Example Definition and 845 Threads

In a nuclear reactor, neutrons lose energy by making collisions with nuclei of atomf of the materials that maay be present in the core of the reactor. If a neutron of mass mn has initial kinetic energy of 5.0 MeV,how much kinetic energy will it lose if it makes head on elastic collision with...

hi , I met lot's of binary operation which is associative and commtative and I also met lot's of binary operation which is associative and not abelian but is there an example for a binary operation which is commtative and not associative ? I don't remmber that I've met one likes this...

Sometimes it is said that the probability distribution which does not add up to 1 still can be used to find relative probabilities. For example, consider probability distribution p_n = 1/n for all natural numbers. Does it make sense to say n = 1 is twice as probable as n=2, even if total...

Can someone give me a real-life example of an aerospace structure buckling? I need a real example to discuss column buckling theory..etc. I couldn't find any online. Thanks.

Folks, Can anyone point me to an online source detailing an example of the static condensation process in finite elements. I believe sub structuring is another term used to describe the same process. Regards Bugatti

In thermodynamics, can give any example in industry that is involving the first law ,second law ,entropy ,third law ,compressibility,expansibility,I just want to know what is the point for me to study them~~~~ One complicated example will do , thank you

hello About Einestien's train example I can't get what it really does with the constancy of the speed of light , what would be the difference if , instead of two bolts , we have two balls thrown at the same angle ?! the observer in the train would still see the front ball first...

We have that \int^{1}_{0}\frac{1}{\sqrt{1-x^{2}}}=lim_{\stackrel{}{t \rightarrow 0^{+}}}\int^{1}_{t}\frac{1}{\sqrt{1-x^{2}}}=lim_{\stackrel{}{t \rightarrow 0^{+}}}[arcsin(x)]^{1}_{t}=\frac{\pi}{2} However, I think \int^{1}_{0}\frac{1}{\sqrt{1-x^{2}}} should equal to lim_{\stackrel{}{t...

So, um, I am getting confused on integration problems where you have to do something with "a constant factor of n". Like, this example... \int\sqrt{1 + e^{4x^{3}}}e^{4x^{3}}x^{2}dx Then the example says to match it to the formula \int u^{n}du Okay... so it does that, but then...

How is charge/mass ratio derived in this example?? Hello, I know there are many ways to derive an expression for "q/m", but I am having some troubles with this one. We are given: (1/2)mv^2 = qV (mass, velocity, charge, voltage) qvB = (mv^2) / r (charge...

This is the frirst SR problem in his book. I think the question is flawed. The solution assumes a speed of 3.00 E8 m/s to calculate Δt=333us since it traveled 100km. Next, 333us and 2.2us is used to solve for velocity using the time dilation formula. Velocity is reported to be .999978c.This...

Hi folks, as I was reviewing the metric space section in Amann- Escher textbook, I came across the following example of neighborhood: "For \left[0,1\right] with the metric induced from R, \left[\frac{1}{2},1\right] is a neighborhood of 1, but not of \frac{1}{2}." However I can't point out the...

Homework Statement Define a function f:ℝ->ℝ that is increasing, bounded, and discontinuous at every integer. Homework Equations The Attempt at a Solution I've tried defining a fuction using the greatest integer function but I cannot get it to be bounded with jump discontinuities...

One can show that mass diffusion without chemical reactions obeys the same basic equation as heat conduction. The one dimensional equation in dimensionless variables is given by $$ D_{AB}\frac{\partial^2 C_A}{\partial x^2} = \frac{\partial C_A}{\partial t} $$ where C_A is the concentration...

Homework Statement Because the drag on objects moving through air increases as the square of the velocity, the acceleration of a bicyclist coasting down a slight hill is (v) = a - cv where a and c are constant. Determine the velocity of the bicyclist as a function of distance if the velocity...

Homework Statement A baseball pitcher throws a fastball horizontally at a speed of 45.0 m/s toward home plate, 17.1 m away. Ignore air resistance. (a) If the batter’s combined reaction and swing times total 0.340 s, how long can the batter watch the ball after it has left the pitcher’s...

What is an example of an "onto" function f: ℝ→ℝ2 ? Any combination of vectors along the x-axis will not be able to leave the x-axis to cover the entire xy plane, so i was thinking of something like f(x) = \left|\stackrel{t}{x}\right| for any t\inℝ, but I was wondering if there are more...

Homework Statement Give an example of a linear vector space V and a linear transformation L: V-> V that is 1.injective, but not surjective (or 2. vice versa) Homework Equations -If L:V-> V is a linear transformation of a finitedimensional vector space, then L is surjective, L is...

I was hoping someone could clarify a step of an example in my calculus textbook. lim x→∞ (√(2*x2+1))/(3*x-5) = lim x→∞ (√(2+(1/x2)))/(3-(5/x)), (since √x2=x for x>0) The description for the step says to divide numerator and denominator by x. I understand to divide top and bottom of a...

I liked this graphical example of black hole formation posted by PAllen in another thread and I want to discuss it. It is not unusual that arguments defending existence of black hole go like that: 1. Assume that BH exists. 2. Then observer falling into BH ... I think that point 1. is...

Hi all, In the book "Financial Applications Using Excel add-in Development in C/C++" 2nd edition by Steve Dalton in Section 3.7.2 Passing arrays and ranges from Excel to VBA to C/C++ and in that section a description of how this can be done is given. No example of how to do this is given and...

I am teaching AP Physics, and wrote a problem on the board as an example of how to attack a problem. I new the answer would be nasty, but I didn't actually want them to solve it. I only wanted them to reduce the problem to one e.q. and one unknown. I was wondering if there is an analytic...

Homework Statement I'm following the derivation of finding the energy flux of a gravitational wave propagating along the z-axis where they use the energy-momentum pseudotensor to achieve this, but I can't seem to get an answer that matches theirs. Homework Equations We are given a general...

Einstein drew much of his inspiration for his reworkings of space and time from philosophical books such as those written by Ernst Mach. Are there any modern philosophical science books that focus on the dilemmas of today's physics (hopefully that are respectable and not completely wacky)...

This is from a textbook but it is not a homework problem, it's an example following the introduction of the "Sandwich Theorem". It says "for all x ≠ 0", but then it appears to assume that x = 0 when it finds the limits of g(x) and h(x). Clearly 1 ≤ u(x) ≤ 1 means u(x) = 1, I don't dispute...

Greetings, I know that when encrypting something with the public key of a key pair, the encrypted data can only be decrypted with the private key of the pair. And it can not be decrypted with the public key that was just used. I do not understand how it is possible to perform a mathematical...

Homework Statement I am trying to come up with a continuous function in L1[0,infinity) that doesn't converge to 0 as the function goes out to infinity. Homework Equations I am trying to show an example of an f in L1[0,infinity) (i.e. ∫abs(f) < infinity) where the limit as the function...

Has anyone heard of some sort of book series that is meant to supplement college courses with boatloads of examples and solutions? I've always thought it would be helpful if someone were to publish a big set of these. I've been searching for just a book full of challenging examples and step by...

It is commonly believed that Bell's inequalities are a theoretical derivation of a condition that must be satisfied by locally causal theories. Therefore, it is often concluded that violation of these inequalities by experiments provides very strong evidence (if not conclusive proof, the only...

Hi. I really need an maple program example that solve tensor. Plz help me

I am reading in my textbook an example problem. In this problem, there is a rope tied to a boulder on one end, and on the other it is tied to a car stuck in the mud. A person then applies a force at the midpoint of the rope. I was wondering if someone could explain to me why the "person pushing...

I was looking to a video about cumulative distribution function () and he show the following function: \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ | 1/4, 0 \leq x \leq1 \\ f(x) =<(x^3)/5, 1 \leq x \leq 2 \\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |0, otherwise. At minute 8:45, he presents the cumulative...

Homework Statement Give an example of a continuous function f:R^2→R having partial derivatives at (0,0) with f_1 (0,0)≠0,f_2 (0,0)≠0 But the vector (f_1 (0,0),f_2 (0,0)) does not point in the direction of maximal change, even though there is such a direction. (If this is too difficult...

Hello frnds, i understand what conservative and non conservative force are but i didn't get it properly with practical example. so any article is there which explain it properly with practical example and in easy way, i searched but didn't get any article that satisfy me.

http://dl.dropbox.com/u/33103477/4.png Can someone explain to me how the bits in red are calculated with Integration, the examples are doing my head in and it would be really useful if a human could show me how they are getting the values cause mine are different.

At the bottom of the page (example 2) for question c) P(B|A'). They say P(B n A') = 0.2. But surely it is (B while not A) which in my mind should be 0.15. Can somebody tell why it is 0.2?

Any ideas? I really can't think of any myself, as I'm quite the amatuer at topology.

As I understand (from reading p. 2-06 of Marle's 1975 text on geometric quantization available on the french wiki page on "quantification géométrique") , there are physical situations where we do not know how to write the Schrodinger equation. Namely, we do not know what operator to take as the...

I got one example on my notes about PID and maximal ideal. I feel it is a strange example as it doesn't make sense to me, and there are no explanations. It says: For a prime p\in\mathbb{N}, denote by \mathbb{Z}_{(p)} the subring of \mathbb{Q} given by \mathbb{Z}_{(p)}={\frac{m}{n}...

i came across an example in my textbook as shown : http://img593.imageshack.us/img593/8444/img1314i.jpg if we used KCL and In = 0 : In = I_100 + I_25 => I_25 = -I_100 but as being written in the answer , I_25 = I_100 ! could anyone explain it for me ? thanks

This question seemed a bit abstract to me, maybe some of you could come up with an answer with explanation? When designing a dam should one consider the horizontal extent of the water behind the dam or the vertical depth of the water? Justify your answer. Thanks.

Hey I either have the worst physics textbook in the history of physics textbooks or i can't understand a topic.I'd appreciate if you help me decide which is it. (Pic related is the image of the example) First let's agree on the symbols let's call angular velocity: \omega = \frac{rxv}{||r||^2} ...

Hi Can someone please help me to prove or give a counter example is sum ai and sum bi are convergent series with non-negative terms then sum aibi converges I believe that if it doesn't say "non-negative terms" then this wouldn't be true. Am I correct? Since each of two non-negative...

According to wikipedia: "In physics, self-organized criticality (SOC) is a property of (classes of) dynamical systems which have a critical point as an attractor. Their macroscopic behaviour thus displays the spatial and/or temporal scale-invariance characteristic of the critical point of a...

Homework Statement Does anyone know of a website, or a book, where I can see a worked example of the Fourier Series f(t) = [t] -∏<t<∏ T=2∏ Finding a0 and an Of course, it doesn't have to be t, it could be x or any other variable. Thank you. Homework Equations The...

Hi, I am interested in trying to better understand the nature of fields in terms of a possibly somewhat contrived example. It seems, from a classical perspective, that an electric or gravitational field is capable of transporting potential energy between two points in space defined by two...

Give an example of a function $\displaystyle f(x)$ for which $\displaystyle f([-1,\ 1])=(-\infty,\ \infty)$. My thoughts: $\displaystyle f(x)=\frac{x}{(x-1)(x+1)}$ is a function for which $f((-1,\ 1))=(-\infty,\ \infty)$.

Give an example of a function which is periodic, non-constant, and yet has no minimal period.

Give an example of a convergent series $\sum a_n$ for which $(a_n)^{1/n}\to 1$. PS: I think I got it: $\sum\frac{1}{n^2}$

Since they are closed systems, and do not contain water, why do they use a dryer? And how does that dryer works? It uses a dissecant? If so does it need to be changed?