Index

A note on the digital index

A link in an index entry is displayed as the section title in which that entry appears. Because some sections have multiple index markers, it is not unusual for an entry to have several links to the same section. Clicking on any link will take you directly to the place in the text in which the marker appears.

Symbols

` (backtick), Discussion
! (escape character), 17.0 Introduction
@ (prefix notation), Discussion, Solution, Discussion
=== (SameQ), Set Functions
## (slot sequence), Discussion
# (slots), Discussion
| (vertical bar), Blanks
// (postfix notation), Discussion, Discussion, Solution
/@ operator, The Elements of Functional Programming
@@ operator, The Elements of Functional Programming
@@@ operator, The Elements of Functional Programming, Discussion
$CharacterEncoding, Characters and Character Encodings
$CharacterEncodings, Characters and Character Encodings
$MachinePrecision, Discussion
$MaxPrecision, Discussion
$MinPrecision, Discussion
$SystemCharacterEncoding, Characters and Character Encodings

A

AbsoluteThickness, Discussion

AccountingForm, Discussion

Accuracy, Discussion

accuracy of numeric results, Numerical Expressions, Mixing exact values and approximate values

Ackermann function, Discussion, 19.0 Introduction, Solution, See Also

as debugging illustration, 19.0 Introduction
debugging recursive functions, Solution
extracting debugging information, See Also
and recursion limits, Discussion

adaptive grid method, Solution

Advanced Engineering Mathematics (Kreyszig), Solution, Discussion

algebra problems, Algebra, 10.0 Introduction, Discussion, Discussion, Discussion, Solution, Discussion

decomposing polynomials, Solution
dividing polynomials by other polynomials, Discussion
finding polynomials from given roots, Discussion
generating polynomials, Discussion
solving equations, 10.0 Introduction
transforming expressions, Discussion

algorithms, See Also, Discussion, See Also

(see also )
rule-driven, See Also
running in parallel, See Also

All, Discussion

alpha, Discussion

alternate tunings, Discussion

Alternatives, Blanks

American option pricing, Problem

americanPutCompiled, Problem

amplitude modulation, Problem

anagram demonstration, Discussion

analysis of variance (ANOVA), Problem

Animate, 15.0 Introduction, Problem, Discussion

creating self-running demonstrations, Problem
as key function for interactivity, 15.0 Introduction
relationship with Manipulate, Discussion

AnimationRate, Discussion

AnimationRepetitions, Discussion

AnimationRunning, Discussion

animations, Problem

Animator, Discussion

annotation, Discussion, Problem, Problem, Discussion, Problem, See Also

arrows, Discussion
graph labels, Discussion
interactive, See Also
legends, Problem
of 2D graphics, Problem
of 3D plots with 2D contours, Problem

annuity, Discussion

anonymous functions, See Also

ANOVA (analysis of variance), Problem

ANOVA` package, Problem

Antidiagonal, Solution

Apart, Solution

Append, List Functions

AppendTo, Solution

Apply, The Elements of Functional Programming, Solution, Discussion, Discussion

level specifications, Discussion
mapping multi-argument functions, Solution
operator notation, The Elements of Functional Programming
XML data, Discussion

apply (term usage), The Elements of Functional Programming

approximate numeric results, Numerical Types, Solution

approximate numeric values, Discussion, Solution

converting to exact, Solution
with mixed numerical types, Discussion

arguments, holding, Problem

Array, Discussion, List Functions

constructing lists, List Functions
generating kernels, Discussion

ArrayPlot, A Spectrograph

arrays, Problem, Discussion

packed and unpacked, Problem
sparse, Discussion

Arrow, See Also

Arrowheads, Discussion

arrows, See Also, Discussion

customizing, Discussion
in 2D graphics, See Also

ASCII codes, use of, String and Text Processing

AspectRatio, Discussion, Discussion, Problem

overriding, Problem
with Plot, Discussion
with PolarPlot, Discussion

associative functions, Flat

associative lookup, Discussion, Problem

built-in, Problem
red-black tree implementation, Discussion

attributes, DownValues and UpValues

Attributes, DownValues and UpValues

audio and music processing, Audio and Music Processing, Problem, Problem, Solution, Solution, Solution, Problem, Problem, Solution, Solution, Discussion, Discussion, Discussion, Solution, Problem, Problem, Solution, Solution, Discussion, Problem, Discussion

alternate tunings, Discussion
applying an envelope to a signal, Solution
chord notation, Problem
chords and progressions, Solution, Problem, Discussion
exporting MIDI files, Discussion
Fourier analysis, Discussion
importing digital sound files, Problem
musical notes, Problem
percussion, Discussion
playing functions as sound, Solution
rhythm, Solution, Solution
scales and melodies, Problem
tremolo, Problem, Solution
vibrato, Problem
volume, Solution, Solution

Axes, Discussion, Problem

overriding, Problem
suppressing plot axes, Discussion

AxesEdge, Discussion

AxesLabel, Discussion

axialForce, Discussion

axialStrain, Discussion

axialStress, Discussion

B

backtracking parsers, Discussion

Backus-Naur Form (BNF), Discussion, Solution

balance, Discussion

Band, Solution, Solution, Solution

synthesizing sparse functions, Solution
synthesizing tridiagonal matrices, Solution, Solution

BarChar, Discussion

BaseForm, Problem

bases other than 10, Problem

BeginTestSection, Discussion

binary trees, List Functions, List Functions, See Also

converting lists to, List Functions
modeling, See Also
selective flattening, List Functions

BinarySearch, Discussion

BinCounts, Problem, Discussion

distributions of pseudorandom numbers, Discussion
grayscale histograms, Problem

bit vectors, Problem

Black-Scholes formula, Discussion, Problem, Discussion

finite difference method for, Discussion
pricing European puts and calls, Discussion
speeding up NDSolve, Problem

Blank pattern constructs, 4.0 Introduction, Repeats

Block, See Also, Discussion

BNF (Backus-Naur Form), Discussion, Solution

bonds, 14.0 Introduction, See Also

bookmarks, Discussion

Boslaugh, Sarah, Statistics and Data Analysis (see )

BoundaryStyle, Discussion

box plots, Discussion

Boxed, Discussion

BoxQuantile, Discussion

BoxRatios, Discussion

BoxStyle, Discussion

BoxWhiskersPlot, Discussion

breakpoints, Discussion

buttons, Discussion

C

C and C++ functions, calling, Discussion

CAD, importing from, See Also

calculus problems, 11.0 Introduction, Discussion, Discussion, Problem, Discussion, Discussion, Discussion, Problem, See Also, Discussion, Discussion, Problem, Problem

difference equations, Discussion, Problem
differential equations, Discussion, Problem
differentiating functions, Problem
generating functions for sequence recognition, Discussion
integration, Discussion
limits, 11.0 Introduction
minima and maxima problems, Discussion
piecewise functions, Discussion
power series representations, Discussion
sum and product problems, See Also
vector calculus problems, Problem

call options, 14.0 Introduction, Solution

Carlson, Chris, Discussion

Cartesian coordinates, Problem, The Symbolic Nature of Graphics

2D plots in, Problem
3D plots in, The Symbolic Nature of Graphics

Cases, List Functions, Discussion, Problem, Discussion, Solution, Solution, Discussion, Discussion, Discussion, Discussion, Discussion, Discussion, Discussion, Discussion

compared to DeleteCases, Discussion
extracting lines from 3D objects, Discussion
extracting XML elements, Discussion
filtering out MissingData entries, Discussion
generating polynomials, Discussion
in coupled mass problems, Discussion
level specifications, Discussion
pattern matching, Problem, Discussion
querying databases, Solution
taking lists apart, List Functions
transforming notebooks, Discussion
transforming XML, Discussion
with Count, Solution

cash flow value, See Also

Catch, Discussion

categorical data, Discussion

CDF (cumulative density function), See Also

Ceiling, Discussion

CellMeans, Discussion

center of mass, computing, Problem

centerMass, Problem

central limit theorem (CLT), Discussion

CentralMoment, Discussion

Cervantes-Pimentel, Ulises, Discussion

character encodings, String and Text Processing

character manipulation, Problem, Replacing with expression evaluation

CharacteristicFunction, Discussion

ChemicalData source, Discussion

chi-square tests, Discussion

ChiSquarePValue, Discussion

choose, Discussion

Chop, Solution

chords, Solution, Problem, Problem, Discussion

controlling voicings, Discussion
creating, Solution
notation, Problem
playing progressions, Problem

Circle, See Also

cleaning up, Problem, Discussion

automatically, Discussion
during incremental development, Problem

Clear, Problem

ClearAttributes, DownValues and UpValues

Clip, Discussion

clone method, Discussion

closures, See Also, See Also, Solution

implementing, See Also
in functional languages, See Also
transitive, Solution

CLT (central limit theorem), Discussion

clustering solutions, third-party, 16.0 Introduction

clusters, See Also, See Also

grouping data into, See Also
and random number generation, See Also

CMYK color space, Solution

"CoarsestGrained", Problem

Coefficient, Solution

CoefficientList, Solution

Collect, Discussion

colon syntax, Problem

color directives, Discussion

color models, See Also

ColorFunction, 8.0 Introduction, Discussion, Discussion

highlighting distribution plots, Discussion
imported image format, 8.0 Introduction, Discussion

Column, See Also

Combinatorica` package, Discussion, Discussion, See Also

constructing graphs to use with, Discussion
extracting information from graphs, See Also
sorting lists, Discussion

command history, clearing, Discussion

command line programs, external, 17.0 Introduction

comments, stripping, Using positions

CommonCompoundNames, Discussion

Commonest, Discussion

commutative functions, DownValues and UpValues

Compile, Problem, See Also

improving function performance, See Also
pricing American securities options, Problem

compiling (computational finance), 14.0 Introduction

Complement, Set Functions, Discussion

complex numbers, Numerics, Problem

converting to other bases, Problem
as expression heads, Numerics

Composition, Discussion

computational finance, overview of, Financial Engineering

Condition, Solution

conditions, pattern, Except

ConsonantDistance, Spell-checker

ConstantArray, List Functions

constants, modifying, Discussion

continuations, See Also

"Continued Fraction" (Weisstein), Discussion

continuously compounding interest, Discussion

ContourPlot3D, Discussion

contrast, image, Problem

Control, See Also

ControlActive, Discussion

controls, Discussion, Discussion, Discussion, Discussion, Discussion, Problem, See Also, See Also

creating custom, See Also
and dynamic updates, Discussion
and graphics manipulation speed, Discussion
intercepting output of, Problem
managing large numbers of, See Also
Manipulate’s choice of, Discussion
multiple, for single variables, Discussion
types of, Discussion

convergence, Discussion, Discussion

graphing iterations, Discussion
of sums or products, Discussion

Core stylesheet, Discussion

Correlation, Discussion

correlation, computing, See Also

CosineDistance, Discussion

Count, Discussion

coupled mass problems, Problem

Covariance, Discussion

covariance, computing, See Also

critical sections, Solution, Discussion, Discussion

critical values, Discussion

CriticalSection, Solution, Discussion

diagnosing parallel processing performance, Discussion
sharing resources in parallel evaluation, Solution

Cross, Problem

CrossProduct, Vector Functions, Solution

and VectorAnalysis` package, Vector Functions
solving vector calculus problems, Solution

crossRef, Discussion

crossword puzzles, cheating on, Discussion

cumulative density function (CDF), See Also

curl, of vector fields, Vector Functions, Discussion

Curry, Solution

currying, See Also, Discussion

cylindrical coordinates, Discussion

D

D, Discussion, Discussion

DAGs (directed acyclic graphs), Discussion

DamerauLevenshteinDistance, Discussion

Dandelin demonstration, Discussion

data, Problem, Discussion, Discussion, Problem, Discussion, Discussion, Problem, Discussion, See Also, Problem, Discussion, Discussion

adjusting for outliers, Discussion
categorical, Discussion
generating multiple data sets in parallel, Discussion
grouping into clusters, See Also
linear models, Discussion
measuring shape of, Problem
nonlinear models, Problem
partitioning into parallel data sets, Problem
plotting in 2D, Problem
plotting in 3D, Discussion
sharing between parallel kernels, Discussion

data sources, curated, Problem, Discussion, 13.0 Introduction, Problem, Discussion, Problem, Discussion, Discussion, Discussion, 14.0 Introduction, See Also

ChemicalData, Discussion
dictionaries, Problem
ElementData, Problem
FinancialData, 14.0 Introduction, See Also
GenomeData, Discussion, Discussion
ParticleData, Problem
PolyhedronData, Discussion
ProteinData, Discussion
value of, 13.0 Introduction

Data specification, Problem

databases, Discussion, Discussion, Discussion, 17.0 Introduction, Discussion, Problem, Problem

(see also )
querying with patterns, Discussion, Discussion
storing results in, Problem
third-party, 17.0 Introduction, Discussion, Problem

DataRange, Discussion

DataSourceNames, Problem

Date, C.J., Discussion

debugger, built-in, 19.0 Introduction

debuggers, creating interactive, See Also

debugging, Discussion, Discussion, Problem, Debugging and Testing, Problem, Problem, Discussion, See Also, See Also, See Also

extracting useful information, See Also
function libraries, See Also
functions invoked many times, Problem
incremental development problems, Problem
infinite loops, Discussion
recursive functions, Discussion
visual, See Also
with Print, Problem
XML transformations, Discussion

DecayModes, Discussion

DeclarePackage, Discussion

Default, See Also

Default stylesheet, Discussion

default values, See Also, Discussion

compared to options, Discussion
creating functions with, See Also

definitions, custom, DownValues and UpValues, Discussion

Delete, Discussion, Discussion

level specifications, Discussion
pattern matching, Discussion

DeleteCases, Discussion, Discussion, Discussion

excluding matching elements, Discussion
extracting digits of a number, Discussion
level specifications, Discussion

delimiters, changing, Using positions

delta (computational finance), 14.0 Introduction, Solution, Solution, Discussion, Discussion

computing, Solution, Discussion
defined, 14.0 Introduction, Solution
plotting, Discussion

Depth, Solution

Derivative, Discussion

derivatives, computing, Problem

derivatives, notation for, Problem, Discussion

Developer` context, Discussion

Developer` package, Discussion, Solution

Diagonal, Discussion

DiagonalMatrix, List Functions, Solution, Solution, Solution

compared to Table, List Functions
constructing shift matrices, Solution
specifying matrix structure, Solution
synthesizing sparse equivalent of, Solution

diagram, Solution, Discussion

dictClear, Discussion

dictHasKeyQ, Discussion

dictionaries, Problem, Solution, Problem

associative lookup, Solution
key-value, Problem
natural language, Problem

Dictionary, Solution, Discussion

dictKeys, Discussion

dictKeyValuePairs, Discussion

dictLookup, Discussion

dictRemove, Discussion

dictReplace, Discussion

dictStore, Solution

difference equations, Discussion, Problem

modeling predator-prey dynamics, Problem
solving, Discussion

differential equations, Discussion, Problem

modeling electrical circuits, Problem
solving, Discussion

Digital Image Processing (Gonzalez and Woods), Image Processing in Mathematica 7, See Also, Discussion

DigitBlock, Solution

digits, extracting, See Also

directed acyclic graphs (DAGs), Discussion

directives, Two-Dimensional Graphics and Plots (see )

discount factors, See Also

Disk, See Also

Dispatch, Discussion

displacements, Solution

Display, Solution

display forms, Numerical Expressions, Discussion, Problem

bit vectors, Problem
numerical expressions, Numerical Expressions, Discussion

DisplayAllSteps, Discussion

distance functions, Discussion, Discussion

DistributeDefinitions, Problem, Discussion

with map-reduce, Discussion
with Parallelize, Problem

distribution of processing, Parallel Mathematica (see )

distributions, statistical, Discussion, See Also, Discussion, Problem

central limit theorem, Discussion
cumulative and probability density functions, See Also
measuring shape of data, Problem
nonuniform, Discussion

divergence (vector calculus), Discussion

Do, See Also, Discussion

non-functionality of, See Also
with ParallelEvaluate, Discussion

Dot, Matrix and Tensor Functions, Discussion, Solution, Problem, Solution, Solution

compared to DotProduct, Solution
generating polynomials, Solution
with graphics matrices, Discussion
solving vector calculus problems, Problem, Solution
vector multiplication, Matrix and Tensor Functions

DotProduct, Solution

downvalues, The Elements of Functional Programming, Discussion

inspecting with DownValues, The Elements of Functional Programming
synchronizing, Discussion

DownValues, The Elements of Functional Programming, Discussion

associative lookup, Discussion
inspecting downvalues with, The Elements of Functional Programming

Drakos, Nikos, Problem, See Also

Drop, Discussion, List Functions

for composed invertible functions, Discussion
taking lists apart, List Functions

drop-down lists, Discussion

DSolve, Solution, Discussion, Problem, Discussion, Discussion, Discussion

compared to RSolve, Discussion
limitations, Discussion
modeling vibrating strings, Problem, Discussion
solving differential equations, Solution
with triangular waves, Discussion

duration of bonds, See Also

Dynamic, Discussion, Discussion, Problem, Discussion, Problem, Solution, Solution, Solution

behavior of, Discussion
creating closures, Discussion
effect of Refresh on, Solution
in dynamic updates, Problem
intercepting control output, Problem
refresh rate, Solution
segregating fast and slow operations, Solution
speeding up interactive plots, Discussion

dynamic interactivity, overview of, Interactivity

dynamic module variables, Discussion

dynamic updates, Problem, Problem

with changing cell values, Problem
intercepting control values, Problem

dynamic values, See Also

DynamicModule, Problem, Discussion, Problem, Discussion, Problem, Discussion, Discussion

as a scoping construct, Problem
balancing speed and space, Problem
creating wormholes, Discussion
notebook representation of, Discussion
scope of variables, Discussion
with Manipulate, Discussion, Problem

DynamicWrapper, Problem, Solution

balancing speed and space, Problem
segregating fast and slow operations, Solution

E

Eclipse, Discussion

edgeDetectLOG, Solution

edgeDetectSobel, Solution

edges, detecting, Problem

EditDistance, Spell-checker, Discussion

creating spell-checkers, Spell-checker
grouping data into clusters, Discussion

Eigenfaces for Recognition (Turk and Pentland), Solution, Discussion

eigenImageElements, Discussion

eigenImageRecognition, Discussion

eigenImages, Discussion

eigenvectors (eigenimages), Problem

electrical circuits, modeling, Problem

ElementData, Problem

engineering applications, overview of, Science and Engineering

EngineeringForm, Discussion

envelopes, applying to signals, Solution

EquivalenceFunction, Discussion

errors, estimating, Discussion

EuclidianDistance, Discussion, Discussion

EulerianQ, Solution

European option pricing, 14.0 Introduction, Discussion, Discussion

Evaluate, See Also

evaluation after transformation, Problem

evaluation monitors, debugging with, See Also

EvaluationMonitor, Discussion

event propagation, controlling, Discussion

EventHandler, See Also, Discussion

exact numeric values, Numerical Types, Solution, Discussion, Discussion

in expressions with mixed numerical types, Discussion, Discussion
results as, Numerical Types, Solution

ExampleData, Discussion

Except, Except, Problem, Discussion

finding nonmatching values, Except, Problem
limitations of, Discussion

executable programs, calling, 17.0 Introduction

Expand, Solution, Discussion

generating polynomials, Discussion
transforming polynomials, Solution

ExpandAll, Solution

Experimental` context, Discussion

explicit methods, stability problems in, Discussion

expression evaluation, replacement and, Replacing with expression evaluation

Extract, Discussion, Discussion

level specifications, Discussion
pattern matching, Discussion

F

FaceGrids, Discussion

FaceGridsStyle, Discussion

Factor, Solution

FactorTerms, Solution, Discussion

FDM (finite difference method), Discussion

FEM (finite element method), Discussion

fileDisposition, Discussion

Filling, Discussion, Discussion, Discussion

with ColorFunction, Discussion
with Plot, Discussion
with PolarPlot, Discussion

FillingStyle, Discussion

FilterOptions, Discussion

FilterRules, Discussion

financial data, importing from websites, Discussion

financial derivatives, Problem

financial engineering, overview of, Financial Engineering

FinancialData source, 14.0 Introduction, See Also

FindClusters, See Also

FindFit, Problem

FindGeneratingFunction, Solution

FindMaximum, Discussion

FindRoot, Problem, Discussion, Discussion, Problem, See Also

computing critical values, Discussion
computing securities option volatility, Problem
debugging built-in functions, See Also
evaluation monitoring, Problem
solving algebraic equations, Discussion

FindSequenceFunction, Solution

"FinestGrained", Problem

finite difference method (FDM), Discussion

finite element method (FEM), Discussion

First, List Functions

first-class entities, Functional Programming

Fit, Solution

fitness functions, in Java libraries, Discussion

FixedPointList, Discussion

Flat, Flat, Discussion

Flatten, Discussion, List Functions, Solution

collapsing unneeded nesting, Discussion
restructuring lists, List Functions
with SoundNote, Solution

FlipView, Discussion

Floor, Discussion

flux, Solution

Fold, The Elements of Functional Programming, Problem, Discussion

as code generator, Discussion
as recursion alternative, Problem

foldl (Haskell), Discussion

FoldList, The Elements of Functional Programming, Discussion

foldr (Haskell), Discussion

ForAll, Discussion

Format, Solution

forms, for numerical expressions, Numerical Expressions, Discussion

Fourier analysis, on sound files, Discussion

Fourier series, Discussion, Discussion

modeling electrical circuits, Discussion
modeling vibrating strings, Discussion

Fourier transforms, in image processing, See Also

fourierFilter, Solution

fourierImage, Discussion

fractals, generating, See Also

Frame, Discussion

FrameLabel, Discussion

FrameStyle, Discussion

FRatio, Solution

frequency modulation (vibrato), Problem

FromCharacterCode, Characters and Character Encodings

FromDigits, Discussion

frontend, Discussion, See Also, Discussion, Problem, Problem

calling into, See Also
connecting to remote kernel, Discussion
customizing user interaction, Problem
integrating MUnit` into, Problem
startup operations, Discussion

FrontEndExecute, See Also

FullDecayModes, Discussion

FullForm, Discussion, Discussion, See Also

debugging infinite loops, Discussion
pattern matching, Discussion, See Also

FullGraphics, 6.0 Introduction

FullSimplify, Solution, Solution, Discussion

measuring securities option sensitivity, Discussion
solving differential equations, Solution
transforming symbolic expressions, Solution

function attributes, DownValues and UpValues

functional notation, Discussion, Problem, Discussion

for derivatives, Problem, Discussion
for numerical expressions, Discussion

functional programming languages, See Also

functional programming style, Functional Programming, Patterns and Rule-Based Programming, Discussion, Problem

compared to pattern-based programming, Patterns and Rule-Based Programming
debugging with Print, Problem
and parallel evaluations, Discussion

functions, DownValues and UpValues, DownValues and UpValues, DownValues and UpValues, Flat, Discussion, See Also, Discussion, Set Functions, See Also, Discussion, Discussion, Image Processing in Mathematica 7, Solution, Discussion, Discussion, Problem, Problem, Discussion, Discussion, Discussion, Discussion, Interactivity, Problem, Discussion, Discussion, Discussion, See Also, Problem, Discussion, See Also

(see also , )
associative, Flat
commutative, DownValues and UpValues
compiling, See Also
custom definitions, DownValues and UpValues, Discussion
debugging, Problem, See Also
differentiating, Problem
distance, Discussion, Discussion
finding series expansions, Discussion
for image processing, Image Processing in Mathematica 7
indexed, Discussion
for interactivity, Interactivity
interpolation, Discussion
localizing within a Manipulate, Problem
locating undocumented, Discussion
modifying built-in, Discussion
packaging into libraries, Discussion
piecewise, Discussion, Problem
playing as sound, Solution
recursive, See Also, Discussion
redefining with upvalues, DownValues and UpValues
region, Discussion
repeated application of, See Also
for sequence recognition, Discussion
vector, Set Functions

functions, building, The Elements of Functional Programming, Problem, See Also, Discussion, Discussion, See Also, Discussion, Discussion

accepting options, Discussion
default values, See Also
downvalues and upvalues, The Elements of Functional Programming
for explicit currying, Discussion
holding arguments, Problem
invertible, Discussion
sequence recognition, Discussion
through iteration, See Also

functions, mapping over lists, See Also, Problem, Problem, See Also, Discussion

automatically, Problem
moving sublists, Discussion
multiple arguments, See Also
multiple functions, Problem
tracking item indexes, See Also

functions, plotting, Problem, Discussion, The Symbolic Nature of Graphics, Problem

in Cartesian coordinates, Problem, The Symbolic Nature of Graphics
in polar coordinates, Discussion
in spherical coordinates, Problem

G

gamma (computational finance), 14.0 Introduction, Solution

GAs (genetic algorithms), Discussion, Discussion

Gather, Discussion

GatherBy, Discussion, Discussion

transforming notebooks, Discussion
with map-reduce technique, Discussion

GCD (greatest common divisor), Discussion

GenerateConditions, Discussion

GeneratingFunction, Solution

generic programming, Discussion

genetic algorithms (GAs), Discussion, Discussion

GenomeData source, Discussion

geometric shapes, displaying, See Also, Problem

global matrices, Solution

global variables, changing temporarily, Discussion

Global` context, Discussion

Glow, Problem, Discussion

Gonzalez, Rafael, Image Processing in Mathematica 7, See Also, Discussion

gradient (vector calculus), Discussion

grammars, creating, Discussion

graph algorithms, See Also

GraphData, Discussion, Discussion

constructing graphs, Discussion
querying databases, Discussion

GraphDifference, Discussion

Graphics, 8.0 Introduction

graphics directives, Two-Dimensional Graphics and Plots, Discussion, Discussion, Discussion

color, Discussion
combining with graphics primitives, Discussion
lighting, Discussion

"Graphics" element, extracting, Solution

graphics primitives, Two-Dimensional Graphics and Plots, See Also, Discussion, Solution, 8.0 Introduction, Discussion, Solution, Solution

combining with graphics directives, Discussion
imported image representation, 8.0 Introduction, Discussion
three-dimensional, Solution, Solution
two-dimensional, Two-Dimensional Graphics and Plots, See Also
visualizing tree-based pricing approaches, Solution

graphics, symbolic nature of, The Symbolic Nature of Graphics

graphics, three-dimensional, Three-Dimensional Graphics and Plots, Discussion, Problem, Discussion, Discussion, Problem, Problem, Problem, Discussion, See Also, See Also

(see also )
compared to 2D graphics, Three-Dimensional Graphics and Plots
formats supported, See Also
geometric shapes, Problem
importing, See Also
lighting properties, Problem
polyhedra, Discussion
surface properties, Problem
transforming, Problem
viewing perspective, Discussion
wireframe models, Discussion

graphics, two-dimensional, Two-Dimensional Graphics and Plots, Discussion, Discussion, See Also, Problem, Discussion, 8.0 Introduction, Discussion

(see also )
annotating, Discussion, Problem
arrows, Discussion
combining multiple graphics, Discussion
format of imported images, 8.0 Introduction
geometric shapes, See Also
tree-based pricing approaches, Discussion

Graphics3D, Solution

GraphicsArray, Discussion

GraphicsColumn, 6.0 Introduction, Discussion

GraphicsGrid, 6.0 Introduction, Discussion

displaying related graphs, Discussion
formatting 2D graphics outputs, 6.0 Introduction

GraphicsRow, 6.0 Introduction, Discussion

GraphIntersection, Discussion

GraphJoin, Discussion

GraphPlot, See Also

GraphProduct, Discussion

graphs, Discussion, See Also, Solution, Problem

constructing for Combinatorica` algorithms, Discussion
extracting information, See Also
interactive, Problem
transitive closure of, Solution

GraphUnion, Discussion

GraphUtilities` package, See Also, See Also

Gray, Theodore, Solution, Discussion, See Also

"GrayLevels" element, Solution

greatest common divisor (GCD), Discussion

greedy matching, Discussion

Greeks, 14.0 Introduction, Solution

grep demonstration, Discussion

Grid, See Also

grid lines, on graphs, Discussion

Grid Mathematica, Parallel Mathematica

grpath, Solution

H

Halton sequence, Solution

HamiltonianQ, Solution

HammingDistance, Discussion

currying functions, Discussion, See Also
folding implementations, Discussion
as functional language, See Also

hasPath, Solution

Head, Numerics

heads, Numerics, Discussion, Discussion, Discussion, Discussion, Three-Dimensional Graphics and Plots

graphics, Three-Dimensional Graphics and Plots
indexed, Discussion
numerals, Numerics
red-black trees, Discussion
XML, Discussion, Discussion

HeapSort, Discussion

histogram equalization, Problem

histogram specification, Problem

histogramSpecification, Solution, Solution

history, clearing, Discussion

completing replacement before evaluation, Problem
currying, Discussion
holding unique argument combinations, Problem
nonstrictness of, See Also
pattern matching, Discussion

HoldAll, Flat, See Also, See Also, Discussion, Discussion

creating grammars, Discussion
implementing closures, See Also, Discussion
nonstrictness of, See Also

HoldFirst, Flat, See Also, Solution, Discussion

destructive changes to symbol values, Solution
effect on Dynamic, Discussion
nonstrictness of, See Also

HoldForm, Solution, Discussion, Solution

displaying polynomials in specific order, Solution, Discussion
with Trace, Solution

HoldPattern, Discussion, Problem

associative lookup, Discussion
completing replacement before evaluation, Problem

HoldRest, Flat, See Also

HSV color model, See Also

hue, See Also

Hull-White method, Discussion

hyperspheres, volume of, Discussion

hypothesis testing, Discussion

I

identity matrices, Solution

IdentityMatrix, List Functions, Solution, Solution

constructing lists, List Functions
specifying matrix structure, Solution
synthesizing sparse equivalent of, Solution

IgnoreCase, Discussion

IKernelLink, Problem

Image, 8.0 Introduction

image processing, Image Processing, Image Processing in Mathematica 7, Problem, See Also, Problem, Problem, See Also, See Also, Problem, Problem

challenges of, Image Processing
converting RGB to HSV, See Also
correcting images, Problem
detecting edges, Problem
enhancing images, Problem
extracting elements, Problem
functions, Image Processing in Mathematica 7
image recognition, Problem
sharpening images, See Also
smoothing images, See Also

image representation, 8.0 Introduction, Solution

ImageConvolve, Discussion

ImageHistogram, Discussion

images, imported, 8.0 Introduction

imageVector, Discussion

ImplementJavaInterface, Discussion

extracting image information, Problem
image processing format, 8.0 Introduction
importing digital sound files, Problem
importing financial data, Discussion
importing XML, See Also

incUntilButton, See Also

indexed functions, Discussion

infinite loops, debugging, Discussion

infix notation, Discussion

Initialization, Discussion, Problem

initializing automatically, Discussion

Inner, Matrix and Tensor Functions, Solution

InputForm, Two-Dimensional Graphics and Plots

Insert, List Functions

Inset, Discussion

Install (MathLink), Solution

InstallJava, Problem

InstallNET, Problem

IntegerDigits, See Also

integers, as expression heads, Numerics

IntegerString, Discussion

Integrate, Discussion

integration, Discussion

interactivePlot, See Also

interactivity, Interactivity, 15.0 Introduction, Problem, Problem, Problem, Problem, See Also, Problem, Problem, See Also, Discussion, Discussion, Problem, Discussion, See Also, Problem, See Also

animating expressions, Problem
balancing speed and space, Problem
controlling dynamic value updates, See Also
creating custom controls, See Also
creating custom interfaces, See Also
dynamic updates, Problem
improving Manipulate performance, Discussion
intercepting control values, Problem
localizing functions in Manipulate, Problem
making a self-contained Manipulate, See Also
manipulating plots, Problem
manipulating symbolic expressions, Problem
remembering found values, Discussion
scoping constructs in notebooks, Problem
sharing dynamic module variables, Discussion
variable manipulation, 15.0 Introduction

interest rate sensitivity, See Also, Solution, Discussion

of bonds, See Also
of options, Solution
visualizing tree-based approaches, Discussion

interest, continuously compounding, Discussion

interfaces, custom, See Also, See Also

creating, See Also
managing large number of controls in, See Also

interfacing with third-party tools, Interfacing Mathematica

internal rate of return, Discussion

Interpolation, Discussion, Solution

computing finite differences, Solution
creating interpolation functions from data, Discussion

InterpolationOrder, Discussion, Discussion

in 2D plots, Discussion
in 3D plots, Discussion

Intersection, Set Functions, Discussion

eliminating duplicate list elements, Set Functions
querying databases, Discussion

IntervalIntersection, Discussion

IntervalMemberQ, Discussion

intervals, estimating errors with, Discussion

IntervalUnion, Discussion

inverseEqualizationMap, Discussion

InverseFunction, Discussion

InverseSeries, Solution

Item, See Also

ItemNumbered, Discussion

iteration, See Also, See Also, Discussion

building functions through, See Also
computing with Nest functions, See Also
graphing convergence, Discussion

J

Java, Problem

JavaBlock, Discussion

JavaScript closure solutions, Discussion

JLink` package, Problem

Join, List Functions, XML-to-XML transformations

composing new lists, List Functions
transforming XML, XML-to-XML transformations

K

kernels, Discussion, Solution, Discussion, 16.0 Introduction, 16.0 Introduction, 16.0 Introduction, 16.0 Introduction, See Also, Problem, Solution, Solution, Solution, Discussion, Discussion, Discussion, Discussion, Discussion, Discussion, Discussion, Discussion, Discussion, Discussion, Problem, Problem, See Also, Discussion

as argument of ListConvolve, Discussion
bypassing, See Also
clearing old definitions from, Problem
in parallel computing, 16.0 Introduction, Problem, Discussion
Laplacian, Solution
local, 16.0 Introduction
master, 16.0 Introduction, Solution, Discussion, Discussion, Discussion
master-slave overhead, Solution
and .NET applications, Problem
remote, See Also, Discussion
shared resource issues, Discussion
sharing data across, Discussion
slave, 16.0 Introduction, Solution, Discussion, Discussion, Discussion
startup and termination operations, Discussion
variable storage in, Discussion

Kernels, Solution

keyToFilenamePrefix, Discussion

kinematics problems, Problem

knapsack, Discussion

Koch snowflake demonstration, See Also

Kreyszig, Erwin, Solution, Discussion

Kurtosis, Solution, Discussion

L

labels, Discussion, Discussion

arrows, Discussion
on graphs, Discussion

LabelStyle, Discussion

lambda functions, See Also

language generators, creating, Solution

Laplacian, Discussion

Laplacian of the Gaussian (LoG) algorithm, Problem

Laplacian transforms, See Also

Last, List Functions

LaunchKernels, Discussion

Lauschke, Andreas, Problem, Discussion, Problem

lazy evaluation, See Also

LCM (least common multiple), Discussion

LeafCount, Solution

least common multiple (LCM), Discussion

Legend, See Also

LegendPosition, Solution

legends, creating, Problem

LegendSpacing, Solution

LegendTextSpace, Solution

Less, Solution, Discussion

creating functions that accept options, Solution
ordered associative lookup, Discussion

Level, Solution

level specifications (levelspecs), Discussion, Discussion, Discussion, Discussion, Discussion, Discussion, Solution

counting matching elements, Discussion
in mapping multi-argument functions, Discussion
manipulating nested lists, Discussion
pattern matching, Discussion, Discussion
with ParallelMap, Solution

libraries, Discussion, See Also

creating, Discussion
debugging, See Also

Lichtblau, Daniel, Discussion, Solution

Lighting, Discussion, Problem

controlling lighting of 3D graphics, Problem
visualizing translucent surface coverings, Discussion

lighting properties, Problem

Lightweight Grid Service, 16.0 Introduction, See Also

limits, computing, 11.0 Introduction

Line, See Also

line integrals, computing, Problem

linear regressions, Discussion

linearElement, Discussion

linearElementMatrix, Solution

LinearModelFit, Solution

linguistic processing, Problem

LinkObject, Interfacing Mathematica, Solution

links, defined, Interfacing Mathematica

Lissajous curves, plotting, Discussion

List, Data Structures, Discussion

constructing lists, Data Structures
extracting matrix diagonals, Discussion

list functions, overview of, Data Structures

Listable, Flat, Problem, Set Functions

mapping over lists automatically, Problem
vector math operations, Set Functions

ListAnimate, See Also

ListContourPlot, Discussion

ListConvolve, Solution, Solution, Solution, Discussion

computing finite differences, Solution, Discussion
image convolution, Solution
performing computations on sublists, Solution

ListCorrelate, Solution

ListLinePlot, Solution, Solution

in Fourier analysis, Solution
visualizing random walks, Solution

ListPlot, Problem

ListPlot3D, Discussion

lists, Problem, Data Structures, Data Structures, List Functions, List Functions, List Functions, List Functions, Set Functions, Problem, Discussion, Discussion, Discussion, See Also, Solution

building incrementally, Problem
converting to and from trees, List Functions, Solution
determining order without sorting, Discussion
eliminating duplicate elements, Set Functions
generating, Data Structures
manipulating nested, Discussion
modeling tree data structures, See Also
numerical representation, Problem
processing functions, Data Structures
rearranging, List Functions
restructuring, List Functions
sorting, Discussion
taking apart, List Functions

LoadNETType, Problem

local kernels, 16.0 Introduction

localMatrices, Solution

locationVectors, Solution

lock variables, Solution

LoG (Laplacian of the Gaussian) algorithm, Problem

Longest, Discussion

"Lookup", Discussion

LowerTriangularize, Discussion

M

machine precision, Numerical Types, Discussion

MachinePrecision, Discussion

Macintosh computers, and remote kernels, Solution

makeAdaptiveGrid, Solution

MakeGraph, Solution

ManhattanDistance, Discussion, Discussion

Manipulate, Discussion, Solution, Discussion, Interactivity, 15.0 Introduction, Problem, Problem, Discussion, See Also, Discussion, Discussion, Problem, Discussion, See Also, Discussion, See Also, Discussion

controlling variable values interactively, 15.0 Introduction
creating custom controls, See Also
creating custom interfaces, See Also
creating interactive graphs, Problem
creating tabbed and menu interfaces, Discussion
encapsulating startup definitions, See Also
and graphics manipulation speed, Discussion
improving performance of, Discussion
localizing functions in, Problem
measuring securities option sensitivity, Discussion
relationship with Animate, Discussion
remembering found values, Discussion
scope of control variables, Discussion
simulating kinematics problems, Discussion
varying symbolic expression structures, Problem
with yield curves, Solution

Manual, Discussion

Map, The Elements of Functional Programming, The Elements of Functional Programming, Solution, Problem, Discussion, Solution, Problem, Discussion

compared to ParallelMap, Discussion
creating scales and melodies, Solution
effect of, The Elements of Functional Programming
level specifications, Discussion
mapping multi-argument functions, Solution
mapping multiple functions in a single pass, Problem
notations for, The Elements of Functional Programming
playing chord progressions, Problem

mapAndStore, Discussion

level specifications, Discussion
parallel processing with, Discussion, Discussion
tracking item indexes, See Also
transforming notebooks, Discussion

mapper, Discussion

mapping, Discussion (see , )

mapReduce, Problem

market cap, defined, Discussion

mass, computing, Problem

master kernels, 16.0 Introduction, Solution, Discussion, Discussion

in parallel computing, 16.0 Introduction
in pipeline approach, Discussion, Discussion
overhead, Solution

matching, See Also (see )

Mathematica in Action (Wagon), Discussion, Discussion

3D graphics primitives demonstration, Discussion
iterative functions systems study, Discussion

MathKernel, Solution, Discussion

connecting frontend to remote kernel, Solution
creating a custom frontend, Discussion

MathLink, Interfacing Mathematica, Solution, Discussion

installing programs, Solution
types returned, Discussion

matrices, Matrix and Tensor Functions, Solution, Solution, Solution, Discussion, Solution, Discussion, Problem, Solution

diagonal, Solution
global, Solution
identity, Solution
permutation, Discussion
shift, Solution
sparse arrays, Discussion
tridiagonal, Solution, Problem

matrices, building, Solution

matrices, manipulating, Set Functions, Discussion, Discussion, Discussion, Discussion, Problem, Discussion

extracting diagonals, Discussion
modifying rows and columns, Problem
non-numeric permutations, Discussion
permuting rows and columns, Discussion
transforming, Discussion, Discussion
with vector functions, Set Functions

matrix computations, See Also, Problem, Solution

covariance and correlation, See Also
normal modes, Problem, Solution

matrix functions, overview of, Matrix and Tensor Functions

maxima problems, solving, Discussion

Maximize, Discussion

MaxIterations, Discussion

MaxRecursion, Problem

Median, Solution

melody, Problem

MemberQ, Set Functions, Discussion, Solution, Discussion

eliminating duplicate list elements, Set Functions
emulating SQL subqueries, Discussion
level specifications, Discussion
testing repeated transformations, Solution

"Members", Discussion

memory, freeing, Discussion, Discussion

memory, shared, Discussion

MenuPosition, Discussion

MenuView, Discussion

merge, Discussion

mergeAll, Discussion

Mesh, Discussion, Discussion

constructing wireframe models, Discussion
highlighting plot points, Discussion

MeshFunctions, Discussion

Method, Problem

MethodOfLines, Discussion

Microsoft .NET, Problem

MIDI files, exporting, Discussion

minima problems, solving, Discussion

MinimalPolynomial, Discussion

Minimize, Discussion

Mod, Discussion

mode, computing, Discussion

Module, Discussion, Problem

compared to DynamicModule, Problem
implementing closures, Discussion

moment of inertia, computing, Problem

MonomialList, Solution

Monte Carlo method, Discussion

Monty Hall problem, Discussion

Moore, Ross, Problem, See Also

Most, List Functions, Discussion

associative lookup, Discussion
taking lists apart, List Functions

MousePosition, See Also

MovingAverage, Solution

MovingMean, Solution

mprep preprocessor, Discussion, Discussion

MUnit` framework, See Also, See Also, Discussion, Problem, Solution, Discussion

creating unit tests, See Also, See Also
directing kernel to, Solution
functions, Discussion
integrating with frontend, Problem
organizing and controlling tests, Discussion

music, Audio and Music Processing (see )

musical notes, creating, Problem

N

N, Numerical Expressions

natural language dictionaries, Problem

NDSolve, Problem, Problem, Discussion, Problem

evaluation monitoring, Problem
limitations, Discussion
modeling vibrating strings, Problem
speeding up, Problem

Nearest, Anagrams

Nelson-Siegel function, Problem

Nest, The Elements of Functional Programming, Discussion, See Also, See Also, List Functions

building functions through iteration, See Also
iterative computations, See Also
as recursion alternative, Discussion
restructuring lists, List Functions

nested applications, Flat, Discussion

flattening, Flat
readability of, Discussion

nested lists, manipulating, Discussion

NestList, The Elements of Functional Programming, Discussion, Discussion, Solution, Discussion, Solution, Solution

convergence through iteration, Discussion
debugging infinite loops, Solution
generating lists of grid points, Solution
iterative computations, Discussion
modeling population dynamics, Solution
as recursion alternative, Discussion

NestWhile, Discussion, Discussion

iterative computations, Discussion
as recursion alternative, Discussion

NestWhileList, Discussion, Discussion

iterative computations, Discussion
as recursion alternative, Discussion

.NET, Problem

NetImage, Discussion

NETLink` package, Problem

NETNew, Problem

networks, 16.0 Introduction, See Also, Discussion

configuring remote services kernels, See Also
map-reduce technique for, Discussion
parallel computing on, 16.0 Introduction

nextUniqueFile, Discussion

ngon, See Also

NIntegrate, Problem, Discussion

computing critical values, Discussion
evaluation monitoring, Problem

NMinimize, Problem

nongreedy matching, Solution

nonlinear models, Problem

NonLinearModelFit, Problem

nonparametric methods, Discussion

nonsinusoidal waves, Discussion

nonstrict languages, See Also

nonticklish functions, Solution

Normal, Solution, Discussion, Discussion, Discussion

converting sparse matrix to list form, Solution, Discussion
forcing low-level primitive representation, Discussion
generating series expansions of functions, Discussion

normal modes, computing, Problem

notation, Exact and Approximate Results, Exact and Approximate Results, Discussion, Discussion, Problem, See Also, Discussion, Discussion, Problem, Problem, Problem, Discussion, Discussion

(see also , )
for bases other than 10, Problem
for derivatives, Problem, Discussion
for XMLObject, Discussion
functional, Discussion, Problem, Discussion
in GraphUtilities` package, See Also
for language grammars, Discussion
musical, Problem
for numerical expressions, Exact and Approximate Results, Discussion

Notation, Discussion

NotebookGet, Discussion

NotebookOpen, Discussion

NotebookPut, Discussion

notebooks, Problem, See Also, Discussion, Problem, Problem, Discussion

extracting information from, Problem
formatting, Discussion
SaveAs formats, Discussion
saving and reopening, See Also
saving space in, Problem
transforming into other forms, Problem

notebooks, interactive, Problem

NotebookSave, Discussion

NSolve, Discussion

NSum, Problem

Null, Discussion

NumberForm, Solution

NumberFormat, Discussion

NumberPadding, Solution

numbers, representation of, Problem, Discussion, Problem, See Also

(see also )
display forms, Discussion
in lists, Problem
using other bases, Problem

numeric results, precision of, Numerical Types, Numerical Expressions

numerical expressions, notation for, Exact and Approximate Results

numerical types, See Also (see )

O

object-based programming, Solution

octave divisions, Discussion

Ohm’s law demonstration, Discussion

Opacity, Discussion, Problem

OpenerView, See Also

Options, Discussion

options on securities, 14.0 Introduction, 14.0 Introduction, Discussion, Solution, Problem, Discussion, Problem

American pricing, Problem
computing implied volatility, Problem
European pricing, 14.0 Introduction, Discussion, Discussion
measuring sensitivity, Solution

options, accepting, Discussion

OptionValue, Discussion

Order, Problem

ordered associative lookup, Discussion, Discussion

Ordering, Solution

Orderless, DownValues and UpValues, Discussion

oscillations in tree methods, Discussion

Outer, Solution, Discussion

extracting financial properties, Discussion
querying databases, Solution

outliers, adjusting for, Discussion

overhead, Discussion, Solution, Discussion

master-slave, Solution
of parallelization, Discussion
tradeoffs, Discussion

Overlaps, Discussion, See Also, Discussion

with StringCases, Discussion
with StringPosition, See Also, Discussion

P

packages, defining custom, Discussion

packed arrays, Problem

PaddedForm, Solution

PairwiseScatterPlot, Discussion

palindrome demonstration, Anagrams

PaneSelector, See Also

Parade magazine, Discussion

Parallel Computing Toolkit, 16.0 Introduction

parallel primitives, Problem

parallel processing, Parallel Mathematica, Parallel Mathematica, 16.0 Introduction, Discussion, Problem, Discussion, Problem, Discussion, Problem, Problem, See Also, Discussion, Discussion, Discussion, Problem, See Also, Discussion

combining results of parallel data segments, Problem
debugging code for, 16.0 Introduction
distribution methods, Problem
mapping functions across lists, Discussion
organizing operations, Discussion
overhead of, Discussion, Discussion
partitioning large data sets, Problem
performance problems, See Also
processing massive numbers of files, Problem
race conditions, Discussion
running commands on multiple kernels, Discussion
running different algorithms in parallel, See Also
scope of, Parallel Mathematica
of serial expressions, Problem
sharing data between kernels, Discussion

ParallelCombine, Problem, Problem

ParallelDo, Problem

ParallelEvaluate, Discussion, Discussion, Discussion

checking state of remote kernels, Discussion
measuring overhead of parallelization, Discussion
running commands on multiple kernels, Discussion

Parallelize, Problem, Problem

ParallelMap, Discussion, Problem, Discussion

as alternative to CriticalSection, Discussion
distributing computation across kernels, Problem
implementing data-parallel algorithms, Discussion

ParallelSubmit, Discussion

ParallelSum, Problem

ParallelTable, Problem, Problem, Discussion

as alternative to CriticalSection, Discussion
partitioning large data sets, Problem

ParallelTry, See Also

parametric methods, Discussion

parametric plots, Discussion

ParametricPlot, Solution

ParametricPlot3D, Discussion, Problem, Discussion, Problem

compared to RevolutionPlot3D, Discussion
compared to SphericalPlot3D, Discussion
constraining 3D plots to specified regions, Problem

ParetoPlot, Discussion

parsers, Discussion, Solution

Part, List Functions, Problem, Discussion

accessing XML structure, Discussion
compared to ReplacePart, Problem
taking lists apart, List Functions

partial derivatives, computing, Problem

partial differential equations (PDEs), Discussion, Problem

particleData function, Problem

ParticleData source, Problem

particleTable, Problem

Partition, Discussion, List Functions, Discussion, Solution

converting linear list into 2D form, Discussion
converting RGB images to HSV, Solution
relationship to ListConvolve, Discussion
restructuring lists, List Functions

PassEventsDown, Discussion

PassEventsUp, Discussion

pattern constructs, 4.0 Introduction

pattern matching, DownValues and UpValues, Patterns and Rule-Based Programming, Problem, Problem, Discussion, Discussion, Problem, Discussion, Discussion, See Also, Discussion, Discussion, Solution, Characters and Character Encodings, Problem, Using patterns, See Also, See Also, Discussion, Discussion, See Also, Discussion

counting matching elements, Discussion
emulating unification-based matching, Solution
excluding matching elements, Discussion
extracting substrings, Using patterns
extracting XML elements, Discussion
finding longest or shortest matches, Discussion
finding matching values, Problem
with genetic and protein data, Discussion
greedy and nongreedy, Discussion
in strings and text, Characters and Character Encodings, See Also
manipulating 3D graphics, See Also
manipulating patterns with, See Also
order of processing, DownValues and UpValues
primitives, Patterns and Rule-Based Programming
querying databases, Discussion
removing and replacing string characters, Problem
replacing parts of an expression, Problem
transforming matching values, Problem
transforming XML, Discussion
using semantic relationships, Discussion

pattern tests, Except

pattern-based programming, Patterns and Rule-Based Programming

patterns, defined, 4.0 Introduction

PatternSequence, Repeats

PCA (principal component analysis), Problem

PDEs (partial differential equations), Discussion, Problem

PDF (probability density function), See Also

Pentland, Alex, Solution, Discussion

percussion grooves, Discussion

performance, improving, Set Functions, Discussion, Problem, Discussion, Problem, Problem, Discussion, Discussion, See Also, Discussion, See Also

compiling functions, See Also
dynamic modules, Problem
freeing memory, Set Functions, Discussion, Discussion
interactive graphics manipulation, Discussion
interactivity, Problem, Discussion
parallel processing, Discussion, See Also
partial differential equations, Problem

periodic table of elements, Discussion

permutation matrices, Discussion, Discussion

constructing, Discussion
sparse versions of, Discussion

perpetuity, See Also

perspective, Discussion

perturbation, random, Solution

Piecewise, Solution, Discussion

composing complex functions, Discussion
creating envelopes, Solution

piecewise functions, Discussion, Discussion

composing, Discussion
as result of Integrate, Discussion

PiecewiseExpand, Discussion

pipeline approach, Discussion

Play, Solution

Plot, Problem, Discussion, Discussion, Discussion

compared to ListPlot, Discussion
compared to Plot3D, Discussion
compared to PolarPlot, Discussion

Plot3D, The Symbolic Nature of Graphics, Discussion, Discussion, Problem, Problem

combining 2D contours with 3D plots, Problem
compared to ParametricPlot3D, Discussion
compared to Plot, Discussion
constraining plots to specified regions, Problem
plotting functions in Cartesian coordinates, The Symbolic Nature of Graphics

PlotLabel, Discussion

PlotLegends` package, Problem

PlotPoints, Problem, Discussion