working. Electrical device. If that device is working then you conclude that maybe the computer is back. But if the device is not working that means there is some problem in this part.  Is the wire good? Is the UPS all right? And so on. And then in one case, for example, I found the problem was that the wire inside the plug had come out from one of the pins of the plug. Because you are constantly removing the plug and inserting it, connecting the computer, disconnecting it, moving it to a different place and so on. So all that you needed to do was to just fix that point. The idea I want to convey is that in many cases problems involve simple analysis. Now we use our analysis so often. I am sure my colleague would have taught analysis in chemistry and so on. Analysis of reactions and so on. But that does not necessarily mean we use analysis to solve problems. In very many situations it is simple analysis, logical reasoning, separation of the problem into smaller parts and understanding the parts in isolation. This is the meaning of analysis. What is the meaning of analysis? Separation of whole into parts. Understanding the parts in isolation. Then combining the understanding obtained for the isolated parts so as to understand the whole. That is what is the analysis. Now if someone asks us to explain what is the meaning of analysis also we may be able to do. But the moment we are faced with a problem which is not familiar, this is very important. The moment we are faced with a problem which we think at least in our perception is not familiar, we are not comfortable with, then we immediately think that specialized knowledge of some area is required to solve the problem. Whereas many problems are solved by general problem solving strategies. Logical reasoning, separation of the problem into parts and so on. So we must attempt these approaches before thinking that we should use specialized knowledge to solve a problem. Let us look at one more skill that one employs to solve problems. So I have to explain it but it is not very difficult to understand because all of us here I think know what is the meaning of a resistor. That is all what you need to know to understand this problem and its solution. So consider a Wheatstone bridge with three resistors of value r and one resistor of value r plus delta r and two formulae are given there which tries to relate input voltage and output voltage. So let us draw a diagram for this situation. So this is a Wheatstone bridge. So you have four resistances here. This is the input voltage and you take the output voltage between these two points. When this bridge is balanced so this is one arm of the bridge and this is another arm of the bridge. So when the two arms are balanced that is if all these four resistors are of value r then this voltage will be 0. Because this voltage will be exactly half of this voltage and this voltage here will also be exactly half of this voltage. So these two voltages are identical. Potentials at these two points are identical and therefore no difference between the voltages of these two points. So it is 0. If any one of the resistors is disturbed from this balance condition then a voltage will appear. Now what is shown on the slide is the ratio of the voltage that appears the output voltage and the input voltage as a function of the values of the resistors. Now there are two possible formulae shown here. So a person has done a derivation and somewhere he might have committed a mistake in the derivation. So at the end he has ended up getting an error in his formula. Now which of these two formulae is correct? Suppose if you want to check. Now one method is of course to go through the derivation and check where is the mistake. On the other hand this approach of solving problems by limiting approach or stretching to the extreme. So what is it that you do? Consider the problem for an extreme situation. Stretch the situation to an extreme in the present case for example. What is it that is causing the output voltage to differ from 0? It is the delta R because when the bridge is balanced delta R is 0. Let us look at the paper slide again. It is this delta R that is responsible for causing a voltage. Let us stretch the value of the delta R to the extreme. You will find the formula will reduce to a simpler number. Each of these two formulae will reduce to a simpler number. If I put delta R tending to infinity here then I will get V o by V i as 1 by 2 in this formula. Here however I will get V o by V i as 1. When delta R tends to infinity. So now I have to just compare these two cases for delta R tending to infinity which is very easy because if delta R tends to infinity that means this resistor has been removed. That is the meaning. It is an open circuit. If I remove the resistor now what is the value of the voltage? Clearly if I remove this resistor then whatever voltage is there appears at this point. On the other hand this side the voltage is V i by 2 whereas here the voltage is V i. Clearly therefore the difference in the two voltages is V i by 2. So V o by V i will be half. So clearly the formula on the left hand side is the correct one and the formula on the right hand side is not correct. So like this particularly in derivation of analytical formulae. One can even check complicated formulae particularly when the formula is complex. It is not a good method to go through the entire derivation and check where is the mistake. Instead one should stretch quantities in the formula to the extreme. Extreme does not necessarily mean infinity. It can be 0 also. Zero and infinities are the extremes and then one can check how the formula changes and what is the value it reduces to because extreme situations can be analyzed very quickly. So this is one more skill in problem solving. Let us summarize the various skills that we have discussed for problem solving. The various strategies of problem solving are representation, logical thinking, then division into sub problems. So combination of logical thinking and division into sub problems and representation is analysis. Analysis involves all these three. So we have seen an example of why the computer is down. You have drawn a diagram which is the representation of the problem which can also be regarded as a block diagram. Incidentally, there was a query that we have missed out block diagram. That diagram that we have drawn is in some sense a block diagram. So combination of representation, logical thinking and division of the problem into sub problems. Combination of these to analyze is analysis. Then stretching to the extreme and verbalization. That is talking about a problem is one method of getting solutions for the problem. That is verbalization. Although not shown here, I want to also point out one more aspect of problem solving and that is ability to estimate quantities. The word estimate is used when you want approximate values of quantities. So to list it with an example, what is the thickness of this A4 size paper? Supposing I want to know in some situation, this is the information that I need to solve some problem. What is the thickness of this paper? So what is the way you would estimate? So evidently you will put a number of papers together so that the thickness becomes something that you can easily estimate. So maybe a millimeter thick or something like that. And then you will find how many papers you have put together and then divide a millimeter by number of papers and estimate. Is there any other method? So this feel for various quantities. This is very, very important in problem solving. So how many students can be accommodated in this room? It's a problem in estimation. So like this, in fact, there are very many situations where you need to have an initial estimate of the situation. And then again, what is the advantage of ability to estimate? You can make simplifying assumptions to solve the problem. So the ability to estimate is a very important ability which is again not used very often by people. Then we discussed the techniques of representation in detail. Some of the techniques that we considered are symbolic representation. Symbolic representation and diagrams and so on includes block diagrams also, reformulation. Then table, drawing tables. So you have list form of table and matrix form of table. Then drawing graphs using bend diagrams and drawing diagrams to scale.


So earlier this year the Rock was fighting monsters and now he's fighting Skyscrapers. Let's go ahead and get into it. My name is Brandon Keith Avery and this is just my opinion. Hey, what's going on everyone. Thank you so much for tuning in to my opinion slash review for Skyscraper starring Dwayne the Rock Johnson. I really do appreciate it. Now when it comes to Skyscraper, I cannot say that this was a movie that I was just super duper excited about, couldn't wait for it to be released. My expectations were mediocre, but I am a fan of the Rock. I liked him in Jumanji at the end of last year. I really had a great time with him in Rampage which came out a couple of months ago. I believe in April 17th or mid April. And now we have Rampage. I'm not Rampage. Excuse me Skyscraper. Like I said, I pretty much love him and his portrayal of a character and pretty much everything he does.  Now what the film is about is, I'm going to say Chris Rock for some reason. The Rock, he has a family. He is a security agent. He used to be part of the armed forces, but he had an accident while he was on duty. He lost his leg. He has a prosthetic leg now and he's just a security advisor. So this corporate gentleman wants to build the highest building in the world, has all these amenities and things like that all just captivating all the wonderful luxurious things that you can think of are going to be impacted into this building, but some terrorists come out of nowhere and they want to hold everyone hostage and do a ransom and things like that.  Nothing wrong with that premise, but when you watch the trailers you're just kind of saying to yourself, okay, this whole movie does seem completely unrealistic. It just kind of seems over the top even with it being The Rock. You may not have said that yourself, but this is kind of what I'm seeing. Even when he's on that crane running across the top of it and he has a prosthetic leg and he jumps across. So going into this movie, I thought I just knew that it was going to be silly. I knew not to take it seriously and those are just the expectations that I went in. Me having those expectations going into the film is pretty much what saved it for me. I'll talk about why in just a moment, but if you're going into this movie wanting a new age version of Die Hard from the late 80s, you will be strongly disappointed. This is a textbook definition of a popcorn flick, something that you don't have to pay attention to for you to really just get the gist of it. But some things that I did, like it's just the design of the building. The building was cool, kind of seeing the outside of it.  But a complaint of mine that I have about the building is for it to be just so big and massive, I kind of wish that we would have got to see a little bit more of it. There are some nice elements that the film did reveal about the building and what it all can do. Some things you've seen before, some things you've never seen before. Before it to be so big, I did want to see just a bit more of the building. For one reason, another is this, the whole thing just did not feel real at all. It was just kind of just a big, giant CGI rectangular bar in the sky on the outside and on the inside, especially towards the end of it when all the mayhem is going down. But let's talk about the characters. Now, the Rock 4, in my opinion, for the most part, plays the same character in every movie. And that's not a gripe in my, you know, I don't have a problem with that. If you have a problem with that, I feel that that's a legitimate complaint. But in this film here, I really did feel that he was a different character, somebody that he didn't play before. Like, usually in every Rock film, he is extremely confident. You know, he steals the attention whenever he walks into a room. It seems like he just doesn't worry about anything, you know, unless he's falling from the sky or literally in the middle of a fight. But that's not what you got here with the Rock in this movie. He is, he is unsure of himself. He is somewhat doubtful. He is not the same 100% confidence that I am used to seeing in all these films. And that is not a knock that is a praise of this film. Just something that I didn't see before. And just kind of, you know, kind of just pain, just hit the nail straight on the head to flesh out his characters, especially given his condition that he did lose his leg in service.  But I kind of got a sense of, you know, I don't want to make any assumptions assuming that, you know, if, you know, somebody that has it doesn't have other limbs, you know, how they can be kind of down and out and kind of just, you know, feeling, you know, bad at from time to times. And I think the Rock get a great job there. Another character that I was really fanciful of was Chin Han. He was the tech genius that built the building, the architect behind that and that funded it all. As in gentlemen, if you don't know him from the past, he was in The Dark Knight Rises. But he did a great job too. I really did like his confidence in the film. Rock didn't have any confidence, but this character did have confidence. There was also a big sense of mystery to him as well. I was like, what is up with his sleep? Even when it seemed like there was times in the film where he was supposed to be nervous and panic and just not know how to react to the situation. He handled himself quite well and just kept his composure. And I would when they're doing that, that just kind of stood out to me. And I was just kind of saying to myself, OK, man, what do you have up your sleeve? You know what I'm saying? Why are you not relaxed? You know what I'm saying?  Like what's going on? But he was just like, I know what's going on. And I have everything under control. You know what I'm saying? And I just kind of did. I really did like that. Nev Campbell is in this movie as well. If you didn't know her, she's from the slasher movies Scream, which came out in the 90s and things like that. And just a little note, since I brought up Scream, that was the first slasher movie that I saw as a as a. I think I don't know if I was an elementary junior high that broke me out of my scary movie mindset.  As far as scary movies is concerned, like me actually facing my fear. But anyway, Nev Campbell is in this.  And I liked her character as well. Another character I like are the children.  Daddy, save me.    I like them. They were children, but at the same time they were smart. And, you know, given their age and the environment they would actually put in, you know, I actually liked them in the movie. They kind of stood out to me. But as far as everything else, so I mean, I like the characters. I mean, I like all the characters other than the main villain of the film.  Also, something else is real cool. But I like about this movie is there is a nice hand to hand fight kind of towards the beginning of this movie when things are getting ready to develop and they have rock, the rock, of course, they had to rock in it. But, you know, he did not have, you know, he has a prosthetic leg. And the way that they use that and choreographed this film, I was very entertained by that. You know, I'm seeing like, you know, the rock is big and small, but at the same time, like what can you do if you only have one real leg? What can you do if the person you're fighting knows that you only have one real leg? Two, you know, how's that going to turn out? You know, or they just to push over and it's a challenge for the rock because he's just so big and strong, but he has a handicap. Or is it even a more challenge because who he's fighting is actually strong and can fight, too. You know what I'm saying? So it's like, dang, you know what I'm saying? Like not only is the rock fighting somebody strong, but he only got one leg. It's the way that they did that was very great. Very, very great. I got that written down here and almost looked over it. But so the characters are cool. The setup is cool. The execution, I mean, it is what it is. You know what to expect. Well, maybe you don't. And I'm just telling you, don't expect great.   It just like it tries to be self aware, but it's so blatantly obvious and kind of cheap and corny that I'm not going to accept it. I mean, it's literally they could they could have just named this movie typical action movie or typical action flick or typical, you know, hero saves the day because just some of the stuff that they wanted you to buy as this to spend your level of disbelief was just so ridiculous to me with some of the physical feasts that the rock was able to accomplish in this movie.  We're still going to have fun with it. I'm like, oh, sorry. I'm like, no, you know, this could be good. But it's just some of the stuff in there.  But that's the thing, you know, I still enjoyed it. You know what I'm saying?  It's just like really, y'all really mean it's just some of the points. We're like, OK, all I got to do is pull back the panel, cut the wire and everything is going to be fixed. And it's like they actually had a scene like that.  So he may know security, but it's just like, really, I mean, it's just that is just open the thing, how do you know you're cutting the right wire? It's only four wires. And, you know, it's just that that's just that type of thing and just some of the stunts. It's just like it was a lot of these action movies. You can probably say to yourself that will probably happen one time out of a thousand in a perfect world. You know what I'm saying? I'm thinking like Mission Impossible. Nothing in this movie would have happened in real life. You know what I'm saying? They tried. I mean, the way they painted in this movie, like it would really happen.  But I'm sitting, I'm still enjoying it, but I'm just like, this is so just silly and just crazy, you know. But we know it was challenging to see the rock get back into the building. And that's kind of just where things just did pick up. But, you know, when the when the fighting between the humans itself was great. I mean, I don't want to say it was great. It was fine. It was it was serviceable. I liked it. It, you know, it was to satisfactory standards. But seeing the rock play Spider-Man all inside and outside of the building. It was just so unrealistic, you know. But I mean, you a lot of people already knew that going in. But if I'm what all that being said, guys, if I had to rate Skyscraper out of a one out of 10, I'm going to give this a six out of 10. Yes, a six out of 10. That is the lowest rating I can give this movie with this still being a positive as far as my scale is concerned.  I wasn't bored ever in the film. And I did like the characters and the action was decent. But it was just so unrealistic at times to where you just like, this is silly. This is crazy. Like, I mean, you know, a lot of action movies can happen. But this is they kind of just took it far. So I'm just going to give it a six because I still enjoyed it.  But guys, that is just my opinion. What have you what did you think about Skyscraper? Or do you want to see it? Have I turned you on? Have I turned you off? Do you agree with me or do you disagree with me? And let me know down in the comment section below. Let's get this conversation going and keep it flowing. If you like this video, go ahead and give me the thumbs up. And if you don't, that's fine. But you can still subscribe to my channel. You can also look me up on social media, Facebook, Instagram and Twitter. All that good stuff is right there at the bottom of your screen. And I made it very easy by providing a link to all that good stuff down in the description box below. But guys, I just want to thank you again for tuning in to my opinion slash review for Skyscraper starring Dwayne the Rock Johnson. And before you go, don't forget that my name is Brandon Keith Avery and that's just my opinion. Peace.