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Apple Newton Works Graphing Calculator User Manual

Page 14

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Using the math functions

The Math list contains the following functions:

Function

Abbreviation

Description

Square Root

Sqrt(x)

Returns the square root of x

Natural logarithm

Ln(x)

Returns the natural logarithm of x

Exponential

Exp(x)

Returns the exponential (inverse of the
natural logarithm) of x

Gamma

Gamma(x)

Returns the gamma of x (Factorial(x – 1) for
positive integers)

Logarithm

Log(x)

Returns the logarithm of x, base 10

Modulus

Mod(x,y)

Returns the modulus of x with respect to y
(that is, the remainder of x/y)

Remainder

Remainder(x,y)

Returns x – y * round(x/y)

Factorial

Factorial(x)

Returns the factorial of x

Using the Remainder function

The Remainder function is not simply the remainder of x/y (the modulus function is).
The Remainder function returns x – y * round(x/y). A different definition is
x – remainder(x,y), which gives the closest value to x that is evenly divisible by y.

Examples

y(x) = 0.5*ln((1+x)/(1–x))

y(x) = 1/sqrt(4*x^2+1)

y(x) = exp(x)/(1–exp(2*x))

14

Chapter 2