What is Parameters: Definition and 534 Discussions

A parameter (from the Ancient Greek παρά, para: "beside", "subsidiary"; and μέτρον, metron: "measure"), generally, is any characteristic that can help in defining or classifying a particular system (meaning an event, project, object, situation, etc.). That is, a parameter is an element of a system that is useful, or critical, when identifying the system, or when evaluating its performance, status, condition, etc.
Parameter has more specific meanings within various disciplines, including mathematics, computer programming, engineering, statistics, logic, linguistics, electronic musical composition.
In addition to its technical uses, there are also extended uses, especially in non-scientific contexts, where it is used to mean defining characteristics or boundaries, as in the phrases 'test parameters' or 'game play parameters'.

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  1. C

    Challenge defining these DH parameters

    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...
  2. J

    I How to find force parameters if you know the solution?

    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...
  3. W

    Parameters of a non-standard second-order transfer function

    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!
  4. G

    Finding the parameters for Harmonic Oscillator solutions

    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})...
  5. L

    A Why does the Lie group ##SO(N)## have ##n=\frac{N(N-1)}{2}## real parameters?

    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...
  6. G

    Engineering Parameters of transformers: open and short-circuit tests

    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...
  7. DariusP

    Question about main laser parameters

    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?
  8. F

    I Expectation Maximization (EM) : find all parameters

    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...
  9. Jonas Hall

    I Conf.intervals for fitted parameters: divide by sqrt(n)?

    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...
  10. F

    Beer's law experiment - parameters

    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##...
  11. M

    A Variation of parameters, Green's functions, Wronskian

    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...
  12. M

    I Using a bifurcation diagrams and time dependent parameters

    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?
  13. B

    Variation of Parameters to solve a second order ODE

    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...
  14. S

    Simulink bloc of PMSM (permanent magnet synchronous motor) parameters

    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.
  15. J

    Rotating disk and its dynamical parameters

    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...
  16. Z

    Where can I find common parameters of power transformers?

    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!
  17. Clara Chung

    Question about a cubic crystal and its parameters

    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
  18. Samuel Williams

    How Do Stokes Parameters Relate to Polarized Light Components?

    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...
  19. R

    What is the general solution for a DE involving cosh and sinh?

    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)...
  20. J

    3-D simulation software with mathematical parameters

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

    A Green's Function and Variation of Parameters

    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)) =...
  22. L

    I Fitting two models in sequence with parameters in common

    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...
  23. E

    Molecular Dynamics Simulation - How Do You Find Parameters?

    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...
  24. C

    Mathematica DSolve output with unexpected parameters

    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...
  25. terryds

    Solving Systems of Inhomogeneous Linear ODEs: A Step-by-Step Guide

    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...
  26. C

    Two Port (Z Parameters Calculation)

    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
  27. I

    I Finding value of parameters to fit some data

    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) *...
  28. M

    Firewall parameters and PC security

    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...
  29. Suppaman

    B Goldilocks zones of other parameters

    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...
  30. X

    A Help With Constraining Parameters in Massive Gravity Action

    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)...
  31. X

    A How To Do Fisher Forecasting For Constraining Parameters

    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...
  32. moriheru

    Finding the maximum value of a sum involving several parameters

    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...
  33. A

    Fluid Mechanics dimensional analysis repeating parameters

    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?
  34. Math Amateur

    MHB Field Extensions and "Free Parameters" ?

    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...
  35. Math Amateur

    I Field Extensions and "Free Parameters"

    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...
  36. baby_1

    Series and Parallel RLC parameters

    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...
  37. karush

    MHB -242.17.8 Solve y''-10y'+25y&=2e^{5x} by variation of parameters.

    $\tiny{242.17.8}$ 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\\...
  38. D

    Finding a function y(x) given three parameters

    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...
  39. B

    How to obtain the parameters of DC motors?

    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...
  40. Q

    Calculate Comoving distance as a function of parameters

    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...
  41. L

    I Does amplitude require spatial or temporal parameters?

    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...
  42. Eclair_de_XII

    Using variation of parameters to derive a general solution?

    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...
  43. M

    Show Regular Homotopy thru curve and its arclength parameters

    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...
  44. Jorrie

    I Evolution of the Energy Density Parameters

    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...
  45. I

    Mathematica Numerical solution of integral equation with parameters

    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...
  46. B

    I Robust linear estimation to guess parameters

    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...
  47. Heisenberg1993

    A Real parameters and imaginary generators

    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...
  48. B

    I Minimizing by trisecting a function dependent on 3 parameters

    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...
  49. S

    Desai Yield Surface, Parameters

    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...
  50. C

    I Bare/renormalised parameters and predictions

    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...
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