Arity Mod

Arity Calculator was written by Mihai Preda, and is open source. It uses the "Arity" arithmetic library.

Адаптировано для Android 4.x by Naik. Special mod for KI-14-1 :) Enjoy!

Sample expressions

simple expression: 1+2

variable evaluation: pi

function evaluation: sin(0)

variable definition: a=3.5

function definition: f(x)=x^2-1

parentheses: (1-x)^2

To enter an expression cointaining letters, such as sin(x), use the ⇳ key on the basic keypad. It toggles opened/closed the letter keypad.

Predefined functions

Logarithms and power

sqrt(x): square root; x^0.5

cbrt(x): cube root; x^(1/3)

exp(x): exponential; e^x

log(x), ln(x): natural logarithm

log2(x), lb(x): binary logarithm

log10(x), lg(x): decimal logarithm

log(base,x): arbitrary base logarithm

Trigonometric - radians

sin(x), cos(x), tan(x)

asin(x), acos(x), atan(x)

Trigonometric - degrees

sind(x), cosd(x), tand(x)

asind(x), acosd(x), atand(x)

Hyperbolic

sinh(x), cosh(x), tanh(x)

asinh(x), acosh(x), atanh(x)

Other

gcd(x,y): greatest common divisor

comb(n,k): combinations

perm(n,k): permutations

min(x,y), max(x,y)

floor(x), ceil(x)

abs(x): absolute value

sign(x): signum

rnd(): random value from [0,1). rnd(max): random value from [0, max).

gamma(x): (x-1)!

mod(x,y): modulo

Complex numbers

i or j is the complex base. Example:

i*i

(1+i)^2

e^(i*pi)

Operators

+ - × ÷ basic arithmetic

^ power

% percent

! factorial

# modulo

√ square root

' first derivative

Tips

Parentheses: you may omit the leading or final parentheses, e.g. 1+2)(3+4 is valid.

Multiplication: you may omit the multiplication operator when unambiguous, e.g. 3π+2(1+2)

Expression continuation: starting a new expression with an operator auto-inserts ans, the result of the last expression.

Clear: use the Enter key to quickly erase the whole input line.

Scientific e notation: 1e3 is 1000.

Angles in degrees instead of radians: use either sind(90) or sin(90deg).

Use trackball Up/Down to navigate the history.

Derivative

It is possible to compute the first derivative of a function with one argument using the prime notation: log'(5).

The prime mark (quote) must appear immediately after the name of the function, and must be followed by open-parentheses.

The derivative may be plotted e.g. sqrt'(x).

To compute the derivative of an expression you must define the expression as a named function: E.g. f(x)=x^3+x^2+1, followed by f'(x).

Multi plot

To plot multiple functions on the same 2d graph, simply enter them on the same line separated by ";". E.g. x;x^2;2

Binary, octal, hexadecimal

You can enter values in binary, octal or hexadecimal by prefixing them with 0b, 0o or 0x respectivelly, such as:

binary: 0b1010

octal: 0o17

hex: 0x100