Find Linear Function linearfunction(x1, y1, x2, y2) Finds the linear function for the straight line between two distinct points. x1: a free value y1: a free value x2: a free value y2: a free value Product product(Factor expression, Lower limit (i), Upper limit (n)[, Index variable]) ΠCorresponds to the product symbol. Multiplies factors for each x ranging from the lower to the upper limit. Factor expression: a free value Lower limit (i): an integer Upper limit (n): an integer Index variable: an unknown variable/symbol (optional, default: x) "Upper limit (n)" >= "Lower limit (i)" Solve equation solve(Equation[, With respect to]) Equation: a free value With respect to: an unknown variable/symbol (optional, default: x) Solve for multiple variables multisolve(Equation vector, Variable vector) Equation vector: a vector Variable vector: a vector with an unknown variable/symbol, ... dimension("Equation vector")=dimension("Variable vector") Solve for two variables solve2(Equation 1, Equation 2[, Variable 1][, Variable 2]) Solves two equations with two unknown variables. Returns the value of the first variable. Equation 1: a free value Equation 2: a free value Variable 1: an unknown variable/symbol (optional, default: x) Variable 2: an unknown variable/symbol (optional, default: y) Sum sum(Term expression, Lower limit (i), Upper limit (n)[, Index variable]) ΣCorresponds to the sum symbol. Adds terms for each x ranging from the lower to the upper limit. Term expression: a free value Lower limit (i): an integer Upper limit (n): an integer Index variable: an unknown variable/symbol (optional, default: x) "Upper limit (n)" >= "Lower limit (i)" Beta Function beta(argument 1, argument 2) 1: an integer 2: an integer Gamma Function gamma(argument 1) 1: a number Imaginary Part im(Complex number) Complex number: a number Real Part re(Complex number) Complex number: a number Derive diff(Function[, With respect to][, Order]) Function: a free value With respect to: an unknown variable/symbol (optional, default: x) Order: an integer >= 1 (optional, default: 1) Extreme Values extremum(Function[, With respect to]) Function: a free value With respect to: an unknown variable/symbol (optional, default: x) Integrate integrate(Function[, Variable of integration][, Lower limit][, Upper limit]) Function: a free value Variable of integration: an unknown variable/symbol (optional, default: x) Lower limit: a free value (optional, default: undefined) Upper limit: a free value (optional, default: undefined) Binomial Coefficient binomial(Exponent, Index) Exponent: an integer >= 1 Index: an integer >= 0 "Exponent">="Index" Combinations comb(Objects, Size) Returns the number of possible arrangements of an unordered list with a number of objects to choose from and a list size. If there are three objects (1, 2 and 3) that is put in a list with place for two, the alternatives are [1, 2], [1, 3], and [2, 3], and thus the number of combinations is 3. Objects: a free value Size: a free value Derangements derangements(Number of elements) Returns the number of possible rearrangements of an ordered list, of a certain size, where none of the objects are on their original position. If the original list is [1, 2, 3], the possible derangements is [2, 3, 1] and [3, 1, 2], and thus the number of derangements is 2. Number of elements: an integer >= 1 Double Factorial factorial2(Value) Calculates the doublefactorial of an integer. Mulitplies the argument with every second lesser positive integer (n(n-2)(n-4)...). Can also be entered as a number followed by two exclamation marks.ex. factorial2(5) = 5!! = 5 * 3 * 1 = 15 Value: an integer >= -1 Factorial factorial(Value) Calculates the factorial of an integer. Mulitplies the argument with every lesser positive integer (n(n-1)(n-2)...2*1). Can also be entered as a number followed by one exclamation mark.ex. factorial(5) = 5! = 5 * 4 * 3 * 2 * 1 = 120 Value: an integer Hyperfactorial hyperfactorial(Value) Calculates the hyperfactorial of an integer. Mulitplies the argument raised by itself with every lesser positive integer raised by themselves (1^1 * 2^2 ... n^n). ex. hyperfactorial(3) = (3^3) * (2^2) * (1^1) = 108 Value: an integer >= 1 Multifactorial multifactorial(Value, Factorial) Calculates the multifactorial of an integer. Mulitplies the argument with every x lesser positive integer (n(n-x)(n-2x)...). Can also be entered as a number followed by three or more exclamation marks.ex. multifactorial(18, 4) = 18!!!! = 18 * 14 * 10 * 6 * 2 = 30 240 Value: an integer >= 0 Factorial: an integer >= 1 Permutations perm(Objects, Size) Returns the number of possible arrangements of an ordered list with a number of objects to choose from and a list size. If there are three objects (1, 2 and 3) that is put in a list with two positions, the alternatives are [1, 2], [2, 1], [1, 3], [3, 1], [2, 3] and [3, 2], and thus the number of permutations is 6. Objects: a free value Size: a free value Superfactorial superfactorial(Value) Calculates the superfactorial of an integer. Mulitplies the factorial of the argument with the factorial of every lesser positive integer (1! * 2! ... n!). ex. superfactorial(5) = 5! * 4! * 3! * 2! * 1! = 34 560 Value: an integer >= 0 Elements atom(Element[, Property]) Retrieves data from the Elements data set for a given object and property. If "info" is typed as property, all properties of the object will be listed. Element: an object from "Elements" (use symbol, number, or name) Property: name of a data property (symbol, number, name, class, or weight) (optional, default: info) Symbol: symbol (key) Number: number (key) Name: name (key) Classification: classA number representing an element group:1 Alkali Metal2 Alkaline-Earth Metal3 Lanthanide4 Actinide5 Transition Metal6 Metal7 Metalloid8 Non-Metal9 Halogen10 Noble Gas11 Transactinide Weight: weight, mass Planets planet(Planet[, Property]) Retrieves data from the Planets data set for a given object and property. If "info" is typed as property, all properties of the object will be listed.This data uses material from the Wikipedia articles"Earth" (http://www.wikipedia.org/wiki/Earth),"Jupiter (planet)" (http://www.wikipedia.org/wiki/Jupiter_(planet)),"Mars (planet)" (http://www.wikipedia.org/wiki/Mars_(planet)),"Mercury (planet)" (http://www.wikipedia.org/wiki/Mercury_(planet)),"Neptune (planet)" (http://www.wikipedia.org/wiki/Neptune_(planet)),"Pluto (planet)" (http://www.wikipedia.org/wiki/Pluto_(planet)),"Saturn (planet)" (http://www.wikipedia.org/wiki/Saturn_(planet)),"Uranus (planet)" (http://www.wikipedia.org/wiki/Uranus_(planet)), and"Venus (planet)" (http://en.wikipedia.org/wiki/Venus_(planet)),licensed under the GNU Free Documentation License (http://www.gnu.org/copyleft/fdl.html) Planet: an object from "Planets" (use name) Property: name of a data property (name, year, speed, eccentricity, inclination, satellites, mass, density, area, gravity, or temperature) (optional, default: info) Name: name (key) Orbital Period (Year): year Average Orbital Speed: speed Eccentricity: eccentricity Inclination: inclination Number of Satellites: satellites Mass: mass Mean Density: density Surface Area: area Equatorial Gravity: gravity Mean Surface Temperature: temperature Current Time time() Date to Unix Timestamp timestamp([Date]) Date: a date (optional, default: now) Day of Month day([Date]) Date: a date (optional, default: today) Day of Week weekday([Date][, Week begins on Sunday]) Date: a date (optional, default: today) Week begins on Sunday: a boolean (0 or 1) (optional, default: 0) Day of Year yearday([Date]) Date: a date (optional, default: today) Days between two dates days(First date, Second date[, Day counting basis][, Financial function mode]) Returns the number of days between two dates.Basis is the type of day counting you want to use: 0: US 30/360, 1: real days (default), 2: real days/360, 3: real days/365 or 4: European 30/360. First date: a date Second date: a date Day counting basis: an integer >= 0 and <= 4 (optional, default: 1) Financial function mode: a boolean (0 or 1) (optional, default: 0) Local Date Format localdate([Date]) Date: a date (optional, default: today) Month month([Date]) Date: a date (optional, default: today) Standard Date Format isodate([Date]) Date: a date (optional, default: today) Unix Timestamp to Date stamptodate(Timestamp) Timestamp: an integer Week of Year week([Date][, Week begins on Sunday]) Date: a date (optional, default: today) Week begins on Sunday: a boolean (0 or 1) (optional, default: 0) Year year([Date]) Date: a date (optional, default: today) Years between two dates yearfrac(First date, Second date[, Day counting basis][, Financial function mode]) Returns the number of years (fractional) between two dates.Basis is the type of day counting you want to use: 0: US 30/360, 1: real days (default), 2: real days/360, 3: real days/365 or 4: European 30/360. First date: a date Second date: a date Day counting basis: an integer >= 0 and <= 4 (optional, default: 1) Financial function mode: a boolean (0 or 1) (optional, default: 0) Accrued interest of security paying at maturity accrintm(Issue date, Settlement date, Annual rate of security[, Par value][, Day counting basis]) Returns the accrued interest for a security which pays interest at maturity date.Basis is the type of day counting you want to use: 0: US 30/360 (default), 1: real days, 2: real days/360, 3: real days/365 or 4: European 30/360. Issue date: a date Settlement date: a date Annual rate of security: a free value Par value: a free value (optional, default: 1000) Day counting basis: an integer >= 0 and <= 4 (optional, default: 0) Accrued interest of security with periodic interest payments accrint(Issue date, First interest, Settlement date, Annual rate of security, Par value, Frequency[, Day counting basis]) Returns accrued interest for a security which pays periodic interest.Allowed frequencies are 1 - annual, 2 - semi-annual or 4 - quarterly. Basis is the type of day counting you want to use: 0: US 30/360 (default), 1: real days, 2: real days/360, 3: real days/365 or 4: European 30/360. Issue date: a date First interest: a date Settlement date: a date Annual rate of security: a free value Par value: a free value Frequency: an integer >= 1 and <= 4 Day counting basis: an integer >= 0 and <= 4 (optional, default: 0) Amount received at maturity for a security bond received(Settlement date, Maturity date, Investment, Discount rate[, Day counting basis]) Returns the amount received at the maturity date for an invested security.Basis is the type of day counting you want to use: 0: US 30/360 (default), 1: real days, 2: real days/360, 3: real days/365 or 4: European 30/360. The settlement date must be before maturity date. Settlement date: a date Maturity date: a date Investment: a free value Discount rate: a free value Day counting basis: an integer >= 0 and <= 4 (optional, default: 0) Compound compound(Principal, Nominal interest rate, Periods per year, Years) Returns the value of an investment, given the principal, nominal interest rate, compounding frequency and time. Principal: a free value Nominal interest rate: a free value Periods per year: a free value Years: a free value Discount rate for a security disc(Settlement date, Maturity date, Price per $100 face value, Redemption[, Day counting basis]) Returns the discount rate for a security.Basis is the type of day counting you want to use: 0: US 30/360 (default), 1: real days, 2: real days/360, 3: real days/365 or 4: European 30/360. Settlement date: a date Maturity date: a date Price per $100 face value: a free value Redemption: a free value Day counting basis: an integer >= 0 and <= 4 (optional, default: 0) Dollar Decimal dollarde(Fractional dollar, Denominator of fraction) Converts a dollar price expressed as a fraction into a dollar price expressed as a decimal number. Fractional dollar: a free value Denominator of fraction: an integer >= 1 Dollar Fraction dollarfr(Decimal dollar, Denominator of fraction) Converts a decimal dollar price into a dollar price expressed as a fraction. Decimal dollar: a free value Denominator of fraction: an integer >= 1 Effective Interest Rate effect(Nominal interest rate, Periods) Calculates the effective interest for a given nominal rate. Nominal interest rate: a free value Periods: a free value Future Value fv(Interest rate, Number of periods, Payment made each period[, Present value][, Type]) Computes the future value of an investment. This is based on periodic, constant payments and a constant interest rate.If type = 1 then the payment is made at the beginning of the period, If type = 0 (or omitted) it is made at the end of each period. Interest rate: a free value Number of periods: a free value Payment made each period: a free value Present value: a free value (optional, default: 0) Type: a boolean (0 or 1) (optional, default: 0) Interest paid on a given period of an investment (ISPMT) ispmt(Periodic interest rate, Amortizement period, Number of periods, Present value) Calculates the interest paid on a given period of an investment. Periodic interest rate: a free value Amortizement period: an integer >= 1 Number of periods: an integer >= 1 Present value: a free value Interest rate for a fully invested security intrate(Settlement date, Maturity date, Investment, Redemption[, Day counting basis]) Returns the interest rate for a fully invested security.Basis is the type of day counting you want to use: 0: US 30/360 (default), 1: real days, 2: real days/360, 3: real days/365 or 4: European 30/360. Settlement date: a date Maturity date: a date Investment: a free value Redemption: a free value Day counting basis: an integer >= 0 and <= 4 (optional, default: 0) Level-Coupon Bond level_coupon(Face value, Coupon rate, Coupons per year, Years, Market interest rate) Calculates the value of a level-coupon bond. Face value: a free value Coupon rate: a free value Coupons per year: a free value Years: a free value Market interest rate: a free value Nominal Interest Rate nominal(Effective interest rate, Periods) Calculates the nominal interest rate from a given effective interest rate compounded at given intervals. Effective interest rate: a free value Periods: a free value Number of coupons to be paid coupnum(Settlement date, Maturity date, Frequency[, Day counting basis]) Returns the number of coupons to be paid between the settlement and the maturity.Basis is the type of day counting you want to use: 0: US 30/360 (default), 1: real days, 2: real days/360, 3: real days/365 or 4: European 30/360. Settlement date: a date Maturity date: a date Frequency: an integer >= 1 and <= 12 Day counting basis: an integer >= 0 and <= 4 (optional, default: 0) Payment for a loan pmt(Rate, Number of periods, Present value[, Future value][, Type]) Returns the amount of payment for a loan based on a constant interest rate and constant payments (each payment is equal amount).If type = 1 then the payment is made at the beginning of the period, If type = 0 (or omitted) it is made at the end of each period. Rate: a free value Number of periods: a free value Present value: a free value Future value: a free value (optional, default: 0) Type: a boolean (0 or 1) (optional, default: 0) Payment of an annuity going towards interest (IPMT) ipmt(Periodic interest rate, Period, Number of periods, Present value[, Future value][, Type]) Calculates the amount of a payment of an annuity going towards interest.Type defines the due date. 1 for payment at the beginning of a period and 0 (default) for payment at the end of a period. Periodic interest rate: a free value Period: an integer >= 1 Number of periods: an integer >= 1 Present value: a free value Future value: a free value (optional, default: 0) Type: a boolean (0 or 1) (optional, default: 0) Payment of an annuity going towards principal (PPMT) ppmt(Periodic interest rate, Amortizement period, Number of periods, Present value[, Desired future value][, Type]) Calculates the amount of a payment of an annuity going towards principal.Type defines the due date. 1 for payment at the beginning of a period and 0 (default) for payment at the end of a period. Periodic interest rate: a free value Amortizement period: an integer >= 1 Number of periods: an integer >= 1 Present value: a free value Desired future value: a free value (optional, default: 0) Type: a boolean (0 or 1) (optional, default: 0) Periods for investment to attain desired value g_duration(Rate, Present value, Future value) Returns the number of periods needed for an investment to attain a desired value. Rate: a free value Present value: a free value Future value: a free value Periods of an investment nper(Interest rate, Payment made each period, Present value[, Future value][, Type]) Calculates number of periods of an investment based on periodic constant payments and a constant interest rate.Type defines the due date. 1 for payment at the beginning of a period and 0 (default) for payment at the end of a period. Interest rate: a free value Payment made each period: a free value Present value: a free value Future value: a free value (optional, default: 0) Type: a free value (optional, default: 0) Present Value pv(Interest rate, Number of periods, Payment made each period[, Future value][, Type]) Returns the present value of an investment.If type = 1 then the payment is made at the beginning of the period, If type = 0 (or omitted) it is made at the end of each period. Interest rate: a free value Number of periods: a free value Payment made each period: a free value Future value: a free value (optional, default: 0) Type: a boolean (0 or 1) (optional, default: 0) Price per $100 face value of a security pricemat(Settlement date, Maturity date, Issue date, Discount rate, Annual yield[, Day counting basis]) Calculates and returns the price per $100 face value of a security. The security pays interest at maturity.Basis is the type of day counting you want to use: 0: US 30/360 (default), 1: real days, 2: real days/360, 3: real days/365 or 4: European 30/360. Settlement date: a date Maturity date: a date Issue date: a date Discount rate: a free value Annual yield: a free value Day counting basis: an integer >= 0 and <= 4 (optional, default: 0) Price per $100 face value of a security bond pricedisc(Settlement date, Maturity date, Discount, Redemption[, Day counting basis]) Calculates and returns the price per $100 face value of a security bond. The security does not pay interest at maturity.Basis is the type of day counting you want to use: 0: US 30/360 (default), 1: real days, 2: real days/360, 3: real days/365 or 4: European 30/360. Settlement date: a date Maturity date: a date Discount: a free value Redemption: a free value Day counting basis: an integer >= 0 and <= 4 (optional, default: 0) Return on continuously compounded interest continuous(Principal, Interest rate, Years) Calculates the return on continuously compounded interest, given the principal, nominal rate and time in years. Principal: a free value Interest rate: a free value Years: a free value Straight Line Depreciation sln(Cost, Salvage value, Life) Determines the straight line depreciation of an asset for a single period.Cost is the amount you paid for the asset. Salvage is the value of the asset at the end of the period. Life is the number of periods over which the asset is depreciated. SLN divides the cost evenly over the life of an asset. Cost: a free value Salvage value: a free value Life: a free value Sum-of-Years Digits Depreciation syd(Cost, Salvage value, Life, Period) Calculates the sum-of-years digits depreciation for an asset based on its cost, salvage value, anticipated life, and a particular period. This method accelerates the rate of the depreciation, so that more depreciation expense occurs in earlier periods than in later ones. The depreciable cost is the actual cost minus the salvage value. The useful life is the number of periods (typically years) over which the asset is depreciated. Cost: a free value Salvage value: a free value Life: a free value Period: a free value Treasury Bill Equivalent tbilleq(Settlement date, Maturity date, Discount rate) Returns the bond equivalent for a treasury bill. Settlement date: a date Maturity date: a date Discount rate: a free value Treasury Bill Price tbillprice(Settlement date, Maturity date, Discount rate) Returns the price per $100 value for a treasury bill. Settlement date: a date Maturity date: a date Discount rate: a free value Treasury Bill Yield tbillyield(Settlement date, Maturity date, Price per $100 face value) Returns the yield for a treasury bill. Settlement date: a date Maturity date: a date Price per $100 face value: a free value Zero Coupon zero_coupon(Face value, Interest rate, Years) Calculates the value of a zero-coupon (pure discount) bond. Face value: a free value Interest rate: a free value Years: a free value Elasticity elasticity(Demand function, Price[, Price variable]) Calculates the demand elesticity. Also works for supply elasticity, income elasticity, cross-price elasticity, etc. Just replace demand, with supply, or price with income...Ex. elasticity(100-x^2, 3) calculates the demand elasticity when the price is 3 for the function "Q = 100 - x^2" where x is the default price variable. Demand function: a free value Price: a free value Price variable: an unknown variable/symbol (optional, default: x) 10 raised the to power X exp10(Exponent) Exponent: a free value 2 raised the to power X exp2(Exponent) Exponent: a free value Base-10 Logrithm log10(Value) Returns the base n logarithm. Value: a number >= 0 Base-2 Logrithm log2(Value) Returns the base n logarithm. Value: a number >= 0 Base-N Logarithm log(Value[, Base]) Value: a number that is nonzero Base: a number that is nonzero (optional, default: e) Complex Exponential (Cis) cis(Exponent) Exponent: a free value Cube Root cbrt(Value) Value: a free value Exponential (e^x) exp(Exponent) Exponent: a free value Natural Logarithm ln(Value) Value: a number that is nonzero Nth root root(Base, Exponent) Base: a free value Exponent: a free value Square sq(Value) Value: a free value Square Root sqrt(Value) √ Value: a free value Square root (x * pi) sqrtpi(Non-negative value) Returns the non-negative square root of x * pi Non-negative value: a number >= 0 X raised to the power Y pow(Base, Exponent) Base: a free value Exponent: a free value Circle Area circle(Radius) Calculates the area of a circle using the radius Radius: a free value Circle Circumference circumference(Radius) Calculates the area of a circle using the radius Radius: a free value Cone Volume cone(Radius, Height) Radius: a free value Height: a free value Surface Area of Cone cone_sa(Radius, Height) Radius: a free value Height: a free value Cube Volume cube(Length of side) Length of side: a free value Surface Area of Cube cube_sa(Length of side) Length of side: a free value Cylinder Volume cylinder(Radius, Height) Radius: a free value Height: a free value Surface Area of Cylinder cylinder_sa(Radius, Height) Radius: a free value Height: a free value Parallelogram Area parallelogram(Base, Height) Calculates the area of a four-sided figure whose opposite sides are both parallel and equal in length. Base: a free value Height: a free value Parallelogram Perimeter parallelogram_perimeter(Side A, Side B) Calculates the perimeter of a four-sided figure whose opposite sides are both parallel and equal in length. Side A: a free value Side B: a free value Surface Area of Rectangular Prism rectprism_sa(Length, Width, Height) Calculates the surface area of a prism with rectangular base. Length: a free value Width: a free value Height: a free value Volume of Rectangular Prism rectprism(Length, Width, Height) Calculates the volume of a prism with rectangular base. Length: a free value Width: a free value Height: a free value Volume of Triangular Prism triangleprism(Length, Width, Height) Calculates the volume of a prism with triangular base. Length: a free value Width: a free value Height: a free value Height of Regular Tetrahedron tetrahedron_height(Length of side) Length of side: a free value Height of Square Pyramid sqpyramid_height(Length of side) Length of side: a free value Pyramid Volume pyramid(Length of base, Width of base, Height) Calculates the volume of a 3-dimensional shape standing on a rectangular base and terminating in a point at the top. Length of base: a free value Width of base: a free value Height: a free value Surface Area of Regular Tetrahedron tetrahedron_sa(Length of side) Length of side: a free value Surface Area of Square Pyramid sqpyramid_sa(Length of side) Length of side: a free value Volume of Regular Tetrahedron tetrahedron(Length of side) Length of side: a free value Volume of Square Pyramid sqpyramid(Length of side) Length of side: a free value Rectangle Area rect(Length, Width) Length: a free value Width: a free value Rectangle Perimeter rect_perimeter(Length, Width) Length: a free value Width: a free value Sphere Volume sphere(Radius) Radius: a free value Surface Area of Sphere sphere_sa(Radius) Radius: a free value Square Area square(Length of side) Length of side: a free value Square Perimeter square_perimeter(Length of side) Length of side: a free value Trapezoid Area trapezoid(Side A, Side B, Height) Calculates the area of a four-sided figure with two parallel sides. Side A: a free value Side B: a free value Height: a free value Hypotenuse hypot(Side A, Side B) Side A: a free value Side B: a free value Triangle Area triangle(Base, Height) Base: a free value Height: a free value Triangle Perimeter triangle_perimeter(Side A, Side B) Side A: a free value Side B: a free value Bitwise Exclusive OR bitxor(Value 1, Value 2) Value 1: an integer or a vector Value 2: an integer or a vector Bitwise Shift shift(Number, Bits) Number: an integer Bits: an integer For...Do for(Initial value of counter, Counter variable, For condition, Counter update function, Initial value, Do function, Value variable) Initial value of counter: a free value Counter variable: an unknown variable/symbol For condition: a free value Counter update function: a free value Initial value: a free value Do function: a free value Value variable: an unknown variable/symbol If...Then...Else if(Condition, Expression if condition is met, Expression if condition is NOT met) Tests a condition and returns a value depending on the result. Condition: a real number Expression if condition is met: a free value Expression if condition is NOT met: a free value Logical Exclusive OR xor(Value 1, Value 2) Value 1: a free value Value 2: a free value Adjugate (Adjoint) adj(Matrix) Calculates the adjugate or adjoint of a matrix. Matrix: a square matrix Cofactor cofactor(Matrix, Row, Column) Calculates the cofactor of the element at specified position. Matrix: a matrix Row: an integer >= 1 Column: an integer >= 1 Columns columns(Matrix) Returns the number of columns in a matrix. Matrix: a matrix Construct Matrix matrix(Rows, Columns, Elements) Returns a matrix with specified dimensions and listed elements. Omitted elements are set to zero. Rows: an integer >= 1 Columns: an integer >= 1 Elements: a vector Construct Vector vector([argument 1], ...) Returns a vector with listed elements. 1: a free value (optional) Convert Matrix to Vector matrix2vector(Matrix) Puts each element of a matrix in vertical order in a vector. Matrix: a matrix Cross Product cross(Vector 1, Vector 2) Calculates the cross product of a 3-dimensional vector. Vector 1: a vector that fulfills the condition: "dimension(\x)==3" Vector 2: a vector that fulfills the condition: "dimension(\x)==3" Determinant det(Matrix) Calculates the determinant of a matrix. Matrix: a square matrix Dimension dimension(Vector) Returns the number of elements in a vector. Vector: a vector Element element(Matrix/vector, Row/index[, Column]) Returns the element at specified position in a matrix (row and column) or vector (index). Matrix/vector: a vector Row/index: an integer >= 1 Column: an integer (optional, default: 0) Elements elements(Matrix or vector) Returns the number of elements in a matrix or vector. Matrix or vector: a vector Export To CSV File export(Matrix/vector, Filename[, Separator]) Exports a matrix to a CSV data file. Matrix/vector: a vector Filename: a valid file name Separator: a text string (optional, default: ,) Extract Column as Vector column(Matrix, Column) Returns a column in a matrix as a vector. Matrix: a matrix Column: an integer >= 1 Extract row as vector row(Matrix, Row) Returns a row in a matrix as a vector. Matrix: a matrix Row: an integer >= 1 Generate Vector genvector(Function, Min, Max, Dimension / Step size[, Variable][, Use step size]) Returns a vector generated from a function with a variable (default x) running from min to max. The fourth argument is either the requested number of elements if the sixth argument is false (default) or the step between each value of the variable. Function: a free value Min: a free value Max: a free value Dimension / Step size: a free value Variable: an unknown variable/symbol (optional, default: x) Use step size: a boolean (0 or 1) (optional, default: 0) Identity identity(Matrix or rows/columns) Returns the identity matrix of a matrix or with specified number of rows/columns. Matrix or rows/columns: an integer >= 1 or a square matrix Load CSV File load(Filename[, First data row][, Separator]) Returns a matrix imported from a CSV data file. Filename: a valid file name First data row: an integer >= 1 (optional, default: 1) Separator: a text string (optional, default: ,) Matrix Area area(Matrix, Start row, Start column, End row, End column) Returns a part of a matrix. Matrix: a matrix Start row: an integer >= 1 Start column: an integer >= 1 End row: an integer >= 1 End column: an integer >= 1 Matrix Inverse inverse(Matrix) Calculates the inverse of a matrix. The inverse is the matrix that multiplied by the original matrix equals the identity matrix (AB = BA = I). Matrix: a square matrix Merge Vectors mergevectors(Vector 1[, Vector 2], ...) Returns a vector with the elements from two vectors. Vector 1: a vector Vector 2: a vector (optional) Norm (length) norm(Vector) Calculates the norm/length of a vector. Vector: a vector Permanent permanent(Matrix) Calculates the permanent of a matrix. The permanent differs from a determinant in that all signs in the expansion by minors are taken as positive. Matrix: a square matrix Rank rank(Vector[, Ascending]) Returns a vector with values of elements replaced with their mutual ranks.ex. rank([6, 1, 4]) = [3, 1, 2] Vector: a vector Ascending: a boolean (0 or 1) (optional, default: 1) Rows rows(Matrix) Returns the number of rows in a matrix. Matrix: a matrix Sort sort(Vector[, Ascending]) Returns a sorted vector.ex. sort([6, 1, 4])=[1, 4, 6] Vector: a vector Ascending: a boolean (0 or 1) (optional, default: 1) Transpose transpose(Matrix) Returns the transpose of a matrix. Matrix: a matrix Vector Limits limits(Vector, Lower limit, Upper limit) Returns a part of a vector between two positions. Vector: a vector Lower limit: an integer Upper limit: an integer Body Mass Index (BMI) bmi(Weight, Length) Calculates the Body Mass Index. The resulting BMI-value is sometimes interpreted as follows (although varies with age, sex, etc.):Underweight < 18.5Normal weight 18.5-25Overweight 25-30Obesity > 30Note that you must use units for weight (ex. 59kg) and length (ex. 174cm). Weight: a free value Length: a free value Kronecker Delta kronecker(Value 1 (i)[, Value 2 (j)]) Returns 0 if i != j and 1 if i = j. Value 1 (i): a real number Value 2 (j): a real number (optional, default: 0) Riemann Zeta zeta(Integral point) Integral point: an integer >= 1 and <= 2.1474836E9 Roman Number roman(Roman number) Roman number: a text string Absolute Value abs(Value) Value: a number Greatest Common Divisor gcd(1st value, 2nd value) 1st value: a free value that is rational (polynomial) 2nd value: a free value that is rational (polynomial) Least Common Multiplier lcm(1st value, 2nd value) 1st value: a free value that is rational (polynomial) 2nd value: a free value that is rational (polynomial) Add add(Terms) Terms: a vector Denominator denominator(Number) Number: a rational number Divide divide(Numerator, Denominator) Numerator: a free value Denominator: a free value Modulus mod(Numerator, Denominator) Numerator: a real number Denominator: a real number that is nonzero Multiply multiply(Factors) Factors: a vector Negate neg(Value) Value: a free value Numerator numerator(Number) Number: a rational number Raise raise(Base, Exponent) Base: a free value Exponent: a free value Reciprocal inv(Value) Value: a free value Remainder rem(Numerator, Denominator) Numerator: a real number Denominator: a real number that is nonzero Signum sgn(Number) Number: a number Subtract subtract(Terms) Terms: a vector Even even(Number) Number: an integer Odd odd(Number) Number: an integer Binary bin(Binary number) Returns a decimal integer from a binary number Binary number: a text string Hexadecimal hex(Hexadecimal number) Returns a decimal value from a hexadecimal number Hexadecimal number: a text string Number Base base(Number, Base) Returns a decimal integer from a number of specified base between 2 and 36 Number: a text string Base: an integer >= 2 and <= 36 Octal oct(Octal number) Returns a decimal integer from an octal number Octal number: a text string Coefficient coeff(Polynomial, Number[, Variable]) Polynomial: a free value that is rational (polynomial) Number: an integer >= 0 Variable: an unknown variable/symbol (optional, default: x) Content Part pcontent(Polynomial[, Variable]) Polynomial: a free value that is rational (polynomial) Variable: an unknown variable/symbol (optional, default: x) Leading Coefficient lcoeff(Polynomial[, Variable]) Polynomial: a free value that is rational (polynomial) Variable: an unknown variable/symbol (optional, default: x) Lowest Degree (Valuation) ldegree(Polynomial[, Variable]) Polynomial: a free value that is rational (polynomial) Variable: an unknown variable/symbol (optional, default: x) Polynomial Degree degree(Polynomial[, Variable]) Polynomial: a free value that is rational (polynomial) Variable: an unknown variable/symbol (optional, default: x) Primitive Part primpart(Polynomial[, Variable]) Polynomial: a free value that is rational (polynomial) Variable: an unknown variable/symbol (optional, default: x) Trailing Coefficient tcoeff(Polynomial[, Variable]) Polynomial: a free value that is rational (polynomial) Variable: an unknown variable/symbol (optional, default: x) Unit Part punit(Polynomial[, Variable]) Polynomial: a free value that is rational (polynomial) Variable: an unknown variable/symbol (optional, default: x) Extract Fractional Part frac(Value) Value: a real number Extract Integer Part int(Value) Value: a real number Round round(Value) Value: a real number Round Downwards floor(Value) Value: a real number Round Towards Zero trunc(Value) Value: a real number Round Upwards ceil(Value) Value: a real number Random Number rand([Ceil]) Generates a pseudo-random number. Returns a real number between 0 and 1, if ceil is zero (default), or an integer between 1 and (including) ceil. Ceil: an integer (optional, default: -1) Random Number Between Limits randbetween(Bottom, Top) Returns an integer between (including) bottom and top. Bottom: an integer Top: an integer "Bottom"<="Top" Decile decile(Data, Decile) Data: a vector Decile: a number >= 0 and <= 100 Interquartile Range iqr(Data) Calculates the difference between the first and third quartile. Data: a vector Max max(Vector) Returns the highest value. Vector: a vector Median median(Data) Data: a vector Min min(Vector) Returns the lowest value. Vector: a vector Mode mode(Vector) Returns the most frequently occuring value. Vector: a vector Number of Samples number(Data) Returns the number of samples. Data: a vector Percentile percentile(Vector, Percentile (%)) Vector: a vector Percentile (%): a number > 0 and < 99 Quartile quartile(Data, Quartile) Data: a vector Quartile: an integer >= 1 and <= 3 Range range(Data) Calculates the difference between the min and max value. Data: a vector Sum (total) total(Data) Data: a vector Logistic Distribution logistic(X, Scale) Returns the probability density p(x) at x for a logistic distribution with scale parameter. (from Gnumeric) X: a free value Scale: a number >= 0 Pareto Distribution pareto(X, Exponent, Scale) Returns the probability density p(x) at x for a Pareto distribution with exponent and scale. (from Gnumeric) X: a free value Exponent: a number >= 0 Scale: a number >= 0 Rayleigh Distribution rayleigh(X, Sigma) Returns the probability density p(x) at x for a Rayleigh distribution with scale parameter sigma. (from Gnumeric) X: a free value Sigma: a number >= 0 Rayleigh Tail Distribution rayleightail(X, Lower limit, Sigma) Returns the probability density p(x) at x for a Rayleigh tail distribution with scale parameter sigma and a lower limit. (from Gnumeric) X: a free value Lower limit: a free value Sigma: a number >= 0 Geometric Mean geomean(Data) Data: a vector Harmonic Mean harmmean(Data) Data: a vector Mean mean(Data) average Data: a vector Quadratic Mean (RMS) rms(Data) Data: a vector Trimmed Mean trimmean(Data, Trimmed percentage (at each end)) Data: a vector Trimmed percentage (at each end): a free value Weighted Mean weighmean(Data, Weights) Data: a vector Weights: a vector Winsorized Mean winsormean(Data, Winsorized percentage (at each end)) Data: a vector Winsorized percentage (at each end): a free value Covariance cov(Data 1, Data 2) covar Data 1: a vector Data 2: a vector Mean Deviation meandev(Data) Data: a vector Pooled Variance poolvar(Data 1, Data 2) Data 1: a vector Data 2: a vector Standard Deviation (entire population) stdevp(Data) Data: a vector Standard Deviation (random sampling) stdev(Data) Data: a vector Standard Error stderr(Data) Data: a vector Variance (entire population) varp(Data) Data: a vector Variance (random sampling) var(Data) Data: a vector Pearson's Correlation Coefficient pearson(Data 1, Data 2) correl Data 1: a vector Data 2: a vector dimension("Data 1")=dimension("Data 2") Spearman's Rho spearman(Data 1, Data 2) Data 1: a vector Data 2: a vector dimension("Data 1")=dimension("Data 2") Statistical Correlation cor(Data 1, Data 2) Data 1: a vector Data 2: a vector Paired T-Test pttest(Data 1, Data 2) Data 1: a vector Data 2: a vector Unpaired T-Test ttest(Data 1, Data 2) Data 1: a vector Data 2: a vector Heaviside Step Function heaviside(Value) Discontinuous function also known as "unit step function". Returns 0 if x < 0, 1 if x > 0, and 1/2 if x = 0. Value: a real number Logit Transformation logit(Value) Value: a number Ramp Function ramp(Value) Value: a real number Rectangular Function rectangular(Value) Value: a real number Sigmoid Function sigmoid(Value) Value: a number Triangular Function triangular(Value) Value: a real number Cosecant csc(Angle) Angle: an angle or a number (using the default angle unit) Cosine cos(Angle) Angle: an angle or a number (using the default angle unit) Cotangent cot(Angle) Angle: an angle or a number (using the default angle unit) Hyperbolic Cosecant csch(argument 1) 1: a free value Hyperbolic Cosine cosh(argument 1) 1: a number Hyperbolic Cotangent coth(argument 1) 1: a free value Hyperbolic Secant sech(argument 1) 1: a free value Hyperbolic Sine sinh(argument 1) 1: a number Hyperbolic Tangent tanh(argument 1) 1: a free value Inverse Cosecant acsc(argument 1) 1: a free value Inverse Cosine acos(argument 1) 1: a number Inverse Cotangent acot(argument 1) 1: a free value Inverse Hyperbolic Cosecant acsch(argument 1) 1: a free value Inverse Hyperbolic Cosine acosh(argument 1) 1: a number Inverse Hyperbolic Cotangent acoth(argument 1) 1: a free value Inverse Hyperbolic Secant asech(argument 1) 1: a free value Inverse Hyperbolic Sine asinh(argument 1) 1: a number Inverse Hyperbolic Tangent atanh(argument 1) 1: a number Inverse Secant asec(argument 1) 1: a free value Inverse Sine asin(argument 1) 1: a number Inverse Tangent atan(argument 1) 1: a number Radians to Default Angle Unit radtodef(Radians) Radians: a free value Secant sec(Angle) Angle: an angle or a number (using the default angle unit) Sine sin(Angle) Angle: an angle or a number (using the default angle unit) Tangent tan(Angle) Angle: an angle or a number (using the default angle unit) ASCII Char char(Value) Value: an integer >= 32 and <= 127 ASCII Value code(Character) Character: a text string that fulfills the condition: "len(\x) = 1" Concatenate Strings concatenate(Text string 1[, Text string 2], ...) Text string 1: a text string Text string 2: a text string (optional) Custom Sum of Elements csum(First element, Last element, Initial value, Function, Value variable, Element variable, Vector[, Index variable][, Vector variable]) First element: an integer Last element: an integer Initial value: a free value Function: a free value Value variable: an unknown variable/symbol Element variable: an unknown variable/symbol Vector: a vector Index variable: an unknown variable/symbol (optional, default: "") Vector variable: an unknown variable/symbol (optional, default: "") Display Error error(Message) Message: a text string Display Message message(Message) Message: a text string Display Warning warning(Message) Message: a text string Function function(Expression, Arguments) Expression: a text string Arguments: a vector Length of string len(Text) Text: a text string Process Matrix Elements processm(Function, Element variable, Matrix[, Row variable][, Column variable][, Matrix variable]) Function: a free value Element variable: an unknown variable/symbol Matrix: a matrix Row variable: an unknown variable/symbol (optional, default: "") Column variable: an unknown variable/symbol (optional, default: "") Matrix variable: an unknown variable/symbol (optional, default: "") Process Vector Elements process(Function, Element variable, Vector[, Index variable][, Vector variable]) Function: a free value Element variable: an unknown variable/symbol Vector: a vector Index variable: an unknown variable/symbol (optional, default: "") Vector variable: an unknown variable/symbol (optional, default: "") RPN Stack Register register(Index) Returns the value of a RPN stack register. Index: an integer >= 1 RPN Stack Vector stack() Returns the RPN stack as a vector. Replace replace(Expression, Original value, New value[, Precalculate expression]) Replaces a certain value in an expression with a new value. The expression is calculated before the replacement if the fourth argument is true. Expression: a free value Original value: a free value New value: a free value Precalculate expression: a boolean (0 or 1) (optional, default: 0) Save as Variable save(Value, Name[, Category][, Title]) Value: a free value Name: a text string Category: a text string (optional, default: Temporary) Title: a text string (optional) Select Vector Elements select(Vector, Condition[, Element variable][, Select first match]) Vector: a free value Condition: a free value Element variable: an unknown variable/symbol (optional, default: x) Select first match: a boolean (0 or 1) (optional, default: 0) Strip Units nounit(Expression) strip_unitsRemoves all units from an expression. The expression is calculated before the removal. Expression: a free value Title title(Name) Name: a valid function, unit or variable name