Independent Definition and 745 Threads

Greetings.Let me tell you a little bit of my story When I started school a year and a half ago I was pretty sure that I wanted to become an engineer. I really like the concept of the computer as a the ultimate comunication and calculation tool, and I've always have an interest in...

Hello, I had this problem to do for statistics. I am pretty sure I did the first two parts correct. The third, I am not so sure about. I'd appreciate and guidance. A player of a video game is confronted with a series of four opponents and an 80% probability of defeating each opponent. Assume...

Hi everyone, I would like to seek help in proving that the vector space postulate 1.X = X cannot be derived from the other postulates, e.g. X + 0 = X, X + (Y + Z) = (X + Y) + Z. The only hint I am given is to construct the "pseudo-scalar product" c # X = the projection of c.X on a fixed...

Don't miss this paper from the Zeilinger group: R. Kaltenbaek et al, PRL 96, 240502 (2006). In particular, read the first paragraph: Zz.

A question on a General Relativity exam that I have asks how many linearly independent Killing fields there can be in an n-dimensional manifold. I'm sure I've seen this question before and I think that the answer is n(n+1)/2, but I can't remember why! Any help?

How many independent components are there to describe the EM field? The six in the field tensor, the four in 4-vector potential or the two when Coulomb gauge is being used? thanks

I don't know if this is a rule, but can a set of vectors be linearly independent if their determinant is not equal to zero? say 4 vectors are given in R^4, if I took the determinant of the 4 vectors such that det{v1 , v2, v3, v4} is not equal to zero, could i say that these vectors are...

Just like above, is it?

Original here : http://www.everything-science.com/content/view/155/2/ After reading this , a question sprung into my head : "Where are they going to get that much Hydrogen , to replace all the fossil fuels that are used today ?" Any ideas ?

I picked number 2. Just so you get a sense of how my comments relate to the poll. I'm curious to know what brings happiness to the members here at PF. I have got into many conversations with people where they think my views are just insane and flat out stupid. I believe happiness is...

Find a linearly independent set of vectors that spans the same subspace of R^3 as that spanned by the vectors \left(\begin{array}{c} -2 & -1 & -2 \end{array}\right) , \left(\begin{array}{c} -2 & 3 & -8 \end{array}\right) , \left(\begin{array}{c} 0 & -2 & 3 \end{array}\right)...

Here is a trig question that I've been thinking about. I want to know which one would be the independant and the dependant of the points (r , theta)

Now, my textbook says that force of friction is independant from the area of contact. But, when the tyres of my bicycle get deflated i have to exert extra force than otherwise. Why?

This seems to be the goal expressed most clearly at Loops '05. it is a slight redirection or change in emphasis in the common program. Matter should naturally occur in quantum gravity. It's explicit. two leading talks in this regard were by Rovelli and Freidel In the latter's talk, Feynman...

Time Independent Rotational Kinematics equation? Ok i was trying to figure out the angular acceleration for a problem, but i didn't have the time...so the book said to use the "time independent rotational kinematics equation" but i couldn't find it in the book anywhere or even on the...

How do i find the number of independent components of the Riemann curvature tensor in D space-time dimensions. One is given that the Riemann tensor is an (2,2) irreducible rep of GL(4, \mathbb{R}) and obeys Bianchi I R_{[\mu\nu|\rho]\lambda}=0 Been trying this problem for 3 days and...

I am working with a complex scalar field written in terms of two independent real scalar fields and trying to derive the commutator relations. So, \phi = \frac{1}{\sqrt{2}} \left(\phi_1 + i \phi_2) where \phi_1 and \phi_2 are real. When deriving...

The Lagrangian of a system is given by: L = T - V, T = kinetic energy of the system, V = potential energy of the system. L is a function of the generalised coordinates for a system of N particles given by: L = L(q_1, q_2, ...,q_{3N},\dot{q_1}, \dot{q_2},...,\dot{q_{3N}}, t) Suppose L is...

Heard on the news that G.W.Bush was going to let a committee investigate why the help to New Orleans was so ineffective, and what could have been done better. This sounds like a perfectly good idea. However they also claimed that he would lead this committee by himself! :bugeye: Is this true?

Hi I'm wondering if someone can help me out on this question as to how to go about doing it: X_1, X_2... X_7 are independent random variables represnting a random sample of size 7 from the normal N(10, 7) distribution. Find to 3 dp probablitity that the sample total exceeds 88. I tried to...

:confused: I am sooo intrigued. The speed of light is independent to the speed of the observer. Why? I don't understand and is it the speed of light only that is independent to the speed of the observer? What makes it so special?

What is the relationship between the number of branch points and the number of independent current in a circuit?

Hello my question is not academic based just personal. I wanted to know if an event as a probability of P of occurring per day and it occurs everyday for a week. Then, for the week the probability is P? i.e. The probability of picking the correct number in a dice roll is 1/6. Then at...

Hello. I was wondeirng if anyone knew any good textbooks on Differential Geometry for independent study, at an undergraduate level. Thanks a bunch! -Tim

Given y1=3t, y2=|t|, determine whether the given pair of functions is linearly independent or linearly dependent. I can't do the Wronskian on this one since y2 is not differentiable at 0, is there any other way to do this?

prove if {v1,v3}, {v2,v3}, and {v1,v3} are all linearly independent, then{v1,v2,v3} is not linearly independent. I'm having trouble showing that is true other than showing a counter example when it doesn't work, namely when v1=1,v2=0, and v3=1. TIA.

I have a question about independent random variable: Let say we flip a fair coin, the set of outcome is S={H,T}, P(H)=1/2, P(T)=1/2. Define random variable X:S->R by X(H)=1, X(T)=-1. From what I read in books, I can define X1 and X2 as independent identically distributed (iid) random variables...

Let V=C[0,1] be the vector space for all-real valued continuous functions on [0,1]. If X={1,cosx,cos2x, cos3x, cos^2x, cos^3x}. How do I find a maximal subset of X?

Hello out there. I'm working on a proof by induction of the Wronskian and need a little boost to get going. So, here goes: If y_1,...,y_n \in C^n[a,b], then their Wronskian is...

Hi I'm presented with a set of vectors in \mathbb{R}^{3} v_1 = (a_1,a_2,a_3) v_2 = (b_1,b_2,b_3) and v_3 = (c_1,c_2,c_3) I'm suppose to determain if these vectors are linear independent. My question is: The most simple way of proving the above is that written the vectors as a...

f1(x)= (sqrtx) + 5, f2(x)= (sqrtx) + 5x f3(x)= x-1 i don't know how to start

What goes into an independent study? I need to take one this summer to take a math course that isn't offered then, but I'm not really certain what it involves. Do I study on my own and show up periodically to take exams? Or do I receive one on one instruction from a professor for a few hours a week?

I HAVE searched the threads before posting this but I didn't find the same question. Anyway, the question is T-F: A subset of linearly dependent set is linearly dependent. I think it is F, because for non-zero linearly dep. set a proof can be constructed so that some...

Basing it on history?

I'm in grade 11 and I have to do an independent study on Logarithms. I need a problem or puzzle that I will solve after learning logarithms. I was wondering if someone had an example of a really good use of logarithms (i.e. something made a lot easy by the use of logarithms).

Help with Friction Greetings , all fellow scientists! I've been struggling with time-step independent physics for a programming project. The problem is that it doesn't seem to be time-step independent after all. Here's some of it in a pseudo-code form. It seems to be the friction part...

What is an independent variable. Is that what you have to solve for? Like for example in the problem; y^2 = x - y.. If x is the independent variable, is that what I have to solve for, or does it mean something completely unrelated?

What does it mean by background independent and background dependent?

What is background independent physics?

I was just wondering if I can make this statement, if I was to prove any three vectors of R^3 are linear independent, can I also say those three vectors span R^3? Philip

Background Independent Quantum Gravity---new survey paper http://arxiv.org/gr-qc/0404018 this just out Background Independent Quantum Gravity: A Status Report Abhay Ashtekar, Jerzy Lewandowski 125 pages, 5 figures "The goal of this article is to present an introduction to loop quantum...

several recent papers have cited Ashtekar and Lewandowski "Background Independent quantum gravity: a status report" as in preparation or as a 2003 preprint not up on arxiv Does anyone know of a draft version online? I was reminded of their status report paper when I saw it as the...

can there be such an ST with BI?

Hello I want to buy a somewhat advanced calculus textbook to independently study from. The text doesn't need to be too pure and rigorous, but it should be more so than an engineering math text would be because I want to eventually get into theoretical physics, and I don't want to find out...

How is velocity independent of mass, specifically when talking about the Conservation of Mechanical Energy. Thanks for your time.