This is a draft cheat sheet. It is a work in progress and is not finished yet.
Sets
∈ |
"Is an element of..." |
∪ |
Union |
∩ |
Intersection |
⊄ |
"Is NOT a subset of... |
⊂ |
"Is proper subset of..." (some or all) |
⊆ |
"Is a subset of..." (some) |
∅ |
Empty Set |
A̅ |
Complement |
Set Builder Not. |
{formula for elements| restrictions} |
Logic
∧ |
Conjunction (AND) |
∨ |
Disjunction (OR) |
~ |
Negation (NOT) |
→ |
"If x, THEN y" |
↔ |
True with same value |
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Probability/Statistics
Permutations |
P(n,r) = n!/((n−r)!) |
Combinations |
C(n,r) = n!/(n−r)!r! |
Sample Space |
Set of all possible outcomes |
μ (Mean) |
Sum of set divided by length of set |
σ² (Variance) |
Calculate the mean For each number, subtract the mean and square the result Calculate the average of the squared differences, or sum up the squared differences and divide by N, the number of values. |
σ (Standard Deviation) |
Square Root of Variance (σ²) |
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Boolean Algebra
+ |
= ∨ |
· |
= ∧ |
T |
= 1 |
F |
= 0 |
(A+B) |
Parallel Circuit |
(A·B) |
Series Circuit |
Probability/Statistics
b= Binomial Probability |
b(x; n, P) = nCx Px (1 - P)(n - x) |
n= number of trials |
x= number of successes |
P= probability of success |
Binomial Distribution |
μ = n·P |
(cont'd) |
σ² = n · P · (1-P) |
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