Example Definition and 845 Threads

[SOLVED] Example on spherical coord. and trip. integral Homework Statement Here's the example in the book. They're proving the volume of a sphere using spherical coordinates. A solid ball T (the region) with constant density \delta is bounded by the spherical surface with equation \rho...

Define F(x) = integral (from x to 1) f take limF(x) as x goes to 0. I would like to give an example of a function on (0,1] so that the above limit exists but if we replace f with |f| the limit does not exist. So I came up with f= [(2^n)/(n)](-1)^(n+1) for x in (1/(2^n),1/[2^(n-1)]]...

Is there anybody here can give me a chemical engineering example that the final differential equation will be LAGUERRE ?

Homework Statement An 88 kg man drops from rest on a diving board 3.3m above the surface of the water and comes to rest 0.58 seconds after reaching the water. Acceleration due to gravity is 9.81 m/s^s What force does the water exert on the man? in N Homework Equations F = ma a...

Can anybody please give me an example of INTERNAL and EXTERNAL force. I was told by my Professor that there is only internal Torque at the moment when you are running toward a marygoround and grab so of the handles. PLEASE EXPLAIN ME WHY.

Homework Statement Give a specific example of an operator T on R^4 such that, 1. dim(nullT) = dim(rangeT) and 2. dim(the intersection of nullT and rangeT) = 1 The attempt at a solution I know that dim(R^4) = dim(nullT) + dim(rangeT) = 4, so dim(nullT) = dim(rangeT) = 2. I also...

I learned that given a vector space we can construct a basis for it. Can anyone give me an example of this thing (except the trivial example of 2-D and 3-D euclidean space.)

is there a situation where the gravity is negative for example(-0.1) and is it possible i think it is impassible but i have a Friend who believe it is possible so is it possible ? :smile:

I'm looking for a particular (actually, there are probably several) of two numbers that are "extremely close together" - by which I mean they share the first 15 or so significant digits before they differ from each other. I've seen at least one really excellent example of something like...

Assume a weight hanging vertically in a strong, thin and inelastic long cable which is fixed in the top end. The top end cable is then released. When will the mass at the bottom part of the cable start moving downwards?? a) Immediately. In this case information is transferred faster than...

Problem Determine all possible non negative integer pairs (x, y) satisfying this equation: 2^x – 5^y = 3 My Attempt: If x =0, then 5^y = -2, which is a contradiction. If x =1, then 5^y =-1, which is a contradiction. If x = 2, then 5^y = 1, so that y = 0 If x>=3, then we...

I'm wondering if someone can give me an example of an everywhere defined unbounded operator on a (separable for simplicity) Hilbert space in a "constructive" manner. Since it's unbounded, simply a dense definition (i.e. on an orthonormal basis) wouldn't work since you can't extend it by...

Are there any resources on the web that provide example problems (with solutions) to Signals problems? My textbook (shown below) lacks any clear example problems (shows answers without showing you how to get them). If someone could point me toward examples of Convolution, Fourier series, or...

I remember reading a while ago about an animal with a fairly large range. Animals in areas adjacent to each other were genetically similar enough to interbreeed with no problems, but animals from opposite ends of their range could not. I think they existed in semi-isolated populations but am not...

Does anybody knows a textbook, a paper or any lecture notes that discusses the \phi^3 interactive field? I use as main reference Ryder's QFT, which discusses only the \phi^4 interaction. And most similar textbooks (like Peskin's, Brown's etc.) do so. I have derived the point functions and...

Does anybody knows a textbook, a paper or any lecture notes that discusses the \phi^3 interactive field? I use as main reference Ryder's QFT, which discusses only the \phi^4 interaction. And most similar textbooks (like Peskin's, Brown's etc.) do so. I have derived the point functions and...

Please help me, it is my first tym to do Demonstrative project could u post here sites/links where i can see different examples of DP? or just note the sample title of DP please i NEED HELP! THanK YoU!:biggrin:

Homework Statement I have been going through some past exam papers and have come across this vector space question that I cannot find relevant examples for. Consider the vector space V of n-th order polynomials p(x) = a0 + a1x + a2x^2 +· · ·+anx^n, where a0,a1,a2, ...,an are real numbers, and...

example of h: R-->R^2 such that h is onto Hello everyone, can anyone suggest an example of a function h: R --> R^2 such that h is onto. All I could come up with is the following: h: R --> R^2 ==> f(x) = y[SIZE="1"]1 g(x) = y[SIZE="1"]2 ==> for h to be onto I need to find a...

Homework Statement Give examples to show Path components need not be open or closed. I assume it means give one that is not open and one that is not closed. So one a path component that is open (to satisfy not closed) and one that is closed (to satisfies not open). Or is the question asking...

In this example, which I found via Wikipedia on Delayed Choice, http://www.bottomlayer.com/bottom/basic_delayed_choice.htm" it makes the "observer" special, i.e. it's the observer who "chooses" whether the photon goes through one slit or the other, or through both as a wave, or more...

I know there are many examples of rings like R[x], N, Q, where the elements can be fundalmentally different like polynomials and numbers. But are there different type of modules like there are rings? Or are modules just any vector? And the modules are different when you consider which R...

If I have a variable q, and think of it as an operator, and want to postulate another operator p so that it satisfies a commutation relation [q,p]=i\hbar, a definition p=-i\hbar\partial_q will do this. If I instead wanted an anticommutation relation \{q,p\}=i\hbar, what would be an example of...

Homework Statement A textbook shows an example of work. Either my understanding of Work and how to calculate it is wrong, or the text is wrong, I am going nutty here and not sure which is wrong, I think it is the text but, then again, I am biased. The example goes as follows: (between the...

Homework Statement An example in my notes. To solve for green function of a differential equation. eg x^2(y'') - 2x(y') + 2y = x^3ln(x) The first thing is to solve the kernel by solving Ly = 0 and it says the form of L suggests trying y = x^m How to I obtain the suggested form of L?

Using the well-known rule for multiplying numbers raised to powers: u^{\frac{a}{b}}v^\frac{c}{d}} = (uv)^{\frac{a+c}{b+d}}, 3^{2/3}9^{7/6} = (3*9)^{\frac{2+7}{3+6}} = 27 If you can think of a better way I'd sure like to see it! :biggrin:

Hi, I am curious to kow about this smoothing concept that I've seen mentioned somewhere but do not understand. It would be great if someone could explain it to me, preferably through a solution to this problem. Thanks for any comments. (Latex did not generate in the preview, so if it seems there...

Hi, just a home work question I am having problems with. it has to be solved graphically. (1) Give an example of a continuous function f : [a,b] -> R that has no local maximum or local minimum at an endpoint

The Intrinsity caches are 16 KB caches and have 256 blocks with 16 words per block. Thus data is 64 bytes = 512 bytes. The tag field is 18 bits (32 - (8 + 6)). Total bits = 256 x (Data + Tag + Valid) = 256 x (512 bits + 18 bits + 1 bit) = 135,936 bitsI'm confused on how they got 64 bytes...

i have a question... according to time dilation...as an object travels close to the speed of light, relative to antoher observer, the time goes slower in the moving object and it will appear to be "younger' if it was a person on the space travel... however, relative to the person on the...

Hi all. This is not strictly a question on differential equation but I think the topic asymptotic expansion is too closely related to D.E. and I think those experts in D.E. would help with my simple question here. Please refer to the attached figure. I would like to know how one could come...

Hi all. I recently read an article by a MIT prof. about RLC etc ckts in which he has given a spark plug example. I think the analysis given by him is faulty. The link to the document is here: http://ocw.mit.edu/NR/rdonlyres/3EBFD5FD-DCF5-422A-A7E3-E1312C74153D/0/trns1_rc_lc_rlc1.pdf I...

Homework Statement Give an example of an ohmic and non-ohmic device. Homework Equations N/A The Attempt at a Solution Resistors - Ohmic device Light Emitted Diode (LED) - Non-Ohmic device I just need confirmation at the moment. I am trying to answer some questions and this...

Homework Statement Give an example of a linear transformation whose kernel is the line spanned by: -1 1 2 in lR³ Homework Equations The Attempt at a Solution Would: 1..(-1)...0 0...0...0 0..(-2)...1 be a solution?

i need help on figuring out how to combine the compounds and make them an ester, in other words i need help with esters,

Need To Example Questions Of "laplace's equation in Boundary-value Problem"in 3DSpace Please Help Me : Need To Example Questions Of "laplace's equation in Boundary-value Problem"in 3D Space. Can Anyone Give Me a File That Contains This Type Of Questions? I Need At least 20 Examples...

I need to give examples of an instance in which temperature remains constant when heat flows in and out of a system, isothermal by definition. I know the textbook example (slowly heating an ideal gas in a cylinder with a piston on one end, volume increases as pressure decreases, etc.), but are...

Give an example of a set X with two topologies T and S such that the identity function from (X,T) to (X,S) is continuous but not homeomorphic. I always struggle with these because I get overwhelmed by the generality that it has. Any ideas would be very much appreciated.

was wondering which formula I would use to solve this equation... a car traveling in a straight line has a velocity of +5.0m/s at some instant. After 4.0seconds, it velocity is +8.0m/s. What is it average acceleration in this time interval?

Hello everyone, I'm trying to understand this example in the book: It says: Suppose 2 members of the group of 12 insist on working as a pair--any team must cointain either both, or neither. How many five-person teams can be formed? Solution: Call the 2 memebers of the group that...

Can someone help me to prove the law of conservation of momentum using an example?

(a) Give an example in which the net force acting on an object is zero and yet the net torque is nonzero. (b) Give an example in which the net torque acting on an object is zero and yet the net force is nonzero. can b be torque= Tension(12 N)(radius 0m) ?

I don't remember any rules on how to calculate limits approaching infinity. for example, can someone please explain the following limit to me (-1/2) lim (t->infinity) 1/(t^2 + 2) + 1/4 = 0 + 1/4 = 1/4 Thanks!

I'm trying to understand the Hahn Banach theorem, that every bounded linear functional f on some subspace M of a normed linear space X can be extended to a linear functional F on all of X with the same norm, and which agrees with f on M. But the proof is non-constructive, using zorn's lemma...

This is a question on a recent assignment that I can't figure out. I think if I understood the first part, I could get the rest. Let {a_n} be a convergent sequence with limit L. Prove or provide counter examples for each of the following situations. Suppose that there exists a number N...

I'm having trouble following an example in the book. I don't understand a few steps which I have marked in bold. Any help would be awesome! Thanks. Q: In vacuum-tube diodes, electrons are emitted from a hot cathode at zero potential and collected by an anode maintained at a potential V_0 ...

Where can I find a good course (maybe in pdf) that give me a lot of example of mechanical structure? Statical, dynamical? Thanks.

HEllo everyone. I'm trying to find a counter example that will prove this false. But it may be true but I'm hoping it isn't :) For all integers a and b, if a|10b then a|10 or a|b. I said false, a = 3, b = 5. 3 is not divisible by 50. 3 is also not divisble by 10 nor 3 divisible by 5...

Hello everyone. I'm wondering if I'm allowed to use a counter example to disprove this. I'm not sure if I'm understanding the statement correctly though. THe directions are: Determine whether the statement is true or false. Justify your answer with a rpoof or a counterexample. Here is...

can somnbody pls give me a simple example to show halting problem pls thanx