Euler; Exlr; Exp&Ln; Exp2Hyp - HP 48gII Advanced User's Reference Manual

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Command:
EPSX0(1E-13*X+.01)
Result:
0*X+.01

EULER

Type:
Function
Description:
For a given integer, returns the number of integers less than the integer that are co-prime with
the integer. (Euler's
Access:
Input:
A non-negative integer, or an expression that evaluates to a non-negative integer.
Output:
The number of positive integers, less than, and co-prime with, the integer.
Flags:
Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).

EXLR

Type:
Command
Description:
Returns the left- and right-hand sides of an equation as discrete expressions.
Catalog, ...µ
Access:
Input:
An equation.
Output:
Level 2/Item 1: The expression to the left of the "=" sign in the original equation, or, if the
input is an expression and not an equation, the independent variable.
Level 1/Item 2: The expression to the right of the "=" sign in the original equation, or, if the
input is an expression, the expression.
Flags:
Numeric mode must not be set (flag -3 clear).
In Algebraic mode (flag –95 set), the output expressions are evaluated (variables are replaced
by numeric values) before the result is returned.
Example:
Split the following equation into its two component expressions: sin(x)=5x+y
Command:
EXLR(SIN(X)=5*X+Y)
Result:
{SIN(X), 5*X+Y}
See also:
FXND
EXP&LN
Type:
Command
Description:
Displays a menu or list of the CAS exponential and logarithmic operations.
Catalog, ...µ
Access:
Flags:
If the CHOOSE boxes flag is clear (flag –117 clear), displays the operations as a numbered
list. If the flag is set, displays the operations as a menu of function keys.
See also:
ALGB, ARIT, CONSTANTS, DIFF, INTEGER, MAIN, MATHS, MATR, MODULAR,
POLYNOMIAL, REWRITE, TESTS, TRIGO

EXP2HYP

Type:
Function
Description:
Converts expressions involving the exponential function into expressions with hyperbolic
functions.
Catalog, ...µ
Access:
Input:
An expression
4-28 Computer Algebra Commands
function.)
INTEGER

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