My post count is currently a perfect square.

[Froge]

First person to post the root wins 1 rep point.

GO!

Spoiler below!

teh winrar is JAP

also my post count is no longer a perfect sq

And to keep this thread from being locked, discuss math.





^In answer to the question he asks about the lightbulbs, I'd say that when the limit of the interval between switching is 0 the bulb is half on and half off

Spoiler below!

like electrons

[PutraenusAlivius]

37 is the root

[EDIT: After viewing the video, I gotta admit, my mind was really fucked up.]

[failedALIAS]

How do I math?

[Froge]

How do I math?

most of the time, you solve for x

sometimes you need to use a graph

if you're stuck, plug the numbers in a formula

or derive a formula by yourself

if there are no numbers, then pretend the letters are numbers

take things to the limit

[failedALIAS]

---

waht?

[Focalize]

Why so series?
btw 1+1-1+1-1+... is limitless. Hence you pick something in the middle i.e. 1/2.
Got any complex problems with legitimate arguments?

[failedALIAS]

Why so series?
btw 1+1-1+1-1+... is limitless. Hence you pick something in the middle i.e. 1/2.
Got any complex problems with legitimate arguments?

WHAT!? I DON'T GET IT! WHY U ALL SO MATH!?

[PutraenusAlivius]

i dont know how to math

[Froge]

i dont know how to math

enjoy my crash course

-f(x) is a formula (function) returning 'y' given x and can be plotted on a cartesian plane

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so if f(x) = x + 3, that means when x = 3, f(x) = 6

-logarithms return the exponent given log base and a value

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log(8) with base 2 equals 3 since 2^3 = 8

-quadratics (f(x) involving x^2) look like bridges, no, not that Bridge

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x^2 -5x + 6 is an example, which can be factored to (x - 2)(x - 3)

-you can divide functions

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just use long division and pretend the variables are numbers

-if a function has x in the denominator (called a rational) ya better make sure dat x ain't zero

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or you get an asymptote, or an inapproachable line

-Trig functions look like waves, except tangent 'cuz tangent is a hipster

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tangent on a graph is impossible to describe so go google it

-Inverse trig or arc functions return the angle given a trig ratio

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e.x. since sin(π/6) = 1/2, therefore arcsin(1/2) = π/6

-|x| means absolute value of x and it means x is always positive, so |-3| = 3

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so f(x) = |x| means f(x) is always positive and it will look like a 'V' shape on a graph

-x! means x factorial, or multiplying x * (x - 1) * (x - 2) * .... * 3 * 2 * 1 for x > 0

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Factorials can calculate combinations, like the number of ways you can arrange the letters 'ABCD'. Since there are four letters, 4! = 4 * 3 * 2 * 1 = 24 ways you can arrange those letters

-a vector is a direction on a coordinate plane

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So a vector (3, 1, 2) means going 3 units on the x-axis, 1 unit on the y-axis, and 2 units on the z-axis, where x-axis is length, y-axis is width, and z-axis is height (usually)

-You can multiply vectors to get a scalar product or a vector product

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If scalar = 0, the vectors are perpendicular, and the vector product is a third vector perpendicular to the plane containing the two original vectors

-A plane is represented by the equation of the vector perpendicular to it and a point on the plane

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So if the vector (4, -1, 3) is perpendicular to the plane, then the equation of the plane is 4x - y + 3z = d where you can solve for 'd' if you know a point on the plane (just plug the point coordinates into the equation)

-√-1 = i. That means i * i = -1.

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i is called a complex number and it's complex awrite

-A complex number is also a vector.

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A complex number 2 + 3i can be described by the vector (2, 3) meaning that you go 2 units on the real axis and 3 units on the imaginary axis

-The argument (arg) of a complex number is the angle formed by the vector

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arg(√3 + i) means arctan(1/√3) which is equal to 30 degrees or π/6

-A derivative is a function f'(x) which gives the slope of f(x) given any x

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there are simple rules for finding derivatives which you can google

-An integral is the area beneath a function f(x) from x = a to x = b

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Integrating is much harder so go download Wolfram Alpha already

-You can rotate a function f(x) by 2π around an axis to get a volume

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Volume = π * ∫f^2(x) dx

-Sometimes you take an integral from a real number to infinity

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If the function decreases fast enough, you actually get a non-infinity value

-You can also find the value of a sequence at its infinite term

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If the sequence approaches some limit

-A series is when you sum terms of a sequence, sometimes to infinity

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If the sum to infinity exists (by comparing the series to another series or integral), the series is convergent, otherwise it is divergent

-You can turn a function into a mclaurin series by using this formula which nobody wants to derive

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f(x) = f(0) + xf'(0) + (x^2/2!)f''(0) + (x^3/3!)f'''(0) + ....

-Differential equations relate variables of a function y = f(x) to its derivative

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ex. f'(x) = y + 2x

-You can solve differential equations using a lot of whacked out strategies

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Like integrating both sides

-Binomial expansion: (a + b)^n = a^n + (n!/[(1!)(n - 1)!]) * a^(n - 1) * b + (n!/[(2!)(n - 2)!]) * a^(n - 2) * b^2 + ..... + (n! / (n - 1)!) * a * b^(n - 1) + b^n

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Called pascal's triangle

-Probability is the most confusing unit in maths.

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So far only Bridge appears capable of solving it.

-The probability that ALIAS is alive next year is 98% and the probability that Shimeji is alive next year is 99%. If only one of them turns up alive next year, what is the probability that Shimeji is the one living?

Spoiler below!

You probably need to use this formula

-If I can win 1/3 of the time against Bridge in chess, what's the chance I've won 5 times after 8 games?

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Use binomial theorem, (1/3 + 2/3)^8 and look for (8!/[3!*5!]) * (1/3)^5 * (2/3)^3

i.e. not likely

-Induction is when you have a proposition "P(n)" (like, 7^n - 1 is always divisible by 6) and you want to prove it for n >= 1

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Prove that P(1) is true and then prove P(n + 1) is true for all P(n)

- ???

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congratulations you passed high school math

something that ALIAS didn't, btw

[CarnivorousJelly]

Fun fact - they took probability and pascal's triangle out of high school math in Alberta (a province/state/land-mass-with-imaginary-political-borders in Canada) last year :p Even the advanced placement kids (me!) didn't do it. In other words, you taught me something - kind of - well, you gave me the formula for something :D

Also, that area under function stuff is definitely calculus. Definitely. Lots of fun.

Spoiler below!

No, actually, I enjoyed it so much that I took the harder version of the course and then proceeded to bang my head against my textbook in despair when we started doing related rates.

But seriously, I never want to see a question about an upside-down cone-shaped basin filled with chocolate/molasses/gasoline/water draining at a given rate and being filled at a different given rate ever again.

Although if you gave me a question like that, you could watch me impulsively attempt to solve it like a trained monkey and make a complete fool of myself :D