| ArVol.wsc |
Perimeter, area and volume of simple geometric figures
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cperR(r) |
Perimeter of circle |
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carR(r) |
Area of circle |
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sarR(r) |
Surface area of sphere |
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elarAB(a,b) |
Area of ellipse |
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elvolABC(a,b,c) |
Volume of ellipsiod |
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cyarHR(h,r) |
Surface area of cylinder |
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cyvolHR(h,r) |
Volume of cylinder |
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coarLR(l,r) |
Curved surface area of circular cone |
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covolAH(A,h) |
Volume of cone or pyramid |
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toarRR(r1,r2) |
Surface area of torus |
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tovolRR(r1,r2) |
Volume of torus |
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scarRD(r,d) |
Area of spherical cap |
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scvolRD(r,d) |
Volume of spherical cap |
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| triag.wsc |
Solving triangle
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sASS(alfa,b,c) |
Side a in triangle by cosine formula |
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sASA(alfa,b,gamma) |
Side "c" in triangle by sine formula |
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anSSS(a,b,c) |
Angle alfa in triangle by cosine formula |
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anSSA(a,b,beta) |
Angle alfa in triangle by sine formula |
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arSSS(a,b,c) |
Area of triangle from three sides |
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arSSA(a,b,gamma) |
Area of triangle from two side and angle |
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arSAA(a,beta,gamma) |
Area of triangle from two angles and one side |
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arHA(a,Ha) |
Area of triangle from a side and its height |
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mSSS(a,b,c) |
Median of triangle from three sides |
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mASS(alfa,b,c) |
Median of triangle from two sides and one angle |
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mASA(alfa,b,gamma) |
Median of triangle from two angles and one side |
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icSSS(a,b,c) |
Incircle radius of triangle from three sides |
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hSSS(a,b,c) |
Height of triangle from three sides |
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hASS(alfa,b,c) |
Height of triangle from two sides and one angle |
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hASA(alfa,b,gamma) |
Height of triangle from two angles and one side |
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icASS(alfa,b,c) |
Incircle radius of triangle from two sides and one angle |
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ccSSS(a,b,c) |
Circumcircle radius of triangle from three sides |
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ccASS(alfa,b,c) |
Circumcircle radius of triangle from two sides and one angle |
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ccASA(alfa,b,gamma) |
Circumcircle radius of triangle from one side and two angles |
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icASA(alfa,b,gamma) |
Incircle radius from two angles and one side |
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| kinet.wsc |
Simple kinematics formulas
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distUAT(u,a,t) |
Distance of accelerated body |
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vlctUAT(u,a,t) |
Velocity of accelerated body after time (t) |
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vlctUAX(u,a,x) |
Velocity of accelerated body after distance (x) |
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aclrVUT(v,u,t) |
Acceleration of a body after time (t) |
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aclrVUX(v,u,x) |
Acceleration of a body after distance (x) |
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vtanWR(w,r) |
Tangential velocity |
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vangVR(v,r) |
Angular velocity |
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acenVR(v,r) |
Centripetal acceleration |
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acenWR(w,r) |
Centripetal acceleration |
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atanRA(r,aa) |
Tangential acceleration |
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atotAA(atan,ac) |
Total acceleration |
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penduT(l,g) |
Periodic time of simple pendulum |
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penduL(T,g) |
Length of simple pendulum |
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| SttA.wsc |
Statistical functions - part 1
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sum(v) |
Sum of the vector elements |
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DotProd(v,w) |
Dot product of vector v and w, sum of products of correspondent
elements. |
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min(v) |
Minimum element value in the vector v |
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max(v) |
Maximum element value in the vector v |
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SumOfSqr(v) |
Sum of squares of the vector elements |
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normal(v) |
Normalize the vector by dividing its elements by Sqrt(SumOfSqr) |
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varnc(v) |
Variance of a vector sample |
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StDev(v) |
Standard deviation of a vector sample |
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average(v) |
Average (arithmetic mean) of a vector sample |
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median(v) |
Median of a sample vector. |
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mode(v) |
Mode of a sample vector |
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PopVar(v) |
Population variance of a sample vector |
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M1(v) |
First central moment of a sample vector |
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M2(v) |
Second central moment of a sample vector |
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M3(v) |
Third central moment of a sample vector |
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M4(v) |
Fourth central moment of a sample vector |
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skew(v) |
Skewness is a measure of the degree of asymmetry of a
distribution. |
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kurtosis(v) |
Kurtosis of a sample vector |
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product(v) |
Product of all vector elements |
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angle(v,w) |
The angle between vectors v and w |
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| SttB.wsc |
Statistical functions - part 2
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AveDev(v) |
Average of the absolute deviations of data points from their
mean. |
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DevSq(v) |
Sum of squares of deviations of data points from their sample
mean. |
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Confidence(Alpha,StdDev,Size) |
Confidence interval for a population mean. |
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Frequency(v,bins) |
Calculates how often values occur within an array of data, |
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Correl(v,w) |
Correlation coefficient of the V and W arrays. |
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Covar(v,w) |
Covariance, the average of products of deviations, for the V and
W arrays. |
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Large(v,K) |
K'th largest value in an array of data. |
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Small(v,K) |
K'th smallest value in an array of data. |
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GeoMean(v) |
Geometric mean of an array of positive data. |
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HarMean(v) |
Harmonic mean of an array of data. |
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TrimMean(v,perc) |
Mean of V after trimming Percent points from the data set. |
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Rank(N,v,Ascended) |
Rank of a number in a list of numbers. |
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Forecast(X,KnownY,KnownX) |
Calculates a future value by using existing values. |
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ForeExp(X,KnownY,KnownX) |
Calculates a future value by using existing values. |
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Percentile(v,K) |
Returns the value of the K'th percentile of an array of data. |
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PerceRank(v,X) |
Returns the percentile position of a value within an array of
data. |
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Intercept(KnownY,KnownX) |
Calculates the point at which a line will intersect the y-axis |
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Slope(KnownY,KnownX) |
Slope of the linear regression line through data points |
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RSq(KnownY,KnownX) |
Square of the Pearson product moment correlation coefficient |
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STEYX(KnownY,KnownX) |
Standard error of the predicted y-value for each X in a linear
regression. |
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Dist.wsc |
Discrete statistical distributions
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BetaDist(X,Alpha,Beta,A,B) |
Returns the cumulative beta probability density function. |
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BetaInv(Prob,Alpha,Beta,A,B) |
Inverse of the cumulative beta probability density function. |
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BinomDist(NumbS,Trial,Probs,Cumul) |
Individual term binomial distribution probability. |
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CritBinom(Trials,ProbS,Alpha) |
The smallest value for which the cumulative binomial
distribution |
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ChiDist(X,DegFree) |
One-tailed probability of the chi-squared distribution. |
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ChiInv(Prob,DegFree) |
The inverse of the one-tailed probability of the chi-squared |
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ExponDist(X,Lambda,Cumul) |
Exponential distribution. |
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FDist(X,DegFree1,DegFree2) |
F probability distribution. |
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FInv(Prob,DegFree1,DegFree2) |
Inverse of the F probability distribution. |
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LogNDist(X,Mean,StdDev) |
Cumulative lognormal distribution of X, |
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LogInv(Prob,Mean,StdDev) |
Inverse of the lognormal cumulative distribution function |
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NormDist(X,Mean,StdDev,Cumul) |
Normal cumulative distribution |
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NormInv(Prob,Mean,StdDev) |
Inverse of the normal cumulative distribution |
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NormSDist(Z) |
Standard normal cumulative distribution function. |
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NormSInv(Prob) |
Inverse of the standard normal cumulative distribution. |
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TDist(X,DegFree,TwoTails) |
Student's t-distribution. |
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TInv(Prob,DegFree) |
Inverse of the Student's t-distribution |
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Poisson(X,Mean,Cumul) |
Poisson distribution. |
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| SpFn.wsc |
Special functions
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gammln(x) |
Return ln(Gamma(x)), used latter intead of Gamma(x), because of |
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gammp(a,x) |
Return the Incomplete gamma function P(a,x) |
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gammq(a,x) |
Return the Incomplete gamma function Q(a,x) |
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betaf(z,w) |
Return the beta function |
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betacf(a,b,x) |
Return the fraction for incomplete beta function (used by "betai") |
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betai(a,b,x) |
Return the incoplete beta function |
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bessj(n,x) |
Return Bessel function J(n,z) |
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bessy(n,x) |
Return Bessel function Y(n,z) |
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bessi(n,x) |
Return modified Bessel function I(n,z), equivalent to the usual
Bessel |
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bessk(n,x) |
Return modified Bessel function K(n,z), equivalent to the usual
Bessel |
|
erf(x) |
Return the Error function |
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erfc(x) |
Return the Complementary error function |
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plgndr(l,m,x) |
Return associated Legender polinomial P(l,m,x) |
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el2(x,kc,a,b) |
Return general eliptic integral of second kind el2(x,kc,a,b) |
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cel(kc,p,a,b) |
Return general complete eliptic integral cel(kc,p,a,b) |
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| trgh.wsc |
Hyperbolic trigonometric functions
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sinh(X) |
Hyperbolic Sine |
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cosh(x) |
Hyperbolic Cosine |
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tanh(X) |
Hyperbolic Tangent |
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coth(X) |
Hyperbolic Cotangent |
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asinh(X) |
Inverse Hyperbolic Sine |
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acosh(X) |
Inverse Hyperbolic Cosine |
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atanh(X) |
Inverse Hyperbolic Tangent |
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acoth(X) |
Inverse Hyperbolic Cotangent |
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sech(X) |
Hyperbolic Secant |
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csch(X) |
Hyperbolic Cosecant |
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asech(X) |
Inverse Hyperbolic Secant |
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acsch(X) |
Inverse Hyperbolic Cosecant |
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