MATLAB 内置符号运算函数

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目录

MuPAD Language Fundamentals ...................................................................................................... 1 Operators and Elementary Operations ............................................................................................. 1 Special Values .................................................................................................................................... 2 Data Types ......................................................................................................................................... 2 Equation Solving ................................................................................................................................ 6 Formula Manipulation and Simplification ......................................................................................... 8 Calculus ........................................................................................................................................... 10 Linear Algebra ................................................................................................................................. 12 Polynomial Algebra ......................................................................................................................... 16 Mathematical Constants and Functions .......................................................................................... 18 Special Functions ............................................................................................................................. 20 Numbers and Precision ................................................................................................................... 22 Supported Distributions .................................................................................................................. 23 Number Theory ............................................................................................................................... 26 Graph Theory .................................................................................................................................. 29 2-D and 3-D Plots ............................................................................................................................ 31 Annotations and Appearance ......................................................................................................... 31 Programming Basics ........................................................................................................................ 32 Data and File Management ............................................................................................................. 32 Advanced Software Development .................................................................................................. 33 Domains .......................................................................................................................................... 36 Notebook Interface ......................................................................................................................... 36

MuPAD (details)

MuPAD Language Fundamentals

Entering Commands :=;

Assign variables Statement sequences

aliasDefines an abbreviation or a macro

unaliasdelete

Deletes an alias-definition

anames

Identifiers that have values or properties Delete the value of an identifier

freeIndetsgenidenthelp...

Free indeterminates of an expression Create an unused identifier Display a help page

Convert to a floating-point interval Identity map

Indeterminates of an expression

id

indets

_index

Indexed access

indexvalinfolast

Indexed access to arrays and tables without evaluation Prints short information

Access a previously computed object Re-initialize a session Physical units Value of an object Reserved word

resetunitval

quit

share

Create a unique data representation

Operators and Elementary Operations

Arithmetic Operations _invert

Reciprocal of an expression

_subtractappend

Subtract expressions Add elements to a list Cardinality of a set

Test if an entry exists in a container

1

Set Operations card

contains

in

Membership

intersectminusunion

Intersection of sets and/or intervals Difference of sets and/or intervals Union of sets and/or intervals

Revert polynomials, lists, character strings and tables, invert series expansions

revert

universezip

Set-theoretical universe Combine lists

Generates an n-ary associative operator from a binary one

Expression Trees and Precedence misc::genassop

Special Values

FAILNIL

Indicate a failed computation

Singleton element of the domain DOM_NIL Generate the void object of type DOM_NULL

null

TRUEBoolean constant TRUE

FALSEBoolean constant FALSE

UNKNOWNundefined

Boolean constant UNKNOWN Undefined value

solvelib::BasicSetC_

Basic infinite sets Complex numbers Real numbers

R_Z_

Q_

Rational numbers Integers Positive integers

N_

Data Types

Data Structures

Common Operations .

Concatenate objects

..Range operator

assignPerform assignments given as equations

assignElementslengthmatch

Assign values to entries of an array, a list, or a table The \Pattern matching

2

nopsop

Number of operands Operands of an object

piecewiseselectsplit

Domain of conditionally defined objects Select operands Split an object

Compare objects according to the internal order Create a table

sysordertable

numeric::indetsprog::exprtreeprog::find

Search for indeterminates Visualize an expression as tree Find operands of objects Sort objects by an index function Insert an element into a list

prog::sort

Operations on Lists listlib::insert

listlib::insertAt

Insert an element into a list at a given position Merging two ordered lists

listlib::merge

listlib::removeDuplicateslistlib::setDifference

Removes duplicate entries

listlib::removeDupSortedlistlib::singleMergelistlib::sublistpoly2listsort

Remove duplicates of any element from ordered lists Remove elements from a list

Merging of two ordered lists without duplicates Search sublists Sort a numerical list

Convert a polynomial to a list of terms Sort a list

Split a character string into a list of substrings

numeric::sort

text2list

Operations on Strings

stringlib::collapseWhitespaceCollapse whitespace in strings

stringlib::containsstringlib::format

Test for substring Formatting a string

Convert a floating-point number to a string

stringlib::formatfstringlib::lowerstringlib::orderstringlib::pos

stringlib::formatTime

Textual description of a time length Convert to lower-case

Mask regular expression special characters Sorting procedure for Sort Position of a substring Create a random string

stringlib::maskMeta

stringlib::random

stringlib::readTextstringlib::removestringlib::split

Reading text file Delete substrings Split a string

Substitution in a string

3

stringlib::subs

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