can also compute Sqr on all items of a list
2 Sqr gives 1.4142135..example 2 (with complex)
(-1;0) Sqr gives { (0;1) (0;-1) }there are the two roots of -1 !!
example 3 (a list)
{1 2 3} Sqr gives {1 1.41.. 1.73..}can be used as xroot
usefull to get all roots of complex
2 3 x^y compute 2^3 and gives : 8example 2
2 3 1/x x^y compute 2^(1/3) and gives 1.259..
example 3 (complex)
(1;1) 3 x^y gives (-2;2)example 4 (complex)
(1;1) 3 1/x x^y gives {(1.08;0.29)(-0.79;0.79)(-0.29;-1.08)}there are the 3 roots of (1;1) complex number, and are given in a list. (1;1)^1/3
2 e gives 7.389..exemple 2 complex
(2;1) e gives (3.99;6.21)exemple 1
PI 3 / SIN gives 0.866..now, just click on
button (upper-right) and now 0.866 is displayed as sqr(3)/2yes : sin(pi/3) = sqr(3)/2
exemple 2 complex
(2;1) SIN gives (1.403;-0.489)(1;1) C->R@ gives 1.414213 0.78539ok, now go into rational mode display (click on
) you will see the results displayed as : Sqr(2) pi/4sqr(2) is the module and pi/4 is the angle.
when you are in rational mode display, just the display is affected, value are stored with all digits.
(1;1) (0;-1) / gives (-1;1)means that (1+i)/-i = -1+i
<>(r;@)
to switch polar/rect. mode
(-1;1) <>(x;y) gives (1.4142 @:2.3561)if you are in rational mode display
you will get (sqr(2) @:3*pi/4)exemple go into rect.
(1.4142 @:2.3561) <>(r;@) gives (-1;1)[[1 2 3][-1 1 1][2 3 3]] DET gives -5exemple 2 complex
[[1 2][(-1;1) 1]] DET gives (3;-2)system solving
How to solve this system ?
{ 3x + (1-i)y = 1
{ (2+i)x + iy = 1+i
That simple, just type that :[1 (1;1)] [[3 (1;-1)][(2;1) (0;1)]] /
and you will get the x and y :[[(0.4;0.2)][(0.2;-0.4)]]that mean that x = 0.4 + i*0.2
and y = 0.2 - i*0.4
- drag-and-drop a file into RPN-Enh or directly make a string with file path/name
example :"C:\boot.ini" - Use the FileRead function to get the content of the file on the stack
FileReadgives"[boot loader]·¶timeout=30·¶default" - Now you can encode in base64
use function->B64, it gives"W2Jvb3QgbG9h..." - type a new name for this file and write it
"c:\boot.base64" FileWrite
You can easily (and safely) decode an email attachment by selecting in email source the base64 attachement code, just drag-and-drop it into RPNEnh and use B64->.
a list of the 10 first prime numbers :
10 PRIMES gives { 2 3 5 7 11 13 17 19 23 29} 63 Factors gives { 3 3 7 } because 63 = 3*3*7