Archive for: November, 2015

Solving Equations

This chapter describes how to solve equations ranging from a single equation in one unknown to systems of up to fifty equations in fifty unknowns. The techniques described here generate numeric solutions.”Symbolic Calculation,” describes a variety of techniques for solving equations symbolically. The following sections make up Solving one equation How to use Mathcad’s root function to…

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Defining variables and functions

Whenever you type an equation into a worksheet, you are doing one of two things: • You could be typing an expression and asking Mathcad to give you the answer. This is discussed in the next section, “Evaluating expressions.” • You could be typing a variable or function name and assigning some value to it.…

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Regression functions

Mathcad includes a number of functions for performing regression. Typically, these functions generate a curve or surface of a specified type which in some sense minimizes the error between itself and the data you supply. The functions differ primarily in the type of curve or surface they use to fit the data. Unlike the interpolation functions discussed in…

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Highlighting equations

Mathcad allows you to highlight equations so that they stand out from the rest of the equations and text in your worksheet: To apply a background highlight color to an equation: • Click in the equation you want to highlight. • Choose Properties from the Format menu. • Click on the Display tab. • Click…

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Applications of math styles

You may already have encountered the styles used for determining the appearance of Mathcad text regions, as described in Chapter 5, “Text.” By making changes to text styles rather than to individual text regions, you can make sweeping and strikingly uniform changes in the way a worksheet looks. You can get this same kind of…

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Interpolation and prediction functions

Interpolation involves using existing data points to predict values between these data points. Mathcad allows you to either connect the data points with straight lines (linear interpolation) or to connect them with sections of a cubic polynomial (cubic spline interpolation). Unlike the regression functions discussed in the next section, these interpolation functions return a curve which must pass through…

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Math styles

Just as you apply predefined styles and styles you create to modify the appearance of text regions in your worksheet, as described in Chapter 5, “Text,” you apply math styles to assign particular fonts, font sizes, font styles and effects, and colors to the elements of your math regions. Mathcad has two predefined math styles…

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Histogram function

Mathcad includes a function, hist, for computing frequency distributions for histograms: Returns a vector representing the frequencies with which values in A fall in the intervals represented by the int vector. The elements in both int and A must be real. In addition, the elements of int must b~ in ascending order. The resulting vector is one element…

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Formatting results

The way that Mathcad displays numbers (the number of decimal places, whether to use i or j for imaginary numbers, and so on) is called the result format. You can set the result format for a whole worksheet or for a single calculated result. Setting worksheet default format To change the default display of numerical…

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Statistical Functions

This chapter lists and describes many of Mathcad’s built-in statistical functions. These functions perform a wide variety of computational tasks, including statistical analysis, interpolation, regression, and smoothing. The following sections make up this chapter: Population and sample statistics Functions for computing the mean, variance, standard deviation, and correlation of data. Probability distributions Functions for evaluating probability densities, cumulative probability…

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