Elementary Definition and 537 Threads

Hello all, I'm taking my first year in linear algebra and I'm having some issues understanding how to deal with some problems involving elementary matrices. First off, i have a set of problems that ask to find the elementary matrix E such that AE=B, and secondly i have a set of problems asking...

Hello, I have been trying to solve this type of question but the results of my efforts are frequently disappointing. Since this is considered elementary and simple I have no doubt that someone can help me with this: Solve arcsin (3/5) + arctan (1/7). What if it had said 641/19 instead of...

Homework Statement Determine the reduced row echolon form of | cos(x) sin(x) | | -sin(x) cos(x) | Homework Equations you can interchange any two rows or columns, multiply a row or column by a nonzero number, add a multiple of one row or column to another The Attempt at a...

Can Gamma(i) be expressed in terms of elementary functions? I know Mod(Gamma(i)) can. Bob.

Note: I posted this a month ago in the homework forum, but never got a reply. It really is an elementary question, and I think someone here might know the answer. (I hope I don't get an infraction for the re-post! If it's inappropriate, please delete.) Homework Statement Show that y(t)...

Question: I need to show that K = \mathbb{Q}(i, 2^{1/4}) is a Galois extensions of \mathbb{Q}. If I show that |Gal(\mathbb{Q}(i, 2^{1/4})/\mathbb{Q})|= [\mathbb{Q}(i, 2^{1/4}):\mathbb{Q}] , then we're done. Another approach is to find an irreducible polynomial f(x)\in \mathbb{Q}[x] such...

Hi! Although nobody can see the shape of elementary particles, we always assume that their shapes are symmetrical, for example, sphere. Why? Is the symmetry a law? Otherwise, are there any other reasons? Patrick

Does elementary number theory have any applications in physics? If so how?

In a right-angled triangle hypotenuse equals 10, altitude equals 6. What is the area of the triangle? Answers: 60, 30, 24, 16

Homework Statement For any open set U \subset \mathbb{R}^n and any continuous and injective mapping f : U \rightarrow \mathbb{R}^n, the image f(U) is open, and f(U) is a homeomorphism. Homework Equations N/A The Attempt at a Solution I am trying to learn how to write proofs, so...

I'm trying to teach myself differential geometry from the internet, and I've hit a snag in proving homeomorphisms. First, show that \Re^n is homeomorphic to any open ball in \Re^n. (I'm not sure how to write the conventional "R" using Latex.) I'm trying to prove this statement, but I am...

Hi I have some problems with really basic equations (really elementary) Let's say in order to solve an equation f(x)=0, we multiply the equation by x. Therefore we conclude that x can never be =0. But what if at the end step we conclude that x=0 (maybe along with other solutions)? Do we...

In an early set of experiments, Milikan observed that the following measure charges, among others, appeared at different times on a single oil drop. What value of elementary charge can be deduced from these data? 1) 6.563 x 10^-19 C 2) 8.204 x 10^-19 C 3) 11.50 x 10^-19 C 4) 13.13 x 10^-19...

Well There are numerous problems, I'll post up a few at a time. This is part of a larger assignment and I am so ashamed to say that I don't have any idea on some of them. 1) Factor x^8+2x^4y^4+9y^8 and a^4+b^4+c^2 - 2(a^2b^2 +a^2c+b^2c) I thought maybe it was some perfect square, the first...

I have a course on this in the following year and was just wondering what kind of texts are useful for a course on elementary topology. The course description is this: "Set Theory, metric spaces and general topology. Compactness, connectedness. Urysohn's Lemma and Tietze's Theorem. Baire...

Obviously, most elementary functions do not have elementary functions as integrals. For instance, the integral of e^-(x^2) is not an elementary function even though its integrand is. My question is, what is the smallest set of functions which includes the set of elementary function and is...

It is possible to calculate the velocity of falling bodies (ignoring air resistance of course) using a gravitational acceleration constant. If there is some other resistance, other than air, is it reasonable to simply reduce the acceleration by some amount to account for that resistance, if...

Homework Statement Sphere A with charge -3q is 1.5 m from another identical sphere B with charge +5q. The two spheres are broughtinto contact and then separated by a distance of 1.5 m; the magnitude of the force between the spherees is 8.1 X 10^-2 N. a. Find the number of electrons...

I need to find the electrostatic force & the number of elementary particles between two charged balloons held in the center of their strings (Think of an Isosceles Triangle). Homework Statement Mpurple(balloon) - .00354 kg Mred - .00405 kg Lpurple - .725 m Lred - .68 m θ = 16° T =...

My teacher told me that elementary particles don't have position. Well, I don't understand this; it's like an oxymoron to me. Anyone with a easy-to-understand explanation?

The two bodies shown at the picture are moving along the surfaces marked as A and B with no friction and no rotation and with the same initial velocity. Which one will arrive first at the wall? We may assume that the second body never looses contact with surface B. Note that this question was...

What exactly is electron spin and intrinsic spin of elementary particles.Any link teaching these concepts from scratch would also be appreciated . Thnx

Hello All, First off, I will apologize in advance for being so ignorant and scatterbrained. Please humor me. In my Calc. I class, we are currently covering the continuity of functions. Our current problem set consists of determining where a given function is NOT continuous. My professor...

Free e-book is now available. Author: http://arxiv.org/find/grp_physics,grp_math,grp_nlin/1/au:+Sharipov/0/1/0/all/0/1" Title: Foundations of geometry for university students and high-school students Link: http://arxiv.org/abs/math.HO/0702029/"

What is mean by an "elementary particle"? I have always been intriguing about the definition of an "elementary paticle". Can we actually "define" a photon as a wave function $\psi(r,t)$ solution of the Maxwell Equation and "define" an electron as a wave function solution of the Klein-Gordan...

I am just starting in elementry Physics and so in fear of asking an over simplified Question Can some one break down the common Law's of Physic's relating to natural occurances such as Motion/Electricity/Vortex's and any other relitive information you may deem esential. Mark

The prompt for the question I am seeking help on is: "A freezer contains 20 kg of food with a specifit heat of 2x10^3 J/kg*c. The temperature inside the freezer is initially -5*C. The freezer motor them operates for 10 minutes, reducing the temperature to -8*C." I have found solutions to...

Homework Statement 1) How many electrons make up a charhe of 1 mu C? 2)What is the magnitude of the force a 10-mu C charge exerts on a 3.0-mC charge 2.0 m away? (1 muC=10^+/-6C , 1 mc=10^+/-3C) Homework Equations FE=(kQQ)/d^2 The Attempt at a Solution 1) (10E-6 C)/(1.6E-19) I got...

Hi all, is there a general way of proving that sqrt(r1) + sqrt(r2) + sqrt(r3) + ... + sqrt(rn) is irrational, given that none of r1, r2, r3, ..., rn is the square of a rational number? (or is this statement even true in general?) for the case when n = 2, the proof is quite...

Elementary Differential Equations With Boundary Value Problems (Hardcover, 2003) Author: C. H. Edwards, David E. Penney Format: Hardcover ISBN: 0131457748 2003 Publisher: Prentice Hall 768 pages Edition: 5 Language: English

Im just going through a practice exam and I was wondering If I could get someone to check my results. Q1 Let X = \{1,2,4,5\}, where elements of X are the sets 1 = \{0\}, 2 = 1 \cup \{1\}, etc. Evaluate each of the following: a) X \backslash \{2\} = \{1,2,4,5\} \backslash \{2\} = \{1,4,5\} b)...

Elementary matrix is constructed out of identity for gaussian elimination, it's easier to see it on an example: if A = 1 2 3 4 5 6 7 8 9 and E 1 0 0 -4 1 0 0 0 1 then EA = 1 2 3 0 -3 -6 7 8 9 so now the problem asks how are rows of EM related to the rows of M if E is 1 1 1 0 0...

The driver of a car wishes to pass a truck that is traveling at a constant speed of 19.0 m/s. Initially, the car is also traveling at a speed 19.0 m/s and its front bumper is a distance 23.7 m behind the truck's rear bumper. The car begins accelerating at a constant acceleration 0.550 m/s^2...

Remove the last digit from a number and subtract twice this digit from the new (shorter) number. Show that the original number is divisible by 7 iff this difference is divisible by 7. I have only the division algorithm and the fact that the integers are closed under...

The Background: I'm looking to put together a 40 minute talk on the group structure of elementary particles for a group of undergraduate mathematics students many of whom know little about group theory - sort of a math talk with a physics flavor (no pun intended). So the talk would include...

# It is said that atoms of elements of high atomic mass are unstable. So they emit alpha, beta or gamma rays. Suppose an atom emits alpha rays. The binding energy of alpha particle is about 27 MeV(million electron volt). It is said that as a result of this emission, the binding energy per...

Good day. My question is this. Let A be a square matrix. I know that if Det (A) is not 0, then A can be put as the product of k elementary matrices. But in Marsden's Elementary Classical Analysis I have read that ANY matrix can be put as the product of elementary matrices. Iit is ok...

Let H_{n}=\sum_{k=1}^{n}\frac{1}{k} be the nth harmonic number, then the Riemann hypothesis is equivalent to proving that for each n\geq 1, \sum_{d|n}d\leq H_{n}+\mbox{exp}(H_{n})\log H_{n} where equality holds iff n=1. The paper that this came from is here: An Elementary Problem...

Questions in quantum mechanics that have puzzled many folk are often of this nature: Why do elementary bits of matter and/or energy sometimes behave like waves and sometimes like the tiny nuggets we call particles? Why can both the position and momentum of a particle like an electron not be...

Is there are conflict between the time-symmetry of some elementary processes and the evolution of the wave functions for those processes? For instance, the emission of a photon from atom A subsequently absorbed by atom B should AFAIK be time symmetric such that it could be viewed as an emission...

Hi. So I was reading through "Elementary Real and Complex Analysis" by Georgi E. Shilov (reading the first chapter on Real Numbers and all that "simple" stuff like the field axioms, a bit of set stuff, etc.). Anyways, so while I was reading, I ran into something I couldn't understand... the...

50g of sulphuric acid of relative density 1.84 are mixed with 50g of water, and the relative density of the mixture is found to be 1.40. Calculate the contraction in volume which has occured? My attempt follows. R.D., = density of acid/density of water => density of acid =1.84g/cm^3. A R.D...

I cannot seem to get anywhere with this integral I was wondering if anyone could provide insite into a special function or some technique I overlooked (only tried integration by parts and it got me nowhere). Also, forgive me for not knowing how to format it so that it appears pretty...

Hey folks, new guy here! I have a couple of, what I believe to be, pretty elementary physics questions. I hope you can help me adjust my formulas and help me figure this out! I have this formula for calculating how long it takes an object to fall a certain distance: Time(squared) = (2 x...

By what means do scientists detect the presence of elementary particles? How do we know what we are looking at through these means of detection? Thanks

i'm a hight school student and this is a stupid question: why "3 x 0 = 0" and "3/0 = nothing"? should make 0 too. it bothers me from years

Supposing there are some most elementary particles which are not composed of subparticles, would these have any attributes? I mean "attributes of a particle" as something whose value i can determine by looking exclusively at that particle. For example, under this definition, "position" isn't...

In this thread, I will explore some elementary concepts in fluid mechanics, starting with the distinction between a particle description and a field description (Lagrangian vs. Eulerian formalism). I will continue by distinguishing between the concepts of particle trajectories, streamlines...

Hi, i was reading a paper about finance and stock markets and i found a reference to Lewis Little's: Theory of Elementary Waves (TEW). I have olny basic knowledge about QM so i can't say if this guy i right or no so i am asking the experts. He says with his theroy he can succesfuly...

Hey, If we use the Friedman Equation form to find time(excpected) for a given particle's Rest Mass energy as our input value, does it mean that the most energetic particles were 'born' first and the lighter particles 'born' later on in time in a linear, sequential order? eg. T quark...