Book Index: Elementary Introduction to the Wolfram Language

Abbreviations

for units, 90

Aborting evaluation, 308

Abs, 138

Absolute value (Abs), 138

AbsoluteTiming, 304, 315

Access

to cloud deployments, 225

Access control

for cloud objects, 272

Accessibility

for visually impaired, 240

Accumulate

in databin, 270

with FoldList, 179

Accumulate, 181

Add to databin (DatabinAdd), 270

Addition (Plus), 1

of lists, 15

AdjacencyGraph, 123

AdjacencyMatrix, 123

Adjectives, 222

Afterthought (function application as), 147

Age group

target, xiv

Age of universe

compared to UUIDs, 272

AI (artificial intelligence), 125

Aircraft positions, 84

Aircraft simulations (AnglePath3D), 91

AirTemperatureData, 103

AiryAi, 310

Algebra, 310

Algebraic variables

symbols as, 212

Algorithms

built-in, 312

for music, 54

for sorting, 258

Alignment

of sequences, 268

All (as option value), 111

Alpha (Wolfram|Alpha), vii

Alphabet

visual nearness in, 131

Alphabet, 48, 187, 214

Alphabet position (LetterNumber), 49

Alternation

in regular expressions, 267

Alternatives

in patterns (|), 200

in string patterns (|), 264

Ambiguity, 80, 224

AmbiguityFunction, 224

Amusement parks

as entities, 81

Anatomy

as example of data, 82

And (&&), 171, 312

Android deployment, 227

AnglePath, 89

Angles

units for, 88

AngularGauge, 146

Animals

interpreter for, 220

web app about, 228

Animal-vegetable-mineral

and ImageIdentify, 133

Animation, 181, 240

in Manipulate, 37

Annotations

for code, 304

in plots, 237

Anonymous functions, 153

Anonymous local files, 271

Answer

latest (%), 241

APIFunction, 234, 313

APIs

building, 234, 313

external, 277, 282

Append, 245, 299

AppendTo, 245

Apply, 212

Applying functions, 147

Approximate numbers, 135

Apps

creating, 225

Arabic alphabet, 52

Arbitrary precision, 136

Architecture

of systems, 317

ArcTan, 140

Arduino, 283

Area, 311

Arguments

of functions, 177, 208

Arithmetic, 1

modulo, 139

on images, 44

on lists, 15

with dates, 101

with units, 87

Array, 177

Array subscript (Part), 16

ArrayFlatten, 185, 191

ArrayPlot, 58, 313

Arrays

lists as, 10

multidimensional, 57

of arrays, 185

Arrow (), 109

Arrow (graphics primitive), 71

Artificial intelligence, 125

ASCII (ToCharacterCode), 52

AskFunction, 234

AspectRatio, 113

Assignment

delayed, 247

immediate, 247

of names, 241

Association, 214

AssociationMap, 217

Associations, 213

and string templates, 265

combining, 293

in datasets, 285

of associations, 285

visualization of, 240

Associative arrays (associations), 216

Associativity, 261

Assumptions

in debugging, 306

Asterisk (*)

for multiplication, 2

in regular expressions, 267

Asynchronous operations, 283

At sign (@), 147

Atoms

compared to UUIDs, 272

in expressions, 206

Attributes

of functions, 261

Audio, 53

Audio, 56

AudioCapture, 55

AudioPitchShift, 55

AudioPlot, 55

Authorization

of external services, 282

Autocomplete menu, xiii, 75

Automatic

for options, 110

Automobile

historical word frequency, 104

AutoRefreshed, 234

Autoupdating website, 227

Axes, 71

Background, 110

for Framed, 235

for Grid, 114

Backquote (`), 140, 266

typing, 267

Backslashes

for entering quotes, 52

in numbers, 140

Backtick (`), 140, 266

typing, 267

Backwards (Reverse), 8, 45

Ball, 310

BarChart, 11, 80, 290

for associations, 215

versus Histogram, 146

BarChart3D, 146

BarcodeImage, 133

BarcodeRecognize, 133

BarLegend, 240

Bars

labeling using, 240

Base expansions (IntegerDigits), 18, 140

Bases

numbers in other, 18, 140

BBC

word cloud from website of, 282

Beep, 56

Beginning of list (First), 16

Benford’s law, 145

BesselJ, 140

Bidirectional graph (UndirectedGraph), 119

Big numbers, 2

Binarize, 41

Binary digits (IntegerDigits), 18

Binary dump format (DumpSave), 273

Bindings

for APIs (EmbedCode), 234

Binomial, 310

Binomial coefficients, 163, 310

Bins

in histogram, 146

Bioinformatics, 268

clustering in, 134

Birds

as web image search, 277

Bitcoin, 91

Bitmaps, 49

Black, 25

Black and white (Binarize), 41

Black background, 240

Black-and-white plots, 240

Blank (_), 199

Blend, 25, 160

Block matrices (ArrayFlatten), 185

Block

compared to Module, 245

Blocks

partitioning into, 183

Blue, 25

Blur, 39, 153

text recognition and, 127

Bold, 28

Books

word frequencies in, 104

Boolean computation, 312

Boolean operations, 171

BooleanCountingFunction, 312

BooleanMinimize, 312

Booleans, 175

BooleanTable, 312

Bordering countries, 79

Borders

of graphics (EdgeForm), 71

Bowtie polygon, 71

Boxed, 71

BoxWhiskerChart, 146

Braces ({...})

for lists, 10

Brackets ([...])

square, 3

Brains

as inspiration for ImageIdentify, 133

Break strings (StringSplit), 264

Browsers

CurrentImage in, 44

Bubble sort, 261

BubbleChart, 146

Bugs, 300, 305

Built-in functions, 73

redefining, 254

BusinessDayQ, 174

ButterflyGraph, 123

ByteCount, 212

C language, 304

C++, xi, 304

Caching

content of cloud objects, 273

in function definitions, 304

Caffeine, 82

Cake chart (PieChart), 11

Calculus, 310

Calendar systems, 106

Calling APIs, 234

Callout, 236

Camera

in apps, 231

not available, 44

picture from, 39

Canonical form

for entities, 80

Capital letters

for functions, 3, 4

Capitalize (ToUpperCase), 45

Capitals

of Europe, 312

Car

directions by, 99

historical word frequency, 104

Cartography, 93

CAs (cellular automata), 313

Cases, 199, 209

compared to Select, 199

operator form of, 210

Catenate, 293

Cats

testing for pictures of, 172

Ceiling, 141

CellularAutomaton, 304, 313

Centimeters, 87

Central limit theorem, 146

Centuries

of word frequencies, 104

Chaining

of dataset queries, 287

Chains of functions, 147

Chalkboard font, 114

Champernowne sequence, 190

Channel framework, 283

ChannelListen, 283

Character code (ToCharacterCode), 52

Character codes, 52

Character sets, 49

Characters

in string patterns, 263

Characters, 46, 171, 183, 194, 211

Chart

bar (BarChart), 11

pie (PieChart), 11

ChartLabels, 215

Checkboxes

in forms, 233

in Manipulate, 37

Cheetah

image identification of, 125

Chemicals

interpreter for, 220

ChiSquareDistribution, 140

Choose elements (Select), 170

Chooser, 35

Chords

musical, 55

ChromaticityPlot, 28

ChromaticityPlot3D, 28

Circle, 29, 154

size of, 113

with coordinates, 64

Circle graph (PieChart), 11

Circle packing, 65

Cities

as entities, 93

distance between, 93

nearest, 97

City plots (GeoBubbleChart), 99

Classes of entities, 79

ClassifierFunction, 133

Classify, 125, 276

Clear, 242, 252

Clock

on web, 227

Clock arithmetic (Mod), 139

ClockGauge, 226

Closest (Nearest), 126

Cloud

deployment to, 225

interactivity on, 37, 229

Manipulate on, 37, 229

physical location of, 234

Wolfram Knowledgebase in, 84

Cloud base, 272

Cloud CDF, 229

Cloud objects, 269

caching of, 273

CloudDeploy, 225, 313

CloudExport, 279

CloudExpression, 272

CloudGet, 269, 289

CloudPut, 269

CloudSave, 269

Cluster analysis, 128

Code

annotations to, 304

debugging of, 305

efficiency of, 302

making random changes in, 308

optimization of, 304

overly short, 301, 304

writing good, 299

Code captions, xiii, 76

Code generation (EmbedCode), 234

Code reviews, 317

Collage (ImageCollage), 40

Collatz problem, 174

Collect elements (Gather), 186

Collisions

of UUIDs, 269

Colon (:)

in patterns, 258

Colon-equals (:=), 247

Colon-greater (:>), 248

Color blindness, 240

Color cube, 70

Color pickers

in forms, 233

Color spaces, 28

from FeatureSpacePlot, 130

nearness in, 129

Color wheel, 28

ColorDistance, 133

ColorFunction, 116

ColorNegate, 25, 147, 154, 159

for images, 39

Colors, 25

background (Background), 110

blending (Blend), 25

dominant (DominantColors), 41

HTML, 28

in graphics (Style), 30

models of, 28

named, 28

names of, 28

nearest, 126, 129

of text (Style), 26

picking in Manipulate, 37

random (RandomColor), 26

Column chart (BarChart), 11

Column, 12, 238

Columns

in arrays, 194

in datasets, 285

Combinations (Tuples), 188

Combinators, 260

Combining

associations (Association), 293

colors (Blend), 25

lists (Join), 8

plots (Show), 146

strings (StringJoin), 45

Comments in code, 304

Common elements (Intersection), 187

Common words

in English (WordList), 47

in word cloud, 47, 293

Communities

in graphs, 121

Community

Wolfram, xv

CommunityGraphPlot, 121

Commutativity, 261

Comparative linguistics, 222

Compile, 304

Complement, 187

Complementary color (ColorNegate), 25

Complete graph, 119

CompleteGraph, 123

Complex forms

AskFunction, 234

Complex numbers, 140

Complexity

from simple programs, 304, 313

Composite heads, 209

Compositing images (ImageAdd), 42

Composition operators, 294

Compound expressions (;), 243

CompoundElement, 234

Computational geometry, 311

Computational thinking, ix, 318

Computational universe, 313

Computed number fields, 230

Computer algebra, 310

Computers

for Wolfram Language, xiv

Concatenate

Catenate, 293

Join, 8

StringJoin, 45

Conditionals, 169

Conditions

on patterns (/;), 257

Cone, 30

Confusion

of letters, 127

Connected devices

data from, 269

Connected graph, 133

ConnectedGraphQ, 174

Connections

in graphs, 117

Connectivity (internet)

for Interpreter, 224

for units, 90

needed for data, 84

Constituent graph, 221

Constraints

on form fields, 233

Contexts, 304

Contour lines (MeshFunctions), 146

Contour plot, 144

ContourLabels, 146

ContourPlot3D, 309

Control+=, 77, 219

for dates, 101

for units, 87

ControllerInformation, 37

Controls

UI, 35

Conversions

between units, 87

ConvexHullMesh, 311

Coordinates, 63

on Earth’s surface, 96

Corners

of polygons, 67

Corporate data, 285

Cos, 140

Count, 16

Countries

as entities, 77

graph of bordering, 165

maps of, 93

nearest, 96

picking out names of, 221

Country plots (GeoRegionValuePlot), 99

CountryData, 84

Counts, 213, 315

Course

for this book, xv

Courses

use of book in, xiv

CPU time, 304

Crawling

on network (NestGraph), 165

CreateCloudExpression, 272

CreateDatabin, 270

Creating functions, 251

Crossing

of graph edges, 123

Cryptocurrencies, 91

Cryptography, 314

Cuboid, 71

Curly brackets ({...})

for lists, 10

Currency

interpreter for, 219

units of, 88

Currency codes, 91

Current location (Here), 97

Current time, 101

CurrentDate, 107

CurrentImage, 39

Currying, 212

Customer data, 289

Cylinder, 30

Cyrillic alphabet, 49

Darwin

Charles, 278

Dashboard

autorefreshed, 234

creating a web, 227

Data

hierarchical, 289

importing, 275

real-world, 77

Data Drop, Wolfram, 269

Data Repository, Wolfram, 278

Data signatures

for databins, 273

Database join (JoinAcross), 217

DatabaseLink, 297

Databases, 297

connecting to external, 297

importing, 276

DatabinAdd, 270

Databins (in Wolfram Data Drop), 270

Dataset, 285

DateListPlot, 104, 270

Dates, 101

formats of, 101

DateString, 106

DateValue, 106

DateWithinQ, 107

Day of week (DayName), 102

DayName, 102

DayRange, 101

DDMMYY (date format), 107

Debugging, 305

interactive, 308

Decimal approximation, 135

Decimal degrees, 99

Decimal expansion (IntegerDigits), 16

Decimal points

and approximate numbers, 135

Default values

in patterns, 261

Defining variables, 241

Definitions

of functions, 251

of words (WordDefinition), 224

Defocus (Blur), 39

Degree, 88

Degrees-minutes-seconds, 99

Delayed assignment (:=), 247

Delayed rules (), 248

Delayed, 226

as analog of :=, 248

DeleteDuplicates, 191

DeleteFile, 282

DeleteMissing, 84

DeleteStopwords, 47

Deleting

elements of lists, 195

Delimiters

split strings at, 264

Democracy

word frequency, 104

Demonstrations Project, Wolfram, xv, 37

Dendrogram, 129

Deployment (CloudDeploy), 225

Desk

sensor on my, 270

Destructuring

of function arguments, 255

Device framework, 283

DeviceReadTimeSeries, 283

Diagramming

sentence, 221

Dictionaries (associations), 216

Dictionary

definitions (WordDefinition), 224

list (WordList), 47

Differential equation, 311

DigitCharacter, 264

Digits

as examples of coding styles, 300

folding in, 180

number of, 136

of integers (IntegerDigits), 16

Dimension reduction, 134

Directed graph (Graph), 119