By Cesar Perez Lopez
MATLAB is a high-level language and setting for numerical computation, visualization, and programming. utilizing MATLAB, you could examine facts, improve algorithms, and create types and functions. The language, instruments, and integrated math features assist you discover a number of ways and succeed in an answer swifter than with spreadsheets or conventional programming languages, reminiscent of C/C++ or Java. MATLAB Symbolic Algebra and Calculus instruments introduces you to the MATLAB language with functional hands-on directions and effects, permitting you to fast in attaining your targets. beginning with a glance at symbolic variables and features, you are going to tips on how to remedy equations in MATLAB, either symbolically and numerically, and the way to simplify the consequences. large assurance of polynomial options, inequalities and structures of equations are lined intimately. you can see how MATLAB accommodates vector, matrix and personality variables, and capabilities thereof. MATLAB is a robust symbolic manipulator which permits you to factorize, extend and simplify advanced algebraic expressions over all universal fields (including over finite fields and algebraic box extensions of the rational numbers).
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Extra info for MATLAB Symbolic Algebra and Calculus Tools
Maple('simplify(expression,piecewise)') simplifies algebraic expressions involving piecewise-defined functions. maple('simplify(expr,' &* ')') simplifies algebraic expressions that include the &* operator. , equn])') simplifies the given algebraic expression subject to the specified equations. maple('simplify(expression,inequality _variable)') simplifies the given algebraic expression assuming the specified inequality in some given variable. For example, simplify(expression, a> 0). maple('simplify(expression,variable=type)') simplifies the given algebraic expression assuming that all the variables are of the type specified (for example, assume = real assume = positive, and so on).
Grouping of Similar Terms in Algebraic Expressions MATLAB allows you to group terms within algebraic expressions according to specified variables. This helps to simplify the expression and possibly to optimize performance. Among the commands that enable the grouping of similar terms in algebraic expressions, we have the following: maple('collect(expr,x)') gathers the polynomial algebraic expression in ordinate powers of the variable x. If the variable is not specified, it takes by default the main symbolic variable.
Combine(expression,range) combines terms of expressions that include ranges. combine(expression,polylog) combines terms of expressions that include polylogarithmic functions, using the existing relationships between them. combine(expression,exp) combines expressions that contain base e exponential functions, applying the typical rules for them such as (e ^ x) *(e^y) = e ^ (x + y) , (e ^ x) ^ a = e ^(x*a) and e ^ (x+ln (y)*n) =(e^x) * y^ n. combine(expression,piecewise) combines terms of expressions involving piecewise-defined functions.
MATLAB Symbolic Algebra and Calculus Tools by Cesar Perez Lopez