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Symbolic Differentiation
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Symbolic
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derives number of dimensions ( variables ) of given set of function
( class - inline , symbolic or char ) then finds the roots of a set (
nonlinear equations ) Example: F = inline ( '[ ( x ^ 2 ) + ( x * y ) - 10 ; y + ( 3 * ( x * ( y ^ 2 ) ) ) - 57 ]' ) ;
smartnonlinrgen ( F ,[ 1 ; 1 ] , [ 2 ; 2 ] , 100 )
ans =
2.0000
3.0000



This is a solution of Hermite interpolation problem.

example:

A=[-1 2 -1 inf; 0 1 inf inf;1 -1 -1 8]


x f(x) f'(x) f''(x) . . .

A =
-1 2 -1 Inf
0 1 Inf Inf
1 -1 -1 8




Returns symbolic matrices with subscripts which can be manipulated using the Symbolic Toolbox.

e.g. symbmat('a',2,3)

returns
[ a11, a12, a13]
[ a21, a22, a23]

e.g. symbmat('a',1,2)



symsolvesimulv2.m can be easily adapted to solve more equations but as it stands it will solve 2 unknowns in 2 non-linear equations (can be linear too or a mixture).

Big change: It now has data input integrity checking.

At...



Based on Symbolic Math functions and GUIDE flexibility, this software help to solve easily polynomial functions analysis.User just enter polynomial functions like f(x)/g(x) with f(x) = ax^n + bx^(n-1) + ... C and g(x)= a1x^n + b1x^(n-1) + ... D ;...



Chapter 4 Nonlinear Equations
4.1 Iterative Method toward Fixed Point
4.2 Bisection Method
4.3 False Position OR Regula Falsi Method
4.4 Newton(-Raphson) Method
4.5 Secant Method
4.6 Newton Method for a System of...



This function takes two integer valued arguments and returns 1 if they are equal and 0 otherwise. The computation is done symbolically so the result is not actually returned as a number but as a symbolic expression for substituting symbolic values...



Programs and utility functions using the Symbolic Math Toolbox are provided to analyze vectors and tensors in general curvilinear coordinates. The programs perform the following functions:
1) runcoord plots intersecting coordinate surfaces...



Lagrange is a function that calculate equations of motion (Lagrange's equations)
d/dt(dL/d(dq))- dL/dq=0.
It Uses the Lagrangian that is a function that summarizes the
dynamics of the system. Symbolic Math Toolbox is required.



Maple is a great tool for symbolic manipulation and is also very smart at plotting expressions, handling discontinuities,etc.

However the plot customization and export possibilities are very primitive. Also, often I want to superimpose...



We use the power of symbolic toolbox in order to find the optimal point in an arbitrary multivariate function
Change the following code based on your objective function and run the program

Function F in Symbolic Format



RA=ROUTH(R,EPSILON) returns the symbolic Routh array RA for polynomial. The following special cases are considered:
1) If the first element of a row becomes zero
OR
2) If one encounters a row full of zeros.

>>syms...



Script que soluciona ecuaciones diferenciales y de diferencias.

ECUACIONES DIFERENCIALES EN FORMA SIMBdoOCtLICA y(t)
con x(t) igual a las siguientes entradas; funcidoDln impulso(d(t)-delta de dirac), funcidoDln paso u(t), y...



Demo files from March 10, 2011 webinar titled 'Mathematical Modeling with MATLAB Products'.

The first demo features a drug interaction example where MATLAB's surface fitting capabilities are used to model anesthetic response based on...



These tutorials, created using Matlab's publishing tools, cover the following topics in depth: getting started, the matrix, functions, flow of control, debugging & profiling, strings, cells, structs, plotting, the symbolic toolkit, calling...



This submission is a set of m-files to demonstrate how to take a simple numerical derivative and Hessian of an arbitrary function. Each step in the code is documented. There is a test script included which computes the numerical Hessian of a test...



This small package computes sums and dots product using quadruple precision accumulation or such that allmost full double precision is achieved whatever the condtion number of the computation may be. There are 4 routines qsum, fpsum, qdot &...



A wrap of lsqnonlin to calculate Jacobian using symbolic math toolbox. This is one of applications of symbolic math toolbox for optimization. Due to limitations of the symbolic math toolbox, the objective function must be supported by the symbolic...



This video describes symbolic math functions in MATLAB in the Czech language. It's the tenth part of complete video tutorial about MATLAB and SIMULINK. Symbolic Math Toolbox is needed.
AVI file is compressed by WinZIP, TechSmith Screen...



How do you make a car reach a thousand miles an hour? The BLOODHOUND engineering team are working to solve this problem with their jet-and-rocket powered car aiming to smash the current land speed record. This British team currently hold the...