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.

• !: Logical Operations
• !: Combinatorial Functions
• !!: Combinatorial Functions
• !!!: Other Features of Rewrite Rules
• !=: Logical Operations
• %: Percentages
• %: Basic Arithmetic
• &&: Logical Operations
• &&&: Other Features of Rewrite Rules
• *: Basic Arithmetic
• +: Basic Arithmetic
• +/-: Error Forms
• -: Basic Arithmetic
• /: Basic Arithmetic
• :: Logical Operations
• ::: Other Features of Rewrite Rules
• :=: Evaluates-To Operator
• <: Logical Operations
• <=: Logical Operations
• =: Logical Operations
• ==: Logical Operations
• =>: Evaluates-To Operator
• >: Logical Operations
• >=: Logical Operations
• ?: Logical Operations
• \: Basic Arithmetic
• ^: Basic Arithmetic
• _: Extracting Elements
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• julian: Date Conversions
• kron: Vector and Matrix Arithmetic
• 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
• 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
• 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
• opt: Other Features of Rewrite Rules
• or: Binary Functions
• outer: Generalized Products
• 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: Combinatorial Functions
• Prime: TeX and LaTeX Language Modes
• prod: Summations
• pv: Present Value
• pvb: Present Value
• pvl: Present Value
• pwday: Date Functions
• quote: Other Features of Rewrite Rules
• 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
• 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
• 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
• 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
• 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
• 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: TeX and LaTeX Language Modes
• Vec: TeX and LaTeX Language Modes
• vec: Vectors and Matrices
• 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
• weekday: Date Functions
• wmaximize: Minimization
• wminimize: Minimization
• wroot: Root Finding
• xfit: Error Estimates for Fits
• xor: Binary Functions
• xpon: Basic Arithmetic
• xy: Basic Graphics
• xyz: Three Dimensional Graphics
• year: Date Functions
• yearday: Date Functions
• |: Building Vectors
• ||: Logical Operations
• |||: Other Features of Rewrite Rules