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Miscelaneous
Including: Vectors, HYP Functions, Complex & Real Numbers.
 
Vectors         

ABS    
Calculates the norm of a vectror
The norm of a vector [ a b c ] is definite as SQRT(a^2 + b^2 + c^2)

Example:
Find the norm of the vector [2 3 4]

level 1: [2 3 4]
[MTH][VECTR][ABS]

Result: 5.38516480713

DOT    
Calculates the scalar product of two vectors.
The result is a number.

Example:

[2 3 4].[6 7 8]
level 2: [2 3 4]
level 1: [6 7 8]
[MTH][VECTR][DOT]

Result: 65

CROSS  
Calculates the vectorial produc of two vectors.
The result is a vector.

Example:

[2 3 4] x [6 7 8]

level 2: [2 3 4]
level 1: [6 7 8]
[MTH][VECTR][CROSS]

Result: [-4 8 -4]

->V2   
Convert numbers in levels 1 and 2 into a vector.

level 2: 9
level 1: 8
[MTH][VECTR][->V2]

Result: [9 8]

->V3   
Convert numbers in levels 1, 2 and 3 into a vector.

Example:

level 3: 4
level 2: 5
level 1: 8
[MTH][VECTR][->V3]

Result: [4 5 8]

V->   
Re-convert a vector into stack numbers.

Example:

level 1:[2 6 1 ]
[MTH][VECTR][V->]

Result:
level 3: 2
level 2: 6
level 1: 1

Hyperbolic Functions       

Hyperbolic functions are functions based on ex or exp(x).

sinh(x)=

ex - e-x 2

cosh(x)=

ex + e-x 2

tanh(x)=

ex - e-x ex + e-x

Example:
Calculate the sinh(5)

level 1: 5
[MTH][HYPER][SINH]

Result: 74.2032105778

Real & Complexes Numbers       

In HP 48 complexes numbers are represented between ( ).
as (real part, complex part)
Work with complexes numbers in HP48 is easy.
So I will cite the most useful functions.

RE       
Returns the real part of a complex number

Example:
Find the real part of (123, 456)

Level 1: (123, 456)
Press [MTH][NXT][CMPL][RE]
Result: 123

IM     
Returns the imaginary part of a complex number

Example:
Find the imaginary part of (123, 456)

Level 1: (123, 456)
Press [MTH][NXT][CMPL][IM]
Result: 456

ABS    
Returns the norma of a complex number

Example:
Find the real part of (123, 456)

Level 1: (123, 456)
Press [MTH][NXT][CMPL][ABS]
Result: 472.297575687

ARG      
Return the angle argument of a complex number
Example:
Find the angle argument of (123, 456)

Level 1: (123, 456)
Press [MTH][NXT][CMPL][ARG]
Result: 74.9044791558 (angle mode)
                     1.30732978576 (rad mode)
CONJ     
Return the conjugate of a complex number
Example:
Find the angle conjugate of (123, 456)

Level 1: (123, 456)
Press [MTH][NXT][CMPL][ARG]
Result: (123, -456)
 

Real Numbers

RND    
Rounds a number for a definite numbers of digits

Level 2: 1.8678987
Level 1:3
Press [MTH][REAL][RDN]

Result: 1.868

TRNC  
Truncates a number to the set numbers of digits

Level 2: 1.8678987
Level 1:3
Press [MTH][REAL][TRNC]

Result: 1.867

MOD    
Returns the rest of a division between two numbers

Level 2: 14
Level 1:3
Press [MTH][REAL][MOD]

Result: 2
Note: 8 / 3 = 4 and rest 2.

IP     
Show the Integer Part of a number

Level 2: 1.8678987
Press [MTH][REAL][IP]

Result: 1

FP     
Show the Fraction Part of a number

Level 2: 1.8678987
Press [MTH][REAL][FP]

Result:. 8678987

D->R   
Converts from Degree to radians

Level 2: 45
Press [MTH][REAL][D->R]

Result: .785398163397

R->D   
Converts from Radians to Degree

Level 2: .785398163397
Press [MTH][REAL][R->D]

Result: 45

CEIL   
Returns the mayor integer closest to the number

Level 2: 1,45
Press [MTH][REAL][CEIL]

Result: 2

FLOOR  
Returns the minor integer closest to the number

Level 2: 1,45
Press [MTH][REAL][FLOOR]

Result: 1

%    
Returns the percentage

Level 2: 100
Level 1: 12,67
Press [MTH][REAL][%]

Result:12.67