even Definition and 664 Threads

So in most of intro physics rolling questions, the masses are assumed to be rigid. So if I roll a sphere on frictional plane, it will move forward and the friction force will help stablize it until pure roll. However, how can there even be a friction force assumed in these problems? The...

What do you think about the work done by these Russians to give alternative formulations to General Relativity?

Hello everybody, its my first post here so I'm not sure if it's the right place for my question. First of all, let me tell you who I am, I'm a 21 years old girl from Algeria, English is the third language here so excuse me please for my bad English.. So my situation is a little complicated, I'm...

Hi all, It is well known that on ICHEP 2016 CMS and ATLAS have announced that the bump has been found on December 2015 around 750 GeV diphoton invariant mass was no more than a statistical fluctuation. So now what is the statues of the searchs for a cp - even neutral heavy Higgs state ? I...

the first year of operation for a small company yielded a loss of \$5000. The company has \$15,000 per year tied up in fixed costs and spent 40,000 on raw materials and labour. Since the company was not well known, they were only able to sell 500 units of their product that year. It is hoped...

Homework Statement Prove by induction, that when r(r-1)(r+1) is an even integer when r=2,3,4... Homework Equations Prove by induction The Attempt at a Solution I began with the base case r=2, leading 6. Then I proceed with r=3, leading 24. Now if r=k is true, then k(k-1)(k+1) is also true...

3(2k+1)3 I have written a program which calculates the value of that polynomial with different values of k. The result is always an odd number. I am having a difficult time writing a proof that states that this polynomial always returns an odd number. I know that (2k + 1) is the general form...

Today I had a maths exam with a question which was worded something like: Write ##sin(3x-x_0)## as its Fourier representation. By doing a suitable integral or otherwise, find the possible values of its Fourier coefficients. You may find the following useful: ##sin(\alpha-\beta) =...

In nature, gradient is always required for flow; whether it is temperature gradient for heat transfer or pressure difference for fluid flow. There is a case of Venturimeter in which we have throat section. After throat there is a divergent section. How could flow even happen in that adverse...

Homework Statement I'm trying to calculate the Fourier Series for a periodic signal defined as: y = x 0<x<2Π y = 0 2Π≤x<3Π Homework Equations Fn = 1/T ∫T f(t)cos(kwοt + θk)[/B] cn/2 + ∑k=1k=∞(cn)cos(kwοt+θk) cn= 2|Fn| θk=∠Fn The Attempt at a Solution I got Cn =...

Homework Statement If ##V(x)## is an even function [i.e. ##V(-x)=V(x)##], then the energy eigenfunctions ##\phi_E(x)## can always be taken to be either even or odd. i.e. show ##\psi_{odd}(x)\equiv\frac{\phi_E(x)-\phi_E(-x)}{2}## and ##\psi_{even}(x)\equiv\frac{\phi_E(x)+\phi_E(-x)}{2}##. The...

Homework Statement Hello everyone, I'm new to the great field that is Fourier analysis, and have a question about the way in which to determine if the function is a odd or even function. Given the function, of one period f(x) = { x; 0 <= x < =1, 1; 1 < x < 2, (3 -x); 2 <= x <= 3: Is...

It seems like I could get the Euler-Lagrange equation for any function that allows symmetry of second derivatives even when the action is not stationary. Suppose ##L=L(q_1, q_2, ... , q_n, \dot{q_1}, \dot{q_2}, ... , \dot{q_n}, t)##, where all the ##q_i##'s and ##\dot{q_i}##'s are functions of...

Found these online last week, forgot to record the source. Animals, which move, have limbs and muscles. The Earth does not have limbs and muscles; therefore it does not move. - Scipio Chiaramonti [Professor of philosophy and mathematics at University of Pisa, arguing against the heliocentrc...

How to do this type of problem. I am confused, right now. Prove that x-y is even and x2-xy+3 is odd

I think I understand why two level laser is not possible if we use optical pumping. However, I don't understand why we can't create laser with two energy levels that are pumped by non optical pump? Why we can't create population inversion that way? For example, if we could somehow pump...

Is it career suicide for a Phd student to have an older supervisor (50s) who isn't even an associate professor? Note I'm looking at doing a Phd in maths.

Homework Statement Split the function f(x) = ex + πe−x into odd and even parts, and express your result in terms of cosh x and sinh x. Homework Equations f(x) = 0.5[f(x) + f(-x)] +0.5[f(x) - f(-x)] The Attempt at a Solution So i know that: ex = 0.5[ex - e-x] + 0.5[ex + e-x] = sinh(x) +...

Is there a book containing fundamental proofs such as any number of the form x^2n beeing even and such. I know this is very vague, so I must apologize. Thanks for any help.

Iam working through Spivak calculus now. The book defines natural numbers as of form N=1,2,3,4... Iam able to prove that every natural number is either odd or even. How can I extend to Z, integers? In one of the problems, Spivak says we can write any integer of the form 3n, 3n+1, 3n+2.( n is...

Homework Statement Let $$p(x) = a_{2n} x^{2n} + ... + a_{1} x + a_{0} $$ be any polynomial of even degree. If $$ a_{2n} > 0 $$ then p has a minimum value on R. Homework Equations We say f has a minimum value "m" on D, provided there exists an $$x_m \in D$$ such that $$ f(x) \geq f(x_m) = m $$...

The following text considers the possible wave functions when the potential is symmetric about ##x=0##. Why must even functions have an even number of nodes? ##y=sin^2x## is even but always have an odd number of nodes in any interval centred about ##x=0##. The part preceding the above text:

So I'm a senior in high school and so far I've had pretty average grades. Taken Algebra 1, Geometry, Honors Algebra 2/Trigonometry, Precalculus, AP Calculus AB and gotten mostly B's with some A's and some C's. I'm not proud of my grades, but I just wasn't able to grasp the concept too well. I've...

this is just an arithmetic series but with a small difference. i will show that below The attempt at a solution the general arithmetic formula ## S_N=\sum_{n=1}^\infty n## for my problem ## S_N=\sum_{n=1000}^{2000} n ## i have to rewrite it so i will just add the even numbers ##...

Homework Statement Prove that if a right triangle has all sides rational and primitives (co-primes), then one of the smaller side must be even number. Homework Equations For a right triangle (a,b,c) with c is the hypotenuse. $$a^2+b^2=c^2$$ The Attempt at a Solution In order to create a...

I've been trying to answer this question for several days now with no results. Here is the question Imgur: The most awesome images on the Internet Now, I know the answer is -4/npi, but after integrating the function piece-wise (broke it into 3 separate integrals) I got 4sin(npi/2)/npi...

How do you memorize the even and odd function?

this one got me thinking for a while it starts like this: X=6m2+4n2 and Greatest Common Divisor(GCD) of (m,n)=2 what is the greatest EVEN number that must be a factor of X I started this question by thinking what they asked, the gratest number that is a factor of X then I need to calcualte X...

Homework Statement Good morning. I am currently doing an solid state problem; in this part, I have to tell if these vibration modes are odd or even. I am working at the lattice centre. The modes are these http://postimg.org/image/8nmv7ickz/. Homework Equations None The Attempt at a Solution...

Hi, I'm trying to remember the stuff I was taught at school about leverage. I understand the principle, but can't get my hear around this. I want to build a device to weigh the contents of boxes. It needs to be able to measure in 1g increments. I could use my wifes kitchen scales. The items...

Homework Statement If N is even, so that 1+2+3+...+N = (N+1)N/2 Homework Equations n/a The Attempt at a Solution I can easily rewrite the summation as but I do not know how to justify the question. Thank you.

Photon have the same size as an electron(i think) but no mass. Gluons also. WHY

I am learning Fourier series and have come across the sine, cosine, and imaginary exponential expressions. To my knowledge, these individual terms form a basis since they are all orthogonal to each other. I am just wondering: can a Fourier sine series be used to model a purely even function...

Prove that if n is even and r is odd then \binom{n}{r} is even. Solution: I know I have these two equalities \binom{n}{r} = \binom{n-1}{r-1} + \binom{n-1}{r}=\frac{n(n-1)...(n-r+1)}{r!} Now if n is even and r is odd then (n-r+1) is even. So it seems that we will have at least one more even...

I finished my first year at university, my GPA is a lackluster 3.26 GPA. I'm doing a dual degree in mathematics and physics, but that's not important. My grades in physics/math classes were pretty good, A's and a B, but my gen eds really brought me down. No room for excuses, grad schools won't...

Dear Everyone,I would like some help to get start with a proof. A problem states, "if p is an integer, show that p is even iff p^2 is even."I know that p is the an integer. Let p be an integer. $p=2m$, where m is an integer.Thank you for your help CBarker

Homework Statement If ##f## is an even function then $$\int_{-a}^{0} f = \int_{0}^{a} f$$ Homework EquationsThe Attempt at a Solution My attempt was trying to show the upper sum of both integrals were equal. Take a partition of [-a,0] call it ##P_{1}##, and ##P_{2}## for [0.a]. if we can...

The 300 series of stainless steel is austenitic meaning that the iron in the steel is gamma iron. This means that if it is magnetic it is only the weak magnetism from the nickel. I read the wikipedia article on allotropes of iron and it says that gamma iron occurs when the iron is heated to...

I would like to setup a subsurface irrigation system for my garden. I have several beds which, while I made each one perfectly level, are at different elevations (about 1 or 2 feet between each) . The source of the water will be a permanently mounted bucket, barrel or cistern of some kind...

Hi, I am really really stuck on my life-decision (look at my previous posts). I do REALLY LOVE PHYSICS A LOT. I want to be able to work in the next big thing - Quantum Computation, Theory Of Everything and so on. I am passionate about physics it grabs my interest straight away. I am only 15, I...

Since most normal body cells do need insulin to take up glucose, do type 1 diabetics instead have to run off of ketone bodies when insulin is not present? *If this is the case, wouldn't weight loss in untreated type 1 diabetics actually make their blood sugar go even higher but also be...

Hi my name is Alex and I have the goal of becoming an engineer. Either mechanical or biomedical. I like medical and technical things so I feel biomedical would be awesome. Get to help people but use my brain to solve complex problems and be creative. Anyways, my problem is that I am an...

Homework Statement I have to make a program that would end when entered a 0 and print out negative numbers and even numbers separately but what I have so far is not working. The Attempt at a Solution numbers = [] negative_numbers = [] while True: number = input("Enter a number: ")...

Homework Statement Homework Equations Equation 1.20 $$ \int_{-\infty}^{\infty} \mid\Psi (x,t)\mid^{2} dx = 1 $$ Equation 2.5 $$ - \frac {\hbar^{2}}{2m} \frac {d^{2} \psi}{dx^{2}} + V \psi = E \psi $$ The Attempt at a Solution (a) $$ \Psi (x,t) = \psi e^{-i(E_{0} + i \Gamma)t / \hbar} $$ $$...

I have a problem that works out to this s, but with a coefficient, what do I do with it from this point?

Homework Statement I need to make a circuit that detects even numbers. Need to find the equation for F when input A and B are both even. Input A: Word of 5 -bit signed representation in complement 2. Input B: Word of 3 -bit signed representation in complement 2. Homework Equations for B...

Probably this has been asked before...but... If we know what are the causes of our death by age, why can't we overcome them, prolong our lifespan and even achieve immortality?

So this is what happened. the thing is that wherever i go i hum. So i was in the bathroom that day and it was as usual tiled everywhere. So when I started to hum, it echoed. Nothing special about it. But as i raised my pitch, there was a pitch at which my humming sound echoed ENORMOUSLY. And...

Most of my lectures are horrible and not worth going to. They teach squat, don't do any examples on the board, and just emphasize points that I could find in 5 minutes in the book for 1 hour. Is it even worth going to lectures if I have to sit down for 1-2 hours studying in order to solve...

I'm trying to solve this exercise but I have some problems, because I haven't seen an exercise of this type before. "f(x)= \pi -x in [0, \pi] Let's consider the even extension of f(x) in [-\pi, \pi] and write the Fourier Series using this set ( \frac{1}{\sqrt{2 \pi}}, \frac{1}{\sqrt {\pi}}...