Parameters Definition and 534 Threads

Dear all, I am momentarily designing a robot arm and I will use the Denavit-Hartenberg convention to model my arm (see picture). The problem I have, however, is that I cannot seem to define the robot arm in the parameters of a, d, alpha and theta. It could be that my coordinates are not...

Hello folks. Normally if you have two variables and you want to know their relationship, you can plot them to get an idea of the equation that might relate them. If you see a straight line you can use the least squares method to find the best equation. You can use this method for polynomials...

For a standard second-order system, its transfer function is G(s) = ω2/(s2 + 2ζω + ω2) where ω is the natural frequency and ζ is the damping ratio. But for a non-standard second-order transfer function, G(s) = (2s + 1)/(s2 + 2s + 5), what are its natural frequency and damping ratio? Thank you!

Homework Statement Using the Schrödinger equation find the parameter \alpha of the Harmonic Oscillator solution \Psi(x)=A x e^{-\alpha x^2} Homework Equations -\frac{\hbar^2}{2m}\,\frac{\partial^2 \Psi(x)}{\partial x^2} + \frac{m \omega^2 x^2}{2}\Psi(x)=E\Psi(x) E=\hbar\omega(n+\frac{1}{2})...

When we have a Lie group, we want to obtain number of real parameters. In case of orthogonal matrices we have equation R^{\text{T}}R=I, that could be written in form \sum_i R_{i,j}R_{i,k}=\delta_{j,k}. For this real algebra ##SO(N)## there is ##n=\frac{N(N-1)}{2}## real parameters. Why this is...

Homework Statement Ok I have the following circuit and data (when the subscript is "ef" it means "rms" values): I am asked to determine the parameters of the transformer r1 L11, L22 and LM with the given experimental data. Homework Equations 3. The Attempt at a Solution [/B] I had no...

Okay, so I have to write a 5-10 page report about temperature's influence on main laser parameters but, first of all, I want to ask: What are the main laser parameters? At which parameters should I be looking at?

I am tackling a technique to determine the parameters of a Moffat Point Spread Function (PSF) defined by: ## \text {PSF} (r, c) = \bigg (1 + \dfrac {r ^ 2 + c ^ 2} {\alpha ^ 2} \bigg) ^ {- \beta} ## with the parameter "(r, c) =" line, column "(not necessarily integers). The observation of a...

If you fit a parametrized model (i.e. y = a log(x + b) + c) to some data points the output is typically the optimized parameters (i.e. a, b, c) and the covariance matrix. The squares of the diagonal elements of this matrix are the standard errors of the optimized parameters. (i.e. sea, seb...

Hello everyone, I am planning to build a device to test Beer's law for a specific solution and obtain the molar concentration of the solution. Beer's law presumes that the input and output light intensities are related by an exponential law. I need to know: The sample path length ##\ell##...

Hi PF! I am trying to solve an ODE by casting it as an operator problem, say ##K[y(x)] = \lambda M[y(x)]##, where ##y## is a trial function, ##x## is the independent variable, ##\lambda## is the eigenvalue, and ##K,M## are linear differential operators. For this particular problem, it's easier...

Hello, I'm lost at where to go after drawing bifurcation diagram of $$\dot{x} = r + x - x^3.$$ If we also assume our parameter is time dependent such that $$\dot{r} = -\delta x.$$ How could we use our initial bifurcation diagram to sketch solutions for small δ?

Homework Statement The question I am working on is the one in the file attached. Homework Equations y = u1y1 + u2y2 : u1'y1 + u2'y2 = 0 u1'y1' + u2'y2' = g(t) The Attempt at a Solution I think I have got part (i) completed, with y1 = e3it and y2 = e-3it. This gives a general solution to the...

greetings. I designed a system on simulink. it is missing a pmsm. I found a block on simpowersystems in simulink nde matlab. I hope that this engine provides a nominal power of 96kw and maximum of 100kw. so how to test it? to verify that this engine can deliver these two powers? cordially. said.

Hey all, I have a question that I am trying to figure out. It is more qualitative than anything, but I am concerned with the concepts that are involved in a scenario like this. Suppose we have a rotating disk with the plane of the disk perpendicular to the z-axis. Now we send a particle upward...

As common I mean inductances and eq resistances. I've been searching for high voltage transformers (to use with a 12-pulse rectifier) but I only see catalogues just trying to sell the thing. Do you have any recommendation as a book or another reference?. Thanks in advance!

Homework Statement Homework EquationsThe Attempt at a Solution So i got the answer by finding the diagonal of the square and then find the radius of A. ([(2x0.17)2 ]x2 )1/2 = 2a + 2x0.17 And find out a= 0.14 nm , however the answer is 0.124nm, please help

Homework Statement Show that cos 2χ = ((Eb^2 - (Ea)^2) / ((Eb)^2 + (Ea)^2) = (-2(EL*ER)) / ((EL)^2 + (ER)^2) and sin 2χ = (2Ea*Eb) / ((Eb)^2 + (Ea)^2) = ((ER)^2 - (EL)^2) / ((EL)^2 + (ER)^2) where EL and ER are the left and right circularly polarized field components of a wave. Homework...

Homework Statement Solve the DE by variation of parameters: y'' - y = cosh(x) Homework EquationsThe Attempt at a Solution I got m = 1 and m = -1 so y = c_1e^x + c_2e^{-x} + y_p y_p = u_1e^x + u_2e^{-x} The wonksian gave me -2 so u_1' = \frac{\begin{vmatrix} 0 & e^{-x} \\ cosh(x)...

I would like to know where it would be possible to download a 3d simulation software tha twould operate according mathematical pharameters

Hi PF! Given operator ##B## defined as $$ B[u(s)] = c u(s) - u''(s) - \frac{1}{2 s_0}\int_{-s_0}^{s_0}(c u(s) - u''(s))\, ds$$ I'm trying to find it's inverse operator ##B^{-1}##. The journal I'm reading states ##B^{-1}## is an integral operator $$B^{-1}(u(s)) =...

I wonder if anyone can please help / point me to some info on how to solve this problem. I posted the same question on another website, and so far there is no conclusive answer. I have some pharmacokinetic data for a molecule that was administered in rat, first IV (intra-venously), then PO...

Hi all, I'm doing a bit of material science research at my university. I'm running molecular dynamics simulation programs like Lammps and Amber as part of it, and I'm pretty new to the whole thing (just like I'm pretty new to this forum). I'd like to ask, has anyone here used Amber to find their...

I'm trying to solve a relatively simple equation with DSolve in Mathematica. The equation I'm trying to solve along with the output from mathematica is shown In[1]:=DSolve[x*y'[x] == -b0*y[x]^2 - b1*y[x]^3, y[x], x] Out[1]:= {{y[x] -> InverseFunction[-((b1 Log[#1])/b0^2) + (b1 Log[b0 + b1...

Homework Statement Determine the y_particular solution Homework Equations The Attempt at a Solution I've tried this for hours but still don't get the correct value. This is what I get: The question is the same as the one I found from...

Homework Statement Attached Homework Equations On page The Attempt at a Solution I'm quite confused as to how to find V1? I'm quite sure it isn't 0. I can't seem to think of a way to find it

The problem is the following : I have some measured data's obtained when measuring a physical process. Let's call these : yE,L where E and L are 2 physical parameters of the experiment (an energy and a length). I also know that : $$\frac{y_{E,L}}{\sum_{k=1} ^{k=100} {\epsilon_{E,L} (k * v) *...

I have installed an antivirus. But one day I realized that somebody was controlling my PC. Then I installed a firewall. There are lots of attempts to my PC which are recoreded in the firewall. I am very confused why these are happening and who they are, how they can do this. Now some important...

I understand the goldilocks zone but would like to know if there are similar limits with respect to supporting life as we know it for a planets gravitational force (min/max) and atmosphere pressure (min/max.) I understand gravity can affect pressure but so can the amount of atmosphere and do not...

I'm trying to reproduce the results of https://arxiv.org/pdf/1205.1613.pdf where the authors determined the best fit values of the parameters (u,B,c3,c4) in the Massive Gravity action (1) Using the values they tallied for the best fit parameters as outlined in table I and equations (9), (10)...

I'm doing a Fisher Forecast to satisfy my experimental physics requirement. I never done anything like this before so I'm kind of in the dark of how to proceed. I have done some readings on Fisher Forecasting and would like to outline how I would do it and then ask if you can tell me if I'm...

Homework Statement Given that a1+a2+a3+... +a7=1 and that all aj is smaller than 1 and greater than 0 and variable , find the maximum value of 6a1+5a2+4a3+...+ a6 Homework Equations no further constraints The Attempt at a Solution I have no idea how to solve this problem specifically, but I...

This is more of a concept question; if I choose different repeating parameters to someone else, say my lecturer, and got different pi groups to him/her, however my groups are still dimensionless (i.e. the units for each pi group cancel to 1), is my answer still correct?

I am reading "Abstract Algebra: Structures and Applications" by Stephen Lovett ... I am currently focused on Chapter 7: Field Extensions ... ... I need help with some remarks of Lovett pertaining to Theorem 7.1.10 ...The statement of Theorem 7.1.10 reads as follows (page 325) :The remarks...

I am reading "Abstract Algebra: Structures and Applications" by Stephen Lovett ... I am currently focused on Chapter 7: Field Extensions ... ... I need help with some remarks of Lovett pertaining to Theorem 7.1.10 ...The statement of Theorem 7.1.10 reads as follows (page 325) :The remarks...

Homework Statement I want to find different parameters of series and parallel RLC for series RLC we have this transfer function and we know that transfer function of second order system is something like this:we can assume H0=1 but is wrong(when you use only denominator you find out that...

$\tiny{242.17.8}$ 2000 $\textrm{Solve the given equation by variation of parameters.}$ \begin{align*}\displaystyle y''-10y'+25y&=2e^{5x}\\ \end{align*} $\textrm{the homogeneous equation:}$ \begin{align*}\displaystyle x^2-10x+25&=0\\ (x-5)^2&=0\\ x&=5\\...

Homework Statement This problem comes from a practice test that I am reviewing before my final. My main confusion comes from the mathematical implication of the integral being an extremum. The first two parameters are y(x=0) = 0 and y(x = π/2) = 1. The third says the integral from 0 to 1 of...

Hello, I appreciate if somebody could help me to resolve this. I bought a geared DC motor from a store. I would like to obtain the following information: Resistance, Inductance, Back EMF constant, torque constant, and the voltage caused by Back EMF when the motor is supplied by a voltage input...

Homework Statement I'm doing research with a Professor and I'm constructing a likelihood function which has parameters the density parameters found in the Friedman equation found using Massive Gravity Action H Homework Equations H(z)^2=a + b (1 + z) + c (1 + z)^2 + d (1 + z)^3 + r (1 + z)^4...

Hello, I am an intern in patent law working on a project outside of my technical expertise. Does amplitude or signal intensity require defining spatial or temporal parameters to measure the amplitude. This is basically concerning a patent where we want to argue that a signal amplitude can be...

Homework Statement "By choosing the lower limit of integration in Eq. (28) in the text as the initial point ##t_0##, show that ##Y(t)## becomes ##Y(t)=\int_{t_0}^t(\frac{y_1(s)y_2(t)-y_t(t)y_2(s)}{y_1(s)y_2'(s)-y_1'(s)y_2(s)})g(s)ds## Show that ##Y(t)## is a solution of the initial value...

Homework Statement Let γ be a regular closed curve in Rn. Show that there is a regular homotopy Γ through closed curves with Γ(−, 0) = γ and Γ(−, 1) an arclength parametrization of γ Homework EquationsThe Attempt at a Solution Hey guys, I just posted another question about homotopy but often...

I am busy with an effort to show how the energy density parameters evolve over time in an update of the LightCone7 calculator. See the posts on the thread Steps on the way to Lightcone cosmological calculator. As part of this effort, I ran into some difficulties with deciding how to find and...

Hello! Could you tell me about how to take the next numerical calculation in mathematica? (perhaps there are special packages). I have an expression (in reality slightly more complex): ## V=x^2 + \int_a^b x \sqrt{x^2-m^2} \left(\text Log \left(e^{-\left(\beta...

Hi guys! I am working on a project and I need to perform a robust linear estimation as described here: https://postimg.org/image/t9b9fybtt/ I have to do this to the equation 43: https://postimg.org/image/x4eniiuzl/ I have assumed that the final function that I have to minimize, basing on both...

I was reading some lecture notes on super-symmetry (http://people.sissa.it/~bertmat/lect2.pdf, second page). It is stated that ". In order for all rotation and boost parameters to be real, one must take all the Ji and Ki to be imaginary". I didn't understand the link between the two. What does...

Hi and thanks to everyone for his/her attention. I have to minimize a function that depends on several parameters. The aim of minimizing that function is to actually guess these parameters, which are unknown. The thing is that the author of the pdf from which I have to make the calculations...

Hey guys, Desai Yield Surface: I have a hard time understanding the parameters of the model for soils. If I have three principle stresses, σ1, σ2, σ3. And R is defined as the Tri-axial strength in tension, how would I define R. Lastly can I just say that I1 = σ1+σ2+σ3 J2= 1/6 * ((σ1-σ2)2...

I came across the following statements about renormalisation in the context of Compton scattering ##(\gamma q \rightarrow \gamma q##) and its QCD corrections: 1) 'The bare and renormalised couplings are equal at ##\mathcal O(\alpha_s^0)##, thus the renormalisation of the strong coupling in a...