Searched this one up for a proof, interesting question and clever solution. I couldn’t figure out a general solution by myself.
2 Likes
TIL about the Lagrangian Standard Model and Quantum Field Theory, noice. I might ask my Physics Major friends if he knows what this even means. Also, nice use of exotic Greek letters, a certified mathematic classic.
2 Likes
woah… interesting
found this thumbnail online and it seemed interesting. im assuming the goal is to find the area of the blue area inside of the 4 arcs within the square
This is tangentially related to the topic on hand, but i feel like i should say this joke:
What’s the zodiac sign for a donut?
A Torus!
1 Like
Is 0/0 equivalent to 0 or 1?
1 Like
0/0 is undefined. one way to think about is is that:
If 0/0=x, then by distributing, we can get 0x=0. here, x can be any number really. 1, 2, pi, 5.55, etc. this is because no matter what, it will multiply with zero and become 0. as there are infinite answers, there is no one main answer (i think)
1 Like
in a 0/0 form, use limits and apply l-hospital
Dont flame me for saying it as L hospital
2 Likes
Quadratic form: ax^2+bx+c=0
Vertex form: a(x-b)+c=0
1 Like
My way of thinking about it is thinking of it as 0 over 0. 0 = 0, so it’s 1 because the numerator and denominator are equal. However, 0 is nothing, so it’s really nothing over nothing, so it’s 0. However, you have to remember that the numerator and denominator are equal, and it just repeats.
1 Like
0^0 is 1.
(10 character post)
1 Like
Is it… 928?
1 Like
funny thing my calculator
10000-10000= 8
must’ve been high on primo😔
1 Like
Is there a way to find roots of a number without guessing and checking? Every single strategy I found on Google pretty much just said to find a value that, when squared/cubed/whatever equals the number you’re trying to find.
1 Like
Yesterday was a hard day at mcdonalds, after flipping some burgers i decided to take some rest. I opened the freezer and saw last frozen patty, which was consumed immediately. It looked kinda greenish, but i decided it is just fancy lightning: mcdonalds night crew is darker in the winter After that i collapsed and started hallucinating. Weird customer come to me and said that sqrt(sin(x)^2) is differentiable at x = 0. That terrified me, i quickly started to prove it wasn’t, it was hard, my mind was weakened by the unfresh patty, so it took some time. I used some gamma-epsilon and put some 16 piece chicken mcnuggets together. I awakened as soon as i proved that the function is not differentiable at x=0 and the customer just tricked me…
4 Likes
no
2 Likes
0! = 1 because there is only 1 configuration of 0 things, so it’s 1.
If x is a negative number in (x)!, then (x)! is undefined because factorials are x(x - 1)(x - 2)… (x - (x - 2))(x - (x - 1)). In other terms, factorials are just multiplying a number x by all the whole numbers less than x until you reach 1. For negative numbers, every single number other than that number and the numbers greater than it are being multiplied. So, (-3)! would be (-3)(-4)(-5)(-6)(-7)… all the way until negative infinity, which is unreachable. This proves (-3)!, and any other negative number factorial, is undefined.
1 Like
Welp, after reading tons of Reddit posts, I found out about the gamma function, which extends the factorial function to noninteger numbers. Pretty cool.
Anyways, some other stuff I’m just gonna throw out there:
- If you ask a heck ton of people to choose a number between 1 - 100, then the most chosen number is probably going to be 37 (or 73).
- Speaking of asking an unnecessarily large amount of
friendstotal strangers a question, if you ask a bunch of people how many of an item is in something, then you’re probably going to get an answer that’s really close to the actual number. In other words, this.
1 Like
Math is yummy
1 Like