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Contents

Index

SymbolsABCDEFGHIKLMNOPQRSTUVW

Symbols

!, 2.6

#, 2.6

& operator, 3.13

.. operator, 3.13

1-D output, 10.2

2-D math, 10.7

2-D output, 10.2

:, 8.5

:-, 3.7 , 8.4

:: operator, 3.13

:= operator, 1.3

?, 2.6

?[], 3.6

@ operator, 3.13

@@ operator, 3.13

[], 2.6

{}, 2.6

~, 2.3

A

altering plot structures, 12.5

animations

3-D with viewpoint options, 12.7

plots:-animate command, 12.7

anyfunc type, 3.15

argument

definition, 6.1

Arrays

applying a function to contents, 4.4

automatic resizing, 4.4

copying, 4.4

creating, 4.4

getting bounds, 4.4

getting number of elements, 4.4

numeric, 4.4

testing for equality, 4.4

arrow notation, 6.9

assignment expression, 5.5

assignment operator, 5.5

assignment statement, 1.3 , 3.3

automatic resizing

Arrays, 4.4

automatic simplification, 3.4

B

backslash, 2.5 , 2.6 , 2.6

Boolean logic, 3.10

braces

forming sets, 2.6

built-in commands, 1.4

C

case-sensitivity in Maple, 2.3

code generation

defining new translators, 14.7

intermediate code, 14.7

printing phase, 14.7

translation process, 14.7

colon, 1.3 , 2.6 , 5.3

comma

forming expression sequence, 2.6

command-line interface, 14.4

comments, 1.4

Complex constructor, 3.5

complex numbers, 7.2

evalc command, 3.5

Re and Im commands, 3.5

compute services, 14.2

concatenation

names, 2.5

strings, 2.5

connectivity

CAD applications, 14.8

Excel, 14.9

TCP/IP sockets, 14.6

constants

special, 3.3

symbolic, 3.3 , 7.2

copying Arrays, 4.4

copying tables, 4.4

creating

Arrays, 4.4

lists, 4.3

queues, 4.6

records, 4.6

sets, 4.3

tables, 4.4

creating plot structures, 12.5

customizing plots

axes and gridlines, 12.6

colors, 12.6

controlling sampling, 12.6

coordinate systems, 12.6

setting options, 12.6

typesetting, 12.6

view option, 12.6

D

DAG, 2.7

data structures

Arrays, 4.4

converting, 4.5

filtering elements, 4.5

immutable, 4.3

lists, 4.3

mutable, 4.4

queues, 4.6

records, 4.6

sets, 4.3

tables, 4.4

types, 12.5

data types, 2.7

internal representation, appendix1.3

definition

argument, 6.1

function call, 6.1

delaying evaluation, 2.6 , 3.4

dismantle command, 2.7

DLL, 14.3 , 14.5

DocumentTools:-Canvas, 13.4

DocumentTools:-Do command, 13.2

DocumentTools:-GetProperty command, 13.2

DocumentTools:-InsertContent command, 13.3

DocumentTools:-SetProperty command, 13.2

dot character, 3.9

double colon operator, 3.13

double quotes

displaying a text string, 1.3 , 2.5

E

embedded components

adding to document, 13.2

DocumentTools:-Do command, 13.2

DocumentTools:-GetProperty command, 13.2

DocumentTools:-SetProperty command, 13.2

editing component properties, 13.2

programming, 13.2

retrieving and updating component properties, 13.2

equality

records, 4.6

error statement handling, 5.6

escape characters, 2.6

eval command, 1.4 , 3.15

difference between eval and subs, 3.15

evalc command, 3.5

evalf command, 7.4

evalhf command, 7.4

evalindets command, 3.15

evaluating expressions, 3.15

evaluation

delaying, 2.6 , 3.4

evaluation rules, 1.4 , 2.7 , 4.6 , 4.8 , 8.4 , 14.5

tables, 4.4

exception handling, 5.6

expand command, 3.12

expression sequence, 2.6

expression statements, 5.4

expressions

converting to strings, 2.5

evaluating and simplifying, 3.15

grouping terms, 2.6

rational, 3.9

set-theoretic, 3.12

tree form, 2.7

union, 3.12

extended numeric, 7.2

external functions, 14.5

calling, 14.5

calling mechanism, 14.5

specifying parameter types, 14.5

translating, 14.5

wrappers, 14.5

extracting data from tables, 4.4

F

FAIL, 3.10

file input and output

files used by Maple, 10.4

general files, 10.4

FileTools package, 10.4

Maple I/O library, 10.4

importing and exporting numerical data, 10.4

introductory concepts, 10.4

floating-point numbers

catastrophic cancellation, 7.3

Digits, 7.3

hardware, 7.2

IEEE 754, 7.3

precision, 7.3

representation, 7.3

software, 7.2

floats

exponent, 3.5

hardware, 3.5

Maple_floats command, 3.5

significand, 3.5

software, 3.5

flow of control, appendix1.2

for loop, 4.3 , 6.5

ModuleIterator procedure, 8.4

scoping rules, 6.5

format strings, 10.5

fprintf command, 10.5

fractions

denom command, 3.5

Fraction constructor, 3.5

numer command, 3.5

fscanf command, 10.5

full evaluation, 1.4

function call, 3.8 , 6.2

definition, 6.1

function type, 3.15

G

garbage collection, 8.4

global variables

modules, 8.4

procedures, 6.2

Grid computing toolbox, 15.10

Grid programming

communicating between nodes, 15.8

Launch command, 15.8

Receive command, 15.8

Send command, 15.8

Grid-based computation

starting, 15.8

H

hash tables, appendix1.4

hashing in Maple, appendix1.4

Arrays and Tables, appendix1.4

basic hash tables, appendix1.4

cache hash tables, appendix1.4

dynamic hash tables, appendix1.4

name table, appendix1.4

portability, appendix1.4

rectangular Tables, appendix1.4

remember tables, appendix1.4

simplification table, appendix1.4

help databases, 10.4

HFloat

constructor, 3.5

hfloat

option, 7.5

I

Im command, 3.5

imaginary unit

changing default, 3.5

in operator, 3.12

indets command, 3.15

indexed expression

extracting individual elements, 3.6

indexed expressions constructor, 3.6

indexing

mathematical, 4.4

negative, 4.4

programmer, 4.4

indices function, 4.4

nolist option, 4.4

infinity, 7.2

inline assignment, 5.5

input and output

interactive input, 10.3

interactive output, 10.3

with files

files used by Maple, 10.4

help databases, 10.4

internal format files, 10.4

library archives, 10.4

Maple language files, 10.4

Maplet files, 10.4

workbook files, 10.4

worksheet files, 10.4

general files, 10.4

FileTools package, 10.4

Maple I/O library, 10.4

importing and exporting numerical data, 10.4

introductory concepts, 10.4

worksheet

interfaces, 10.3

insert content

constructing a portion of a worksheet, 13.3

programmatically, 13.3 , 13.4

integers

determining length, 3.5

GMP, 7.2

immediate, 7.2

signed, 3.5

interactive input

worksheet, 10.3

interactive output

worksheet, 10.3

interface command, 10.3

variables

echo, 5.8

imaginaryunit, 3.5

prettyprint, 10.3

rtablesize, 10.3

typesetting, 10.7

verboseproc, 1.4

version, 10.3

interfaces

worksheet input and output, 10.3

internal format files, 10.4

internal representation

data types, appendix1.3

assignment statement

inline assignment, appendix1.3

binary object, appendix1.3

break statement, appendix1.3

character string, appendix1.3

communications control structure, appendix1.3

complex value, appendix1.3

debug, appendix1.3

difference, appendix1.3

equation, appendix1.3

error statement, appendix1.3

expression sequence, appendix1.3

for loop statement, appendix1.3

foreign data, appendix1.3

function call, appendix1.3

garbage, appendix1.3

hardware float, appendix1.3

identifier, appendix1.3

if statement, appendix1.3

less than, appendix1.3

less than or equal, appendix1.3

lexically scoped variables, appendix1.3

list, appendix1.3

local variables, appendix1.3

logical AND, appendix1.3

logical IMPLIES, appendix1.3

logical NOT, appendix1.3

logical OR, appendix1.3

logical XOR, appendix1.3

module definition, appendix1.3

module instance, appendix1.3

module member, appendix1.3

multivariate polynomials with integer coefficients, appendix1.3

name concatenation, appendix1.3

negative integer, appendix1.3

Next statement, appendix1.3

not equal, appendix1.3

polynomials with integer coefficients modulo n, appendix1.3

positive integer, appendix1.3

Power, appendix1.3

procedure definition, appendix1.3

procedure parameters, appendix1.3

product, appendix1.3

quit statement, appendix1.3

quotient, appendix1.3

range, appendix1.3

read statement, appendix1.3

rectangular table, appendix1.3

return statement, appendix1.3

save statement, appendix1.3

series, appendix1.3

set, appendix1.3

software float, appendix1.3

sparse distributed multivariate polynomial, appendix1.3

statement sequence, appendix1.3

sum, appendix1.3

table, appendix1.3

table reference, appendix1.3

test for equality, appendix1.3

test for inequality, appendix1.3

try statement, appendix1.3

type specification, appendix1.3

unevaluated expressions, appendix1.3

use statement, appendix1.3

while loop statement, appendix1.3

interrupt a Maple computation, 1.5

command-line, 1.5

hard interrupt, 1.5

worksheet

interrupt icon, 1.5

intersect operator, 3.12

K

kernel, 1.2

kernelopts

maxdigits, 3.5

L

last name evaluation, 1.4 , 3.11 , 4.4 , 6.7 , 6.11

left single quotes

forming names, 2.3

library archives, 10.4

line continuation character, 2.6

lists, 4.3

accessing data stored in, 4.3

creating, 4.3

nested, 4.3

local variables, 1.4

modules, 8.4

loops

commands, 5.6

until, 5.6

M

macro definitions, 11.4

map command, 4.3

Maple character set, 2.2

Maple internal functions

algebraic functions, appendix1.1

algebraic service functions, appendix1.1

data structure manipulation functions, appendix1.1

evaluators, appendix1.1

general service functions, appendix1.1

Maple keywords, 2.3

Maple language files, 10.4

Maple Learn

creating content for, 13.4

Maple library, 1.2

Maple library archive, 11.3

Maple library commands

printing, 1.4

Maple preprocessor, 11.4

Maple types, 2.7

Maple User Interface, 1.2

MapleNet, 14.2

Maplet files, 10.4

Matrix

creating, 2.6

maximum number of digits, 3.5

member function, 4.3

member selection, 3.7 , 8.4

members

exported, 9.2

local, 9.2

memory

clearing, 1.5

methods, 9.4

module definitions

body, 8.4

declaring statements, 8.4

implicit scoping rules, 8.4

lexical scoping rules, 8.4

named modules, 8.4

parameters, 8.4

syntax, 8.4

ModuleIterator procedure, 8.4

modules

exports, 8.4

members, 8.4

options, 8.4

N

name tables, appendix1.4

names, 1.3 , 2.3

equality of, 3.3

multiple assignment, 5.5

unassigning, 3.4

with blank spaces, 2.3

with international characters, 2.3

nested lists, 4.3

nolist option

indices function, 4.4

nprintf command, 10.5

numelems command, 4.3

numeric types, 7.2

O

object oriented programming

class

creating new, 9.3

introduction, 9.2

members

definition, 9.2

methods, 9.4

calling, 9.4

static vs non-static, 9.4

modules

definition, 9.2

objects, 9.3

definition, 9.2

indexed function calls, 9.4

special methods, 9.4

op command, 2.7 , 4.3 , 4.3

OpenMaple, 14.3

operators

&, 3.13

.., 3.13

:-, 3.7

::, 3.13

@, 3.13

@@, 3.13

addition, 3.9

arithmetic, 1.3

binary, 2.3

division, 3.9

element-wise, 2.3

if, 5.6

in, 3.12

intersect, 3.12

member selection, 3.7

multiplication, 3.9

set-theoretic, 3.12

subtraction, 3.9

unary, 2.3

union, 3.12

P

packages, 8.4 , 11.2

exports, 11.2

organizing, 11.4

saving, 11.3

packed records, 4.6

parallel programming

mutex, 15.3

sharing data, 15.3

parameter

definition, 6.1

plot library, 12.3

combining plots, 12.3

generating plot array, 12.3

merging plots, 12.3

generating plots, 12.3

expression and operator forms, 12.3

parametric form, 12.3

other packages, 12.3

plotting points, 12.3

plotting polygons, 12.3

specialty plots, 12.3

text on plots, 12.3

plot structures

altering, 12.5

creating, 12.5

plots

animate command, 12.7

generating, 12.2

programming with, 12.4

plots:-animate command, 12.7

prettyprinting, 10.3

print

defining custom printing, 10.3

printf command, 10.5

procedure call, 1.4

procedure definition, 1.4

procedures

adding comments, 1.4

declaring parameters

parameter modifiers, 6.3

defining, 1.4

invocation, 1.4

maintainable code, 6.8

adding comments, 6.8

formatting procedures for readability, 6.8

options

cache, 6.5

syntax, 1.4

programming

with plots, 12.4

protected names, 3.3

Q

queues

creating, 4.6

dequeue, 4.6

enqueue, 4.6

quit statement, 5.8

quotes

double, 1.3 , 2.5

left single, 2.3

right single, 2.6

R

rational numbers, 7.2

Re command, 3.5

read statement, 5.8

records, 8.5

creating, 4.6

equality, 4.6

remember tables, appendix1.4

restart command, 1.5

return statement, 5.6

right single quotes

delaying evaluation, 2.6

rtables, 4.4

S

save statement, 5.8

scanf command, 10.5

selection operation, 4.3 , 4.4 , 8.4

semicolon, 1.3 , 2.6 , 5.3

separating statements, 2.6

sequence, 2.6

setattribute command, 3.14

sets, 2.6 , 4.3

accessing data stored in, 4.3

arithmetic, 4.3

SFloat

constructor, 3.5

simplifying expressions, 3.15

sort command, 4.3

specfunc type, 3.15

special characters, 2.2

special methods, 9.4

ModuleApply, 9.4

ModuleCopy, 9.4

ModuleDeconstruct, 9.4

ModuleIterator, 9.4

ModuleLoad, 9.4

ModulePrint, 9.4

ModuleType, 9.4

ModuleUnload, 9.4

sprintf command, 10.5

square brackets, 2.6

and braces, 2.6

sscanf command, 10.5

stacks

creating, 4.6

popping, 4.6

pushing, 4.6

strings, 1.3 , 2.5

concatenation, 2.5

length, 2.5

mutability, 2.5

parsing, 2.5

searching, 2.5

StringTools package, 10.6

StringTools:-StringBuffer command, 2.5

structured types, 2.7 , 3.15

sub-Array access, 4.4

subexpressions

substituting, 3.15

subs command, 3.15

difference between eval and subs, 3.15

subsindets command, 3.15

subsop command, 3.15

substituting subexpressions, 3.15

substrings

extracting, 2.5

T

table indexing, 4.4

tables

applying a function to contents, 4.4

checking index, 4.4

copying, 4.4

creating, 4.4

evaluation rules, 4.4

extracting data, 4.4

getting number of elements, 4.4

removing an element from, 4.4

text component

parsing strings from, 13.2

true false FAIL, 3.10

try statement, 5.6

type checking, 2.7

type command, 3.3

typeset math, 10.7

typesetting package, 10.7

U

undefined, 7.2

unevaluation quotes, 2.6 , 3.4

union operator, 3.12

until loops, 5.6

use statement, 8.6

V

Vector

creating, 2.6

viewing help pages, 1.3

W

white space characters, 2.6

workbook files, 10.4

worksheet files, 10.4

worksheet input and output

interactive input, 10.3

interactive output, 10.3

interfaces, 10.3

Contents


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