Archive for: November, 2015

Symbolic Transforms

This section describes how to perform the Fourier, Laplace, and z-transforms, and their inverses. The examples in this section demonstrate “live” transformations using symbolic keywords, but you may apply the Transforms commands from the Symbolics menu to expressions on a case by case basis if you prefer. Keep in mind that, unlike keyword-modified expressions, expressions modified by commands from…

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Symbolic Matrix Manipulation

This section describes how to find the symbolic transpose, inverse, and determinant of a matrix. The examples in this section demonstrate ”live” symbolic matrix manipulation using the matrix operators, described , “Vectors and Matrices,” and the symbolic equal sign. You may, however, apply the Matrix commands from the Symbolics menu to matrices on a case by case basis if…

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Solving Equations Symbolically

This section discusses how to use either keywords or menu commands from the Symbolics menu to symbolically solve an equation for a variable, find the symbolic roots of an expression, and solve a system of equations symbolically. Most of the examples in this section demonstrate “live” solving using symbolic keywords, but you may apply commands from the Symbolics menu…

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Symbolic calculus

This section describes how to symbolically evaluate definite and indefinite integrals, derivatives, and limits. Derivatives To evaluate a derivative symbolically, you can use Mathcad’s derivative operator and the live symbolic equal sign as shown in Figure 17-14: • Type? to create the derivative operator or type [Ctrl]? to create the higher order derivative operator. • In the placeholders,…

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Strings

Although in most cases the math expressions or variables you work with in Mathcad are real and complex numbers, you can also work with string expressions (also called string literals or string variables), String expressions can include any character you can type at the keyboard, including letters, numbers, punctuation, and spacing, as well as a…

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Complex numbers

As described in the preceding section, Mathcad accepts complex numbers of the form a + bi , where a and b are ordinary numbers. You can use j instead of i if you prefer that notation. Complex numbers can also arise if you enter an expression with a complex result. Even a Mathcad expression that…

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Numbers

This section describes the various types of numbers that Mathcad uses and how to enter them into equations. Types of numbers Mathcad interprets anything beginning with a digit as a number. A digit can be followed by: • other digits • a decimal point • digits after the decimal point • one of the letters…

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Two-point boundary value problems

The functions described so far involve finding the solution to an nth order differential equation when you know the value of the solution and its first n – 1 derivatives at the beginning of the interval of integration. This section discusses what happens if you don’t have all this information about the solution at the beginning of the…

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Predefined variables

Mathcad includes several variables that, unlike ordinary variables, are already defined when you start Mathcad. These variables are called predefined or built-in variables. Predefined variables either have a conventional value, like 1t and e, or are used as system variables to control how Mathcad works, like ORIGIN and TaL.Definition and use Pi. Mathcad uses the…

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Names

Mathcad lets you use almost any expression as a variable or function name. Names in Mathcad can contain any of the following characters: • Uppercase and lowercase letters. • The digits 0 through 9. • The underscore (_). • a prime symbol ( , ). Note that this is not the same as an apostrophe.…

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