PYTHON JUPYTER NOTEBOOKS please show code clearly. create a program for lower triangular system L x = b. The algorithm is described in the image for i and j with offset 1. Recall that NumPy and Python have offset 0 for their sequence data types.
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PYTHON JUPYTER NOTEBOOKS
please show code clearly.
create a program for lower triangular system L x = b. The
for i and j with offset 1. Recall that NumPy and Python have offset 0 for their sequence data types.
Step by step
Solved in 4 steps with 2 images
Demonstrate your forward solver is correct (do not compare against another solver) and provide an output example for L, b, and x (use at least 7 unknowns).
Thank You
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- 38. The geometric mean g of n numbers x; is defined as the nth root of the product of x;: g=Vx1x2X3•…Xn (This is useful, for example, in finding the average rate of return for an investment which is something you'd do in engineering economics). If an investment returns 15% the first year, 50% the second, and 30% the third year, the average rate of return would be (1.15*1.50*1.30)") Compute this.[Fish Tank] You play with a clown fish that has an initial size so. The fish can eat other fish in a tank organized in m columns and n rows. The fish at column i and row j has a positive size si,j. When your fish eats another fish, it grows by that amount. For example, if your clown fish has a size of 10 and eats a fish of size 5, it becomes of size 15. You cannot eat a fish that is bigger than your size. The game starts by eating any fish in the first (left-most) column that is not bigger than yours. After that, you advance one column at a time by moving right. You have only three allowed moves. You either stay at the same row, move one row higher or one row lower. You will always move to the right. Thus, you will make exactly m moves to advance from left to right. Your goal is to exit the fish tank from the right with the biggest possible size. The figure below shows an example with the best answer highlighted. In this case, the final fish size is 71 (10+8+7+24+22). You are required…*:To round (B) towards minus infinity the function used is roundn(A) fix(A) floor(A) ceil(A) round(A)
- Heat capacity of a solid: Debye's theory of solids gives the heat capacity of a solid at temperature T to be 3 T rOp/T Cy = 9VpkB (e* – 1)2 dx, - where V is the volume of the solid, p is the number density of atoms, kg is Boltzmann's constant, and 0D is the so-called Debye temperature, a property of solids that depends on their density and speed of sound. Develop a computer code to evaluate Cy (T) for a given value of the temperature, for a sample consisting of 1000 cubic centimeters of solid aluminum, which has a number density of p = 6.022 x 1028m-3 and a Debye temperature of 0p = 428K. The Boltzmann's constant kg = 1.380649 x 10-23 J · K-1. Please evaluate the integral with the following methods: (a) MATLAB adaptive Simpson quadrature, [Q.FCNT] = QUAD(FUN,A,B,TOL) with TOL =le-10.Need expression for "d" I already have expression for "g" Do asap. Please.[Unbalanced Rod] Given a set of n weights {w₁,..., wn} and a rod of length n - 1 inches, we can attach the weights to the rod at hooks placed at one inch distances apart as shown in the figure below. -1". /10 2 3 12 2 4 We can attach a weight to any hook but no two weights can be attached to the same hook and we have to attach all the weights. For any given assignment of weights to hooks, we can compute the location of the center of mass of the rod and the weights according to the following equation (neglecting the weights of the rod and the hooks). where 0 ≤ Pi≤n-1 is the position of weight along the rod. For example, in the figure shown above, the center of mass is computed as C= C = i Wi Pi Σi Wi 10 0+2 1+3·2+4·3+12.4 +2.5 10+2+3+4+12+2 78 33 The problem is to find an assignment of weights to hooks that makes the center of mass as far as possible to the left, i.e., minimize the value of c. Answer the following questions. 1. Describe a greedy algorithm that finds the assignments that…
- The great circle distance is the distance betweentwo points on the surface of a sphere. Let (x1, y1) and (x2, y2) be the geographicallatitude and longitude of two points. The great circle distance between the twopoints can be computed using the following formula:d = radius X arccos(sin (x1) X sin(x2) + cos(x1) X cos(x2) X cos(y1 - y2))Write a program that prompts the user to enter the latitude and longitude of twopoints on the earth in degrees and displays its great circle distance. The averageradius of the earth is 6,371.01 km. Note you need to convert the degrees into radiansusing the Math.toRadians method since the Java trigonometric methods useradians. The latitude and longitude degrees in the formula are for north and west.Use negative to indicate south and east degrees. Here is a sample run: Enter point 1 (latitude and longitude) in degrees: 39.55 −116.25 ↵EnterEnter point 2 (latitude and longitude) in degrees: 41.5 87.37 ↵EnterThe distance between the two points is…Computer Science This is an introductory exercise to the manipulation of random variables with Python as a language for scientific computing and numerical computation. You have: f(x) = Ae-0.1x)° 4 x*, 0(x² If h(x) X 2 , then 2computer science | c++ code | it's not graded. Correct answer will upvoted else downvoted. It is given a non-negative integer x, the decimal portrayal of which contains n digits. You need to shading every its digit in red or dark, so the number shaped by the red digits is separable by A, and the number framed by the dark digits is detachable by B. No less than one digit should be shaded in every one of two tones. Consider, the include of digits hued in red is r and the include of digits hued in dark is b. Among all potential colorings of the given number x, you need to output any to such an extent that the worth of |r−b| is the base conceivable. Note that the number x and the numbers shaped by digits of each tone, may contain driving zeros. Input :The principal line contains one integer t (1≤t≤10) — the number of experiments. Then, at that point, t experiments follow. Each experiment comprises of two lines. The main line contains three integers n, A, B (2≤n≤40, 1≤A,B≤40).…The velocity v and the falling distance d as a function of time of a skydiver that experience the air resistance can be approximated by: and d() = " in cosh :) kg v(t) = mg tanh where k = 0.24 Kg is a constant, m is the skydiver mass, g = 9.81 " is the acceleration due to gravity, and t is the time in seconds since the skydiver starts falling. Write m MATLAB code to determine the velocity v and the falling distance d at t = 8s for a 95kg skydiver. • Note: Velocity v and distance d are each worth 50% of the total points for this problem. Script e C Reset I MATLAB Docume 1 % Define variable(s) here. 3 v = % write the equation for v here, do not change the variable name. 4 d = % write the equation for d here, do not change the variable name.write code for :SEE MORE QUESTIONS