generalized Definition and 217 Threads

Hi folks, I have to find the generalized solution for the following Ax=y : [1 2 3 4;0 -1 -2 2;0 0 0 1]x=[3;2;1] The rank of A is 3 so there is one nullity so the generalized solution is: X= x+alpha.n (where alpha is a constant , and n represents the nullity) I found the...

Hi. I've been wondering about the following and haven't made much progress on it. (Note that I've also posted this in the relativity section since the ultimate aim of this is to apply it to canonical relativity but since this is essentially a question about tensors I thought I'd put a copy here...

Hello guys, Do you know a good source for the definition of the generalized aerodynamic force matrix? I know that the term ij is the work done by the pressure on the mode j that works with the displacements of mode i integrated over the wing domain. This formulation is derived using the...

Does change of variables generalize to situations other than integration?

[SOLVED] Measurement Issues: POVM, Neumann and generalized What is a POVM measurement? How is it different from Nuemann measurement theory and what would be the most general measurement formulation? Please keep things discrete and not continuous. -KM

I am reading a electrical engineering book about digital signal processing, in the process, those Fourier transform and discrete time Fourier transform of constant and the exponential function lead to the delta function. I understand how to manipulate them formally, but I have serious trouble...

Hello, I have a question concerning the GMM equation specification. Say we partition each day in 7 intraday intervals. We want to estimate the 7 intraday interval moments for a variable Y observed in those 7 intervals over a period of T days meaning we have t = T*7 total observations for...

I have just started to read Goldstein's classical mechanics, and he got me a bit confused: is it correct to think of polar and spherical coordinates as of generalized coordinates? the way I got it, every coordinate system different from the standard cartesian-one is a set of generalized...

This is the problem (t for theta): X ~ Expo(t) = t * e ^ (-t * x), x>0, t >0 0 otherwise Test H0: t <= 1 vs. H1: t >1 using the generalized likelihood ratio test where you have a random sample from X {X1, X2, ... , X50} and the sum of all Xi = 35. Use alpha =...

Hi, In the following document: Generalized Pell Numbers, I've defined what I call "Generalized Pell Numbers". They provide a way for computing: 1+\sqrt[m]{m}. I'd like to know if these numbers are already known or not, and if someone knows about other properties they have or if someone is...

Can anyone here help me derive the generalized Lambert function? I'm working on a solution for an ODE from the homework group which involves this function. This is what I have so far: The W-function is defined as the inverse of the following: f(x)=xe^x=y then...

This paper by Robert A. Nelson derives an exact, explicit coordinate transformation between an inertial frame of reference and a frame of reference having an arbitrary time-dependent, nongravitational acceleration and an arbitrary time-dependent angular velocity...

Dear friends, Well, I’ve got a problem to solve but I’m not going to ask you to do it for me. Instead, what I need is an explanation of what I am doing wrong. The problem is as follows: we have a rod of mass m and length l hanging of a rail (don’t know how to call it). It moves as the...

I have a conjecture that the equation X^2 - 2Y^2 = P has solutions in odd integers if P is a prime of the form 8*N+1. I know of a paper that requires one to find Q such that Q^2 = 2 mod P inorder to solve these equations using continued fractions. To get to first base in proving my conjecture...

Can someone please give me a definition of the generalized triangle inequality?

Hello, I’ve come upon a problem in my transitional mathematics course, wherein I need to prove a generalized formula for the factorization of X^n-Y^n where the first term is (X-Y). I have deduced a formula making use of the summation of X*Y over the range of positive integers ending at n...

In some of my previous posts, I referred to GPDs, a recently developped formalism describing hadronic states. I am afraid that this formalism remains largely ignored partly because few introduction review are only recently available. See for instance : Markus Diehl, Phys.Rept. 388 (2003)...