even Definition and 650 Threads

:confused: Can you always tell if a function is odd or even by looking at the exponents of each of the variables? My book says you can but when I look in other books it gives examples when that is not true. Or do you always have to do symmetry tests to decide?

I was working with Fourier series and I found the following recursive formula for the zeta function: \frac{p \\ \pi^{2p}}{2p+1} + \sum_{k=1}^{p} \frac{(2p)! (-1)^k \pi^{2(p-k)}}{(2(p-k)+1)!} \zeta(2k) = 0 where [itex]\zeta(k)[/tex] is the Riemann zeta function and p is a positive integer. I...

Would the integral of two even functions be 0 or not? I have an integral cos(t)*cos(2nt)that goes from 0 to pi/2 and was wondering if that would automatically be 0 or would the integral of cos(t)*sin(2nt) from 0 to pi/2 be 0? Thanks!

A massive federal budget deficit http://www.pbs.org/newshour/bb/political_wrap/july-dec05/sb_9-23.html

I'm puzzled by this question: Show that for all function f:R-->R. there exists an even function p and an odd function i such that f(x) = p(x) + i(x) forall x in R. I got nothing.

Well here is what happened. Long rant so be prepared. All throughout my time at community college I worked my *** off to keep a good GPA. This last semester was my final semester in my Computer Programming and Analysis diploma program. All I needed was to receive four 4.0 across the...

Not Even Wrong, THE BOOK! http://www.math.columbia.edu/~woit/bookcover.jpg see blog discussion: http://www.math.columbia.edu/~woit/wordpress/?p=245#comments

I wonder why only the answer of odd number question of most of the textbooks are given. The author do it purposely? Where can I find the even numbers questions` answer?

Show that if G is a finite group of even order, then G has an odd number of elements of order 2. I'd appreciate a tip or two. I really don't see how the order of the elements of a group is linked to the order of that group.

I just read that "Even aging can't be so easily cured by replacing someone's whole body: our brain seems to contain the circuits causing us to age, and you'd just see the replacement aging very rapidly. (The circuits aren't just electrical but chemical too. And this experiment has even...

In the heat death of the universe? where would it get its energy needed to fluctuate?

Sorry if this is the most elementary question ever, but hey, I gots ta know man! Is the number 2.3 even or odd? :confused: The Rev

I just turned on my computer and a lot of things a screwed up. For one thing its not recogizing the network or even getting internet acess. Which is weird because our cable is working... I am connected now through my laptop. Also I have dual monitor however currently only one monitor is working...

yeah sounds like a stupid question, but I'm at a very important time in my life right now and very depressed. :( All I know is to solve problems and read. The more problems you solve the better you get at something. But is that enough? What if I'm stupid? Can one get 'smarter'? :(...

I have uninstalled and reinstalled my norton anti viruse program and it refuses to work. the last time its not even showing up in my add/remove programs. I have some serious computer problems an no way to fix it

I'm a little confused about the difference between the half range Fourier series and the full range Fourier series. What is the difference between the two in an odd function like f(x)=x and an even function like f(x)=x^2 ? Maybe an example to clear things up. Thank you.

Is infinity even or odd? If it's even (or both), then it would mean there's a finitely largest prime. By coarsely applying limit concepts, and lim(x->inf)x/2 does not yield a remainder.

I'm trying to normalize the even wave functions for the finite square well. The wave function is: \psi(x)= \begin{cases} Fe^{\kappa x} & \text{for } x< a\\ D\cos(lx) & \text{for } -a\leq x \leq a\\ Fe^{-\kappa x} & \text{for } x> a \end{cases} How can I determine D and F? When I...

Yesterday I decided to get my hair cut. Being a naturally good looking guy I don't see the need to pay a lot for a hair cut. So I went to Cost Cutters. The manager of the store was the guy who got to cut my hair. He started in with the same lame conversations they always do, but I had a...

http://www.math.columbia.edu/~woit/blog/archives/000133.html the comments are in reverse order, so you have to start at the bottom and read up the topic is "The Problem of Predictivity" in String Theory and the discussion was triggered by Steve Giddings paper...

Even calculator can't solve this... (8^2003+6^2003)/49=? Who can solve this?

I've tried looking through my book to see how to do these, but I just can't find it. Any help would be appreciated: 1) f(x) = 2x^5 - 3x^2 +2 2) f(x) = x^3 - x^7 3) f(x) = (1-x^2)/(1+x^2) 4) f(x) = 1/(x+2) Thanks in advance!

So, if I'm thinking of this correctly... The faster we travel, the slower time progresses for those traveling. We go faster, time for us slows down. Just for ease of example, let's say the travelers are traveling exactly at c. They travel toward a star that is 10LY away - so at c...

Hello all I know an interface is even more abstract then an abstract class. Let's say I want to make an interface called Furniture that implements two class called Chair and Table. What does this exactly mean? Can someone please clarify this? Thanks public interface Furniture { int...

sound wave questions my tutor couldn't even figure out allright, well, i tried these problems, really thought i knew what i was doing, cause this section has been fairly easy, but i just can't get a couple of them! maybe you guys can help? 1 A stationary motion detector sends sound waves of...

http://www.newscientist.com/news/news.jsp?id=ns99996736

Prove: a group of even order must have an even number of elements of order 2

Specially in the movies... i see people throw knives at enemy's neck or the head instantly killing them... some of the knife i saw.. fly straight without any rotations... how can you throw a knife that doesn't even rotate or spin... and travel straight with high velocity ? ( and the mass is...

f(t) = 1 if -pi/2 <=t <=0 -1 if 0<=t<= pi/2 0 elsewhere how does integral of f(t)*cost dt become and odd function with the integral limit from - pi/2 to pi/2 ? thanks a lot

If a function is even, prove that the derivative is odd. Look at a graph of x^2 we can clearly see why. This is how I would approach this... If we solve d/dx x^n and n is an even integer, we get the derivative nx^(n-1). Since n is even, n-1 is odd. Because n-1 is odd, the derivative...

the rule for an odd function is: -f(x)=f(x) correct? however, x^3 is odd? Why is that? -(x^3) != (x^3) Also, how would someone tell if a function is odd or even if it was an equation like: (x^7)(x^6)/(x^4) or something of that nature?

I live in a Suburb of NYC, and I worked from 10-8 today, listening intermitently to the radio and cd's. From all estimates, over 250,000 people protested the Republican National Convention today, and it hasn't even started. The best part is, it was all totally peaceful. I initially began...

jus want to let every1 kno this is what i got... A* Chemistry A* Physics A* Biology A* ICT A Art B French B Maths CC English C welsh :smile: im gunna take maths an science for A level

The title says it all. I'm having trouble showing: If G is a graphs where all the closed paths in G are of even length, then G is bipartite. G is bipartite if I can find 2 vertex sets V and U such that every edge is of the form (v,u), v in V and u in U. I was thinking of the following...

http://pancake.uchicago.edu/%7Ecarroll/hawkingdublin.txt have fun

Help shed some light on this question please. It is my understanding that organisms age faster at the North Pole relative to organisms at the equator. And organisms at the equator age slower relative to organisms at the north pole. An experiment I head of that measured these effects was...

Bush and Hezbollah condemn beheading http://www.smh.com.au/articles/2004/05/13/1084289801959.html A Kinder Hezbollah? A PR stunt? Looking for more recruits and empathy? Either way, the Sydney Morning Herald is doing a hell of a job trying to play cupid with Bush and Hezbollah...

A friend of mine told me that (by his teacher) 0 is an even and positive number, how can it be?

why is "c" even in the equation? i was hoping someone could explain why light speed even enters the e=mc2 equation. energy equals mass times the speed of light squared. i get that, and what the formula predicts. but why the speed of light? i was never one to go into the mathematics of all of...

It's not my terrain but I have read the https://www.physicsforums.com/showthread.php?s=&threadid=10182 . It is published here. some quotes: I guess the experiments are testable and the results should be consistent. So what say?

Is the function x^3 - x + 1 even, odd, or neither? When I graphed this, it looked like it was symmetric about the origin, so I thought that it might be an odd function. Either that or it is neither?

If set A consisted of all even natural numbers (i.e. 2, 4, 6...) and set B consisted of all odd natural numbers (i.e. 1, 3, 5...), then what is the result set of: A intersection B Would it just be the empty set since no two natural numbers can be even and odd?

Can someone explain to me precisely what harmonics are, and the technical differences between even and odd numbered harmonics?

i know, i know, i should know how to do this, but i dont. can someone tell me a few ways to solve these 4w+x+2y-3z=-16 -3w+3x-y+4z=20 -w+2x+5y+z=-4 5w+4x+3y-z=-10 now i know if there were only two terms (such as only x and y) i could find one in terms of the other, set up one of the...

"BAGHDAD – As US forces rolled into Baghdad, Saddam Hussein, the Ace of Spades in the US Army's deck of cards of wanted Iraqis, did a spectacular vanishing act. Many Iraqis believe their former leader, a lifelong dabbler in the occult, will never be found by coalition troops scouring the...

Even Less Religion In Our Government Yay! http://www.cnn.com/2003/LAW/07/01/tencommandments.appeal.ap/index.html The ten commandments monument in front of an alabama state supreme court building must go! Yay! man this past year the supreme court sure has done some nice and LOGICAL things!

The laws of nature reflect the intrinsic properties of everything which exists. Logic is the interpretation of those laws. By observing, defining and comparing the nature of that which we seek to understand, we derive knowledge which can be applied to familiar circumstances to predict outcomes...

Is there a law or theorem somewhere that states the difference between any two odd numbers is even? Or the difference between 2 even numbers is even?

It's a question that boggles the mind. If you answer yes, than God could not eat that burrito, meaning he is not all powerfull. If you give a negative response, you are limiting God's power by saying that he can't make that burrito. Either way you end up with counterevidence to God's existence...