Characteristic Definition and 287 Threads

Homework Statement Hi, I have the following circuit: http://i137.photobucket.com/albums/q208/infinitbelt/ProblemSet3Circuit1.png" Also, the following is known: X=60 V R1= 10 Ω R2= 20 Ω R3= 10 Ω R4=5 Ω R5=20 Ω R6 = 5 Ω Homework Equations V = IR y = mx + b The...

Hi, I have the following circuit: http://i137.photobucket.com/albums/q208/infinitbelt/ProblemSet3Circuit1.png" Also, the following is known: X=60 V R1= 10 Ω R2= 20 Ω R3= 10 Ω R4=5 Ω R5=20 Ω R6 = 5 Ω How do I go about finding a V-I characteristic of this circuit? I know that the...

Homework Statement Okay, so this is a three-part question, and I need some help with it. 1. I need to show that the function f(x) = e^{-1/x^{2}}, x > 0 and 0 otherwise is infinitely differentiable at x = 0. 2. I need to find a function from R to [0,1] that's 0 for x \leq 0 and 1 for x...

Homework Statement If I have a n x n matrix B, and I must show that a vector a is an eigenvector for the matrix B and I have to find the corresponding eigenvalue, what is the easiest way of doing this? The Attempt at a Solution I know I can find the characteristic polynomial, but I thought...

[SOLVED] urgent: effect of light on IV characteristic of pn junctions ^ ^;; Last resort time, needs to be answered by 4pm today. (18/01/08) It's a pretty qualitative question, and if possible I'd like a qualitative answer. The reason for this is that this is only a weekly experiment I've...

A true statement: Two similar matrices have the same characteristic polynomial. The converse however is not true in general: two matrices with the same characteristic polynomial need not be similar. HOw can I prove this? Any help appreciated.

Haven't been able to find the answer anywhere IRL yet, so I thought I'd see if someone in the PhysicsForums could help me with this one. When doing SEM/EDS (EDX/EDXS) (~equivalent to x-ray fluorescence) analysis it looks as if my europium containing samples contain copper as well, which'd...

If I am using the method of characteristics to solve a PDE \Psi(x,t) (first order, semi-linear), and after using the method of characteristics I find that the Jacobian |\frac{\partial{(x,t)}}{\partial{(\sigma,\eta)}}| = 0 (where \sigma and \eta are parameters for the curve) does this imply...

This is something I've been trying to work on on my own for the past few days but I'm not sure how to approach it. My Question: a. Let E be a Galois extension of a field F with characteristic 0. Prove that there is a unique smallest subfield K such that F \subseteq K \subseteq E , K is...

Good morning lovely people ! As I got some really helpful advice here yesterday i though i'd try it again, hopefully you haven't yet had too much from me (-: So my question is concerning the attached PDF file (Last problem #3) i am asked to find the current I_B in 3a) and 3c) but to my...

Why do you guys think that given two 3x3 matrices, they are similar if and only if their characteristic polynomial and minimal polynomial are equal (this reasonably fails for 4v4 matrices though)?

What is the definition of a characteristic of a ring? Is it the smallest n such that n1=0? or is it the smallest n such that nr=0 for all r in R.

Homework Statement The K characteristic X-ray line for tungsten has a wavelength of 1.94 10-11 m. What is the difference in energy between the two energy levels that give rise to this line? Express this in each of the following units. (a) joules J (b) electron volts eV Homework...

Hi, Why is it that if A is m×n-matrix and B is n×m matrices such that m<n, then AB is m×m and BA is n×n matrix. Then the following is true: pAB(t) = t^(m-n)*pBA(t) where pAB(t) and pBA(t) are characteristic polynomials of AB and BA thanks

In "Dr. Euler's Fabulous Formula" by Paul Nahin, early in chapter 1 is discussed characteristic polynomials of a square matrix and the Cayley-Hamilton theorem, that any square matrix A satisfies its own characteristic equation. On page 21 it states p(lambda) = lambda^2 + a1*lambda + a2 = 0 and...

Why is the characteristic of a finite field a prime number?!

And again a question: L is a field for which a \in L . The matrix A = \frac{1}{2}\left( {\begin{array}{*{20}c} 1 & 1 & 1 & 1 \\ 1 & a & { - 1} & { - a} \\ 1 & { - 1} & 1 & { - 1} \\ 1 & { - a} & { - 1} & a \\ \end{array}} \right) has the characteristic polynomial x^4 -...

The Rindler geometry and its horizon can be obtained by a simple succession of Poincaré transformations to match the frame of an accelerated observer. By combining this SR result and the equivalence principle it follows that a uniform gravitational field is represented by the Rindler metric and...

Hi all, Im currently researching into Multivariate distributions, in particular I am trying to derive the characteristic function of the bivariate distribution of a gaussian. While knowing that a gaussian density function cannot be integrated how is it possible to find the characteristic...

Let's say I'm given a DEQ: (1) y^{(n)}+a_{n-1}\cdot y^{(n-1)}+\ldots + a_{0}\cdot y=0, where y is a real function of the real variable t, for example. I could now rewrite this as a system of DEQ in matrix form (let's not discuss why I would do that): (2) x'=Ax,\quad x=(y,\ldots,y^{(n-1)}). If I...

Prove: Similar matrices have the same characteristic polynomial. By characteristic polynomial of A i mean det(A-tI) where t is a scalar. A is similar to B if A = Q^-1 B Q for some invertible matrix Q. (i.e. B is the matrix representation of the same linear transformation as A but under a...

I'm in graduate analysis this year, but I've been out of school as a teacher for 6 years so I'm a bit rusty. Any help would be appreciated on this simple question. My apologies for not knowing the Math-type. Yesterday in class we were discussing an example which demonstrated the...

Hi! What can be said about the intensity ratios of characteristic X-rays (Kalpha to Kbeta ) originating from a X-ray tube? I mean roughly and in general, not for some very specific anode material. I first thought that K-L (Kalpha) transitions would be more likely to happen than K-M:s...

"Let m_T(x), f_T(x) denote the minimal and characteristic polynomials of T, respectively. Let k be a scalar. Show that m_{T-k}(x) = m_T(x+k) and f_{T-k}(x)=f_T(x+k)." I was able to show that the minimal polynomials were the same. But my argument was based on the minimality of the degree of...

"Let T be a the transformation on V = C^3 given by the equation T(x)=-y-2z T(y)=3x+5y+7z T(z)=-2x-3y-4z where (x,y,z) denotes the standard basis. Find the eigenvalues of T and the corresponding eigenspaces." Is there a way to find the eigenvalues without solving the 3 equations? How...

This kind of bothers me: our textbook does not explain (and the professor either) where characteristic function comes from, all it says is what it defined as, which is E[ejwX], where E is expectation of random variable X. But where is this e-term coming from? Thanks in advance.

y^(7)-y^(6)-2y^(4)+2y^(3)+dy-y=0 Note: There is exactly one real zero of the characteristic polynomial and it has multiplicity 3 (it is a positive integer!). The other zeros are complex and they have multiplicity 2. Sadly I missed this lecture day, and am unsure of where to start. Any...

"property" vs "characteristic" OK, semantic hair-splitting time. The two words "property" and "characteristic" mean essentially the same thing, but they are often distinguished from each other in textbooks. For example, with waves there are two sets of attributes (yet another synonym) "the...

So, I have stared at this for a while: Notation: Q' - inverse of Q, != stands for "not equal"; Suppose A and B are nxn matrices such that A = QBQ' for some invertible matrix Q. Prove that A and B have the same characteristic polynomials I can prove that they have the same determinant, but...

Hi Guys: My question is this for the circuit in the 1st fig: sketch the transfer charcteristic "vo" versus "vI" the answer of this question is the 2nd fig. but i want to know that what is the logic behind this sketch or in other words how we can draw such a sketch. Thanks in advance

I need to calculate the characteristic function of an exponential distribution: \phi _X \left( t \right) = \int\limits_{ - \infty }^\infty {e^{itX} \lambda e^{ - \lambda x} dx} = \int\limits_{ - \infty }^\infty {\lambda e^{\left( {it - \lambda } \right)x} dx} I have arrived at the...

How can I show that if \phi(t) is a characteristic function for some distribution, then |\phi(t)|^2 is also a characteristic function?

Find the characteristic and minimal polynomials of A=[[0,1,1][1,0,1][1,1,0]] (3x3 matrix) So when I work out my characteristic polynomial I went det(xI-A)= det[[x,1,1][1,x,1][1,1,x]] = x(x^2-1)-1(x-1)+1(1-x) = x^3-3x+2 = (x+2)(x-1)^2 It's...

Can anyone here use Bohr's analysis of the hydrogen atom, to compute the characteristic impedance of the vacuum? And if not, then how would the Bohr model need to be modified, in order to obtain Z0? Characteristic impedance of the vacuum = Z_0 = 376.730 313 461 ohms CODATA value...

hello guys, does particles have behave like cars on the road?

How can an astronomer recognize a double star from the characteristic frequencies of the light that reaches him from its member stars? I have looked and looked in my textbook but I cannot come up with the answer to this one. Thank you! mmfoley

How can an astronomer recognize a double star from the characteristic frequencies of the light that reaches him from its member stars? I have looked and looked in my textbook but I cannot come up with the answer to this one. Thank you! mmfoley