Independent Definition and 713 Threads

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.