3d graphing

## 3d graphing

Input interpretation
3D plot | x^2 + y^2
3-d graph

## 3-d graph

Input interpretation
3D plot | x^2 + y^2
Force due to gravity

## Force due to gravity

Input interpretation
gravitational force (physical quantity)
Common symbol
F
Basic dimensions
[mass] [length] [time]^(-2)
Standard unit for gravitational force
N (newton)
Usage type
scalar | vector
Base physical quantity
force
Fractional equations

## Fractional equations

Input interpretation
frac(x) | identities
Result
frac(x) = -i frac(i x)
Find sum of series

## Find sum of series

Input interpretation
sum_(x=0)^infinity x^k
Result
sum_(x=0)^infinity x^k converges when Re(k) + 1<0
Partial sum formula
sum_(x=0)^n x^k = H_n^(-k) + 0^k
Domain of sinx

## Domain of sinx

Input interpretation
domain | sin(x)
Result
R (all real numbers)
(assuming a function from reals to reals)
Number line
Range of function
{y element R : -1<=y<=1}
Plots
Domain x or y

Domain is x or y

Range of e^x

## Range of e^x

Input interpretation
range | e^x
Result
{y element R : y>0} (all positive real numbers)
(assuming a function from reals to reals)
Number line
Domain of function
R (all real numbers)
Injectivity
injective (one-to-one) on its domain
Plots
Domain of 1/x

## Domain of 1/x

Input interpretation
domain | 1/x
Result
{x element R : x!=0}
(assuming a function from reals to reals)
Number line
Range of function
{y element R : y!=0}
Injectivity
injective (one-to-one) on its domain
Plots