Mathematical Definition and 1000 Threads

I am trying to replicate a JAVA based applet on MATLAB. Applet can be seen http://www.engr.colostate.edu/~allan/thermo/page6/EngineParm1/engine.html" . The theory behind the functions of the applet is http://www.engr.colostate.edu/~allan/thermo/page6/page6.html" . It is actually a finite...

Hi, I wonder if anyone knows of a mathematically established way of writing elementwise multiplication between two vectors? In MATLAB you can write A .* B to indicate that you want to multiply the vectors A and B elementwise. In my case, I have two column vectors, A and B, and I want to...

FACTOR SPACE is defined in my book as the set whose elements are the equivalence classes defined by the equivalence relation R .denoted by S/R i cannot understand where this is different from equivalent class? page 8 - a coursein modern mathematical physics - szekeres any help will be...

Is this mathematical art? What kind of mathematical concepts can you see or illustrate with this figure or its elements? I see patterns, geometry, sets & algorithms. what do you see? [PLAIN]http://www.galasdeguatemala.com/data/media/159/DSCF4310.jpg Mayan weavings from Guatemala (image...

Please help! Use mathematical induction to prove.

What is the difference between applied and mathematical statistics ? Does applied statistics skip a great deal of necessary knowledge ? Is applied statistics enough to construct statistical models?

Are there any kinds of functions which satisfy f(A1 ∩ A2) =f(A1) ∩ f(A2)? Prove your claim.?

are mathematical manipulations admisible if integral are divergents ?? are formal manipulations of divergent integrals admisible whenever the integral are divergent \infty i mean if i have a 4-dimensional integral \int_{R^{4}}dxdydzdt F(x,y,z,t) why can we make a change of variable to...

I discovered a mathamatical truth that seems to have no clear logical foundation. Could anyone here explain the math behind the following? A.Given the following recursive series: S(1) = 3 S(2) = 2 S(n) = 6*S(n-1) - S(n-2) - 4 Define a new series as follows N(i) = (S(i) + S(i+1) +...

Hello I'm reading Y. Manin's http://books.google.co.il/books?id=8NTWRFD5lZ8C&printsec=frontcover&dq=yuri+manin+introduction+to+mathematical+logic&hl=en&ei=cfp_TJ2vJ8KSjAeB-6xl&sa=X&oi=book_result&ct=result&resnum=1&ved=0CCkQ6AEwAA#v=onepage&q&f=false" and I've been having some difficulties. So...

^^^ Any way to get to it by using size / weight / etc.?

Homework Statement What is wrong with my solution?... I don't quite understand where do I go from there... Homework Equations The Attempt at a Solution

Is there any mathematical formula to predict / generate / or test the prime number??

Homework Statement Explain the difference between The principle of Mathematical Induction and The principle of Strong Induction. One is easier than the other. Why? Homework Equations The Attempt at a Solution My book says that they are in fact identical. Proofs are almost the...

I'm trying to solve this problem from CH2 of spivak's calculus of which I am self-studying. Homework Statement Prove the following by mathematical induction: 1^3+...+n^3=(1+...+n)^2 Homework Equations To prove by mathematical induction, you test whether P(1) is true and if P(k) is...

I am looking for a rather simple proof that if the matrix A has eigenvalues>0, then (x^t)Ax>0 for any vector x not 0. My first tought was if the eigenvalues are bigger than 0, then (x^t)Ax=(x^t)"eigenvaulue"x="eigenvalue"(x^t)x>0, if x is nonzero and eigenvalues is bigger than 0. Is this...

Hi, There is a 2x2 matrix lock with one key in each cell. A key is nothing but a straight lever which can either be either in vertical or horizontal state. Please see the attached picture. The lock opens only when all the levers are horizontal. However, when you change the state of the lever...

I found a list of books on Amazon from a graduate student in math, who made a list of books he/she would recommend to undergraduates considering graduate school in math. They are books that he/she would ideally have learned from in undergrad classes, or that would have benefited him/her greatly...

I am going into first year Nanotechnology Engineering at Waterloo and I am thinking of transferring to Mathematical Physics in second year. Mathematical Physics starts in second year, but there are required courses from first year Applied Mathematics. I have been told by faculty members at...

Hi: I've been interested since long time ago in Economics. Also, I've heard there are science majors working in Economics/Finance firms and I've read some of the threads on physicists turned "quants". I'm actually interested in using Physics & Mathematics to create economical models. I know...

Hi everyone Im going to start a major in physics next year and I would like to follow mathematical physics afterwards but I lack knowledge about which are the areas of math that contribute the most to the development of physics. For instance I know that differential geometry, functional...

Can a statement or proposition be considered a mathematical object?

dears I study nuclear engineering (medical radiation ,MS) , my proposal for graduation is (Modeling of Acoustical Noise in MRI and It Is Validation Through Measurements). I want to make and deliver a mathematical model for reducing noise in mri,would you please tell me what should i do? and...

Homework Statement Prove the Inequality for the indicated integer values of n. n!>2^n,n\geq4 Homework Equations The Attempt at a Solution For n=4 the formula is true because 4!>2^4 Assume the n=k k!>2^k Now I need to prove the equation for k+1 I can multiply both sides by 2 and have...

Homework Statement Use mathematical induction to prove the formula for every positive integer n. \sum_{i=1}^{5}i^5=\frac{n^2(n+1)^2(2n^2+2n-1)}{12} Homework Equations The Attempt at a Solution I know this will be true because the RHS is just your standard sums of powers of...

I recently acquired my BSc in physics and am planning to continue my studies on the MSc (and hopefully PhD) level. I have reasonable expectations to get into a very good program dealing on the topics of mathematical and theoretical physics. The main topics covered by the courses in that...

I have only taken a few college physics courses, and I have watched some videos about string theory. I would like to get excited about M-theory, but I have always wondered, why there wouldn't be an infinite number of ways to unite the forces, in which case M-theory is just one possibility...

I would hope this thread could be limited to Bell-mathematical questions and answers concerning just one given Bell paper -- though it may involve many mathematical questions as we follow it to resolution. This thread concerns mathematical questions in one Bell paper and so it should NOT need...

Hi everyone, I want to find a mathematical relationship between my head direction and the direction of a camera placed at a distance. The objective is to make the camera heading to same point where my head is looking at. Both my head and the camera are in the horizontal plane and the motion...

If we feed all the existing mathematical axioms to a powerful computer, it should be able to give us all the proofs and theorems that can be derived using the axioms. Is there anything wrong with this logic?

Is the principle of mathematical induction unable to prove theorem of negative numbers?

Can i use the strong form every time? Why do people still use the ordinary form?

I am trying to develop an understanding of the forces within a tire when moving. I have been told to examine the tire as a ring of short compression springs, so I would assume each tire essentially has a spring coefficient and spring rate. I don't imagine the tire manufacturer's give...

I heard that doing physics is basically translating english into mathematical equations, Could someone elaborate on this, and provide an example? thanks"

[FONT="Georgia"]I have to take a required course for my major this fall titled Mathematical Thinking. The course description says something along the ways of "students are expected to give presentations, for examples and counterexamples and proof mathematical theories..." that's not verbatim...

I have already asked the question of piston diameter size and efficiency in an earlier thread but i'll recap. My question was that is it true that the larger diameter piston have a larger propensity to overcome the mechanical loss of fricition due to the piston rings contact with the mating...

Homework Statement At the 5% level, will the two means be equal ? Homework Equations The Attempt at a Solution I tested the variances and found out that it's very likely that the variances are equal, so this is an assumption we make when we do the second test. Now, I'm trying...

Does anyone know of any book that treats special relativity from a mathematical standpoint? I want to learn SR before starting to read Schutz/ Hartle/ Carrol.

I cannot get my head around this at all. Suppose that v is of type Vector of Integers and we know the following:- 1. v is sorted. 2. No two items in v are the same. 3. v.at(1) is 12. For an integer n, where 1 <= n <= v.size(), let p(n) be the following proposition: p(n): v.at(n) => 11...

Homework Statement All the terms of the arithmetic progression u1,u2,u3...,un are positive. Use mathematical induction to prove that, for n>= 2, n is an element of all positive integers, [ 1/ (u1u2) ] + [ 1/ (u2u3) ] + [ 1/ (u3u4) ] + ... + [ 1/ (un-1un) ] = ( n - 1 ) / ( u1un)...

Homework Statement So I was doing the following relativity problem: An atomic clock moves at 1 000 km/hr for 1 hr as measured by an identical clock on the Earth. At the end of the 1 hr interval, how many nanoseconds slow will the moving clock be compare with the Earth clock? The problem...

I'm interested in taking Classical and Quantum Mechanics courses next year at my university; however, I won't be able to take the prerequisite mathematics courses due to scheduling conflicts. I have taken differential calculus, integral calculus, and vector calculus and I will be taking an...

Homework Statement prove: 0^2 + 1^2 + 2^2 + ... + n^2 = n(n+1)(2n+1)/6 Homework Equations The Attempt at a Solution I'm confused on how to prove this by induction. I'm not exactly sure what the goal of the rearrangement is after substituting (n+1). Any help is much...

Homework Statement A car depreciates over time. x(years) y ($) 1 14000 2 9100 3 6200 4 4000 5 3000 i) determine the linear model (1 mark) ii) determine the quadratic model (1 mark) iii) determine the...

Homework Statement Prove that for all the natural numbers n that 2^n > n Homework Equations The Attempt at a Solution Base Case is easy Then the inductive step you have 2^k > k as the inductive hypothesis show that p[k+1] holds 2^(k+1) > k+1 on the left side 2^(k+1) = 2^k * 2...

Hi all, I need to figure out the mathematical notation to multiply matricies A and B = C so that... If matrix A is... a1 a2 a3 a4 a5 and matrix B is... b1 b2 b3 b4 b5 so that matric C is... a1*b1 a2*b2 a3*b3 a4*b4 a5*b5 Would this involve using a the transverse of a...

Homework Statement When certain viral particles enter the bdoy, the replicate to 160% every four hours and the immune system eliminates these particular viral particles at the rate of 50000 viral particles per hour. Find an equation modeling this viral growth. Homework Equations N/A...

For example, suppose you have a random set of points (x, y). How do you generate a mathematical model/function for these points? Is it possible to have a set of information that cannot be described by a mathematical model? How accurate are mathematical models? What determines how accurate...

i am working on the vehicle full suspension model. I am in modeling phase , i am electrical student and i am facing some difficulty in the dynamic results . When i am giving road disturbance to the vehicle the pessanger seat is getting more bounce and oscillations as compared to body to which...

Is there a separate area of study/specialization dedicated to mathematical physics? If so, what do mathematical physicists usually do?