Function Index (GNU Emacs Calc Manual)

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Index of Algebraic Functions ¶

This is a list of built-in functions and operators usable in algebraic expressions. Their full Lisp names are derived by adding the prefix ‘calcFunc-’, as in calcFunc-sqrt.

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_
	Index Entry	Section

	`_`	Extracting Elements

-
	`-`	Basic Arithmetic

:
	`:`	Logical Operations
	`::`	Other Features of Rewrite Rules
	`:=`	Evaluates-To Operator

!
	`!`	Combinatorial Functions
	`!`	Logical Operations
	`!!`	Combinatorial Functions
	`!!!`	Other Features of Rewrite Rules
	`!=`	Logical Operations

?
	`?`	Logical Operations

*
	`*`	Basic Arithmetic

/
	`/`	Basic Arithmetic

\
	`\`	Basic Arithmetic

&
	`&&`	Logical Operations
	`&&&`	Other Features of Rewrite Rules

%
	`%`	Basic Arithmetic
	`%`	Percentages

^
	`^`	Basic Arithmetic

+
	`+`	Basic Arithmetic
	`+/-`	Error Forms

<
	`<`	Logical Operations
	`<=`	Logical Operations

=
	`=`	Logical Operations
	`==`	Logical Operations
	`=>`	Evaluates-To Operator

>
	`>`	Logical Operations
	`>=`	Logical Operations

\|
	`\|`	Building Vectors
	`\|\|`	Logical Operations
	`\|\|\|`	Other Features of Rewrite Rules

A
	`abs`	Basic Arithmetic
	`abs (vectors)`	Vector and Matrix Arithmetic
	`abssqr`	Basic Arithmetic
	`accum`	Reducing
	`acute`	TeX and LaTeX Language Modes
	`Acute`	TeX and LaTeX Language Modes
	`add`	Specifying Operators
	`afixp`	Nesting and Fixed Points
	`agmean`	Single-Variable Statistics
	`alog`	Logarithmic Functions
	`an`	Multiple Solutions
	`and`	Binary Functions
	`anest`	Nesting and Fixed Points
	`apart`	Polynomials
	`append`	Building Vectors
	`apply`	Reducing and Mapping
	`apply (rewrites)`	Other Features of Rewrite Rules
	`arccos`	Trigonometric and Hyperbolic Functions
	`arccosh`	Trigonometric and Hyperbolic Functions
	`arcsin`	Trigonometric and Hyperbolic Functions
	`arcsincos`	Trigonometric and Hyperbolic Functions
	`arcsinh`	Trigonometric and Hyperbolic Functions
	`arctan`	Trigonometric and Hyperbolic Functions
	`arctan2`	Trigonometric and Hyperbolic Functions
	`arctanh`	Trigonometric and Hyperbolic Functions
	`arg`	Complex Number Functions
	`arrange`	Manipulating Vectors
	`as`	Multiple Solutions
	`ash`	Binary Functions
	`assign`	Evaluates-To Operator
	`asum`	Summations

B
	`badd`	Business Days
	`bar`	TeX and LaTeX Language Modes
	`Bar`	TeX and LaTeX Language Modes
	`bcount`	Bit Counting Example
	`bern`	Combinatorial Functions
	`besJ`	Advanced Math Functions
	`besY`	Advanced Math Functions
	`beta`	Advanced Math Functions
	`betaB`	Advanced Math Functions
	`betaI`	Advanced Math Functions
	`breve`	TeX and LaTeX Language Modes
	`Breve`	TeX and LaTeX Language Modes
	`bstring`	Strings
	`bsub`	Business Days

C
	`call`	Specifying Operators
	`cascent`	Information about Compositions
	`cbase`	Vertical Compositions
	`cbbase`	Vertical Compositions
	`cbspace`	Other Compositions
	`cdescent`	Information about Compositions
	`ceil`	Integer Truncation
	`cflat`	Other Compositions
	`check`	TeX and LaTeX Language Modes
	`Check`	TeX and LaTeX Language Modes
	`cheight`	Information about Compositions
	`choose`	Combinatorial Functions
	`choriz`	Horizontal Compositions
	`clean`	Conversions
	`clip`	Binary Functions
	`clvert`	Vertical Compositions
	`cnorm`	Vector and Matrix Arithmetic
	`collect`	Polynomials
	`condition`	Other Features of Rewrite Rules
	`conj`	Complex Number Functions
	`cons`	Building Vectors
	`cons (rewrites)`	Other Features of Rewrite Rules
	`constant`	Logical Operations
	`cos`	Trigonometric and Hyperbolic Functions
	`cosh`	Trigonometric and Hyperbolic Functions
	`cot`	Trigonometric and Hyperbolic Functions
	`coth`	Trigonometric and Hyperbolic Functions
	`cprec`	Composition Basics
	`cross`	Vector and Matrix Arithmetic
	`crule`	Vertical Compositions
	`crvert`	Vertical Compositions
	`csc`	Trigonometric and Hyperbolic Functions
	`csch`	Trigonometric and Hyperbolic Functions
	`cspace`	Other Compositions
	`csub`	Other Compositions
	`csup`	Other Compositions
	`ctbase`	Vertical Compositions
	`ctrn`	Vector and Matrix Arithmetic
	`ctspace`	Other Compositions
	`curve`	Composing Patterns in Rewrite Rules
	`cvec`	Building Vectors
	`cvert`	Vertical Compositions
	`cvspace`	Other Compositions
	`cwidth`	Information about Compositions

D
	`date`	Date Conversions
	`day`	Date Functions
	`dbfield`	Logarithmic Units
	`dbpower`	Logarithmic Units
	`ddb`	Depreciation Functions
	`ddddot`	TeX and LaTeX Language Modes
	`dddot`	TeX and LaTeX Language Modes
	`decr`	Basic Arithmetic
	`deg`	Conversions
	`deriv`	Differentiation
	`det`	Vector and Matrix Arithmetic
	`deven`	Functions for Declarations
	`dfact`	Combinatorial Functions
	`diag`	Building Vectors
	`diff`	Binary Functions
	`dimag`	Functions for Declarations
	`dint`	Functions for Declarations
	`div`	Specifying Operators
	`dnatnum`	Functions for Declarations
	`dneg`	Functions for Declarations
	`dnonneg`	Functions for Declarations
	`dnonzero`	Functions for Declarations
	`dnumint`	Functions for Declarations
	`dodd`	Functions for Declarations
	`dot`	TeX and LaTeX Language Modes
	`Dot`	TeX and LaTeX Language Modes
	`dotdot`	TeX and LaTeX Language Modes
	`DotDot`	TeX and LaTeX Language Modes
	`dpos`	Functions for Declarations
	`drange`	Functions for Declarations
	`drat`	Functions for Declarations
	`dreal`	Functions for Declarations
	`dsadj`	Time Zones
	`dscalar`	Functions for Declarations
	`dyad`	TeX and LaTeX Language Modes

E
	`efit`	Error Estimates for Fits
	`egcd`	Combinatorial Functions
	`Ei`	Customizing the Integrator
	`elim`	Solving Systems of Equations
	`ends`	Composing Patterns in Rewrite Rules
	`eq`	Logical Operations
	`erf`	Advanced Math Functions
	`erfc`	Advanced Math Functions
	`esimplify`	Unsafe Simplifications
	`euler`	Combinatorial Functions
	`eval`	Other Features of Rewrite Rules
	`evalextsimp`	Other Features of Rewrite Rules
	`evalsimp`	Other Features of Rewrite Rules
	`evalto`	Evaluates-To Operator
	`evalv`	Algebraic Manipulation
	`evalvn`	Algebraic Manipulation
	`exp`	Logarithmic Functions
	`exp10`	Logarithmic Functions
	`expand`	Polynomials
	`expm1`	Logarithmic Functions

F
	`fact`	Combinatorial Functions
	`factor`	Polynomials
	`factors`	Polynomials
	`fceil`	Integer Truncation
	`fdiv`	Basic Arithmetic
	`ffinv`	Multiple Solutions
	`ffloor`	Integer Truncation
	`fib`	Rewrites Tutorial
	`find`	Manipulating Vectors
	`finv`	Multiple Solutions
	`fit`	Linear Fits
	`fitdummy`	Curve Fitting Details
	`fitmodel`	Curve Fitting Details
	`fitparam`	Curve Fitting Details
	`fitsystem`	Curve Fitting Details
	`fitvar`	Curve Fitting Details
	`fixp`	Nesting and Fixed Points
	`float`	Conversions
	`floor`	Integer Truncation
	`frac`	Conversions
	`freq`	Musical Notes
	`fround`	Integer Truncation
	`frounde`	Integer Truncation
	`froundu`	Integer Truncation
	`fsolve`	Multiple Solutions
	`ftrunc`	Integer Truncation
	`fv`	Future Value
	`fvb`	Future Value
	`fvl`	Future Value

G
	`gamma`	Advanced Math Functions
	`gammag`	Advanced Math Functions
	`gammaG`	Advanced Math Functions
	`gammaP`	Advanced Math Functions
	`gammaQ`	Advanced Math Functions
	`gcd`	Combinatorial Functions
	`geq`	Logical Operations
	`getdiag`	Extracting Elements
	`gpoly`	Decomposing Polynomials
	`grade`	Manipulating Vectors
	`grave`	TeX and LaTeX Language Modes
	`Grave`	TeX and LaTeX Language Modes
	`gt`	Logical Operations

H
	`hasfitparams`	Curve Fitting Details
	`hasfitvars`	Curve Fitting Details
	`hat`	TeX and LaTeX Language Modes
	`Hat`	TeX and LaTeX Language Modes
	`head`	Building Vectors
	`histogram`	Manipulating Vectors
	`hms`	Conversions
	`holiday`	Business Days
	`hour`	Date Functions
	`hypot`	Basic Arithmetic

I
	`idiv`	Basic Arithmetic
	`idn`	Building Vectors
	`ierf`	Other Features of Rewrite Rules
	`if`	Logical Operations
	`ilog`	Logarithmic Functions
	`im`	Complex Number Functions
	`import`	Other Features of Rewrite Rules
	`in`	Logical Operations
	`incmonth`	Date Functions
	`incr`	Basic Arithmetic
	`incyear`	Date Functions
	`index`	Building Vectors
	`inner`	Generalized Products
	`integ`	Integration
	`integer`	Logical Operations
	`intv`	Interval Forms
	`inv`	Basic Arithmetic
	`inv (matrices)`	Vector and Matrix Arithmetic
	`irr`	Related Financial Functions
	`irrb`	Related Financial Functions
	`islin`	Logical Operations
	`islinnt`	Logical Operations
	`isqrt`	Basic Arithmetic
	`istrue`	Logical Operations
	`iterations`	Nested Formulas with Rewrite Rules

J
	`julian`	Date Conversions

K
	`kron`	Vector and Matrix Arithmetic

L
	`lambda`	Specifying Operators
	`land`	Logical Operations
	`lcm`	Combinatorial Functions
	`leq`	Logical Operations
	`let`	Other Features of Rewrite Rules
	`lin`	Logical Operations
	`linnt`	Logical Operations
	`ln`	Logarithmic Functions
	`lnot`	Logical Operations
	`lnp1`	Logarithmic Functions
	`log`	Logarithmic Functions
	`log10`	Logarithmic Functions
	`lor`	Logical Operations
	`lsh`	Binary Functions
	`lt`	Logical Operations
	`ltpb`	Probability Distribution Functions
	`ltpc`	Probability Distribution Functions
	`ltpf`	Probability Distribution Functions
	`ltpn`	Probability Distribution Functions
	`ltpp`	Probability Distribution Functions
	`ltpt`	Probability Distribution Functions
	`lud`	Vector and Matrix Arithmetic
	`lufadd`	Logarithmic Units
	`lufdiv`	Logarithmic Units
	`lufmul`	Logarithmic Units
	`lufquant`	Logarithmic Units
	`lufsub`	Logarithmic Units
	`lupadd`	Logarithmic Units
	`lupdiv`	Logarithmic Units
	`lupmul`	Logarithmic Units
	`lupquant`	Logarithmic Units
	`lupsub`	Logarithmic Units

M
	`makemod`	Modulo Forms
	`mant`	Basic Arithmetic
	`map`	Mapping
	`mapa`	Mapping
	`mapc`	Mapping
	`mapd`	Mapping
	`mapeq`	Algebraic Manipulation
	`mapeqp`	Algebraic Manipulation
	`mapeqr`	Algebraic Manipulation
	`mapr`	Mapping
	`match`	Matching Commands
	`matches`	Matching Commands
	`matchnot`	Matching Commands
	`max`	Basic Arithmetic
	`maximize`	Minimization
	`mcol`	Extracting Elements
	`mdims`	Manipulating Vectors
	`midi`	Musical Notes
	`min`	Basic Arithmetic
	`minimize`	Minimization
	`minute`	Date Functions
	`mod`	Specifying Operators
	`mod (operator)`	Modulo Forms
	`moebius`	Combinatorial Functions
	`month`	Date Functions
	`mrcol`	Extracting Elements
	`mrow`	Extracting Elements
	`mrrow`	Extracting Elements
	`mul`	Specifying Operators
	`mysin`	Sine Example

N
	`neg`	Specifying Operators
	`negative`	Logical Operations
	`neq`	Logical Operations
	`nest`	Nesting and Fixed Points
	`newmonth`	Date Functions
	`newweek`	Date Functions
	`newyear`	Date Functions
	`nextprime`	Combinatorial Functions
	`ninteg`	Numerical Integration
	`nonvar`	Logical Operations
	`not`	Binary Functions
	`now`	Date Functions
	`nper`	Related Financial Functions
	`nperb`	Related Financial Functions
	`nperl`	Related Financial Functions
	`npfield`	Logarithmic Units
	`nppower`	Logarithmic Units
	`npv`	Present Value
	`npvb`	Present Value
	`nrat`	Polynomials
	`nroot`	Basic Arithmetic
	`nterms`	Rewrites Answer 5

O
	`opt`	Other Features of Rewrite Rules
	`or`	Binary Functions
	`outer`	Generalized Products

P
	`pack`	Packing and Unpacking
	`pand`	Other Features of Rewrite Rules
	`pclean`	Conversions
	`pcont`	Decomposing Polynomials
	`pdeg`	Decomposing Polynomials
	`pdiv`	Polynomials
	`pdivide`	Polynomials
	`pdivrem`	Polynomials
	`percent`	Percentages
	`perm`	Combinatorial Functions
	`pfloat`	Conversions
	`pfrac`	Conversions
	`pgcd`	Polynomials
	`phase`	Multi-Phase Rewrite Rules
	`plain`	Other Features of Rewrite Rules
	`plead`	Decomposing Polynomials
	`pmt`	Related Financial Functions
	`pmtb`	Related Financial Functions
	`pnot`	Other Features of Rewrite Rules
	`polar`	Conversions
	`polint`	Interpolation
	`poly`	Decomposing Polynomials
	`por`	Other Features of Rewrite Rules
	`pow`	Specifying Operators
	`pprim`	Decomposing Polynomials
	`prem`	Polynomials
	`prevprime`	Combinatorial Functions
	`prfac`	Combinatorial Functions
	`Prime`	TeX and LaTeX Language Modes
	`prime`	Combinatorial Functions
	`prod`	Summations
	`pv`	Present Value
	`pvb`	Present Value
	`pvl`	Present Value
	`pwday`	Date Functions

Q
	`quote`	Other Features of Rewrite Rules

R
	`raccum`	Reducing
	`rad`	Conversions
	`random`	Random Numbers
	`rash`	Binary Functions
	`rate`	Related Financial Functions
	`rateb`	Related Financial Functions
	`ratel`	Related Financial Functions
	`ratint`	Interpolation
	`rcons`	Building Vectors
	`rcons (rewrites)`	Other Features of Rewrite Rules
	`rdup`	Set Operations
	`re`	Complex Number Functions
	`real`	Logical Operations
	`rect`	Conversions
	`reduce`	Reducing
	`reducea`	Reducing
	`reducec`	Reducing
	`reduced`	Reducing
	`reducer`	Reducing
	`refers`	Logical Operations
	`relch`	Percentages
	`remember`	Other Features of Rewrite Rules
	`rev`	Manipulating Vectors
	`rewrite`	Rewrite Rules
	`rgrade`	Manipulating Vectors
	`rhead`	Building Vectors
	`rmeq`	Logical Operations
	`rms`	Single-Variable Statistics
	`rnorm`	Vector and Matrix Arithmetic
	`root`	Root Finding
	`roots`	Multiple Solutions
	`rot`	Binary Functions
	`round`	Integer Truncation
	`rounde`	Integer Truncation
	`roundu`	Integer Truncation
	`rreduce`	Reducing
	`rreducea`	Reducing
	`rreducec`	Reducing
	`rreduced`	Reducing
	`rreducer`	Reducing
	`rsh`	Binary Functions
	`rsort`	Manipulating Vectors
	`rsubvec`	Extracting Elements
	`rtail`	Building Vectors

S
	`scf`	Basic Arithmetic
	`schedule`	Multi-Phase Rewrite Rules
	`sdev`	Error Forms
	`sec`	Trigonometric and Hyperbolic Functions
	`sech`	Trigonometric and Hyperbolic Functions
	`second`	Date Functions
	`select`	Other Features of Rewrite Rules
	`seq`	Rewrites Answer 4
	`shuffle`	Random Numbers
	`Si`	Programming Tutorial
	`sign`	Basic Arithmetic
	`simplify`	Simplifying Formulas
	`sin`	Trigonometric and Hyperbolic Functions
	`sincos`	Trigonometric and Hyperbolic Functions
	`sinh`	Trigonometric and Hyperbolic Functions
	`sln`	Depreciation Functions
	`solve`	Solving Equations
	`sort`	Manipulating Vectors
	`spn`	Musical Notes
	`sqr`	Scientific Functions
	`sqrt`	Basic Arithmetic
	`stir1`	Combinatorial Functions
	`stir2`	Combinatorial Functions
	`string`	Strings
	`sub`	Specifying Operators
	`subscr`	Extracting Elements
	`subst`	Algebraic Manipulation
	`subvec`	Extracting Elements
	`sum`	Summations
	`syd`	Depreciation Functions

T
	`table`	Summations
	`tail`	Building Vectors
	`tan`	Trigonometric and Hyperbolic Functions
	`tanh`	Trigonometric and Hyperbolic Functions
	`taylor`	Taylor Series
	`tderiv`	Differentiation
	`thecoefs`	Polynomials
	`thefactors`	Polynomials
	`tilde`	TeX and LaTeX Language Modes
	`Tilde`	TeX and LaTeX Language Modes
	`time`	Date Functions
	`totient`	Combinatorial Functions
	`tr`	Vector and Matrix Arithmetic
	`trn`	Manipulating Vectors
	`trunc`	Integer Truncation
	`typeof`	Logical Operations
	`tzconv`	Date Conversions
	`tzone`	Time Zones

U
	`under`	TeX and LaTeX Language Modes
	`unixtime`	Date Conversions
	`unpack`	Packing and Unpacking
	`unpackt`	Packing and Unpacking
	`usimplify`	Basic Operations on Units
	`utpb`	Probability Distribution Functions
	`utpc`	Probability Distribution Functions
	`utpf`	Probability Distribution Functions
	`utpn`	Probability Distribution Functions
	`utpp`	Probability Distribution Functions
	`utpt`	Probability Distribution Functions

V
	`variable`	Logical Operations
	`vcard`	Set Operations
	`vcompl`	Set Operations
	`vconcat`	Specifying Operators
	`vcorr`	Paired-Sample Statistics
	`vcount`	Single-Variable Statistics
	`vcov`	Paired-Sample Statistics
	`vdiff`	Set Operations
	`vec`	Vectors and Matrices
	`Vec`	TeX and LaTeX Language Modes
	`VEC`	TeX and LaTeX Language Modes
	`venum`	Set Operations
	`vexp`	Manipulating Vectors
	`vflat`	Single-Variable Statistics
	`vfloor`	Set Operations
	`vgmean`	Single-Variable Statistics
	`vhmean`	Single-Variable Statistics
	`vint`	Set Operations
	`vlen`	Manipulating Vectors
	`vmask`	Manipulating Vectors
	`vmatches`	Matching Commands
	`vmax`	Single-Variable Statistics
	`vmean`	Single-Variable Statistics
	`vmeane`	Single-Variable Statistics
	`vmedian`	Single-Variable Statistics
	`vmin`	Single-Variable Statistics
	`vpack`	Set Operations
	`vpcov`	Paired-Sample Statistics
	`vprod`	Single-Variable Statistics
	`vpsdev`	Single-Variable Statistics
	`vpvar`	Single-Variable Statistics
	`vsdev`	Single-Variable Statistics
	`vspan`	Set Operations
	`vsum`	Single-Variable Statistics
	`vunion`	Set Operations
	`vunpack`	Set Operations
	`vvar`	Single-Variable Statistics
	`vxor`	Set Operations

W
	`weekday`	Date Functions
	`wmaximize`	Minimization
	`wminimize`	Minimization
	`wroot`	Root Finding

X
	`xfit`	Error Estimates for Fits
	`xor`	Binary Functions
	`xpon`	Basic Arithmetic
	`xy`	Basic Graphics
	`xyz`	Three Dimensional Graphics

Y
	`year`	Date Functions
	`yearday`	Date Functions

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