Begin2.DVI

(Ben Green) #1

Greek Alphabet


Letter Name
A α alpha
B β beta
Γ γ gamma
∆ δ delta
E  epsilon
Z ζ zeta
H η eta
Θ θ theta
I ι iota
K κ kappa
Λ λ lambda
M μ mu

Letter Name
N ν nu
Ξ ξ xi
O o omicron
Π π pi
P ρ rho
Σ σ sigma
T τ tau
Υ υ upsilon
Φ φ phi
X χ chi
Ψ ψ psi
Ω ω omega

Notation


By convention letters from the beginning of an alphabet, such asa,b,c,...or the

Greek lettersα,β,γ,...are often used to denote quantities which have a constant


value. Subscripted quantities such asx 0 ,x 1 ,x 2 ,...ory 0 ,y 1 ,y 2 ,...can also be used to


represent constant quantities. A variable is a quantity which is allowed to change


its value. The lettersu,v,w,x,y,zor the Greek lettersξ,η,ζare most often used to


denote variable quantities.


Inequalities


The mathematical symbols=(equals), 6 =(not equal),<(less than),<<(much

less than), ≤(less than or equal), > (greater than), >> (much greater than)≥


(greater than or equal), and||(absolute value) occur frequently in mathematics to


compare real numbersa,b,c,.... The law of trichotomy states that ifaandbare real


numbers, then exactly one of the following must be true. Eitheraequalsb,ais less


thanborais greater thanb. These statements are expressed using the mathematical


notations^2


a=b, a < b, a > b

(^2) In mathematical notation, the statementb > a, read “b is greater than a”, can also be representeda < bor
“a is less than b ”depending upon your way of looking at things.

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