3-62 Full Command and Function Reference
Access: …µFACT
Flags: Numerical Results (–3), Underflow Exception (-20), Overflow Exception (-21)
Input/Output:
Level 1/Argument 1 Level 1/Item 1
n
→
n!
x
→
Γ(x + 1)
'symb'
→
'(symb)!'
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
x/D
is the relative roughness (the ratio of the conduit roughness to its diameter).
y
Re
is the Reynolds number. The function uses different computation routines for laminar flow
(Re ≤ 2100) and turbulent flow (Re > 2100). x
x/D
and y
Re
must be real numbers or unit objects
that reduce to dimensionless numbers, and both numbers must be greater than 0.
Access: …µ
FANNING
Flags: Numerical Results (–3)
Input/Output:
Level 2/Argument 1 Level 1/Argument 2 Level 1/Item 1
x
x/D
y
Re
→
x
fanning
x
x/D
'symb'
→
'FANNING(x
x/D
,symb)'
'symb' y
Re
→
'FANNING(symb,y
Re
)'
'symb
1
' 'symb
2
'
→
'FANNING(symb
1
,symb
2
)'
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
left
,x
right
, y
near
, y
far
,z
low
,z
high
,x
min
,x
max
, y
min
, y
max
,x
eye
, y
eye
,z
eye
,x
step
, y
step
}
For plot type FAST3D, the elements of VPAR are used as follows:
• x
left
and x
right
are real numbers that specify the width of the view space.
• y
near
and y
far
are real numbers that specify the depth of the view space.
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