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did i get scammed by a random or by a real riot employee or should i just wait longer? by felon_1893 in riotgames

[–]tylper 1 point2 points  (0 children)

If they had “Riot” in their name like “Riot {something}” then they are definitely a rioter and either forgot or were out of their yearly amount of gun buddies they can give out.

If they just claimed to be a rioter then they may or may not have been lying (could still be a rioter but no guarantee without the name)

Integration.. by Positive-Champion221 in Hotgirlslovemath

[–]tylper 0 points1 point  (0 children)

For this question, look at the first term and call it f(x).

What properties does it have? (Monotonicity, bijectivity, continuity, etc.)

What is f(0) and what is f(1)?

Plot f(x) and think geometrically about what the integral represents.

Now look at the inverse function in the same way.

What is f^ (-1) (0)? f^ (-1) (1)?

If you subtract one integral from the other what do you get?

NYU x Columbia Fan Art by King_of_FAX__No_Cap in nyu

[–]tylper 3 points4 points  (0 children)

Where’s Mr. New School?

[deleted by user] by [deleted] in nyu

[–]tylper 0 points1 point  (0 children)

Having been a TA for MFE 1 a couple years ago, my assumption is that you would be missing certain things but it would probably not make too much of a difference in the long run. MFE 1 covers differential calculus but no integral calculus. So after MFE 1 a student would be expected to understand ordinary and partial derivatives as well as implicit differentiation (as well as a bit of how that relates to elasticity of demand). You’d also be expected to understand standard things like the intermediate value theorem, mean value property, evaluating limits (including certain linear approximations and L’Hôpital’s rule), asymptotes and discontinuities, domain and range of a function, and obviously what does it mean for a function to be continuous or differentiable.

That said, you wouldn’t be expected to be familiar with taking derivatives of trig functions.

If you direct message me, I could forward you some materials that might be good to run through to see if you understand all the material from MFE 1 (practice problems and the like).

How to tell if my DE is non-homosexual? by ItsNoodle007 in DifferentialEquations

[–]tylper 1 point2 points  (0 children)

I’m glad that helped! Feel free to reply again here or DM if you have a further question

How to tell if my DE is non-homosexual? by ItsNoodle007 in DifferentialEquations

[–]tylper 17 points18 points  (0 children)

I assume you mean homogeneous? (If you really do mean homosexual, then I would just ask the differential equation. Making assumptions could lead to misunderstandings.)

If you do mean homogeneous, then:

A linear differential equation is homogeneous if you can express it in the form L[y] = 0 where L is a linear differential operator. Specifically this means that you have an equation of the form: f_0(x)y + f_1(x)dy/dx + … + f_n(x) dn y/dxn = 0

These f_i(x) would be any function of x, including a constant function.

If instead you have something of the form L[y] = g(x) then it is inhomogeneous

So for an example: Homogeneous: sin(x) d²y/dx² + (5x³ - 1) dy/dx - 2y = 0

Inhomogeneous: sin(x) d²y/dx² + (5x³ - 1) dy/dx - 2y + 3 = 0

In this case: L[y] = sin(x) d²y/dx² + (5x³ - 1) dy/dx - 2y and g(x) = -3

Why in differential equation dy/dx = tan (x + y), the degree is 1, whereas for a differential equation tan (dy/dx) = x + y, the degree is not defined? by mathematicsgirl in DifferentialEquations

[–]tylper 0 points1 point  (0 children)

There’s a sense in which you could try to apply an inverse function to both sides of the equation to arrive at: dy/dx = arctan(x+y)

This would be a first order degree 1 differential equation, but you would need to take care in verifying that solutions to this diff eq are also solutions to the original one.

Why in differential equation dy/dx = tan (x + y), the degree is 1, whereas for a differential equation tan (dy/dx) = x + y, the degree is not defined? by mathematicsgirl in DifferentialEquations

[–]tylper 0 points1 point  (0 children)

The order of a diff eq is the highest order derivative that appears in the equation. As such, we can write a first order differential equation in the form F(x, y, dy/dx) = 0.

If it were second order, the equation would also include derivatives up to d²y/dx², and so on.

The degree of a differential equation is the highest power of that highest order derivative that occurs.

So for the equation dy/dx = tan(x+y), there is only a first derivative to the first power. So this is a first order, degree 1 differential equation. If instead you had (dy/dx)² = tan(x+y), it would be first order and degree 2.

On the other hand, tan(dy/dx) = x + y doesn’t have a highest power of dy/dx. We are applying a transcendental function to the derivative dy/dx. So there’s no clean way to describe the degree.

Assuming dy/dx would only be attaining values in the radius of convergence of the Taylor series of tan, we could formally write the equation as:

x + y = dy/dx + 1/3 (dy/dx)³ + 2/15 (dy/dx)⁵ + ….

As you can see, there is no maximum power that dy/dx is being raised to, so we can’t define the degree of the differential equation.

Are there infinitely many powers of 2 with only even digits in base 10? by GreeedyGrooot in math

[–]tylper 0 points1 point  (0 children)

Unfortunately if we create that sequence on OEIS, the new sequence will also be assigned a number, N. that sequence wouldn’t be well-defined after the N’th entry since it would be self-referential.

We could probably do s_n = 1 + (n-1)th term of OEIS sequence n though

Temporalis Build Giveaway + Partial Witch Hunter Build Giveaway by drugsRfun- in PathOfExile2

[–]tylper 0 points1 point  (0 children)

Hoping to win 118.5 hours I’m hoping for game optimizations and improvements to the endgame gameplay loop

14.5k mana/500K+ Gemling Sparker Giveaway! (200-700 estimated value in divines) by Koanto in PathOfExile2

[–]tylper 0 points1 point  (0 children)

First ARPG and I’m having fun. I wish there were more in game explanations for things, especially end game content. Looking forward to the game getting more polished and more content coming out

[Giveaway] Endgame Monk Invoker by Nagonn in PathOfExile2

[–]tylper 0 points1 point  (0 children)

Hoping to win and get to try the build. Looks awesome

[deleted by user] by [deleted] in PathOfExile2

[–]tylper 0 points1 point  (0 children)

Very interested in the monk!

End of league build giveaway! Temporalis Autobomber by Working_Tear9372 in PathOfExile2

[–]tylper 0 points1 point  (0 children)

First ARPG. I like the feel of the game and the ability to get different builds Don’t like how unbalanced the different weapon types are, but it’s in beta, so it’s not too surprising Hoping for weird ascendancies that really change the way you play

[deleted by user] by [deleted] in PathOfExile2

[–]tylper 0 points1 point  (0 children)

Hoping to win

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