Factor; Factormod; Factors; Fanning - HP 48gII Advanced User's Reference Manual

...µ
Access:
Flags: Numerical Results (–3), Underflow Exception (-20), Overflow Exception (-21)
Input/Output:
See also: COMB, PERM, !

FACTOR

CAS: Factorize a polynomial to irreducible polynomials, or an integer to primes.

FACTORMOD

CAS: Factorize a polynomial modulo the current modulus.

FACTORS

CAS: For a value or expression, return a list of prime factors and their multiplicities.

FANNING

Type: Function
Description: Fanning Friction Factor Function: Calculates the Fanning friction factor of certain fluid flows.
FANNING calculates the Fanning friction factor, a correction factor for the frictional effects of
fluid flows having constant temperature, cross-section, velocity, and viscosity (a typical pipe flow,
for example). x
y is the Reynolds number. The function uses different computation routines for laminar flow
Re
(Re 2100) and turbulent flow (Re > 2100). x
that reduce to dimensionless numbers, and both numbers must be greater than 0.
...µ
Access:
Flags: Numerical Results (–3)
Input/Output:
See also: DARCY

FAST3D

Type: Command
Description: Fast 3D Plot Type Command: Sets the plot type to FAST 3D.
When plot type is set to FAST3D, the DRAW command plots an image graph of a 3-vector-
valued function of two variables. FAST3D requires values in the reserved variables EQ, VPAR,
and PPAR.
VPAR is made up of the following elements:
{ x ,x
left right
For plot type FAST3D, the elements of VPAR are used as follows:
• x and x
left
• y and y
near
3-62 Full Command and Function Reference
FACT
Level 1/Argument 1
n
x
'symb'
is the relative roughness (the ratio of the conduit roughness to its diameter).
x/D
FANNING
Level 2/Argument 1 Level 1/Argument 2
x
x/D
x
x/D
'symb'
'symb '
1
, y , y ,z ,z ,x ,x
near far low high min max
are real numbers that specify the width of the view space.
right
are real numbers that specify the depth of the view space.
far
and y must be real numbers or unit objects
x/D Re
y
Re
'symb'
y
Re
'symb '
2
, y , y ,x , y ,z ,x
min max eye eye eye step
Level 1/Item 1
n!
(x + 1)
'(symb)!'
Level 1/Item 1
x
fanning
'FANNING(x ,symb)'
x/D
'FANNING(symb,y
Re
'FANNING(symb ,symb
1
, y }
step
)'
)'
2