even Definition and 664 Threads

I'm trying to read Goldstein's Classical Mechanics (self-study), and getting into difficulties understanding the formalism early on. I thought I had an adequate understanding of basic calculus, but apparently not! Given that q* (I'm using an asterisk to denote a dot) means the derivative of...

Homework Statement Hello, I have some Calculus problems from my latest homework. 1. The limit as x approaches 3 of sqrt(x+1) The back of the book says 2. But I'm wondering why it exists as sqrt(3+1) = sqrt(4) = +-2, so since there are 2 values for this, should the limit even exist...

If I have a soft base (mud or sand) and place 4 rocket balloons (long narrow ones used for twisting into shapes, animals, etc.) all inflated to the same pressure, but each balloon of a different diameter (1", 2", 3" and 4") and place platform (a thin, but rigid sheet of plastic) on top of the...

Can someone prove even and odd functions for me not through examples but by actually proving them? Thanks

even if sustained nuclear fusion via deuterium-tritium type reactions were possible, and the energy that is released exceeds the energy that is put in, and this energy is harnessed as a conventional water-steam generator, would such a design be commericially viable, based on the current cost of...

Dear People, I'm sorry to put up such an easy question. But would someone please explain a little further. h(x)=2x-x2 h(-x)=2(x)-(-x)2 = -2x-x2 Since h(-x) doesn't equal h(x) and h(-x) doens't equal -h(x), we conclude that H is neither even nor odd. I would have put that this fuction...

i know that if f(x)=f(-x) and if f(-x)=-f(x) then its odd. i tried to do this check on this cases but its not working http://img126.imageshack.us/img126/3942/74448798fv8.gif

Homework Statement I am supposed to find out if this function is symmetric with reference to the y-axis or reference to the origin. The function is F(x)=4x^2/(x^3+x) Homework Equations These are how to know if even or odd A(-x)^even power = ax^even power A(-x)^odd power = -ax^odd power The...

Homework Statement Hey guys, I'm studying for my sigs and coms exam and I am having trouble with determining whether a function is even or odd. I understand that an even function satisfies f(-t) = f(t) and an odd function satisfies f(-t) = -f(t) Can I determine whether this function is even or...

Maybe this is the first election I've paid so much attention to, but is this not the first president to get bashed so much before he even made it into office? Even with Bush it seems the bashing didn't come until after he proved his incompetence well into his presidency.

state whether the following statements are ture or false. give reason for that, 1. any finite group has an even number of elements. 2. there exists a field containing exactly 4 elements. 3. the dimension of a finite dimensional vector space is dividible by the dimension of any subspace.

EVEN EASIER EXCEL question! I am a little confused as to how I am supposed to "mark" the proportional and Ultimate stresses on my stress-strain diagrams. I created them with Excels 'insert x-y scatter' function. I cannot find any way to add a text-box though... Any ideas? I basically just...

Homework Statement I don't know how other people learned trig, but in my book, the first 2 chapters have nothing to do with angles, but are mostly circles and trig functions of real numbers. Does this make sense to anyone? I am in the next chapter already and I know there are other, easier...

Homework Statement An object rests on an inclined plane. One end of the plane is lifted until the object begins to slide. The angle at which the object begins to slide is 35 degrees. What is the Coefficient of Friction Homework Equations fk = µkFn fsmax=µsFn The Attempt at a Solution...

Homework Statement /* * evenBits - return word with all even-numbered bits set to 1 * Legal ops: ! ~ & ^ | + << >> * Max ops: 8 * Rating: 2 */ int evenBits(void) { return ?; } The Attempt at a Solution I have no idea! What I originally thought was that I would...

The problem is attached... It asks for the answer to be shown in the form a,k. Whereas a is the base number and k is the exponent, with using the form of scientific notation.The answer I came up with was 9.782701624,1. I was told it's wrong and I don't know what the real answer would be then...

Homework Statement If G is a group of even order, prove it has an element a=/ e satisfying a^2=e. The Attempt at a Solution I showed that a=a^-1, ie a is its own inverse. So, can't every element in G be its own inverse? Why does G have to be even ordered?

This is a problem many of the grad students have probably encountered, it's in Chapter 0 of Riemannian Geometry by Do Carmo. Do Carmo proved that the tangent bundle of a differentiable manifold is itself a differentiable manifold by constructing a differentiable structure on TM, where M is a...

Homework Statement n/a Homework Equations n/a The Attempt at a Solution n/a In my physics class we are learning about the EM radiation/wave nature of light/wave optics / image formation by mirrors and lenses, and I had a general question that was not really discussed in the...

When (self)learning quantum mechanics, I was introduced to Hermitian polynomials when learning about harmonic oscillators. This was pretty simple to remember, but then, today, when I first started reading about 3D quantum mechanics (when the Schroedinger equation has now become spherical), I am...

I have two probability questions.. and I have no clues staring them... So... let's do this.. Two fair six-sided are rolled and the face values are added. What is the probability of obtaining a sum that is an even number less than 8? There are 10 horses in a race. A...

Hi, Just when I thought I'd grasped the Discrete Fourier Transform properly,something comes along and messes me up ... and my books don't seem to treat it. Say you have a square 2D image and you want to do an Ideal LowPass Filter. Well, in general, filters need to be odd-number-sized so...

I was watching DonnyLee's videos on youtube and I noticed something strange. I think he picked u=x and du=dx, and if I'm right (?) he picked v= \int x dy/dx but does that even equal to y? But that can't be right because the right side kept the original expression. Some help might clear up the...

Homework Statement Show that if every region in a planar graph has an even number of bounding edges, then the vertices can be 2-colored. The Attempt at a Solution So i think it would suffice to show that if that all the regions have an even number of boundary edges, then, a complete...

Why does two odd functions divided by each other become an even function?

Homework Statement Show with induction that a set with n elements have 2n subsets. The Attempt at a Solution I assume this should only be for all natural numbers, but I cannot even show that it applies to n = 1. Let's say we have a set S = {x(1)}. That has 1 element, but only 1 subset...

Homework Statement Show that \forall n \in \mathbb{N}: 3^{n} \geq n^{3} The Attempt at a Solution (1) Show that it is true for n = 1: 3^{1} \geq 1^{3} (2) Show that if it is true for n = p, then it is true for n = p + 1: Assume that 3^{p} \geq p^{3} Now, 3^{p+1} = 3...

the density of ice(solid) is less than that of water(liquid) and density of mercury(liquid) is more than that of many solids. thinking about it, it seemed natural to me that the more closely are the atoms or molecules packed the greater will be their density. but on packing them closely, isn't...

Actually, can you take a root of any negative number?

Ok here is a thing I don't understand: How can a black hole exist? There are several things bugging me about black holes: 1) The more concentrated the matter is, the more deformed spacetime is and the slower the time is (from our point of reference). How can Black Hole be created in finite...

Hi, I'm a beginner in C++. I wan't to write this program: Write a program that asks the user to enter n numbers –where n entered by the user- and calculates the sum of even numbers only. main function asks the user to enter n and then calls the recursive function Sum to read the values...

Is Zero an even or odd number, or neither? The common answer I have found seems to focus on the fact that you can evenly divide by two. However there is a bit of dispute whether this is accurate or not. Can anyone offer clarification on this? Thanks!

http://www.assatashakur.org/forum/showthread.php?t=27885 http://www.dailymail.co.uk/pages/live/articles/news/news.html?in_article_id=516840&in_page_id=1770 Genetic faults?

Im just rather curious because all the schools I've looked barely allow double majors; are their any schools in california that allow triple majors?

Homework Statement I need to find the number of ways to make change for a dollar using an even number of coins, using only pennies, nickels, dimes, quarters, and fifty cent pieces. Homework Equations I found the generating function for the ways of making change for a dollar...

prove that x/(e^x-1) + x/2 is an even function, and therefore its power series only involves even powers of x.

Homework Statement Prove that when (n^2-(n-2)^2) is not divisible by 8, n is even Homework Equations The Attempt at a Solution Could I just plug in numbers or is there a different way of doing it? Let n=2 2^2-(2-2)^2/8=1/2 When n=2, 8 does not go evenly into the function...

Homework Statement Let a and b belong to Sn. Prove that (a^-1)(b^-1)(a)(b) is an even permutation. Homework Equations Definitions I have are Every permutation in Sn, n>1 is a product of 2 cycles and A permutation that can be expressed as a product of an even number of 2 cycles is...

A new solar technology based on tiny nano-sized antennae is capable of harvesting energy with 80% efficiency, as opposed to the 10-20% seen on commercial solar panels today. But if that isn't amazing enough for you, these new panels can even harvest energy at night, by absorbing light from the...

Is it even possible? Or am I just flat out wrong once again? Whenever I really need to procrastinate, I turn to writing a calculus book. In this case.. For about three days I pursued the problem of whether or not you can teach topology before "rigorous Calculus". Is it even possible, to...

[SOLVED] Easy question, unsure if this even counts as calc Homework Statement 14) Show that if a, b, and c are real numbers and a != 0, then there is a unique solution of the equation ax + b = c. I'm asking this question here, as it seems TOO easy to be asked in my propositional calculus...

From its perspective, can't it "see" itself as being at rest while everything else is moving at c? Then, from its perspective it's massless AND not moving, so it doesn't have mass OR momentum and thus has no energy at all. Also, doesn't time stop from the photon's perspective? If an object has...

If i connect an inductor and a charged capacitor as the only circuital elements in a circuit [other than lead wires], something called 'LC Oscillations' happen. According to what I've read, due to the charge on the capacitor, there is a potential difference across the ends across which the...

I also wonder if the US really has no granite nor sculptors who could have done this: http://www.upi.com/NewsTrack/Top_News/2007/12/26/proposed_king_statue_proving_controversial/9202/

Homework Statement Show that for every subgroup H of S(n) [the symmetric group on n letters] for n>=2 either all the permutations in H are even or exactly half of them are even. Homework Equations The Attempt at a Solution I didn't really know how to do this but i thought maybe...

F=ma prob with electrons (They don't even act like particles!) Well here's the problem: 1. Electrons in an oscilloscope are accelerated from rest by a constant force of 8.0*10^16 N over a distance of 15mm. Find (a) the acceleration and (b) the final velocity. Relevant equations: 2...

Homework Statement Well I've been working on these problems for the last 4 hours and still nothing...and out of despairation i turn to you all. It has to do with Canonical transformations of the Hamiltonian: 1) Consider a type 1 generating function (F(q,Q,t)) where the following must be...

Même Pas Fausse (Not even wrong--French style) Smolin's book came out in April 2007 in French translation and spent a good bit of time as #1 on the French amazon.com physics bestseller list. I just looked today and it was #4 physics bestseller with a salesrank in all books of 2021. Now...

http://tech.yahoo.com/blogs/hughes/18837 I can hardly believe this. :bugeye: How could a cel phone be worth more than $1000000 to anybody?? Sure $1000000 isn't as much as it used to be but... it's only a phone!

First off, thanks for your help. I feel like a dope because everything I'm doing looks correct to me, but my answer is not the same as the book or solution manual gives! I'm usually so good at finding my mistakes. Thanks for taking the time to help. Homework Statement...