Example Definition and 845 Threads

Hello Forum, The 1D harmonic oscillator is an important model of a system that oscillates periodically and sinusoidally about its equilibrium position. The restoring force is linear. There is only one mode with one single frequency omega_0 (which is the resonant frequency). What about the...

This is not a problem, it is just a concept check :shy: What does it mean that something does not impart linear momentum to the rest of the system? For example grain leaking out a train car.

Homework Statement example: S(18 09 12 3d 11 17 38 39) = 5fd25e03 Homework Equations The Attempt at a Solution So I know about DES that you split a 64 bit block into left and right halves 32 bits each. Where even bits are on the left and odd are on the right. Perform the round...

I am reading Section 6.4: Splitting Fields in Beachy and Blair: Abstract Algebra. I am currently studying Example 6.4.2 on page 290 which concerns the splitting field of $$ x^3 - 2 \text{ over } \mathbb{Q} $$ . In Example 6.4.2, B&B show that the splitting field of $$ x^3 - 2 \text{ over }...

I am reading Dummit and Foote, Chapter 13 - Field Theory. I am currently studying Example 4 [pages 515 - 516] I need some help with what D&F call a simple computation. Example 4 on pages 515-516 reads as follows: Now in the above example, D&F write the following: " ... ... In this case, a...

Can you guys give me a concrete example of a completely positive map from M_m → M_n?

Could someone send me some examples of B-spline curve and NURBS curve? Thank you

Homework Statement I'll be using ≈ as the equivalence symbol. If m and n are integers, define m≈n to mean that m-n is even. Then ≈ is an equivalence on Z. and [0] = {x→Z | x≈0} is the set of even integers [1] = {x→Z | x≈1} is the set of odd integers where the x→Z was used to...

In my physics book the equation for apparent weight is given as FN = mg + ma where FN is the normal force, m is the mass of the object, g is the gravitational acceleration of the object (= 9.8 m/s2) and a is the acceleration of the system. For example the system could be someone standing on a...

Homework Statement Hi,guys I have a example, i understand almost everything but i have problems understanding some steps. Example: 2u't+3u'x=0,x\inR,t>0,u(x,0)=sin(x),u=u(x,y) The Attempt at a Solution I rewrite the example (1)2u't+3u'x=u's (2)u'tt's+u'xx's=u's From comparing (1)...

Here is a example 1.3 from analytical dynamics of Haim Baruh. a particle moves on a path on the xy plane defined by the curve y=3*x^2 , where x varies with the relation x= sin(a). find the radius of curvature of the path and unit vectors in the normal and tangential directions when a=pi/6...

[FONT=arial]My friend, who is a beginner in college mathematics, recently asked me to teach her linear algebra. She has a good grip on High School math. I am looking for an amusing theorem in linear algebra which can be appreciated by a beginner in college mathematics and at the same time...

Homework Statement Give an example of show that no such example exists. A two dimensional subspace of C[0,1] Homework Equations None that I know of. The Attempt at a Solution I know that C[0,1] is a set of continuous functions but I'm not sure where to go after that.

Can you guys give me example for conduction, convection, radiation energies ?

example of "For every b ∈ R7, the system ATx = b is consistent" Homework Statement "For every b ∈ R7, the system ATx = b is consistent" I'm not sure if this is the right place to post this question. There's isn't a subsection known as 'general math' for me to post. What does the...

Hey Guys! I'm stick on this question, I know that the summation of n=0 to infinity for x^n/n! equals e^x In the question it wants me to come up with a corresponding summation for the function x^2(e^(3x^2) - 1) … I don't know how to manipulate it to get the -1. I know i can substitute x for...

Homework Statement Here is the example along with the solution: What I don't get is what happened to the R_E value. So in this model does it neglect this value? It seems like R_E could be anything and you would still get the same model.I have another question, for this same example, it asks...

I am reading Dummit and Foote Section 10.4: Tensor Products of Modules. I would appreciate some help in understanding Example (8) on page 366 concerning viewing the quotient ring $$R/I $$ as an $$ (R/I, R) $$-bimodule. Example (8) D&F page 370 reads as follows: (see attachment)...

I am reading Dummit and Foote Section 10.4: Tensor Products of Modules. I would appreciate some help in understanding Example 2 on page 366 concerning viewing the quotient ring $$R/I $$ as an $$ (R/I, R) $$-bimodule. Example (2) D&F page 366 reads as follows...

Homework Statement So I'm having some trouble understanding this paragraph from my textbook. I was hoping that maybe someone could explain it to me. For example, we can assume that the ground is an inertial frame provided we can neglect Earth's astronomical motions(such as its rotation)...

I am reading Dummit and Foote, Section 10.4: Tensor Products of Modules. I am currently studying Example 3 on page 369 (see attachment). Example 3 on page 369 reads as follows: (see attachment) ------------------------------------------------------------------------------- In general, $$...

I am reading Dummit and Foote, Section 10.4: Tensor Products of Modules. I am currently studying Example 3 on page 369 (see attachment). Example 3 on page 369 reads as follows: ------------------------------------------------------------------------------- In general, $$ \mathbb{Z} / m...

I am reading Dummit and Foote Section 10.4: Tensor Products of Modules. I am currently studying Example 2, page 363 (see attachment) and I am trying to closely relate the example to Theorem 8 and the D&F text on extension of the scalars preceding Theorem 8 on pages 359-362) In Example 2 (see...

Homework Statement So I have this rather komplex example and I am looking for help. ∇(3(r*a)r)/R5 -a/R5) r=xex+yey+zez a-constant vector R=r1/2 Homework Equations The Attempt at a Solution So the nabla " works" on every member individualy,and i have to careful here:(r*∇a),because...

Please give me example of antipodal set in infinite dimensional?

Hi there, When it sounds like I am hearing the world from underwater for a few hours/few days after a very loud music concert, is that what is called temporary threshold shift? Or is TTS something that occurs only during the exposure to high dB? (Eg. at the loud concert itself). Thank...

I know there are other things that fail about the rutherford atom but as the electron is accelerating and radiating away energy it would fall into the nucleus, my question is how much energy would the electron need to gain so that the classical atom could be stable a hydrogen atom for example

I'm a little unsure about an example of a surface integral I've come across, in which the method of projection is used. The example finds the surface area of a hyperbolic paraboloid given by z=(x2-y2)/2R bounded by a cylindrical surface of radius a, such that x2+y2=<2. The first issue I'm...

I am reading Dummit and Foote, Example 2 of Section 15.4, page 708. Rewriting the assertions of the example as exercise style questions, EXAMPLE 2, reads as follows: ------------------------------------------------------------------------------------- Let R be any commutative ring with 1 and...

Hi, I am trying to learn something about Bayesian Analysis by doing an example. I have a series of 10 matches played between A and B, where each match is the first to 3 points. With an example data set that looks like this: ABBAA BAAA AABBA BBB BABB AAA AABA BAAA AABBB AAA I...

In the definition of smooth manifolds we require that the transition functions between different charts be infinitely differentiable (a circle is an example of such a manifold). Topological manifolds, however, does not require transitions functions to be smooth (or rather no transition functions...

Hi there, I was recently watching a gymnastics video, and the three gymnasts balance on each other in a crazy tower. Here is the part: http://youtu.be/Q5L4MT8LdOQ?t=2m10s Does the person on the bottom feel a shift in the center of mass due to the top person leaning so far back, making it...

For example Griffiths' Electrodynamics, and Quantum Mechanics seems popular. and the prices are expensive. I'm curious about how much money the author make by selling these books.

Homework Statement Find example of function that saatisfies ##\lim\limits_{(x,y)\to(0,0)}f(x,y)=0## and ##0\neq\lim\limits_{x\to y}\lim\limits_{y\to0}f(x,y)\neq\lim\limits_{y\to0}\lim\limits_{x\to0}f(x,y)## The Attempt at a Solution In my opinion it is impossible. Let...

Hello, I read from several sources the statement that the set of points M\inℝ2 given by (t, \, |t|^2) is an example of differentiable manifold of class C1 but not C2. Is that true? To be honest, that statement does not convince me completely, because in order for M to be a manifold, we should...

I'm reviewing some notes regarding probability, and the section regarding Conditional Probability gives the following example: The middle expression is clearly just the application of Bayes' Theorem, but I can't see how the third expression is equal to the second. Can someone please...

I am reading Dummit and Foote Ch 15, Commutative Rings and Algebraic Geometry. In Section 15.1 Noetherian Rings and Affine Algebraic Sets, Example 2 on page 660 reads as follows: (see attachment) ----------------------------------------------------------------------------------------------...

I am reading Dummit and Foote Ch 15, Commutative Rings and Algebraic Geometry. In Section 15.1 Noetherian Rings and Affine Algebraic Sets, Example 3 on page 660 reads as follows: (see attachment) ----------------------------------------------------------------------------------------------...

I am reading Nicholson: Introduction to Abstract Algebra, Section 6.3 Splitting Fields. Example 1 reads as follows: (see attachment) -------------------------------------------------------------------------------------------------- Example 1. Find an extension E \supseteq \mathbb{Z}_2 in...

I am reading Nicholson: Introduction to Abstract Algebra, Section 6.2 - Algebraic Extensions. Example 15 on page 282 (see attachment) reads as follows: --------------------------------------------------------------------------------------------------------------------------------- Example 15...

xample 13 from Nicholson: Introduction to Abstract Algebra, Section 6.2, page 282 reads as follows: (see attachment) ------------------------------------------------------------------------------------------------------------------ Example 13: If u = \sqrt[3]{2} show that \mathbb{Q}(u) =...

I am reading Nicholson: Introduction to Abstract Algebra, Section 6.2 Algebraic Extensions. Example 14 on page 282 (see attachment) reads as follows: ------------------------------------------------------------------------------------------- Example 14. Let E \supseteq F be fields and let...

I am reading Nicholson: Introduction to Abstract Algebra, Section 6.2 Algebraic Extensions. Example 13 on page 282 (see attachment) reads as follows: "If u = \sqrt[3]{2} show that \mathbb{Q}(u) = \mathbb{Q}(u^2) " In the third line of the explanation - see page 282 of attachment - we...

one of example of cauchy sequence show that = 1/n - 1/(n+k) and In the above we have used the inequality 1/(n+m)^2 <= ( 1/(n+m-1) - 1/(n+m) ) => i don't under stand where this come from and what is inequality? can you give other example?

Please refer to the attached image (sorry for the bad cropping, they were on separate pages) I don't get what is meant by "two finite points''. Are these any two points which aren't equal to infinity? Could i have chosen f(1) and f(2) ? what am i not understanding. IF someone could explain...

A boxcar of length 8.00 m and height 2.40 m is at rest on frictionless rails. The empty boxcar has a mass of 3750 kg. Inside the boxcar, located at the left end, is a tank containing 2450 kg of water. The tank is 2.00 m long and 2.40 m tall. The tank starts to leak, and the water fills the...

can someone do a design of a FIR filter using the Window design method by hand as an example and post it? Please do not use mat lab. I would like to learn how to do it myself by hand. I have been have use Google but no luck . all the pages I have seen use mat lab in their example. So I...

Hi Here is a question with answer , in fact I don't understand the answer fully .. please can explain to me the answer .. pleas anyone clear out the answer and here in answer I saw that work is negative is that because work done by the system ? The question : - Answer

I am reading Dummit and Foote Section 13.4 Splitting Fields and Algebraic Closures In particular, I am trying to understand D&F's example on page 541 - namely "Splitting Field of x^p - 2, p a prime - see attached. I follow the example down to the following statement: " ... ... ... so...

I am reading Dummit and Foote on algebraic extensions. I am having some issues understanding Example 2 on page 526 - see attachment. Example 2 on page 526 reads as follows...