Numeric Functions | JMP 13.2

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JSL Syntax Reference • JSL Functions • Numeric Functions

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Numeric Functions

Calculates the absolute value of n.

Returns a positive number of the same magnitude as the value of n.

If n is not an integer, rounds n to the next highest integer.

Returns the smallest integer greater than or equal to n.

Derivative(expr, {name, ...}, ...)

Calculates the derivative of the expr expression with respect to name.

Returns the derivative.

Any expression. Indirect arguments (for example, Name Expr, Expr, Eval) are supported.

Can be a single variable or a list of variables.

Adding an additional variable (Derivative(expr, name, name2)) takes the second derivative.

If n is not an integer, rounds n to the next lowest integer.

Returns the largest integer less than or equal to n.

Floor( 2.7 );

Floor( –.5 );

–1

Invert Expr(expr, name)

Attempts to unfold expr around name.

See Modulo(number, divisor)

Modulo(number, divisor)

Mod(number, divisor)

Returns the remainder when number is divided by divisor.

Modulo( 6, 5 );

Normal Integrate(muVector, sigmaMatrix, expr, x, nStrata, nSim)

Returns the result of radial-spherical integration for smooth functions of multivariate, normally distributed variables.

An expression in terms of the variable x.

The variable used in the expression expr.

Number of strata.

Number of simulations.

Num Deriv(f(x,...), <parnum=1>)

Returns the numerical derivative of the f( x,... ) function with respect to one of its arguments. You can specify that argument as the second argument in the Num Deriv function. If no second argument is specified, the derivative is taken with respect to the function's first argument. The derivative is evaluated using numeric values specified in the f( x,... ) function expression.

The Num Deriv() function might appear not to produce the correct results as seen here:

n = Num Deriv( 3 * x ^ 2 );

 // 9.00000000001455

The preceding usage is not correct. The function was designed to be used in the Nonlinear platform to differentiate functions for which it does not know the analytic derivatives. The proper usage takes the following form:

x = 3;

f = Function( {x}, 3 * x ^ 2 );

n = Num Deriv( f( x ), 1 );

// 18.000029999854

Num Deriv2(f(x,...))

Returns the numerical second derivative of the f( x,... ) function with respect to x. The derivative is evaluated using numeric values specified in the f( x,... ) function expression.

Round(n, places)

Rounds n to number of decimal places given.

Simplify Expr(expr(expression))

Simplify Expr(nameExpr(global))

Algebraically simplifies an expression

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Help created on 9/19/2017