Points Definition and 1000 Threads

Hi, I am working on TDR (Time Domain Reflectometry). I send a 7GHz bandwidth fast rising edge (14ns) square wave into a coax. I get a return Signal. I have an ADC with 10Msamples/sec. I am using MPLAB IDE for coding the microcontroller. Now I would like to increase the Points on the...

Hi I am new member and I am new to the Signal processing so I hope I could get some help from the members to able to understand the concepts. I have a Signal. I have a 10Msaples/sec ADC. I view the Signal on an Oscilloscope which has 20Gsamples/sec sampling rate. The Point where I am...

Homework Statement [/B] Find the potential difference between points b and a in the circuit below I have already solved for the voltages of the two batteries (1 and 2) in the circuit (18 V and 7 V respectively) 2. Homework Equations Kirchhoff's Rules 1) Potential difference across any...

Homework Statement First things first, this is not a HW but a coursework question. I try to understand a concept. Assume we have a one-dimensional dynamic system with: x'=f(x)=rx-x^3 Homework Equations Fixed points are simply calculated by setting f(x)=0. The Attempt at a Solution If I...

I have lately been trying to understand branch points and branches used for complex, multivalued, functions. From doing questions and reading online, however, I get an unclear view of what branches points are. Take the function: f(z)_a = (z^2+1)^\frac{1}{2} or f(z)_b = log(z-1) Based on...

Homework Statement Hi, I'm stuck with this question: How many branches (solutions) and branch points does the function f(z) = (z2 +1 +i)1=4 have? Give an example of a branch of the multi- valued function f that is continuous in the cut-plane, for some choice of branch cut(s). Now by choosing...

Mentor note: Member warned about posting a question without the template 1. Find the electrical potential between A and B given that R1=R2=R4=100 Ohms; Power dissipated by R3 is 200 mW at 9 Volts [ code ] A---------R1-----------*------------------- | |...

Homework Statement Describe the set of points determined by the given condition in the complex plane: |z - 1 + i| = 1 Homework Equations |z| = sqrt(x2 + y2) z = x + iy The Attempt at a Solution Tried to put absolute values on every thing by the Triangle inequality |z| - |1| + |i| = |1|...

Homework Statement (a): Show the lagrangian derivative in phase space (b)i: Show how the phase space evolves over time and how they converge (b)ii: Find the fixed points and stability and sketch phase diagram (c)i: Find fixed points and stability (c)ii: Show stable limit cycles exist for T>ga...

I'm doing some image processing of some tidal lines that I'm trying to digitize from photographs using Matlab. The digitization is heavily dependent on the indexing of the image of x-values (time) and y-values (water level). After some initial processing based on pixel contrast, line continuity...

I have an equation of a line question a) Find the equation of the straight line with gradient 2 passing through point A (-4,3) I worked out the equation of the line, which is, y=2x+11. But having trouble with question b) and c) b) if the line in part a) intersects the line y=x+8 at point B...

I have some questions with regards to conjugate points on a congruence of time-like geodesics (will be referring to Wald 9.3 throughout). First, we define ##\gamma## to be a time-like geodesic with tangent ##\xi^a## parametrized by ##\tau## and with ##p\in\gamma##. We consider the "congruence of...

I'm wondering if I'm right or wrong. question is Apply differentiation to determine the co-ordinates of the turning points on the graph Y=X3-6X2+9x and finf max and min turning points

Homework Statement Rigid uniform Rod 'AB' of mass 'M' and Length 'L' is pulled slightly ( Gently ) at the bottom at time t=0 when it just reaches the horizontal ground, at that time find the Velocities of End Points of the rod. All the surfaces are friction less. Homework EquationsThe Attempt...

Here is a difficult probability question I found interesting and thought I'd share: Suppose you are standing on an infinitely large square grid at the point (0,0), and suppose that you can see infinitely far but cannot see through grid points. Given a random grid point z = (x, y), where x and y...

The question revokes around my personal hypothesis that there is two forces connected with the Gravitational Field one obviously attraction between two bodies that is linear and the second is a less powerful repulsive force that emanates in a spiral motion off of rotating bodies that causes the...

(from my limited understanding) In our observable universe a photon could travel say, 5 billion light years in a straight line if unperturbed. Call the points X and Y traveling down-up. If point X was moved one Planck length to the left, would it still be able to travel exactly to point Y?

< Mentor Note -- thread moved to HH from the technical math forums >[/color] My final assignment in graduate algebra is to write an essay about the relationship among the subjects we have learned so far this semester: (1) Module (2) The Field of Fractions of an Integral Domain (3) Integrality...

Homework Statement Hello Assume that I want to find voltage between two points that place in different location (for example A at r1 and B at R2) now I'm confusing 1-when we use positive and negative linear electric filed integral or 2-and how can we define integral limitation? Thanks

I am trying to find out what is the best method / correct formula to calculate Flow rate at inlet/outlet when pressure is known. Please see attached image. any help would be greatly appreciated. Note: Flow Rate can Vary from 100 sccm to 500 sccm.

(Sorry text is hard to read, please see attached document for an easier read) I am having trouble with #6, I'm not sure if what I have going on is entirely correct. Also #7 is a little confusing. Problem Statement & work done: For an object in orbit around a second, there are five LaGrange...

The legs of chateti of a right triangle are 9 and 12 cm. Find the distance between the intersection point of bisectors and the point of intersection of the medians

Homework Statement Let A be a set of critical points of the function f(x). Let B be a set of roots of the equation f''(x)=0. Let C be a set of points where f''(x) does not exist. It follows that B∪C=D is a set of potential inflection points of f(x). Q 1: Can there exist any inflection points...

Homework Statement [/B] The shape of a car windshield is approximated in the figure below; its length is 2.0 ft and height is 1.5 ft. Obtain an equation of the windshield shape r as a function of θ, r(θ), in the polar coordinate system shown in the picture. When the car moves at 55 mph...

Last Tuesday ,I came across an old lady[looking a bit disorientated] in the street who asked me "Is today a Sunday ,I need to go to church?" I said to her "Its a Tuesday" This set me thinking about "phases of the moon","364.25 days for Earth to orbit Sun", 52 weeks made up of 7 days etc etc...

Hello, I have the following problem. I have a system of differential equations, with two parameters that satisfy certain condition. 0 < 1.5(1-a) < b < 1. So when I fix the value of a I can find values of b satisfying this and its associated equilibrium point. When I calculate (with...

1. A spring of spring constant k is attached to a support at the bottom of a ramp that makes an angle θ with the horizontal. A block of inertia m is pressed against the free end of the spring until the spring is compressed a distance d from its relaxed length. Call this position A. The block is...

When I am given a function quadratic, square-root and inverse variation I am often uncertain as to how to select my points to graph the function. Usually I can find my vertex easily enough and y and x intercepts if any but otherwise I don't know how to select my points. Are there base points for...

Homework Statement Determine the points for which ##f(z) = \frac{z^2 + 3}{(z-3)^2(z^2 - 4z + 5)}## is analytic and singular. Homework Equations Theorem 133: Suppose c is a complex constant and suppose the derivatives of the complex functions f and g exist at z. Then 1. Sums ##\frac{d}{dz}...

Hello everyone, I have to determine at which points the function ##\displaystyle f(z) = \frac{1}{z}## is analytic. I just want to verify that I understand what the Cauchy-Riemann equations tells us about a function, in terms of its differentiability, and what it means for a function to be...

Hi, I'm building a fluid model and using the method of characteristics to solve it. I'll not go into the details as they aren't necessary. Basically I have two points $(-\epsilon,70)$ and $(\epsilon, 0)$ and need to create an exponential curve between them. Could someone please tell me of a way...

Hi everyone. It's been years since I've done any stats, so I need a bit of help, please. I want to include it in a blog post I'm going to do (not here on PF), so I don't want to give away too many details :p I apologise for my terrible understanding of stats, please be patient! Anyway, over...

I understand that asymptotically free theories must be based on UV fixed points rather than IR ones, because the RG flow goes into rather than out of an IR fixed point, so an asymptotically free theory based on an IR fixed point is trivial at low energies. But at higher energies the coupling...

For finding fan performance curve where better to put static pressure probes - near the surface or near the center of the duct ?

Homework Statement Find the intersection points of y=3x^2 and y=3^xHomework Equations They must be found with graphing techniques and cannot be proved algebraically. The answers are (-.451,.0609), (1.3), and (3, 27). The Attempt at a Solution Table of values from -3 to 3 for x, and i can...

Are there any elaborated theory or method how to fit parameters of a function family to data given by probability distributions of data points instead of given coordinates of points precisely without error? I think this is a very general problem, I hope it is already solved. Important: I...

Let f(x,y) be defined by f(x,y) = [x2y2]/[x2y2 + (x-y)2] a) Find the domain of the function f. b) show that (0,0) is a boundary point of the domain of f c) Compute the following limit if it exists: lim (x,y) ---> (0,0) f(x,y) The Attempt at a Solution a) I first change the value (x-y)2 to...

In the above title 10 and 1000 are arbitrary numbers I will use them below to signify the concept of a smaller and larger number. I know that n points are described by at most an x^(n-1) polynomial. What I really mean to ask is: Is it possible to take a "smaller" amount of points say 10, go...

I have worked for an hour on this - with my mom too. 5 geometry students are sitting in a row. Lee is the same distance from Linh that Linh is from Brad. Tiina is seated between Tammy and Linh. Brad is sitting next to Tiina. Tiina is not seated between Brad a Tammy. What order are they...

graph the elliptic paraboloid $4x^2+y^2-z=0$. find four distinct points on the graph this is the graph. do i just find four random points now that lay on it?

Homework Statement Infinitely long cylinder of radius R with uniform charge ρ. Calculate the electric potential at all points in space. Homework Equations V(a)-V(b)=-∫ba\vec{E}(\vec{r}')°dr'\hat{r} The Attempt at a Solution Generally potential is calculated with a reference...

The problem is: Let A, B and C be fixed points, and α,β,γ and κ are given constants, then the locus of a point P that satisfies the equation α(AP)2+β(BP)2+γ(CP)2=K, is a circunference. Prove it. I need at least some hint to answer it, I tried using the distance between two points formula but I...

I am trying to remember how to define a branch point and cut. Given the following functions: \[ f(z) = \sqrt{\frac{z}{1 - z}} \] The branch points are then \(z = 0\) and \(z = 1\) and the branch cut is the line from \((0, 1)\), correct? \[ f(z) = (z^2 - 4)^{1/3} \] Here the branch points are...

Homework Statement Consider a solid box with dimensions L,W, and H. Let S be the set of all points whose distance is at most 1 from the nearest point inside or on the box. What is the volume of S? Homework Equations Not sure if there are any? The Attempt at a Solution My initial...

Homework Statement Total Weight of System = 3301 kg Length, Width of Sytem = (4670mm, 1931mm) Calculated Center of Mass = (2261mm, 1065mm) Find weight at the following points: Point I (104, 1046) Point II (3182, 1867) Point III (3182, 225) Homework Equations Center of...

I just completed a brief introduction to branch points in complex analysis, and I find it difficult to imagine/come up with functions with nonzero branch points. My difficulty is this: for the point to be considered a branch point, f(r,θ) and f(r,θ+2π) must be different for ANY closed path...

Homework Statement Let a particle of mass m moving in 2d space in a potential V (x, y) = -1/2 kx2 + 1/2 λ0 x2y2 + 1/4λ1x where k,λ0,λ1 > 0.At what point (x0, y0) is the particle in stable equilibrium? 2 marks Homework Equations ∂V/∂x=0 ∂V/∂y=0; ∂2V/∂x2 > 0;∂2V/ ∂y2 > 0 The...

Dear all, I was reading "Nature of space and time" By Penrose and Hawking pg.13, > If $$\rho=\rho_0$$ at $$\nu=\nu_0$$, then the RNP equation > > $$\frac{d\rho}{d\nu} = \rho^2 + \sigma^{ij}\sigma_{ij} + \frac{1}{n} R_{\mu\nu} l^\mu l^\nu$$ implies that the convergence $$\rho$$ will become...

I am not sure if this is the right forum for this question, but I arrived at the question while studying the principle of stationary action so here it is: Consider the problem of finding the shortest path between two non-antipodal points on a sphere. Usually one solves this by using calculus of...

Recently, I learned that, in a probability density function, the probability of the occurrence of any specific x-value is in fact zero, for the relevant interval on the function is a point, which has zero width and therefore has zero area associated with it under the probability curve. This...