Index of Example Topics

Working with PTC Mathcad Prime > Using Help Examples > Index of Example Topics

Working with PTC Mathcad Prime

• Display of Integer Decimal Results

• Editing an Excel Component

• Predefining the Input and Output Expressions Cell Range

• Display of Non-Integer Decimal Results

• Formatting an Excel Component

Operators

• Boolean Operators

• Interleaving of Local and Global Definitions

• Understanding the Define-Evaluate Operation

• Complex Numbers, Polar Notation

• Numerical Double Integrals

• Using the try-on-error Programming Operator

• Differentiation and Integration of Data Vectors

• Row, Column, and Index Operators

• Using the Element Of Operator

• Effects of TOL and Method on Definite Integration

• Summation and Product Operators

• Using the Limit Operator

• Gradient Operator

Vectors, Matrices, and Tables

• Elementary Row Operations on Matrices

• Seeded Iteration and Difference Equations

• Vector Algebra

• Matrix Algebra

• Special Characteristics of Matrices

• Nested Arrays

• Special Types of Matrices

Solve Blocks

• Adding Units to Solve Blocks

• Solve Block with Multiple Guesses

• Using minerr for Nonlinear Least Squares Fitting

• Optimizing a Function

• Solve Blocks with Inequality Constraints

• Optimization Functions

• Solving Nonlinear Systems of Equations

Plots

XY Plots

• Arc Length and Surface Area

• Column, Normal Probability, and Box Plots

• Pareto and Effects Plots

• Plotting a Function and Its Derivatives

• Plotting Inequalities and Piecewise Functions

Polar Plots and Contour Plots

• Contour Plots or Level Curves

• Contour Plots with Singularities

• Using Polar Plots to Plot Data

• Plotting Large Data Sets Using Polar Plots

General

• Converting Units in Plots

• Plotting Complex Valued Functions or Data

• Using Range Variables in Plots

3D Plots and Waterfall

• Plotting 3D Curves

• Creating Waterfall Plots

• Plotting a Function and a Matrix in 3D

• Plotting a Vector-Valued Function

• Plotting Large Data Sets Using 3D Plots

Programs

• Finding Local Min/Max of Vectors

• Fourier Polynomial

• Looping and Control

• Recursive Functions

• Strict Boolean Comparison

Units

• Using Money Units

Symbolics

• Comparing the Hypergeom, Mhyper, and Fhyper Symbolic Functions

• Example: Dirac Delta (Unit Impulse) and LambertW Functions

• Demonstrating Symbolic Functions

• Displaying Explicit Values

• Explicit Calculation

• Logarithmic Integral Functions

• Factoring and Expanding Expressions

• Fourier Transform Pairs

• Simplifying and Rewriting Expressions

• Symbolic Calculus I

• Symbolic Calculus II

• Symbolic Integral Functions

• Solving ODEs Symbolically

• Symbolic Solutions of Equations

• Symbolic Transforms

• Working with Sine and Cosine Integral Symbolic Functions

• Elliptic Integral Function

Data Analysis Functions

Curve Fitting

• Exponential Regression

• Fitting a Model Function to Data

• Linear Combination of Functions

• Linear Regression

• Logarithmic Regression

• Logistic Regression

• Median-Median Regression

• Nonlinear Regression 1

• Nonlinear Regression 2

• Piecewise Quadratic Fitting

• Power Regression

• Rational Function Regression 1

• Rational Function Regression 2

• Sinusoidal Regression

• Thiele Interpolation and Regression

Interpolation and Prediction

• Cubic Spline Interpolation

• Least-Square Spline

• Linear Interpolation

• Linear Prediction 1

• Linear Prediction 2

• Polynomial Interpolation

• Thiele Interpolation

• Using Units with the Polynomial Interpolation Functions

Principal Component Analysis

• Principal Component Analysis 1

• Principal Component Analysis 2

Outliers and NaN

• Grubbs' Method for Detecting Outliers

• Interquartile Range Method for Detecting Outliers

• NaN Detection and Removal

• Outlier Detection

• Outlier Removal

• Adaptive Smoothing

• Data Smoothing

Smoothing

• Kernel Smoothing

• Median Smoothing

• Smoothing of X-Y Data

• Smoothing Time Series

Design of Experiments Functions

Factor Screening

• 1 Factor ANOVA

• ANOVA and Blocking

• ANOVA for Unreplicated Factorials

• Calculating Effects

• De-aliasing Factors

• Determining Optimal Conditions

• Interactions

Regression Analysis

• Identifying Influential Observations

• Multiple Regression Predictor Retention Analysis

• Quality of Fit

• Residual Analysis

• Second-Order Response Surface

Monte Carlo Simulation

• Monte Carlo Simulation

Finance Functions

• Finance Functions

Graphing Functions

• Converting a Spherical Data Set into Cartesian Coordinates

• Converting Rectangular Coordinates to Polar Coordinates

• Parametric Curves in 2D Plots

• Using CreateSpace and CreateMesh

• Working with Polar Angles

Image Processing Functions

• Understanding the Packed Image Matrices

Image Color Tools

• Grayscale and Color in Images

• HLS and HSV Color Systems

• Television Image Color Standards

• Tools for Packed Matrices

Geometric Transforms

• Flipping Images

• Rotating Images

• Translating Images

• Zooming and Scaling

Morphological Processing

• Grayscale Morphology

• Thinning and Skeletonization

Feature Extraction

• Connected Component Labeling

• Convex Hull

• Euclidean Distance Transform

• Moment Invariants

• Shape Features

Image Manipulation

• Addition and Measurement of Noise

• Binarization and Quantization

• Equalization

• Function and Level Mapping

• One-Dimensional and Two-Dimensional Histograms

• Scaling and Clipping

• Thresholding and Inversion

Transform Domain

• Centering a Transformed Image

• Discrete Cosine Transform

• Filtering in the Fourier Transform Domain

• Wavelet Transform Filtering

Segmentation

• Region Growing

Combinations of Images

• Blending and Masking

• Boolean Operations

• Replacing a Part of an Image

Convolution and Filters

• Median and Quantile Filtering

• Smoothing

• Wiener Filtering

Edge Finders

• Canny Edge Detector

• Convolution and Comparison Edge Finders

• Convolution Edge Finders

• Row and Column Gradients

Functions for Reading and Writing Files

Data

• Read and Write CSV Files

• Reading and Writing Data Files

• Working with PRN Files

Images

• Separating and Combining Red, Green, and Blue from an Image

• Using READRGB and READBMP

• Using HLS and HSV Color Systems File Access Functions

Sound

• Explaining Overlap When Converting Vector to Matrix

• Working with WAV Files and Creating Spectrograms

• Signal Generation

Signal Processing Functions

Signals and Systems

• Elementwise Phase

• Noise Generators

• Quantizing a Signal

• Signals and Classification of Signals

Spectral Analysis

• Cepstrum and Complex Cepstrum

• Chirp z-Transform

• Signal Windowing

• Spectral Analysis

Digital Filtering

• Filter Gain

• FIR Filter Design

• FIR Filters by Remez Exchange

• IIR Filter Design

• Interpolation and Sampling

• Time Response of Digital Filters

• Zero-Phase Filtering

Joint Time-Frequency Analysis

• The Short-Time Fourier Transform

Additional Transforms

• The Hartley Transform

• The Hilbert Transform

Time Series Analysis

• Correlation and Partial Autocorrelation

• Linear Detrending

• Linear Prediction Methods

Solving and Optimization Functions

• Parametrizing Solutions

• Solving a First-Order ODE Initial Value Problem

• Solving a Linear System of Equations

Differential Equation Solvers

• Augmented Jacobian for Stiffb and Stiffr

• PDE in Solve Blocks

• Damped Harmonic Oscillation in Circuits

• Heat Flow on a Square Plate - I

• Heat Flow on a Square Plate - II

• State Space Solver

• The Jacob Function

Root and Linear System Solvers

• Finding the Roots of a Polynomial

• Solving an Equation in a Single Unknown

Solve Block Functions

• Solving a First-Order System of ODEs

Special Functions

Bessel

• Airy Functions

• Bessel Functions

• Bessel Functions of the First Kind

• Bessel Functions of the Second Kind

• Hankel Functions of the First and Second Kind

• Kelvin Functions

• Modified Bessel Functions of the First Kind

• Modified Bessel Functions of the Second Kind

Piecewise Functions

• Piecewise Functions

Other Special Functions

• Error Functions

• Gamma Functions

• Polynomial Functions

• Using the Kronecker Built-in Function

Statistics Functions

Descriptive Statistics

• Location Estimators

• Confidence Interval for the Mean

• Hypothesis Test of a Normal Mean

• Variance and Standard Deviation

• Computing Standard Errors

• Kurtosis and Skewness

• F-Test

• Covariance and Correlation Coefficient

• Correlation and Contingency Tables

Probability Distributions

• Binomial and Negative Binomial Distributions

• Cauchy Distribution

• Chi-Square Test for Goodness of Fit

• Gamma Distribution Functions

• Geometric and Hypergeometric Distribution Functions

• Generating Random Numbers

• Log Normal Distribution Functions

• Monte Carlo Probability Estimation

• Probability Density and Cumulative Probability Distribution

• Probability Distributions

• Seed for Random Number Generation

• T-Score of a Vector of Data

• T-Test on Normal Means

Graphical Statistics

• Histograms

• Quantile-Quantile Plots

Combinatorial Analysis

• Finding Digits and Improving Result Precision

• Combinations and Permutations

Transforms and Filters

• dft and idft of a Matrix

• dft and idft of a Vector

• DFT of Complex Functions

• Filtering an Image

• Filtering in the Frequency Domain

• Filtering Versus Exponential Smoothing

• Forward Transform dft

• Introduction to FFTs

• Local Cosine Transform

• Lowpass Filtering Using dftr

• The Inverse Transformation idft

• Wavelet Transforms

Trigonometric, Log, and Exponential Functions

• Inverse Trigonometric Functions

• Trigonometric Identities

• Hyperbolic and Inverse Hyperbolic Functions

Utility Functions

• Explaining the SIUnitsOf(x) Function

• Finding Minima and Maxima of an Array

• String Variable Manipulation

• Truncation and Roundoff Functions

• Unit Conversion Using SIUnitsOf

• Using Complex Number Functions

Miscellaneous Functions

• Converting Feet-Inches-Fractions to Length

• Converting hhmmss to Time

• Converting Radians to Deg-Min-Sec

• Working with Temperatures

Vector and Matrix Functions

Array Characteristics

• Covariance and Principal Component Analysis

• Downsampling a Vector

• Eigenvectors and Eigenvalues

• Finding the Left and Right Eigenvectors

• Using genvals and genvecs Built-in Functions

• Matrix Norm and Determinant Functions

Combo Box

• Using Combo Box

Creating and Subdividing Arrays

• Creating Logarithmically Spaced Points Vectors

• Inserting and Extracting Subarrays

Matrix Decomposition

• Cholesky Factorization of Complex Matrices

• Cholesky Factorization of Real Matrices

• LU Matrix Factorization

• QR Matrix Factorization

• SVD Matrix Factorization

Other Array Functions

• 2D Correlation and Prototype Matching

• Lookup Functions

• Effect of TOL on Lookup Functions

• Ranking and Ordering Vectors

• Sorting Functions

• Deconvolution and Cross Correlation between Matrices

• Using the Comparison Option with the Lookup Functions

• Effect of ORIGIN on Lookup Functions

• Effect of ORIGIN on non-Lookup Functions