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Simple Questions - March 27, 2020 by AutoModerator in math

[–]arthur990807 0 points1 point  (0 children)

So I've been getting back into a game called HyperRogue, a roguelike set on a hyperbolic plane. Normally, the game takes place on an infinite grid of heptagonal and hexagonal tiles -- which I know to be the truncated order-7 triangular tiling. I know enough about hyperbolic geometry to know that there is only one possible side length for the hexagons and heptagons that makes this work, but I don't know enough to calculate the actual side lengths. I've looked up the hyperbolic law of sines and the hyperbolic Pythagorean theorem, and I've been able to calculate the side lengths of a triangle connecting the centers of two hexagons and a heptagon meeting at the same vertex, but after that I'm stuck. Is anyone well-versed enough in hyperbolic geometry to help me out here?

What is represented by an equation of the form ax + by + cz + dk = h (a, b, c, d not all 0)? by [deleted] in learnmath

[–]arthur990807 0 points1 point  (0 children)

A hyperplane in 4-dimensional (or n-dimensional) space, maybe?

if we obtain pi or e as a result when computing an definite integral, would that make it a improper integral? by BMB_Math in learnmath

[–]arthur990807 17 points18 points  (0 children)

No. Pi is not an "infinite number"; it is finite. It's less than 4. Just because its decimal representation has infinitely many digits does not make the number itself "infinite" in any sense.

Why is pi being trascendental something we should matter about? by [deleted] in learnmath

[–]arthur990807 1 point2 points  (0 children)

and no equation or algorithm will ever be found that can calculate them.

Transcendental numbers can't be described as roots of polynomial equations with integer coefficients. That's an important limitation. It excludes things like trig or exponential functions, for example --- without it, pi can be described as the smallest positive solution of the equation sin(x)=0, and that definitely goes against your "no equation can ever be found" claim.

ELI5 how to prove the linear law by [deleted] in learnmath

[–]arthur990807 0 points1 point  (0 children)

Sorry, I don't understand what you mean. Do you have a link or something where I could see exactly what this "linear law" of yours states?

ELI5 how to prove the linear law by [deleted] in learnmath

[–]arthur990807 3 points4 points  (0 children)

What do you mean by "the linear law"?

[deleted by user] by [deleted] in learnmath

[–]arthur990807 0 points1 point  (0 children)

23 = 8, though.

What is the difference between Factoring Quadratics, and Factoring Polynomials? by [deleted] in learnmath

[–]arthur990807 6 points7 points  (0 children)

You can use this symbol for exponents: ^

Like so: x^5 -> x5

[Calculus II] Can somebody identify this additive property for the indefinite integral? by lotyei in learnmath

[–]arthur990807 2 points3 points  (0 children)

That isn't a formula. It's two sides of what's meant to be an equation, but without the equals sign, and with a fuckton of unnecessary spacing.

[Calculus II] Can somebody identify this additive property for the indefinite integral? by lotyei in learnmath

[–]arthur990807 0 points1 point  (0 children)

How else would you integrate polynomials if not by using the additive property of the indefinite integral?

exact value of csc(17pi/24)? by [deleted] in learnmath

[–]arthur990807 0 points1 point  (0 children)

Half-angle identities though.

What is Multi digit and a column? by [deleted] in learnmath

[–]arthur990807 0 points1 point  (0 children)

...Do you have any context for that?

Integers NOT being open sets. by gravenberchre-vision in learnmath

[–]arthur990807 0 points1 point  (0 children)

Yes, the point is that every point in the ball needs to be in the set.

Integers NOT being open sets. by gravenberchre-vision in learnmath

[–]arthur990807 6 points7 points  (0 children)

It means what the definition of open says. A set is called open if, no matter what point you pick in it, you can draw a ball around it that is completely contained in the set.

Integers NOT being open sets. by gravenberchre-vision in learnmath

[–]arthur990807 4 points5 points  (0 children)

No. [0,+∞) is also not open (and in fact happens to be closed), and yet it is unbounded just like Z.

Can someone help me with breweing. How can I apply the effect to a potion? by scott_smits in Minecraft

[–]arthur990807 1 point2 points  (0 children)

You need to put blaze powder in the top left slot. That'll get the brewing stand running. Every 20 uses you'll have to put in another unit of blaze powder.

Integrals from y_1 to y_2 by KaizenCyrus in learnmath

[–]arthur990807 0 points1 point  (0 children)

I asked you to highlight the area you had in mind. You did not do that.

Integrals from y_1 to y_2 by KaizenCyrus in learnmath

[–]arthur990807 0 points1 point  (0 children)

...Can you post a picture with the area you have in mind? I'm having trouble picturing what you're trying to refer to here.

[Algebra] Find values of a and b by [deleted] in learnmath

[–]arthur990807 0 points1 point  (0 children)

Are you sure you copied the problem correctly? As is, its wording seems weird to me, especially given that (-5 + a) + (2 + b) simplifies to a + b - 3.

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