Recent content by chinye11

I want to try a different approach here since I am having difficulty expressing my problem. Take the set of all real numbers in 1 dimension, i.e. R. Now say I add the value i to the set and name it Ri. Is this new set Ri a subspace of R? In other words is it a requirement must a subspace...

The other 2 posts are correct: Your solution 1 uses logx(xn) Your solution 2 uses (logx(x))n An easy way to avoid this is to use brackets whenever applying a function:

Thank you, Regarding the subset not subspace point. I am not sure about this since all the definition I can find for subspace say "given a subset V of a vector space W", albeit maybe with different letters, " V is a subspace of W if: 0 ε V if vectors {x,y} are in V then x + y is also in V if...

Homework Statement The original printed problems can be found as attachments. The questions ask if a set S is a subset Rn. Give Reasons Question 1.) S is the set of all vectors [x1,x2] such that x12 + x22 < 36Question 2.) S is the set of all vectors [x1,x2,x3] such that: x2= 2x1 x3 = 3x1...

OK, Thanks very much, I realized that I had applied the shifting theorem to an equation of the form: y(t) (H(t-a)) when y(t-a) (H(t-a)) is required This dropped a H(t-1) term which was the missing term.

Homework Statement y(t) solves the following IVP y''(t) + 2y'(t) + 10y(t) = r(t) y(0) = 2 y'(0) = 3 r(t) = 0 if t < 0 t if 0 ≤ t ≤ 1 0 if t > 1 Demonstrate that the laplace transform of y(t) is Y(s) = \frac{2s+7}{s^{2}+2s+7} + \frac{e^{-s}}{s(s^{2}+2s+7)} +...

yeah sorry that was a typo, so if I integrate through z then y then x, should i get the result of 1/6, I'm new to this and have no way to check the answer.

Homework Statement Let D = { (x,y,z) } such that x^2 + y^2 < 1 and -1 < z < 1 } denote the interior of a cylinder. Compute the triple integral of ( xyz dxdydz ) Homework Equations The Attempt at a Solution Ok so it seems to me that the boundaries should be as follows, -1< x...

no i had a miscalculation in one of my calculations the correct answer is I believe - 2.64 and my mathematica code is plotting it however I have to zoom into see the Julia set, it corresponds to a piece of the thinned out part of the mandelbrot set seen on the left of it as you said. While I...

Help with Complex quadratic forms Homework Statement The question is to plot the julia set of the logistic map f [x] = 4.4x(1-x). I know how to plot the graph of z^2 + c for any given c using mathematica and I'm pretty sure its possible to convert any logistic map to the form z^2 + c but i...

Z/14 is not a group under multiplication because not every element has an inverse, my bad didn't check it.

Homework Statement I've just started to study group theory, and i keep encountering questions where no operators are specified so i was wondering if there was a conventional operator that was meant to be used. For instance I had a question to prove that a cyclic group of order 14 is isomorphic...

thanks for the clarification

To answer JonF: ({x,x},{y,y}{z,z}) is an equivalence relation. As stated above: For a set to be not to be symmetric we must have (x,y) but not (y,x) For a set to be not to be transitive we must have we must have (x,y) and (y,z) but not (x,z). so my set must have [{x,x},{x,y}{y,y}{y,z}{z,z}]

For a set to be not to be symmetric we must have (x,y) but not (y,x) For a set to be not to be transitive we must have we must have (x,y) and (y,z) but not (x,z). So far we have a set which requires ({x,x},{y,y}{z,z},{x,y}{y,z}) but must not have {(y,x),(x,z)} Am i right in saying that (z,y)...