Version 2.1 Build 208

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**Declarations** Section, **DivideByZero** Property, **Absolute** Function, **Addit** Function, **ApproxComplex** Function, **Conj** Function, **CubicExpr** Function, **CubicRoot** Function, **CubicRootBenchmark** Sub, **CubicRootSample** Sub, **Div** Function, **FibonacciComplex** Function, **ImagPart** Function, **Inv** Function, **IsComplex** Function, **Max2Complex** Function, **Max3Complex** Function, **Min2Complex** Function, **Min3Complex** Function, **Mult** Function, **Neg** Function, **NthRoot** Function, **Power** Function, **PowerVerify** Sub, **QuadraticExpr** Function, **QuadraticRoot** Function, **QuadraticRootBenchmark** Sub, **QuadraticRootSample** Sub, **RealToComplex** Function, **RealPart** Function, **Sign** Function, **Sqrt** Function, **Square** Function, **Subtract** Function, **ComplexNumbersBenchmark** Sub

**Declarations**Section**Divide By Zero**Property- For differentiating between divide-by-zero and other types of errors when testing the trig. functions. Currently defined as the Null value.
**Absolute**Function- "Absolute Value" Absolute value of a real number. Returns the norm of a complex number. Function always returns either Null or a real number.
**Addit**Function- "Addition" Add two real and/or complex numbers.
**Approx Complex**Function- "Approximate" Return True if two expressions are approximately equal. Compare the real and imaginary parts of complex numbers separately.
**Conj**Function- "Conjugate" Conjugate of a real or complex number.
**Cubic Expr**Function- "Evaluate The Cubic Expression" Evaluates the expression A X^3 + B X^2 + C X + D where A, B, C, D, and X are real and/or complex numbers.
**Cubic Root**Function- "Root Of Cubic Equation" Returns one of the three roots of the cubic equation. Solves the equation A X^3 + B X^2 + C X + D = 0 for X. Real solutions are returned as a numeric value and complex solutions are returned as a complex number string.
**Cubic Root Benchmark**Sub- Run a benchmark of the CubicRoot function.
**Cubic Root Sample**Sub- Print some samples of the CubicRoot function.
**Div**Function- "Divide" or "Division" Divide two real and/or complex numbers.
**Fibonacci Complex**Function- "Nth Fibonacci Number" Returns the Nth Fibonacci number where N can be a floating-point or complex number.
**Imag Part**Function- "Imaginary Part" Return the iamginery part of a complex (or real) number. Function returns 0 (zero) if the argument is a real number.
**Inv**Function- "Inverse" Reciprocal of a real or complex number.
**Is Complex**Function- Determine if the argument vX is a complex (or real) number, according to the way that complex numbers are represented within this library, which is as a string like "R|I" where R is the real part and I is the imaginary part of the number.
**Max 2 Complex**Function- "Maximum Of Two Numbers" Maximum of two real and/or complex numbers. Returns argument on left (vX) if the arguments are equal real numbers.
**Max 3 Complex**Function- "Maximum Of Three Numbers" Maximum of three Real and/or Complex numbers. Returns the leftmost of the maximum arguments if all arguments are real numbers.
**Min 2 Complex**Function- "Minimum Of Two Numbers" Minimum of two Real and/or Complex numbers. Returns argument on left (vX) if arguments are equal real numbers.
**Min 3 Complex**Function- "Minimum Of Three Numbers" Minimum of three Real and/or Complex numbers. Returns the leftmost of the minimum arguments if all arguments are real numbers.
**Mult**Function- "Multiply" or "Multiplication" Multiply two real and/or complex numbers.
**Neg**Function- "Negate" or "Negative" Negate a real or complex number.
**Nth Root**Function- Return the Nth root given real and/or complex numbers.
**Power**Function- "X To The Power Of Y" X and Y can be real and/or complex numbers.
**Power Verify**Sub- Display some results of calling the Power function with some real number arguments to help verify that the function is working properly.
**Quadratic Expr**Function- "Evaluate The Quadratic Expression" Evaluates the expression A X^2 + B X + C where A, B, C, and X are real and/or complex numbers.
**Quadratic Root**Function- "Root Of Quadratic Equation" Returns one of the three roots of the cubic equation. Solves the equation A X^2 + B X + C = 0 for X. Real solutions are returned as a numeric value and complex solutions are returned as a complex number string.
**Quadratic Root Benchmark**Sub- Run a benchmark of the QuadraticRoot function.
**Quadratic Root Sample**Sub- Print some samples of the QuadraticRoot function.
**Real To Complex**Function- "Real Numbers To Complex Number" Construct a complex number string from two real numbers.
**Real Part**Function- "Real Part" Return the real part of a complex (or real) number. Function returns vX unchanged if vX is already a real number.
**Sign**Function- Sign of a real or complex number.
**Sqrt**Function- "Square Root" Square root of a real or complex number.
**Square**Function- Square of a real or complex number.
**Subtract**Function- "Subtraction" or "Minus" Real or Complex subtraction of two numbers.
**Complex Numbers Benchmark**Sub- Run a benchmark of many of the complex number routines.

This Windows-based ActiveX DLL provides many useful routines through its function-bearing and data structure classes. Consult the Help file for more information, or call us at 1-310-472-3736. For the latest news and files, visit our home page on the World Wide Web: http://www.entisoft.com

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