About Keywords

Symbolics > Keywords and Modifiers > About Keywords

About Keywords

When you evaluate an expression using the symbolic evaluation operator, PTC Mathcad simplifies the result by performing arithmetic and combining variables.

To perform more complex symbolic operations, you can insert a keyword that specifies the operation. Keywords appear above the symbolic evaluation operator.

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  <math resultRef="3">
    <symEval xmlns="http://schemas.mathsoft.com/math50">
      <apply>
        <minus />
        <apply>
          <minus />
          <apply>
            <pow />
            <id xml:space="preserve">x</id>
            <real>2</real>
          </apply>
          <apply>
            <scale />
            <real>2</real>
            <id xml:space="preserve">x</id>
          </apply>
        </apply>
        <real>15</real>
      </apply>
      <command>
        <id xml:space="preserve">factor</id>
      </command>
      <symResult>
        <apply>
          <mult />
          <parens>
            <apply>
              <minus />
              <id xml:space="preserve" labels="*">x</id>
              <real>5</real>
            </apply>
          </parens>
          <parens>
            <apply>
              <plus />
              <real>3</real>
              <id xml:space="preserve" labels="*">x</id>
            </apply>
          </parens>
        </apply>
      </symResult>
    </symEval>
  </math>
</region>

Keywords and the operations they perform follow in the next table:

Keyword	Description	Used with Modifier(s)
assume	Makes assumptions about the domain of the variables.	ALL real complex even odd integer RealRange using fully
cauchy	Returns the Cauchy principal value of an integral.
coeffs	Returns the coefficients of a polynomial.	degree fully using
collect	Collects terms containing like powers of a variable.	fully using
combine	Combines terms in an expression using properties of elementary functions.	exp log sincos sincosh atan fully ln sinhcosh using
confrac	Calculates the continued fraction expansion of a number or function.	fraction matrix fully using
expand	Multiplies powers and products from an expression.	fully, using
explicit	Returns expressions with the values of variables substituted in place but without reducing numerical expressions.	ALL fully using
factor	Factors an expression.	domain; real complex fully using
float	Returns results with available numeric values reduced using floating-point calculations to the specified precision.	fully using
fully	Returns a detailed solution to an equation.	None
parfrac	Expands a rational expression into a sum of fractions with linear or quadratic denominators.	complex; domain fully using
rectangular	Returns results involving complex numbers separated into real and imaginary parts.	fully using
rewrite	Rewrites expressions in terms of elementary functions.	acos, acot cos exp gamma ln log raw sincos sinh fully tanh asin atan cosh cot coth fully signum sin sinhcosh tan using
series	Expands a function or expression in a Taylor or Laurent series around 0.	using
simplify	Algebraically simplifies or evaluates an expression.	fully using max
solve	Solves an equation symbolically.	real fully eval; generated using
substitute	Replaces all occurrences of a variable, function, expression, or number with another variable, function, expression, or number.	raw fully using
using	Replaces a generated variable in the solution to an equation.
fourier, laplace, ztrans, invfourier, invlaplace, invztrans	Evaluates the transform or inverse transform of a function.	nfact ofact fully using raw