The Gaussian probability density function (pdf) of an object is given via its mean andcovariance. If you had a second object, with the identical pdf (identical moments,same mean (position and location) and second moment (covariance)). Or in otherwords if you have the same object twice in the same location: What would be theprobability of collision?<11>1

To answer this question, let's first break down what it means when we say the Gaussian probability…

Answered: The Gaussian probability density…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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I am trying to compute the probability of collision with the monte carlo method in MATLAB. But I get an error in teh following code. The error is the matrix P_01 must be semi definete and P_02 must be symmetric. How should I fix this problem? % Initial Mean and Covariance mu_01 = [153446.180; 41874155.872; 0; 3066.875; -11.374; 0] / 1000; P_01 = [6494.080 -376.139 0 0.0160 -0.494 0; -376.139 22.560 0 -9.883e-4 0.0286 0; 0 0 1.205 0 0 -6.071e-5; 0.0160 -9.883e-4 0 4.437e-8 -1.212e-6 0; -0.494 0.0286 0 -1.212e-6 3.762e-5 0; 0 0 -6.071e-5 0 0 3.390e-9] * 1e-6; mu_02 = [153446.679; 41874156.372; 5.000; 3066.865; -11.374; -1.358e-6] / 1000; P_02 = [6494.224 -376.156 -4.492e-5 0.0160 -0.494 -5.902e-8; -376.156 22.561 2.550e-6 -9.885e-3 0.0286 3.419e-9; -4.492e-5 2.550e-6 1.205 -1.180e-10 3.419e-9 -6.072e-5; 0.0160 -9.883e-3 -1.180e-10 4.438e-8 -1.212e-6 -1.448e-13; -0.494 0.0286 3.419e-9 -1.212e-6 3.762e-5 4.492e-12; -5.902e-8 3.419e-9 -6.072e-5 -1.448e-13 4.492e-12 3.392e-9] * 1e-6;…
Manufacturing process with two variables x1,x2 described by the empirical model: y=bo +b1 x1 + b2 x2 + b12 x1 x2 + b3 (x1)^2 +b4 (x2)^2 please refere to the image attached
What mathematical relationship exists between the wave speed and the density of the medium, using the POWER trendline equation from the graph? Make your response specific (i.e., describe the full mathematical proportionality between the two variables) Feel free to use the table. Table: Frequency (Hz) Density (kg/m) Tension (N) Speed (cm/s) Wavelength (cm) 0.85 0.1 4.0 632.5 744.12 0.85 0.7 4.0 239.0 281.18 0.85 1.3 4.0 175.4 206.35 0.85 1.9 4.0 145.1 170.70
The governing equation of motion for a base motion system is given by (assume the units are Newton) mä(t)+ci(t)+kx(t) =cY@, cos(@,t) +kY sin(@t) %3D Given that m = 180 kg, c = 30 kg/s, Y = 0.02 m, and о, — 3.5 rad/s %3| 1. Use Excel or Matlab to find the largest value of the stiffness, k that makes the transmissibility ratio less than 0.85 2. Using the value of the stiffness obtained in part (1), determine the transmitted force to the base motion system using Matlab or Excel. 3. Display and discuss your results.
6. A ball is thrown straight up in the air at time t = 0. Its height y(t) is given by y(t) = vot - 791² (1) Calculate: (a) The time at which the ball hits the ground. First, make an estimate using a scaling analysis (the inputs are g and vo and the output is the time of landing. Think about their units and how you might construct the output using the inputs, just by matching units). Solve the problem exactly. Verify that the scaling analysis gives you (almost) the correct answer. (b) The times at which the ball reaches the height v/(4g). Use the quadratic formula. (c) The times at which the ball reaches the height v/(2g). You should find that both solutions are identical. What does this indicate physically? (d) The times at which the ball reaches the height v/g. What is the physical interpretation of your solutions? (e) Does your scaling analysis provide any insight into the answers for questions (a-e)? Discuss. (Hint: Observe how your answers depend on g and vo).
Solve this whole problem and include the interpolation of the same table.
I need help with a MATLAB code. I am trying to figure out how to add perturbation to the following code. I want to add J2 Perturbation, Drag, SRP, and third body effects and use that to replace the forbit function. Does MATLAB have an in built function that can help me here. I heard about the numericalPropagator function of MATLAB. Can that be used here? % Keplerian Elements a = 29599.8; e = 0.0001; i = 0.9774; Omega = 1.3549; w = 0; M = 0.2645; [RECI, VECI] = Kepler2RV(a, e, i, Omega, w, M); X = [RECI;VECI]*1e3; %========================================================================== % Propagation %========================================================================== h = 300; % Step Size (sec) steps = 300; % Number of Steps [X_RK] = RK_4(X,h,steps); % Orbit in ECI (PV) %% Funcitons function [X_RK] = RK_4(X,h,steps) X_init = X; for t=1:steps X=rk4orbit(t,X,h); XX(t)=X(1); YY(t)=X(2); ZZ(t)=X(3); VX(t)=X(4); VY(t)=X(5); VZ(t)=X(6); plot3(XX,YY,ZZ); % Plot…
The mass and stiffness matrix of the system is given by: M = and m2 k, +k, -k, K = -k, k, +k, Take m1 =10 kg, m2-5 kg, k1=k3=100 N/m, k2=84 N/m Use modal analysis and determi ne: a) The normalized stiffness ki b) Its eigenvalues and eigenvectors
What does this graph indicate? We are working on a ventilation system, duct sizer, and this is what we found from a graph in a parametric study. I want to know through a graph whether it is good.I want an explanation of this graph that I came up please very urgent and quicklyy
Please help and explain process to solve
= MMB 241- Tutorial 1.pdf 2/3 80% + + 10. Determine a ats = 1 m v (m/s) 4 s (m) 2 11. Draw the v-t and s-t graphs if v = 0, s=0 when t=0. a (m/s²) 2 t(s) 12. Draw the v-t graph if v = 0 when t=0. Find the equation v = f(t) for each a (m/s²) 2 segment. 2 -2 13. Determine s and a when t = 3 s if s=0 when t = 0. v (m/s) 2 t(s) t(s) 2
Anasayfam Ders Kataloğu ME2005 54954 ME 2005 Dynamics- Midterm Exam 05.12.2020 @18:00 KTÜ Department of Mechanical Engineering Fall 2020 ME 2005 Dynamics Midterm Exam 01 Genel Önceki Etkinlik 7. Lecture 1 (08.10 2020) 2. Lecture 2 (15,10.2020) Lecture 3 (22.10.2020) Soru 10 If the motion of one particle is dependent on that of another particle, each coordinate axis system for the particles 3. Lecture 4 (05.11.2020) Cevap kaydedildi Lütfen birini seçin: 4. 3,00 üzerinden a. should have the same origin. Make-up Lecture- Lectu işaretlenmiş b. None 6 Lecture 6 (12.11.2020) P Soruyu işaretle c. can be directed anywhere, 7. Lecture 7 (19.11.2020) d. should be directed along the path of motion. Lecture 8 (25.11 2020) O e. should be directed perpendicular to the path of motion. 9. Lecture 9 (26.11.2020) 10 Lecture 10 (27.11.2020) Önceki sayfa 11 ME 2005 Dynamics-M Sonraki sayfa O KTU Department of

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