even Definition and 650 Threads

Is 0 an odd or even number? The reason why I ask is this: I need to write cosh(x) as the sum of an even and odd function. I could only come up with cosh(x) = cosh(x) + 0, where cosh(x) would be the even and 0odd. However, this doesn't make any sense since 0 is exactly divisible by 2 with no...

Hi i am stuck with something really simple :( I know that we can express a signal with the even and odd signal x(t)=xe(t)+xo(t) (xe(t) means even signal and xo(t) means odd signal) x(-t)=x(t) for even signals and (1) x(-t)=-x(t) for odd signals (2) where even signal is...

Find the smallest possible arithmetic sequence consisting of seven primes. For example, the smallest possible arithmetic sequence consisting of five primes is: 5, 11, 17, 23, 29. By the way, by "smallest possible" I mean that the last term in the sequence must be the smallest possible of...

Problem A mass of 2 kg is held at rest on a rough horizontal table with coefficient of friction μ = 0.5. A string is attached to the mass and is hung over a smooth pulley. A 1 kg mass is suspended from the other end of the string. The top of the pulley is at a height of 1 m above the table...

I have been wondering were to put this question but since it is related to algebra, i think i'll post it here. I was playing with numbers and suddenly i came up with the idea of wanting to make a equation f(x) where all x odd number domain will result of range 1, and all even number domain will...

Homework Statement Q1 [|x+2|]=2[|x|]-3 Q2 If f is even and g is odd, is fog even, odd or neither Homework Equations The Attempt at a Solution Q1 Not sure. Can someone please give me a start on this? I think if I knew some properties of greatest integer functions I could work...

[SIZE="4"][FONT="Georgia"]why do we use n as even number with simpson's rule ?

Does inertia apply to EVERYTHING in the universe? Even subatomic particles? Or is there a certain mass limit where something no longer has the property of inertia?

If I have af wavefunction that is a product of many particle wavefunctions $\Psi = \psi_1(r_1)\psi_2(r_2) ... \psi_n(r_n)$ If I then know that the parity of $ \Psi $ is even. Can I then show that the wavefunction i symmetric under switching any two particles with each other. That is...

When my father was in college, one of his professors showed him a function that is continuous everywhere and differentiable nowhere. All my dad remembers is that the function was like an infinitely small sawtooth. If this function exists, how can it be defined?

How do I proof that groups of an even order must have an element of order 2? I have a vague idea, but I don't know how to put my idea together. Aside from identity, there are an odd number of elements in my group. So one element will not have a partner and will have to be multiplied by itself...

String theory: "Not Even Wrong" according to Peter Woit I haven't read the entire book, but Peter Woit has written a book on string theory that calls the theory "not even wrong" because it does not provide any testable predictions: https://www.amazon.com/dp/0465092756/?tag=pfamazon01-20 I...

I was wondering if zero is an even number, or it depends on situation?

I have tryed to look into ITER and tokamak reactors latest updated information online, and cannot find any real specifics on it's latest progress. Does anyone know of where we are with producing sustained fusion for energy purposes, through currently using the tokamak? Is it possible to...

Hello everyone. I'm having some troubles seeing how I would apply the even case for this problem. The problem is: If n + 1 integers are chosen from the set {1,2,3,...,2n} where n is a postive integer, must at least one of them be even? why? Well the book did the exact same problem...

Work?...maybe just kinematic...(please help! I don't even know what it is!) The spring shown in the figure is compressed 50 cm and used to launch a 100 kg physics student. The track is frictionless until it starts up the incline. The student's coefficient of kinetic friction on the 30 degree...

Hello everyone. I'm trying to set this problem up to prove by induction but having some issues. Suppose that for some Predicate P(k), you first prove that P(1) is true, and then you do the following. You prove that, for every positive even integer k, if P(i) is true for all odd integers i...

http://www.amazon.com/gp/bestsellers/books/278434/ref=pd_ts_b_nav/026-8303087-5718006&tag= The UK edition of Not Even Wrong is running ahead of Lisa Randall's Warped Passages, and Brian Greene's two most popular books: The Elegant Universe and The Fabric of the Cosmos, at least according to...

a block is acted on by a spring with a constant k and a weak force of constant magnitude f. the block is pulled distance x0 from equilbrium and released. it oscillates many times and eventually comes to rest.(the block mass is M). 1)show that the decrease of amplitude is the same for each cycle...

Opinions of ideas in "Not Even Wrong" The new book by Peter Woit, Not Even Wrong, gives a lengthy discussion as to why we should abandon string theory and move to more promising fields of study. He claims, and as far as I know correctly, that superstring theory has not made one single testable...

Hello everyone. I'm so close to this proof, that i think it might be right. But it doesn't follow the definition exactly, or does it? The definition of an odd number is: n is odd <=> There exists an integer k such that n = 2k + 1. My conclusion came out with 2k-1. Here is my proof. 26...

My prof said "every function is the sum of an even and an odd function, explain." ive spent about 2 hours off and on thinking about this and i haven't come up with anything really. is it because f(g(x)) is an even function if either f(x) or g(x) is even, and you can just split every...

i need help! i don't even know where to start o_O One way to monitor global warming is to measure the average temperature of the ocean. Researchers are doing this by measuring the time it takes sound pulses to travel underwater over large distances. At a depth of 1000 m, where ocean...

lubos motl has published is objections to loop quantum gravity which lee smolin responded to. what are some common objections to string theory, esp in NEW, what do string theorists think of these objections? lubos motl calls peter's book crap, gives it 1 star on amazon. (then it got deleted).

http://www.math.columbia.edu/~woit/wordpress/ This week’s Time magazine has as article by Michael Lemonick about the controversy over string theory entitled The Unraveling of String Theory. It mentions my book and Lee Smolin’s, and there’s a quote from Sean Caroll. There’s the usual hysterical...

http://www.nytimes.com/2006/08/08/science/08find.html?ex=1312689600&en=86a5d1a41980f607&ei=5090&partner=rssuserland&emc=rss" How is it possible to have a drop in gravity when a Earth quake happens?

Hello, I'm curious if anyone can shed some light on my seemingly opaque brain as to why Sine is an odd function and Cosine is an even function?

to keep track of the response to Peter Woit's book here is a review by John Horgan, a well-known science writer, in the August 2006 issue of PROSPECT magazine. Horgan's review is titles "Stringing us along": ====quote==== Stringing us along The tide seems to be turning against string theory...

Honestly, I am not even sure exactly what radiated power means. Why is the 18.4mW not the radiated power of the light bulb? I thought electrical energy was essentially work, which is a product of power and time, so how could radiated power be anything except 18.4mW? Are they referring to...

DavesBrain Project 241a - lighting framed pictures I want to light a half dozen pictures in 5x7 frames in a display in the corner of my living room (this display will likely be free-standing, like a privacy screen), but I don't want http://www.ikea.com.sg/products/product_display.asp?id=2237"...

Alright, so I was just thinking the other day about say...a bowling ball in the center of the Earth, where the center of the Earth is sectioned off by a perfect cubic room. Now say the bowling ball was positioned in the center of that room. I was wondering where the bowling ball would fall...

http://www.timesonline.co.uk/article/0,,2102-2214707,00.html The Sunday Times review is by John Cornwell, an historian. ===sample=== ...But is string theory true? Peter Woit, a mathematician at Columbia University, has challenged the entire string-theory discipline by proclaiming that its topic...

Could someone please help me, and tell me what i am doing wrong or could do better. im doing a physics degree but this time when it came to exams i studied really hard yet i still couldn't remember everything and in the end i recognised everything but couldn't answer the question. i found...

http://famulus.msnbc.com/famulusgen/reuters05-11-152044.asp?t=renew&vts=51120061532 :smile: :smile: :smile: :smile: :smile: Ah what a world

Hello, I was wondering if diffraction could be observed even in humans, but I can't prove it. Which is the De Broglie wavelength of a human? Is it possible to observe diffraction when a human passes through a door?:rolleyes:

is there some theorem of some sort, that connect the number of divisors of a number to identify if it's even or odd? or to be more specific, does number of divisors of a number has any significance in number theory?

I fixed my broken CPU with a thumbtack and a staple. It works beatifully now, good as new. I'd like to see Macgyver top that.

I know an even function satisfies f(x)=f(-x) for all values of x in its domain. An odd function satisfies f(-x)=-f(x) for all the values of x in the domain. But, how do you calculate this if you have an equation? ex. f(x)=-2x+1

Hello everyone, when I'm doing these problems i always make sure i put a negative inside the sin(x) function, then just later take it out like cos(2t)+sin(-2t) = cos(2t)-sin(2t); Because sin is an odd function. But my professor says f it and never does, for instance here is my work, i came out...

http://www.miami.com/mld/miamiherald/13951780.htm Now I would agree that there are times when kids need discipline, and to have the law laid down by an adult, even to the point of physical punishment, but this is disturbing to me, to the point of being truly sickening. Can this be real?

So if you have a block sitting on top of a frictionless slide(it's a ramp, so it goes down like a slide, levels out at the bottom at point A, then curves back up and ends at point B.)the height at the top of the slide is 3.91m, and the mass of the block is 1.62kg, the angle at point B is 45...

Okay, seeing that I'm new, I'll just tell everyone who reads this that I am a freshman in college, second semester, and am in Introductory Physics. Unfortunately, I've never taken a physics course before, and no science period since Junior year in HS. My professor posts online quizzes each...

is it true that electoronical device are still alive even when they are off? if yes why?

So another 200,000 years has been added to human presence in the UK: http://www.eurekalert.org/pub_releases/2005-12/uoy-bpo121505.php

why does water evaporate even below its boiling point? is it because the bonds between particles aren't strong (while particles in water moves) thus some escape periodically or does it have something to do with convection currents?

A few months ago I linked to this development in the creation of synthetic setae far better than those of geckos: http://www.wired.com/news/medtech/0,1286,68639,00.html In the time since, I've done some research, corresponded with the team leader involved with the linked research and then...

Can someone help me on where to begin? What do I know about even ordered groups that could help? My first idea was to incorporate the fact that for an element to be of order 2, it must be it's own inverse. (This made me think of the identity element- I don't know if that's what the proof...

you see the new Jones soda flavor? Smoked salmon pate. even the owner says he can't finish a bottle. WHY MAKE IT THEN?

i was wondering if anyone can help me understand why the product of two odd permutations is odd? i came across this on a website but it didn't help me understand why. thanks for the help

I just got to see Cream at Madison Square Garden last night. Very cool stuff. What I also got to see was a bunch of people in their 40's and 50's smoking pot. I'm a teenager, and I'm used to seeing that at concerts, I'm just not used to seeing people as old as my parents doing it. So, I just...