even Definition and 664 Threads

I can't even find words on how to ask this question. My father brought it up to me and I don't know how to answer it... I am at a fixed location you take off at near light speed away from me, 5 years later I look up in the sky and you would almost be 5 light year away from me. Now because...

Odd number of terms so there is a middle term. It is equal to 0. Since C(n,k)=C(n,n-k), abs(k/n - 1/2)=abs([n-k]/n - 1/2), and what's in the abs() increases and is positive k goes from 0 to n/2 -1, the sum is twice the sum of the first n/2 - 1 terms, 2*(1/2 - k/n)*C(n,k). Added C(n,k) from 0...

Hi! I have calculated various eigenstate wavefunctions for a one-dimensional system of a particle in a potential. The potential is an even function. All the wavefunctions have become either even or odd functions which I understand why. The ground-state wavefunction has always been even, is...

Homework Statement Prove: If a and b are prime numbers larger than 2, then a + b is even. The Attempt at a Solution Can i just say that prime numbers larger than 2 are odd and then prove that the sum of 2 odd numbers is even. And can i say that prime numbers larger than 2 are odd because...

I am illustrating this via both questions and an experiment both of which are conceptually are dealing with the same idea. http://en.wikipedia.org/wiki/Coincidence_counting_(physics ) Question: 1 a) if there were zero noise, and only single photon was sent, do we need a co-incidence...

This is in my book: exp[2\pi i(hx+ky+lz)][1+exp(\pi i(h+k+l))]=2exp[2\pi i(hx+ky+lz)]\cos^2[\frac{\pi}{2}(h+k+l)] And in order for the cosine not to be zero, h+k+l must be even when we want to see the reflection. But I think that the result should be exp[2\pi...

take a cunductive wire. coil it (for conventional space) then run electrons through it with 8.98755179 × 10^16 J (the same number for the speed of light squared) of energy. ( i realize that doing that is nearly or completely impossible). using the equation m=e/c^2 e and c^2 are the same...

Homework Statement Prove by direct proof that 5x-3, where x is an integer, is odd for all even x. Homework Equations N/A The Attempt at a Solution Let x=2a, where a is an integer. It follows that 5x-3=10a-2-1=2(5a-1)-1. Although it is obvious, I don't know how to logically prove...

Hello all, I am about to go into my 2nd year at my university and all I can say is that my first year was incredibly stressfully and filled with depressing downturns. Here it goes: 1.) I did not pass any placement exams for the maths (was not paying attention in High School) and was unable to...

Homework Statement If the point (6, -12) is on the graph of y = f(x), which point must be on the graph of y = f(-x/3 + 6)? M/C a) (-36,-12) b) (-24, -12) c) (0, -12) d) (16,-12) The Attempt at a Solution First of all, I am a little confused why doesn't the y value change? Why is it staying...

Guys, I found this Downfall parody video about how much Hitler hates Jackson EM book: Apparently, even he can't stand Jackson after one full semester of EM course. :D

Homework Statement If a signal x(t) is an even function, how do I show that its Laplace transform X(s) must be even as well? Homework Equations X(s) = Integral(-inf,inf) of x(t)*e^-st dt The Attempt at a Solution I can show this for specific functions x(t), but how would I show this in...

hi, I want to ask you something about the equation in the quantum which is called like EVEN and ODD function and we are solving according to this values and when the functions have been even and odd, we re saying that is equal to zero like that.. I am wondering actually, We are saying...

Homework Statement If a function is even or odd, what can one conclude about its inverse? The Attempt at a Solution Let f(x) = f(-x) f-1(x) = f-1(-x) Let g(x) = -g(x) g-1(x) = -g-1(x)

For the series sum(n=1)(inf) (-1)^n*a_n where a_n = 1/n when n is even and 1/n^2 when n is odd, is it divergent?

The more people with whom you trade the richer you get, regardless of whether they are across the street or across the world; the fewer with whom you trade the poorer you get. If you could not trade with anyone you would have to make everything yourself and you'd be very poor or dead.

Homework Statement http://img508.imageshack.us/img508/5761/calculus01question.jpg Do they mean 1/x? I'm not sure what they mean by 1 over f(x) It seems to me I just have to answers questions based on the graph. From some reasons my answers are off compared to the answer book...

These "Homemade" Solar Panels...Do they even work? http://solarpanelhandyman.com/uncategorized/how-to-make-a-diy-solar-panel-simple-steps/" I am trying to figure out a project to make for a class of mine, where we have to build a "Green" type system, bla bla... Has anyone ever tried? Do...

I left a post up re. Fourier transforms and this query is on the same question: having solved the heat equation in infinite domain in terms of U(alpha,t) we now want to inverse transform back to u(x,t): U(\alpha,t)=\frac{2u_{0}}{\sqrt{2\pi}}\frac{sin\alpha}{\alpha}e^{-k^{2}\alpha^{2}t}...

Hello I'am a little confused. In my textbook it is written that all odd function can be described by a sine series. I have this following equation from an exercise: A_{0}+\sum\limits_{n=1}^\infty (A_{n} cos(n \phi) + B_{n} sin(n \phi))c^{n} = sin(\dfrac{\phi}{2}) It's a standard...

Maybe not only virtual particles don't truly exist (as believed by many physicists now). Real particles don't exist as well. According to Aage Bohr, the son of Neils Bohr, particles don't really exist. Nothing moved through the space between the emitter and detector in the double slit...

Hello. I have to find the Fourier series for f(x) = 1 + cos(pi x / L). My question is about f(x) Is this function even? I plotted it out and it looks even. The question I am completing starts off by saying: assume that any function f for which f and its derivative are piecewise continuous...

What does an engineer even do? So I have a problem that I know has to walk through this forum consistently. Basically, I really enjoy my math and physics classes (current experience: calc1-calc3, classical physics 1 and 2). I also really like designing and building things (go FIRST Robotics!)...

Homework Statement Why is Cosin and Secant even? Cos (-t) = cos t, Sec (-t) = sec t Why don't they equal - sec t instead like the rest of the functions? Thanks Homework Equations The Attempt at a Solution

So most of my friends who are in more "applicable" programs in university have a desire to start a business. They're in engineering mostly but what kind of business can you even start with a math degree? I don't really want to be working for somebody my whole life but if you're in...

Hello, I am considering the set of all (differentiable) even functions with the following properties: 1) f(x)=f(-x) 2) f(0)=a_0, with a_0\in \mathbb{R} 3) f(n)=0, where n\in \mathbb{Z}-\{0\} One example of such a function is the sinc function sin(\pi x) / \pi x. Is it possible to find...

Homework Statement Suppose that f : R2 |--> R and that each “slice” x l--> f(x, y), y in R, is continuous. If df/dy (partial) exists (everywhere) and is continuous, show that f is continuous. I don't quite understand the notation here, a little help on this will be useful. I could...

Homework Statement A uniform electric field of magnitude 325 V/m is directed in the negative y direction in Figure P25.9. The coordinates of point A are (-0.200, -0.300) m, and those of point B are (0.400, 0.500) m. Calculate the potential difference VB - VA, using the blue path...

Homework Statement This is a lab problem and basically I am supposed to explore the properties of a capacitor. Here is the question that confused me

Yeah I'm taking this introductory nuclear science class, we're reading Rhodes's Making of the Atomic Bomb. Apparently, U235 with a neutron added now has an even number of nucleons while U238 obviously has an odd number with the single neutron bombarment. And this affects fission likelihood. So...

When i hear people say this, i don't even believe them. I'm looking at the course calendar for electrical engineering at the university i want to attend and the course calendar for a math major at the same university. It's just not possible. Like quite literally there's just not enough credits...

Is the antiderivative of an even function even? Specifically, given an even function g(x)=g(-x) will the following function be even? Odd? For constant a>0, r a dummy variable h(x,t) = Definite Integral [ g(r) dr, FROM x-at TO x+at] Asking whether or not h(x,t)=h(-x,t) This is the...

I have a capacitor that is marked different than most I've run into in the past. I'm not sure how to read it. It looks exactly like this: K*E 102 100 NCC Where the "*" is there is an undistiguishable mark. possibly a "N" inside a circle. It's printed exactly like that on a reddish brown...

Homework Statement Prove that the product of two even integers is divisible by four. Homework Equations The Attempt at a Solution If a·b where (a^b)ЄZ+, then 4|(a·b) If 2|a ^ 2|b, then (a^b)≥2 v (a·b)=0 If 2|(2·n) then 4|[2·(2·n)] for nЄZ ∴ 4|(a·b) where (a^b)ЄZ+ [X]Is my proof correct? Is...

Hi this is my first post here so I'm sorry if my question seems trivial. I haven't worked a lot with the dirac delta function before, so i always thought that the shifting property would only work as: \int\delta(x-h)\;f(x)\;dx=f(h) Now I've been reading some articles and I came across...

Homework Statement How do I show that the additive inverse, or negative, of an even number is an even number ( direct proof) ? Homework Equations The Attempt at a Solution I have no idea. Anybody?

Thus wrote PAM Dirac in his little monograph, "General Theory of Relativity", p.34t. More fully, "Even a light signal would take an infinite time to cross the boundary r = 2m, as we can easily check." Yes, we can, and I did easily by setting ds = 0 in the Schwarzschild solution for a...

Check this out: http://edition.cnn.com/2011/TECH/innovation/01/19/smart.roads/?hpt=Sbin Tell me if this is anything more than retarded. I don't mean to sound insulting, but this cracked me up, that's how sad it is. There are so many problems with this, I don't even know where to begin. I'm...

Homework Statement Let "a" be an element of any integer. Let "n" be an element of any natural number that is greater than or equal to 2. The integer "a^n" is an even number if and only if "a" is an even number. Prove this bi-conditional statement. Homework Equations Definition of an even...

Homework Statement Hey all, this is my first post to the forum, but I've been reading for years. Anyways, I was reviewing a solution to a Compton Scattering derivation we learned in class, and am still trying to make sense out of it. Homework Equations Given, we have the initial and...

Okay, me and my friend have been working on this problem for a while and it just been a headache catalyst for us...your help is called upon, people of the internet. Homework Statement A system of weights is in equilibrium. Calculate the distance "s" where WD = 5[N] WF = 5 [N] WE =...

Dont ignore this as a hypothetical one, but really I have some doubt... suppose we made a very bright torch light and took it to Mars. Now assuming that the light is bright enough for me to observe it from Earth with the naked eye, would we see the light twinkling? Is the twinkling only...

Homework Statement Let a and b be a natural numbers such that a2 = b3. Prove the following proposition: If a is even, then 4 divides a. Homework Equations Definition: A nonzero integer m divides an integer n provided that there is an integer q such that n = m * q. Definition: A even...

They can only be carbon-neutral or better if sustainably harvested, of course. And only if the lumbar companies plant trees after they fall them. But if these assumptions hold (which I believe they do in many regions of the U.S.), then cutting down trees helps sequester carbon. Trees grow...

Group Theory: Prove o(b)|2 if ab = b^-1a Homework Statement Suppose G is a group and a, b \in G a) If o(a) is odd and a*b = b^−1*a, prove that o(b)|2. b) If o(a) is even and a*b = b^−1*a, does it follow that o(b)|2? Prove your answer. Homework Equations n/a The Attempt at a...

So I've had this goal of doing a math degree for almost 1.5 years now. I'm currently taking a class in adult high school called Calculus and vectors. It's basically the basics of calculus all the way up to differentiating geometric functions (sin,cos,tan). The vectors part is all the way up to...

To me, braket notation just seems much easier and more intuitive than the approach from Griffiths. And yes, I learned QM through a text that used braket notation.

Hello, I'm currently a sophomore in college and I'm majoring in econ. I find econ boring and I'm not motivated in my classes. To me, physics has always been a very interesting topic and I'm thinking about switching majors to it. Unfortunately, doing so would require me to take a total of 5 years...

For functions when doing Fourier Transforms, when a function is odd bn = 0 and when a function is even an = 0. Are all functions odd or even, or are there some cases where they're both / neither?

Homework Statement Go to http://apcentral.collegeboard.com/apc/public/repository/ap08_physics_c_mech_frq.pdf Question two The solution is http://www.collegeboard.com/prod_downloads/ap/students/physics/ap08_physics_c_mech_sgs_rev.pdfThe Attempt at a Solution My question is part d) in the...