HP 48gII Graphing, 50g Graphing manual Ibasis, Ibernoulli, Ibp, ABCUV, Iegcd, Basis

Models: 50g Graphing 48gII Graphing

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Output:

Level 2/Item 1: The value for u.

 

Level 1/Item 2: The value for v.

Flags:

Exact mode must be set (flag –105 clear).

 

Numeric mode must not be set (flag –3 clear).

 

Radians mode must be set (flag –17 set).

Example:

Find a solution in integers of the equation:

 

6a + 11b = 3

Command:

IABCUV(6,11,3)

Result:

{6,-3}

See also:

ABCUV, IEGCD

IBASIS

 

Type:

Command

Description:

Determines the basis of the intersection between two vector spaces.

Access:

Matrices, !Ø LVECTOR

Input:

Two lists of vectors

Output:

A list of vectors.

Flags:

Exact mode must be set (flag –105 clear).

Example:

Find a vector of a basis of the intersection of the vector subspaces defined by [1, 2] and [2, 4]

Command:

IBASIS({[1,2]}, {[2,4]})

Result:

{[1,2]}

See also:

BASIS

IBERNOULLI

 

Type:

Function

Description:

Returns the nth Bernoulli number for a given integer n.

Access:

Arithmetic, INTEGER

Input:

Level 1/Argument 1: an integer.

Output:

Level 1/Item 1: The corresponding nth Bernoulli number for the integer. For numbers greater

 

than about 40 the calculation can take a long time.

Flags:

Numeric mode must not be set (flag –3 clear).

IBP

 

Type:

Command

Description:

Performs integration by parts on a function. The function must be able to be represented as a

 

product of two functions, where the antiderivative of one of the functions is known:

 

f(x) = u(x).v’(x)

Note that the command is designed for use in RPN mode only.

Access:

PCALC or Calculus, DERIV & INTEG L

Input:

Level 2: The integrand expressed as a product of two functions, u(x).v’(x)

 

Level 1: The antiderivative of one of the component functions, v(x).

Output:

Level 2: u(x)v(x)

 

Level 1: u'( x)v(x)

Full Command and Function Reference 3109

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Image 229
HP 48gII Graphing, 50g Graphing manual Ibasis, Ibernoulli, Ibp, ABCUV, Iegcd, Basis