## Why is 0! = 1?

Why 0! equals to 1? Okay. Because it does seem to defy the idea of you multiply down until you get down to whatever one, and then you stop. I'm going to argue for this the same way I would argue a very sort of reverse of.. Oh no, not that. How would i do this? How do you argue that? Because you'll take it to be true, right? But it's the same problem when you say on 'a' square, but we define powers as you multiply this number by itself that number of times and That makes sense to you, but the definition breaks down The U7 definition breaks down when you go to cases like this So how do you argue it, or do you just accept it and don't think about it? *Laughs* Don't think 'bout it All right people let's play a game, okay Someone at the audience: Mario! *laughs* No I still with a number, shall we? Okay. Let's go. To power of one? Everyone: 2. 2 squared? Everyone: 4. 2 cubed? Everyone: 8. Okay. You can start to see what's going on, right? We don't need to… *Laughs* People who spent time on their phones recently know this numbers VERY WELL.

Now, ah… Now, you're used to do it forward aren't you? You do it forward and the numbers get bigger, okay, but just as equally You can go backwards and the numbers get smaller, do they not? As you power decreases you divide by two And then you divide by two and you divide by two and when you get to here We have no reason to think that the pattern changes right? so this pattern becomes this and And so we divide by two and you get this. And you keep on going and it keeps making sense Okay, now therefore Can you argue for me? Why is your factorial is what? Tell me what 1! is.

Everyone: 1. 2 factorial? Everyone: 2. 3 factorial? Everyone: 6. 4 factorial? *Laughs* Okay. So, this time, how do I go backwards? I divided by 4 and I divided by 3 then I divided by 2 Everyone: Oh my god Can i just say, can i just say… the reason why I bet a big deal that this is because See this is what makes maths It's what makes math interesting to me. You see math is, uhm, it's an imagined world That's the point of it, right? Like I know maths can be used to do stuff, and that's, that's nice, okay but um The point is that oh actually I'll come back to that in a second The point is that it doesn't matter if it can be used for something or not the the point is that it has a consistent system of rules. That's meaningful, okay? Here's the amazing thing right There was a guy. [there's] a guy, a french guy, and his day was for you, okay? And he was the guy who we earned he discovered this Have a look at this for a second.

What is this ah? Yeah, language for this. This is a wave function [now]. You don't know what wave function is. I just drew it okay, but Amazing thing about this. This is what, I mean, this is what fourier proved, okay? is that this wave function can be made up of can be Composed of just take a whole bunch of sine functions, right? The whole variety of them some of them will be big, right? Some of them will be small. So you have to change… let's say you have to change this coefficient on the front and you change the frequency, okay, and if you add enough of them together Okay, and so on You can make you can make anything, anything! You can even make weird looking things like this You like, I can make a function like that. It's a wave function. I know it doesn't look like it It's got straight lines, [and] what's with that, okay? If you add up enough wave functions Different ones like this, okay like this one.

You can give us a else now. Here's the interesting thing What was fourier after? He just thought this was kind of cool. It was like. This is interesting, right? I wonder if you can do that, and he gave it to go and it came, okay? Uh he was not at all thinking about practical applications, right? He was not thinking about, you know, a world of electric communications which uses this routinely in order to, you know, How does this thing know to convert weird stuff, which is in the air? into sounds Sounds, right? How does it do that? Answer: using these, but fourier wasn't thinking of those, here's just like: Cool! Let's just see what happens. And the application came later, almost every field of mass Complex numbers, like, why are we doing that for? They come up all the time for engineers, but that's not what the people who were thinking about them were thinking.

They're just like it's cool. Zero factorial equals one. It does make sense just like Something power of zero equals one.
Subtitles by: Instagram: @franckcid | Twitter: @franck_cid.

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## Rugzak als fitness tool? | Trainen als een militair | Military Workout #2

We as soldiers are in areas, such as here in the woods where there is no gym. But of course we want to keep training. And the resource we use today is actually the home of every soldier and that is the backpack. And we are going to make it heavier and then we are going to use this as a training tool. I have a 16 kilo bag, I put it in. And at home you can use and fill bottles of water. You can use garbage bags that fill with sand and stack them nicely and then you go with towels or with sleeping bags or with blankets are you going to fill up the case, so that you have a whole. You actually make your own fitness bag from a backpack. Okay, the first exercise is back squat. We will have the backpack on our back immediately You are ready.

Starting position feet is wider than shoulder width toes slightly apart. You split the ground so that you have strength on your thighs. We pick up the bag. Pick up from a straight back. And you put it on your back. You have to distribute weight evenly. Then you go as far as you can and the sales really come from your heel. So you work from your heel and you focus on the ground 3 meters in front of you. Yes then your head is proportional to your upper body This way you do 15 to 20 repetitions.

Okay, the next exercise is a bicep exercise. Arm muscle strengthening exercise. You stand, feet shoulder width apart you pick up the bag. Make sure you pick up the bag with a straight back and you distribute the weight evenly. We're going to curl the biceps. You are ready, elbows next to your body. Pulls up the bag and you stretch completely. In this way you are working on the bicep curl.

Just stand up. And this way you do 15 to 20 repetitions. Okay the next exercise is actually for the front of the shoulders. We'll grab that bag in the following way right away and pull that bag actually to our chin. Your elbows are high and won't go beyond your chin. That is injury prone And you lower the bag again. Looks like this, you pick it up. You stand up. Your feet are shoulder width apart. You pull the bag towards your chin and your elbows are high. In this way you are your front from your shoulders to training. This way you do the 15 to 20 reps. If we analyze a soldier who is operational in action, then this is a kind of failure that occurs very often.

Shoot, get ready, kneeling shooting position, from kneeling to standing and forward again. In this way, those men on the shooting range are quite often busy training that way. That's why we do this strengthening exercise. Because that's super good, that's bone strengthening. You actually grab the backpack on your back. And we are going to make a failure pass. What you do, you are ready and you take a step forward. You descend, and push off strongly, to starting position. Sag, push off forcefully, to starting position. That way you are busy training your legs. You do this exercise 15 to 20 times. That means 15 to 20 times with your left leg, 15 to 20 times with your right leg.

The next exercise is the back row. For the top, back of the back. We stand in front of the bag, feet shoulder width apart. You pick up the bag and this is actually the result of the rowing movement. It is equally important that your back is straight and not convex So you look ahead, your back is straight and this is how you do the exercise. 15 to 20 reps. The next exercise is mountain climbers for the abs Place your hands shoulder width apart on your backpack. From this position, is of course also super good for your core, you actually always jump feet. Okay this way you are doing mountain climbers and do 15 to 20 reps. You have now seen the entire series and we are going to train nicely.

Between the exercises you have 30 seconds of active rest, then you are nice to run. You come back and then you go to the next exercise. If you are a beginner you do 2 series and if you are advanced then you do 3 series Well train well. Don't forget to subscribe to this YouTube channel and have a blast with that backpack.

## The Perfect Gym for Resolution Breakers…One Time Fitness – Studio C

♪♪ Man: New Year's is just
around the corner,
and so are your resolutions, so give yourself
a membership at
One Time Fitness.
Here at One Time Fitness,
for a one-time 30-minute gym
membership experience.
It's just enough to give you
bragging rights
about going to the gym without all the self-loathing from never actually
going to the gym,
so you can feel free to come in
and warm up on the bike,
strike a pose.
Take 20 minutes
to write a caption
selfie to Instagram.
Get a drink, relax on the only
leg press machine,
accidentally creep
on the yoga people,
wish you were that guy, or even that guy. Get a drink, do lifts incorrectly, go down in weight, go down in weight, go down in weight. Grunt loudly while
lifting no weight
so you can feel
Instagram post.
Neglect to put the
weights away.
go in the locker roo–
Never go back in
the locker room.
Try to join the yoga people, then leave and never return. – See you later! – No you won't! Man: One Time Fitness,
because let's get real,
that's all you'll use it
for anyways.
-Thank you for watching.

and subscribe, all those things, but comment below about…
how you feel about… me. I want to know. Just give me the truth. What do the kids call it? Roast me? Don't roast me..

## 6 Creative Recipes Using 1 Can of Sardines ! (Part 1)

When you do it like this it means you're french. When you do it like this it means you're english, okay? When you'll do it like this means like you're a bastard Yes! Okay, so this is Alex listen I wanted to make a video about fresh food, but the thing is I don't have any fridge yet So the only thing I could find Is this: a can of sardines. So, I believe you cannot do any proper recipe with just a can of sardines, right? Wrong-wrong-wrong-wrong 6 Mind-blowing dishes now So true story before making this video. The only dish I could have think of when it comes to kind of Sardine would have been just Sardines on a plate with a hunk of bread on the side. It's not that it's not good…

It's just a bit repetitive. That was before because now I know that you can do so much more with just a can of sardines. And I'm gonna share -oops- and I intend to share all my recipes and all my discoveries with you guys That's the main purpose of this video otherwise. There's no point. "Hey guys, I'm making a video, but I'm not gonna share anything." So first off, you need to know five things about sardines.

They are cheap and yes, I realize that having this as my first point makes me look a bit tight Second, you can keep those out of the fridge for about, you know an approximate period of… Forever. Everything inside is cooked. Which I'm sure you will agree is safer considering the previous point. For the texture of the fish, the flesh itself is very fragile So you gotta take extra care when you deal with them. And five, it's on the fatty side. I mean sardine is an oily fish. Which is preserved in all so oil. Oil in oil it's not like a double negative It doesn't work this way.

That's it for the theoretical stuff So now to the practical stuff: the recipes Easy a bit less shorter or longer Italian, Indian, French, I believe there is one recipes for each and every one of you Marinated Sardines This is my take on a french classic called fish in escabèche sauce. I know "escabèche" sounds fancy But it's just about hot marination Garlic. A blood orange (a regular orange works fine). Parsley. Onions. Carrots. Celery. And a blend of spices. If you want to know your spices, watch my series called Mundus Aromaticus and start building a solid and useful spice rack Here I've got cloves, coriander seeds, cardamom, star anise, cinnamon, black peppercorns, pink peppercorns Place a saucepan over medium heat Drop in a third of a cup of vinegar.

To bring more flavors in I'm adding some pickling juice Does it look weird? Pickling juice is just the most precious gem for lazy and smart cooks. It has perfect ratios of salt and acid Squeeze the orange juice in for tang and sweetness and grate the skin Next drop everything in saucepan except for garlic and parsley You need to cook and infuse all those flavors for about 8-10 minutes just to get rid of the first acidic kick In the meantime take a can of sardines place them in a dish.

Those were preserved in olive oil so I'm using that liquid as well Add a few bits of garlic cloves and some parsley Gently [pour] over the hot marination and let that sit in the fridge overnight enjoy those cold on a garlicky toast Tangy, intense, crispy, spicy, and so fresh. This is definitely my kind of recipe Right guys, I'm editing this video right now, but I reckon it's time for a quick studio update So this very quick studio update is gonna be all about wins and fails Soap dispenser on the wall: Fail.

Workshop boxes to organize all the video gear: Win. Fluorescent tape on the edges of my shelves: Fail. Temperature control electric kettle: Win. Guys, that's it for the quick studio tour. Back to the sardines. Glazed and smoked Sardines. This one is inspired by a Japanese dish called Unagi Don. So classically, it would be eel fish glazed with sweet soy, sake, and mirin sauce, and broiled over a charcoal grill So if I may, there are a few challenges in this recipe because I've got no sake, no mirin, no charcoal grill, and no eel Maybe we change recipe? No! We don't change recipes! Now, you just build on something in a saucepan over medium-low heat Drop in half a cup of water half a cup of vinegar 1/2 a cup of Molasses, or a full cup of dark sugar And a cup of soy sauce I don't have a charcoal grill so to get the same barbecue effect, simply add a couple tablespoons of smoked Paprika in the Saucepan and cook that for 10 minutes on low heat To get a silky and shiny finish, add a teaspoon of corn or potato starch diluted in a bit of water Now open a can of sardines So those are not preserved in oil, just water because I felt otherwise the whole dish would be too heavy.

Thoroughly Coat each filet in the sweet and sticky sauce and then place it on top of warm and fluffy white rice Add a few spring onions, sprinkle some sesame seeds, and Voilà! Sticky Smokey caramelized and the tang from the sauce cuts through the fattiness of the fish Sardines and Fennel pasta, it's a dish that is Directly inspired by a dish I had in the very south of italy in Sicily. It was called Pasta Con Le Sarde. Italian viewers, discretion is advised. This is not exactly pasta con le sarde. You know you guys tend to be a bit picky when it comes to Italian food? Pre cook a handful of pasta. The best would be bucatini but spaghetti is great too. Stop like two minutes before fully cooked strain, but keep some water for later Now we chop an onion Garlic clove and some parsley.

Trim off the tiny tender leaves from the fennel, and chop them up roughly Now chop up the fennel finely into strips Rehydrate a handful of raisin by soaking them in boiling hot water Place a pan over medium heat. Add a drizzle of olive oil. Drop the onion the garlic, the raisins. To give it a nice color just use a Saffron if you've got some and you're wealthy. Or just you know tomato paste if you're let's say, you know more casual (broke!) Add fennel strips, mix that up. Add cashews or any nuts you have. Now pour in some leftover water from your pasta. Close the lid and [cook] that for ten minutes on low heat Then add your pasta, but do not overcrowd it Open a can of sardines and add them in chunks Sprinkle with Fennel tops, Parsley, breadcrumbs, and lemon zest Finally a nice squeeze of lemon Everything works great in this dish and not only because it's Italian Sardines and Pasta bring some richness Lemon Parsley and Fennel take care of the freshness you also got some good crunch from the cashews and the breadcrumbs Humble and Flavorful.

That could be a definition of Italian cuisine So guys that's it for part 1 in the next part I will show you three more recipes that you can rustle up with just a can of sardines. Truth be told, my favorite dish is in the second video of course it is So now people, it's your turn I want to know which dish you cook with just a can of sardines Bye-bye, take care, salut!.

## Dutch Oven Cooking 2: Basic Meals – Texas Parks and Wildlife [Official]

[music] Hello folks! We're out here
again at Riverbend park in Smithville, Texas. Today we're gonna do
1-pot meals. We're going to do a
chicken stew, a beef stew, and a pot of beans. Simple, easy, anyone
can do it and they've got a lot of
liquid in them which is always good for
your first time out. Now let's get cookin'! [sizzle] Now we've got some vegetables,
some beef and some chicken that
I've prepped.

Okay, we've got some
meat here and we're going to brown
it just like you would at home to get a good color and
some flavor. Once we get it browned, we're going to add some liquid add some spices. I picked some fresh herbs
out of the garden today. And then we're going to put
the vegetable liquid in and we'll stack them and
cook them and we'll talk about that
temperature control which is critical on the
open fire. What we've got here is a
3-stack. It conserves a little
bit of energy in the coals. And on top I'm making a
little pot of beans. So we've got some ham
hocks coming in here. And then all this stuff
needs to cook just like if you were at home same amount of time for it to get nice and tender
and done.

cooking is temperature control, just like your oven at home
when you turn the knob. Here we don't have that.
We've got to do a couple of little things to
test it. There's 2 rules that I use. One is a 3 second rule. I hold my hand 6 inches
above the dutch oven 1001, 1002, 1003 If it's a little bit of
discomfort, I know that the temperature

Since most things cook at
350 degrees, that's what we're trying to
get to 350 degrees inside. If you use brickettes, which I suggest you do
your first time, there's a simple rule there:
2 under, 2 over. For a 12 inch dutch oven,
I'm going to put 10 brickettes on the bottom
and 14 on top. On a good day with low
humidity and low wind that'll get you up to 325 to
350 in your dutch oven. We finished our 1-pot meals. This is a great way
to get started A few minutes ago I dropped
some dropped dumplings in there in a dutch oven with a liquid
recipe is very forgiving.

Look at that. Isn't
that great? In the next segment,
we're going to talk about some more exotic meals, different things that you can do
with your dutch oven at home to put out a 7 course meal for
all your friends and family. [music].

## [Rookie King BTS Ep 2-1] Who is the best chef? Cooking survival between the 7 members!

Who is the best chef in BTS? The cooking war begins Bulletproof return The secret of the second album Punish quickly Bulletproof Punishment Show Free member's collection Don’t have any favorite songs? Don't know what song to download? The first reason to choose bulletproof is Will not be eliminated Second, protect everyone I am mc rm from BTS Wouldn’t you be happy to hear about cooking? A cooking contest will be held today Open now Today’s topic is rm's birthday dishes The cooking war between the two groups is about to begin 40 minutes to finish cooking The winner rests, the loser finishes I don’t know why I started early There are ingredients in front Need to determine the menu Start a meeting We prepare seaweed soup I'm very curious what kind of dishes you would choose Let's choose the ingredients now Because it’s your birthday, you have to prepare seaweed soup We are Stir-fried Rice Cake Pasta with Miso Tomato Sauce They wanted to make seaweed soup, but they snatched it away Now give 40 minutes Start now Feel so confused Is a bribe really tasty We have no meat do not know what to do with it He asked me to chop vegetables But I can't do it I don’t know what to do, so I copied all the chili sauce I wanted to smoke I like sesame oil, so I put a little more The meat is amazing Meat and onions are enough v Very ignorant of cooking, but very hardworking Never seen v cuisine v is critical All the ingredients are copied together But Jimin took it and copied it again I can't help The seasoning package is the best Only a little bit The best seasoning package Only five minutes left it's finally over Try it with other judges So salty I want to hinder them Who did this? How could pork be like this? Smells so strange Put the soybean paste and many more Smelly feet The subtopic of cooking is vomiting Is actually punishment too salty v's seaweed rice is really angry It seems they don't like me Can't eat it Let's have a meeting Actually not nervous jimin group is red spoon The suga group is a blue spoon Three two one jimin group win The prize for the winning group is a merchandise coupon Let the failed group finish washing The bulletproof cooking war is over j-hope is a bit greedy Thank you Jungkook and Jimin Actually mine is delicious too How can this be bad? Later Secrets of Bulletproof's second album Stay tuned