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The MATLAB Notebook v1.5.2 mesh(x,y,z): plot a shape of function of two variables on a rectangular grid ... contour(x,y,z,[0,0]): plots an implicit function of one variable: z = F(x ... 2.
The MATLAB Notebook v1.5.2 The linear system can be solved with the use of MATLAB linear algebra solver. ... Lagrange polynomials are defined in the factorization form: Ln,j(x) = ... 3.
Lecture 2-1: Lagrange interpolating polynomials Polynomial interpolation: Discusses limitations of the polynomial interpolation for the data values above; MATLAB codes for Lagrange interpolation ... 4.
Lecture 3-4: Trapezoidal, Simpson's, and Midpoint integration formulas If the function I = I(t) has a singularity at the end of the interval, i.e. either at t = 0 or at t = T or at both, the trapezoidal or Simpson's integration ... 5.
Lecture 3-4: Trapezoidal, Simpson's, and Midpoint integration formulas This is a Newton-Cotes integration algorithm. The most important Newton-Cotes integration formulas are trapezoidal, Simpson's and midpoint rules. ... 6.
Lecture 2-3: Linear and cubic splines When the linear spline is applied to the voltage-current data for a zener diode, the interpolating algorithm produces the following picture: ... 7.
Lecture 3-5: Recursive integration formulas from Romberg integration By canceling the O(h2) truncation error, we define a new integration rule: R2(h) = ( 4R1(h) - R1(2h) ) / 3. The new integration formula R2(h) is in fact the ... 8.
Problem: Develop a statistical test which predicts that the the ... File Format: PDF/Adobe Acrobat - View as HTML Problem: Develop a statistical test which predicts that the the- oretical dependence between x and y, y = ax + b, corresponds to the set of numerical data ... 9.
Interactive Software Demos for Learning Differential Equations ... The software simulator models dynamics of the nonlinear damped pendulum for ... and they are stable nodes for the overdamped pendulum (when k > 2 (gl)1/2). ... 10.
Theorem: Assume that the function f(z) is analytic near a point z ... File Format: PDF/Adobe Acrobat - View as HTML cosz,sinz. 3. Taylor series for singular functions at z = z ... 1. The Laurent series converges absolutely in the annulus R. 1 ... |
