www.FireMath.info

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# Firemath - The Formula Editor

## Examples

The examples on this page serve as a tutorial. Follow the step by step instructions and you will learn how to use the various Firemath features.

[Hint: Right-click equations and choose 'Edit in Firemath' (requires Firemath 0.8 or later)]

$β 6 3 = β 2$ This is our Hello World example. Read about basic editing principles, navigation and attributes. More...

$sin⁡ x = ∑ n = 1 n odd ∞ -1 n 2 x n n !$ This example contains elements like fractions, over- and superscripts. You learn how to change opening and closing characters for fences, and how to change the attributes of fractions. More...

$ℳ m n = x ∈ ℝ n x i > 0 x ∞ = m i = 1 … n$ Discussing this example, we quickly dive into the possibilities offered by fences. More...

$det a 0 a 0 a a = 0 , if a = 0 a 4 , else$ In this example we use mtables for the matrix and for the case differentiation. More...

$G⁡ β = lim n → ∞ n ! n β - 1 β β + 1 ··· β + n - 1$ This is the one mouse-click example. It demonstrates Firemath's extensive keyboard support. More...

## More Examples

The following examples give further impressions of what is possible with Firemath. $lim x → 0 sin⁡ x x = 1$

$I⁡ E = I 0 E ⅇ - ∫ 0 ∞ ⅆ x μ⁡ x E$

$α α = α ∑ a ′ a ′ a ′ α$

$a 1 1 a 1 2 a 2 1 a 2 2 v 1 v 2 = λ v 1 v 2$

$∫ ⅆ x a x 2 + b x + c = 1 a arsinh⁡ 2 a x + b 4 a c - b 2 , if a > 0 , 4 a c - b 2 > 0 - 1 - a arcsin⁡ 2 a x + b b 2 - 4 a c , if a < 0 , 4 a c - b 2 < 0$

$Δ = ∂ 2 ∂ r 2 + 2 r ∂ ∂ r + 1 r 2 1 sin⁡ θ ∂ ∂ θ sin⁡ θ ∂ ∂ θ + 1 sin 2 θ ∂ 2 ∂ ϕ 2$

$π 2 = 1 + 1 1 + 1 1 2 + 1 1 3 + 1 1 4 + 1 1 5 + ···$