Example Definition and 845 Threads

Homework Statement May I please have help understanding this example problem in my textbook. I am working on the chain rule for finding derivatives in Calculus. What I am currently having trouble with is factoring. My textbook gives the follwing example: f'(x) =(3x - 5)4(7 - x)10...

http://img59.imageshack.us/img59/6414/puag.png The picture above is used to help understand artificial neural networks, however for now this doesn't matter as I'm only concerned with the maths. A number is input at the start of each both horizontal lines at the left hand side. The numbers...

Show by means of example that lim/x→a/[f(x)g(x)] may exist even though neither lim/x→a/f(x) nor lim/x→a/g(x) exists. I have tried using examples such as piecewise functions and rational functions, but can never validate the statement. Any guidance and help would be great. Thanks.

I'm just going to post a screenshot of the Example (free online textbook). I'm having a tough time making the leap to the first sum - what allows me to rewrite P(T|A) as the sum of the product of those two conditional probabilities? Thanks

The selection rules state that: Δl=±1 Δml=0,±1 I can't figure out a case where Δml=0 and Δl=±1, can anyone help by giving an example? Thanks.

ok this is the best example i could find of DFT http://faculty.ksu.edu.sa/ghulam/Documents/CEN352/DSP_CEN352_ch4_DFT.pdf example 1) this is what I am trying to do... however it did not work for the guy... f[1] should be the only one with an value but it was a j0.5 and he got that for...

I am reading Dummit and Foote Section 10.5 on Exact Sequences. I am trying to understand Example 1 as given at the bottom of page 381 and continued at the top of page 382 - please see attachment for the diagram and explanantion of the example. The example, as you can no doubt see, requires...

Can I have a non-trivial example of where \forall x P(x) \rightarrow \exists x P(x) fails?

I am doing a little research project into numerical methods of solving ODEs where I do 1 half of learning about the basics of numerical methods and then look at a particular method (Linear multistep) and then the second half is looking at a particular example, applying what I've learned and...

Regarding the moment of inertia constant, k, as in I = kmr^2, k is often a fraction less than one, and sometimes is equal to one. http://en.wikipedia.org/wiki/List_of_moments_of_inertia Is there an example of k being greater than one?

Homework Statement A 65-kg woman descends in an elevator that briefly acclerates at 0.20g downward when leaving a floor. She stands on a scale that reads in kg. (a) During this acceleration, what is her weight and what does the scale read? Homework Equations ƩF = ma mg - Fn =...

Hello can someone please give me an example of TWO industrial process which uses and depends on gas pressure or the change in gas pressure. Basically did this but instead wrote about gas Laws uses in different things so have to re do it (didn't read the question as we were learning about gas...

In my circuit analysis textbook, there is an example problem using a KVL loop. Though it seems relatively simple, I cannot understand the answer. the loop consists of 3 voltages: -8, 12, and the unknown, Vr2. The polarities (clockwise) around the loop are respectively +,-,+. The answer...

Eisenstein's Criterion is stated in Dummit and Foote as follows: (see attachment) ----------------------------------------------------------------------------------- Proposition 13 (Eisenstein's Criterion) Let P be a prime ideal of the integral domain R and let f(x) = x^n + a_{n-1}x^{n-1} +...

Homework Statement Homework Equations I got 4.5*10^22 /m^3 using the exact numbers that they used... which gives 4.5*10^16 /cm^3Is there some intermediate step which was not shown? ie. the numerical answer given by the equation is in some other unit which was converted to /m^3? The Attempt...

Hi all, I am having trouble understanding how to calculate specific charge. I know that it is charge/mass. But what charge are they referring to? For instance an atom may be charged + or - and may not be charged at all. In that instance are we referring to the extra charge that exceeds the...

An example of an absolutely continuous f: [0,1] -> ℝ with infinitely many points at which f is not differentiable? Now what I had in mind was weierstrass function which says that f(x) = Sum (n=0 to infinity) of 1/2^n cos(3^n x) and is continuous everywhere but the derivative exists nowhere...

I was solving a question which is the following : Give examples of 3 sets W,X,Y such that W ε X and X ε Y but W doesn't ε Y . I solved the question by taking the following 3 sets: W = {1,2} X = { 7 , 8 , W} Y = { 3 , 4 , X} looking it from the theory point of you I find that W is not...

Homework Statement I'm trying to show that f(x,y)=x\sqrt{1+y^2}+y\sqrt{1+x^2} is associative, or provide a counter example. (All variables are real numbers.)Homework Equations The Attempt at a Solution I have it down to needing to show that...

Hello, I need some examples of practical second order differential equation that can be solved by Runge kutta method. I tried searching on net but couldn't find a satisfying answer. Please help.. Thanks in advance

hello I amm trying to understand the difference between flux and specific intensity of radiation. I understand that one is dependent on distance the other is not, but can you make it more tangible with an example?

In the kinematic equation x = x0 + v0 * t + .5 * a * t^2, can someone give me an example in which x0 has a value that is not zero?

Hi guys, I don't really know how to explain my question... I've heard my professor saying something like "for ##\hat H## to be self-adjoint, Psi and its first derivative with respect to x must be absolutely continuous." However when I consider the problem of the particle in a box, the fact...

I am pretty much satisfied with the example of a rotating shell example 5.11 pg 367 griffiths electrodynamics.on many ocassions he chooses cartesian coordinates before integration (see 5.10 too) , integrates and finds w×r along y direction .then he manipulates w×r, and writes it down in...

Hi I was hoping someone could provide me with a couple examples of series that exhibit no pattern. In my course we only cover divergence that involves the limit tending to infinity or oscillation. My textbook informs me that in some rare cases no pattern may be exhibited, but doesn't list any...

Homework Statement Let S = {(a,b) : 0 < a < b < 1 } Union {R} be a base for a topology. Find subsets M_1 and M_2 which are compact in this topology but whose intersection is not compact. Homework Equations The Attempt at a Solution I'm not even sure what it means for an element of S to be...

In a barometer where a tube filled with mercury is inverted in dish filled with mercury, the mercury in the tube is suspended/rises to 760 mm mark. I read this is due to pressure of weight of mercury being equal to pressure of atmosphere. My question is that, if i were to take the tube out...

From Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, Eisberg-Resnick: "A physical example approximating the idealized situation represented by these wave functions would be a proton moving in a highly monoenergetic beam emerging from a cyclotron. Such beams are used to...

Hi PF, PLL was always a beast for me to tame. I lost a job bcoz of PLL question in interview. I wanted to know what a PLL is, how it works and what is it for etc? At least can one suggest easy tutorials pdf or good links , books etc. -Devanand T

This isn't an homework question. I am trying to understand a solved example in my book. I have attached the solved example. I am stuck at the point when it says that the instantaneous length of the spring is ##r_a-r_b-l=r_a'-r_b'-l##. I can't figure out how the author got the RHS of the...

Anyone know of any websites or books that have lots of electronics example problems? I'm in an Electronics for Scientists class and the book has zero examples it goes through to show you how to apply the stuff it tells you about in the chapters. The teacher doesn't go through any examples...

Homework Statement Greetings, In Griffiths, Introduction to Electrodynamics, example 5.5 (page 216), calculating the B field a distance “S” away from a current carrying wire. l' (dl’) is the horizontal current carry wire – will be segmented to dl’ tan(\theta) = \frac{l’}{s} In the next...

Given, say, two electrons whose spins are entangled in the singlet state. Over time, the two electrons have become somewhat spatially separated. What would be an example of a physical experiment that disentangles the spins of two electrons? As always, thanks in advance.

How do you start a proof for "Show 4 < 5"?

My book goes on to say: "If we consider both C^n and C^m with norms, then we define the norm of an M x N matrix A by.." Then the formula says norm of A=sup (over abs(v)=1) of abs(Av) = sup (over v does not equal 0) abs(Av)/abs(v) Can someone please provide me at least one example of what this...

Homework Statement Let ##a## and ##b## real numbers such that ##a>b>0##. Determine the least possible value of ##a+ \frac{1}{b(a-b)}## I took this example from page 3 of this paper Homework Equations In the article previously linked, explaining the example, the author writes...

Hey guys, I have a general question about example 4 in section 16.8 of the book "Thomas' Calculus, Early Transcedentials". So far I understand the material given in the book without any problems but this particular example is a little bit unclear to me. Homework Statement Given a vector field...

Hello A base of some space is a set of vectors which span the space, and are also linearly independent. I am looking for an example of vectors which DO span some space, but are dependent and thus not a base...can anyone give me a simple example of such a case ? thanks !

This is an example in Kreyszig Advanced Engineering Mathematics section 14.1, example 6. There are two things I do not understand about the book's example.Homework Statement They are integrating around a loop containing z_0 with radius \rho of the complex function \frac{1}{z^m}. Would it be...

We are just looking for an example of a quotient map that is not open nor closed. Let π: ℝxℝ -> ℝ be a projection onto the first coordinate. Let A be the subspace of ℝxℝ consisting of all points (x,y) such that x≥0 or y=0 or both. Let q:A -> ℝ be a restriction of π. ( Note: assume that q was...

Consider stochastic process ##X(t)## with properties $$ \langle X(t) \rangle = 0, $$ $$ \langle X(t) X(t-\tau) \rangle = C_0e^{-|\tau|/\tau_c}. $$ For example, the position of a Brownian particle in harmonic potential can be described by ##X##. In that case, the probability...

what is the permutation? and like what example? anyone knows?

I think I am not understanding the concept of compactness. Can anyone give me an example of a cover that contains finite sub-covers? for example:- G = {S1,S2, ... }, Sn={(1/n,2/n): n ≥ 2} is an example of cover of set (0,1) but it is an infinite collection.

Could someone give me an applied math example of the uniqueness theorem in the physical sciences (physics, chemistry, biology)? Because I am not sure of its application. I understand that there is an interval (x,y)~intial conditions.

I have got next interesting geometry example :-) I have got regular hexagon ABCDEF, when S (mark for area in Czech... and in the USA, British I don't know :D) 30cm2. In the hexagon is M. You know: ABM(S)=3cm2 and BCM(S)=2cm2. What is S of: CDM, DEM, EFM and FAM? So, about me... I don't...

A 1-kg pellet travels with velocity 280 m/s to the right when it collides with a 39-kg hanging mass which is initially at rest. After the collision, the pellet remains lodged in the hanging mass, i.e., it is a completely inelastic collision. The hanging mass (+pellet) then swings upward and...

Demonstrate with the help of a counter-example why the following is not a vector space. 1. A= ((x,y) \ni R^{2}/ x\geq0) I have many more questions like this, but since I cannot get the first one I think I might have a chance if I understand it. As far as an attempt at an answer, I can...

Hey, can you explain how to find expectation value in spherical coordinates? and give me a numeric example? to make this clearer, if we considered potential wells.. how can this question be included in such an exercise? thanks loads, answer as much as you can.. whatever comes to mind

Homework Statement Let S be a smooth surface enclosing the volume V, and let \vec{n} to be the unit outward normal. Using the Divergence Theorm show that: ∫∫ x \vec{r} ° \vec{n} dS = 4 * ∫∫∫ x dV, where \vec{r}=(x,y,z) Homework Equations Divergence theorm...

Homework Statement Hi. I think it will be easiest to understand if I upload a word document as it has some complicated characters. The bold letters stand for vectors. http://www.sendspace.pl/file/1f830d4ff025d966f71b62c Homework Equations Divergence theorm...