Scaling Definition and 130 Threads

I need to build a table saw miter gauge at about 1/4/-1/8 scale. The center axis of rotation seems pretty straightforward - I have many old rollerblade bearings - but I have no idea how to do the handle assembly (the cylindrical screw arrangement that locks and unlocks the angle) and the sliding...

First I want to mention that I am not super good at maths and that I wasn't even sure if this was the right sub forum to post in (please move this to another one if that's the case). I am working on a 2D game in python where the player plays on an infinite map. Of course that means that the...

I've made mistakes where scaling was used but I just assumed that I didn't need it. e.g. a bug walking towards <1,1,1> is scaled to <1/sqrt(3), etc>. Under what kind of conditions/in what kind of problems should vectors be scaled? I know that v/|v| is the unit vector but how do I relate this to...

Hi everyone, I have the following problem in my hands, which I don't know how exactly to address. Let's assume that from any CAD(Solidworks, Catia), I obtain the inertia tensor of my model (impossible to calculate by hand btw). I_full=[Ixx Ixy Ixz Ixy Iyy Iyz Ixz Iyz Izz] I...

This is a hypothetical question. What would happen if everything in the Universe was scaled up (or down) in size by a constant factor? Starting from the nuclei in atoms, ending with galaxies; assume that all proportions would be kept intact, i.e. all distances are scaled up by the same factor...

Hi, I'm studying about Renormalization group. I have a question about mass beta-function. Usually, when we perform one-loop calculation to get counter-term coefficients, resulting RG coefficient for mass scaling is given by \mu \frac{d m}{d \mu} = a_1 (e ) m and a_1(e) is come from...

I had the concept of scaling up Maxwells' demon experiment to a marco scale. Replacing molecules of gas with light, rigid, balls. Perhaps coated in magnets with varying poles so they never touch (non-interacting). Would suspend them in a thin fluid with neutral buoyancy.

Let's say that we have a guy who is 6 feet tall and weighs 190 lb. If we were to make him 60 feet tall with the same proportions as before, how much would the man weigh? How much would he weigh if we make him 50 feet tall?

So I am still confused about how to applying scaling of parameters to a general optimization problem. Let's say I am trying to do maximum likelihood estimation. I understand how to find the scaling matrix (assuming we restrict it to diagonal form) and that the Hessian should be close to the...

Hi, I'm following the proof of the "Scaling Property of the Fourier Transform" from here: http://www.thefouriertransform.com/transform/properties.php ...but don't understand how they went from the integral to the right hand term here: The definition of the Fourier Trasform they...

I'm working on an assignment that is due in roughly two weeks and I'm stuck on a problem. I have what I believe may be a solution but am unsure whether or not it is 'complete'. Here is the problem: "Let C be a circle or a straight line. Show that the same is true of the locus of points...

Homework Statement Consider the nonlinnear diffusion problem u_t - (u_x)^2 + uu_{xx} = 0, x \in \mathbb{R} , t >0 with the constraint and boundary conditions \int_{\mathbb{R}} u(x,t)=1, u(\pm \inf, t)=0 Investigate the existence of scaling invariant solutions for the equation...

Homework Statement Find the Fourier transform of (1/p)e^{[(-pi*x^2)/p^2]} for any p > 0 Homework Equations The Fourier transform of e^{-pi*x^2} is e^{-pi*u^2}. The scaling property is given to be f(px) ----> (1/p)f(u/p) The Attempt at a Solution Using the information above, I got...

Hello everyone, I have a question that is bothering me a bit. I would be happy if you could give an idea or tell me a specific point to look at. Lets say that we have an arbitrary function that obeys diffusion equation: f = f(η), here η is the scaling parameter for pde which equals to...

Homework Statement Your task is to determine: a.the length and bore of cannon that is required to accommodate an 80 kg Clown with an over-arm measurement of 48 inches b.the amount of fuel that is required to launch the Clown at the same angle as you did with your model...

Homework Statement A mass spring system carries a mass of 0.4kg. When the point of suspension is made to vibrate verticaly at a frequency of 15Hz resonance occurs. What mass should be added to the 0.4kg in order to reduce the resonant frequency to 10Hz. a) 0.20kg b) 0.40kg c) 0.50kg d)...

Homework Statement AQA Section A Q18 Jun 11 Homework Equations The answer should be C E=.5QV and C=Q/V The Attempt at a Solution So the original Q has increased by 1.5 times If C is constant than the voltage must also increase by 1.5 times Now the energy E is E=.5QV V...

The electric potential at a distance r from a positive point charge is 45V. The potential increases to 50 V when the distance from the charge decreases by 1.5 m. What is the value of r? A 1.3m B 1.5m C 7.9m D 15m Homework Statement the answer is D Homework Equations V=(1/4∏ε)...

Homework Statement The time period of a simple pendulum is doubled when the length of the pendulum is increased by 3.0m. What is the original length of the pendulum? Homework Equations T= 2∏√(l/g) also l is original length and l+3 is the new length The Attempt at a Solution So...

Homework Statement I'm confused on whether or not two functions would be equivalent or not. Let's say x(t) is a triangle with height 1, width 1. The hypotenuse of it is the function t (with a slope of 1). I'm told that x((t+2) / 4) then is making it 4 times as wide and left-shifting the...

Homework Statement http://puu.sh/1rcsO I got the first one from a simple scaling, but I can not figure out the second one. Homework Equations Det(cA) = cDet(A) Scaling a row scales the determinant Adding rows/columns to each other does not affect the determinant Det(AT) = Det A...

Hi everyone, I'm new to quantum mechanics, so bear with me o:) Homework Statement I'm not sure if scaling is the right word here, but my problem is about the absolut value of a quantum mechanics state to be one. I have the state | \phi> which is a linear combination of the states |+>...

Let's say I have a precisely designed axial compressor, comprising of stages of rotor and stator wheels, that resembles something like this: Such a compressor, driven by a certain torque at a certain RPM, will deliver a certain air mass per time at a certain pressure. Now, what happens...

Hi all, I have a homework assignment related to the conservation of energy in a fluid. This is given in terms of the density ρ, specific heat c_{p}, thermal conductivity k, bulk viscosity μ, dissipation function \widetilde{\phi}_{v}, velocity function \widetilde{u}, spatial derivative of the...

Hi, I have a relatively small system. It takes 10 minutes to perform a CCSDT calculation. I know scaling is notoriously bad, but does anyone have a rough idea of how long a CCSDTQ calculation would take on the same system? Are we talking days or months? Thomas

Hope this is in the right forum. I apologize in advance for my ignorance and imprecise discussion as I am at a major disadvantage, lacking rich mathematical educational background enjoyed by most here. Background is that I'm curious about calibrating for soft-iron distortion calibration for a...

Hi, Am plotting a graph and need to scale the axes so that i can take my range of 'x'-axis values from -1 to infinity. I shall provide script, but i am using the ParametricPlot command. ParametricPlot[tab2, {up, -1 + 10^-7, 10}, AxesLabel -> {"\[Rho]", "u'"}, PlotRange -> {{-1, 2}...

Hello everyone, I am currently studying the renorm. group in Stat. physics, more precisely how a rescaling (of space) leaves the partition function unchanged, at the price of having an infinite space of parameters due to the interaction proliferation at each rescaling. Let K be our...

Hi all, I have a question about Daubechies Wavelets. I've recently been trying to teach them to myself from the pdf here...

An augmented matrix scaled by a number also means the solutions set is scaled by that same number. I believe this is true due to it basically being the same as elementary row operations preformed on each row. Unless it is a zero scalar in which case you lose all conditions. Is my method of...

I have read at a lot of places that in 2D transformations rotation is a combination of scaling and simultaneous shear? What exactly does this mean & what's the proof for this?

Scaling and Proportion Physics problem. Please Help!? 1. A flea is able to jump straight up about 0.44 m. It has been said that if a flea were as big as a human, it would be able to jump over a 100-story building! When an animal jumps, it converts work done in contracting muscles into...

Homework Statement Not exactly a problem, more an example that has me confused :s \frac{dN}{dt}=\kappa N-(\kappa/a^{2})N This describes a population model where N is the population, \kappa is the net births (ie: births less deaths) and it doesn't tell you what a is (this in all the...

i am making a wind tunnel in order to test aerodynamics of 1/24 scale cars. i am having two problem: 1. i am not sure what wind speed at that scale to represent 100mph. 2. i am using a fan that has an outlet wind speed of 19.4 mph. i tried to increase wind speed by decreasing the outlet...

Homework Statement The problem is from Mathematical Methods in the Physical Sciences, 3rd Ed. Ch10, Sec. 10, Q4. My question is a bit subtle as I have actually figured out the problem, just that I don't understand my solution. The problem reads: 4) What are the physical components...

I have a feeling this question has a very simple answer, yet I cannot find it anywhere online. Let's say that I have a data set that represents and evenly-spaced sample of a function, taken uniformly over the interval (a,b) \qquad a,b \in \mathbb{Z} I perform a discrete Fourier transform to...

Hi, \phi(x) is an interpolating scaling function (also called fundamental function or Dubuc-Deslauriers function) as given on pages 155 to 158 in these lecture notes: http://pages.unibas.ch/comphys/comphys/TEACH/WS07/course.pdf Why does the follwoing yield: \int_{-\infty}^{\infty}\phi(x) dx...

Homework Statement I need to show that if X ~ r(a1,B) Y ~ r(a2,b) where r means gamma distribution then if X and Y are independent i) X+Y ~ r(a1+a2,B) ii) cX ~ r(a1,cB) Homework Equations The Attempt at a Solution i) i use the mgfs of x and y and ended up with mgf(x+y) =...

Hi all According to the textbook Signal and Systems by Oppenheim (2nd edition) pages 685 and 686, if the Laplace transform of x(t) is X(s) with ROC (region of convergence) R, then the Laplace transform of x(at) is (1/|a|)X(s/a) with ROC R/a. Consequently, for a>1, there is a compression...

Homework Statement Prove that \displaystyle \int_{-\infty}^{\infty} \delta (at - t_0) \ dt = \frac{1}{ | a |} \int_{-\infty}^{\infty} \delta (t - \frac{t_0}{a}) \ dt For some constant a. The Attempt at a Solution Edit: Looking at this again, I really don't understand where this is coming...

Hello and thank you for taking the time to read this. I am making a number generator that generates a number based on a pareto distribution. The problem is, the distribution essentially goes from 0 to infinity. How would I go about scaling the values so I get a range between 0 and 1...

Hi, I developed Matlab code to solve the diffusion equation using the central difference equation, with an added term at the end. The equation is the following: dS/dt=Ds*d^2S/dx^2-(Vmax*S/Km+S) In my code, the length of the space domain is very small, 1E-6. I would like to scale...

Im writing a program in python to simulate the propagation of a gaussian beam through a thick lens and to the focussing point using Fourier optics. Due to the strength of the focussing I need a lot of data points so that I have a decent resolution at the focus. To speed things up and to...

The standard definition of coordinates on Penrose diagrams seems to be something like \tan(u\pm v)=x\pm t. This is what Wikipedia gives, and Hawking and Ellis also give a transformation involving a tangent function, although I haven't checked whether the factors of 2, etc. agree. Neither source...

* corresponds to matrix product I'm working on a method of visualising graphs, and that method uses eigenvector computations. For a certain square matrix K (the entries of which are result of C_transpose*C, therefore K is symmetric) I have to compute the eigenvectors. Since C is mXn, where...

This paper http://www.ece.mtu.edu/faculty/wfp/articles/j_comp_appl_math.pdf says (end of item 2.) that it is possible to multiply the arguments to a Kummer M function by constants and later rescale them to get the correct result. But how?

Homework Statement Restate the vertical projectile problem in a properly scaled form. (suppose x<<R). d2x/dt^2=-g(R^2)/(x+R)^2 Initial conditions: x(0)=0, dx(0)/dt=VoFind the approximate solution accurate up to order O(1) and O(e), where r is a small dimensionless parameter. (i.e. the...

Homework Statement Prove that \delta(at)=\frac{1}{abs(a)}\delta(t) Hint: Show that \int\phi(t)\delta(at)dt=\frac{1}{abs(a)}\phi(0) (the limits of integration are from -inf to +inf btw, I couldn't find how to put them in..) Homework Equations The Attempt at a Solution Ok. I...

I'm trying to make a bar graph from data which were taken at irregular intervals over 100m. I want the x-axis to be scaled instead of showing each data point one after another. (i.e. I'm coming out with 1-4-5 when I want 1-----4-5). I hope this makes sense - I'm not sure of the proper...

Using the defining property of the dirac delta function, \int{dx f(x) \delta(x-c)} show that \delta(ax)=\frac{1}{|a|}\delta(x) I think all I need to do is make the right u substitutions and it will come out right, but I can't think of how to make the substitutions...after a long time working...