HP 49g+ hp 48gii graphing calculator Manuale Utente

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3-62 Full Command and Function Reference  
Access: 
…µ
FACT
 
Flags: 
Numerical Results (–3), Underflow Exception (-20), Overflow Exception (-21) 
Input/Output:  
Level 1/Argument 1 
 
Level 1/Item 1 
→ 
n! 
→ 
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 EQVPAR
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.