Input/Output:

 

 

Level 3/Argument 1

Level 2/Argument 2

Level 1/Argument 3

 

Level 1/Item 1

 

 

 

 

 

 

 

 

 

m

v

x

→

utpn(m,v,x)

 

 

 

 

 

 

 

See also:

UTPC, UTPF, UTPT

 

 

 

 

 

 

 

 

 

 

 

UTPT

Command

 

 

 

 

Type:

 

 

 

 

Description:

Upper Student’s t Distribution Command: Returns the probability utpt(n, x) that a Student’s t

 

random variable is greater than x, where n is the number of degrees of freedom of the

 

distribution.

 

 

 

 

The following is the defining equation for all x:

 

 

 

 

 

 

 

 

 

 

Γ

n + 1

 

∞

 

2

 

n + 1

 

 

 

 

 

 

 

 

 

 

-----------

 

t

–-----------

 

 

utpt(n,

x)

 

 

 

 

 

2

 

2

 

 

=

-----------------------

∫

1 + ---

dt

 

 

 

 

 

 

 

 

 

Γ

--n

 

nπ

x

n

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2

 

 

 

 

 

 

 

 

 

Γ

--z

=

--z

– 1

!

 

 

 

 

 

 

 

 

 

 

 

 

 

For any value z,

2

 

2

 

, where ! is the factorial command.

 

 

 

 

 

 

 

The value n is rounded to the nearest integer and, when rounded, must be positive.

Access:

!´LPROBABILITY LUTPT

( ´is the left-shift of the Pkey).

Input/Output:

 

 

 

 

 

 

 

 

 

 

 

 

Level 2/Argument 1

Level 1/Argument 2

Level 1/Item 1

 

 

 

 

 

 

 

 

n

x

→

utpt(n,x)

 

 

 

 

 

 

See also:

UTPC, UTPF, UTPN

 

 

 

 

 

 

 

 

 

UVAL

Function

 

 

 

Type:

 

 

 

Description:

Unit Value Function: Returns the numerical part of a unit object.

 

Access:

…ÛTOOLS UVAL

 

(Ûis the right-shift of the 6key).

Flags:

Numerical Results (–3)

 

 

 

Input/Output:

 

 

 

 

 

 

 

 

 

 

 

 

Level 1/Argument 1

 

Level 1/Item 1

 

 

 

 

 

 

 

x_unit

→

x

 

 

'symb'

→

'UVAL(symb)'

 

CONVERT,

 

 

 

See also:

UBASE, UFACT, →UNIT

 

 

 

 

 

 

 

 

V→

Command

 

 

 

Type:

 

 

 

Description:

Vector/Complex Number to Stack Command: Separates a vector or complex number into its

 

component elements.

 

 

 

 

For vectors with four or more elements, V→ executes independently of the coordinate system

 

mode, and always returns the elements of the vector to the stack as they are stored internally (in

 

rectangular form). Thus, V→ is equivalent to OBJ→ for vectors with four or more elements.

Access:

!´VECTOR V→

 

( ´is the left-shift of the Pkey).

Flags:

Coordinate System (–15 and –16)

 

 

 

Full Command and Function Reference 3-267