Root ∛x = x˅3
Logarithm logₑx = x⍻e
Limit e = ｢(1+1/n)˄n Ƚn￫∞｣
Summation e = ｢1/n! Σn=1,∞｣
Product n! = ｢i Πi=1,n｣
Permutation ｢nꝐr｣ = n!/(n−r)!
Combination ｢nꞒr｣ = ｢nꝐr｣/r! = n!/((n−r)!·r!)
Differentiate (e˄x)ᐁx = e˄x
Integrate (1/x)ᐃx｢1,e｣ = 1
Power Series
｢cₙ·x˄n Σn=0,∞｣
Taylor Series
｢f(x)ᐁⁿx｢a｣/n!·(x−a)˄n Σn=0,∞｣
Maclaurin Series
｢f(x)ᐁⁿx｢0｣/n!·x˄n Σn=0,∞｣
⟂ỻỺƤ◓◒Ƨ⭘∘
2 dimensional number
a+bi
= [a,b]
┆r=(a²+b²)˅2,φ=↗⌝(b/a)┆
= [r·→φ,r·↑φ]
= [r∠φ]
Upper Riemann sum
｢sup(f(x))ƧP[a,b]｣
= ｢S⸤i⸥(x⸤i⸥−x⸤i−1⸥) Σi=0,n｣
where S⸤i⸥ = sup{f(x):x⸤i−1⸥≤x≤x⸤i⸥}
Lower Riemann sum
｢inf(f(x))ƧP[a,b]｣
= ｢I⸤i⸥(x⸤i⸥−x⸤i−1⸥) Σi=0,n｣
where I⸤i⸥ = inf{f(x):x⸤i−1⸥≤x≤x⸤i⸥}
Left Riemann sum
｢f(min(x))ƧP[a,b]｣
Right Riemann sum
｢f(max(x))ƧP[a,b]｣
