Grahics - Notation Summary

precise, concise

notation is used to make explanations __*<word> and <word>*__

consistent

notation helps to make explanations clear

N

: the set of natural or counting numbers, i.e. 1,2,3,4…

Z

the set of all integers negative, zero, positive

Q

: the set of all rational numbers, numbers that can be represented by a fraction

R

: the set of real numbers continuous and not discrete

\+,-

super scripts <symbol>,<symbol> may be used to inidcate positive and negative subsets, E.g. R+ means the positive real numbers, Q- means the negative rational numbers

T

T/F negative and positive are not opposites because you cannot prove that zero is either positive or negative

E

means element of, and meaning not an element of.

Capital Letters

Matrices are named with (two words)

lowercase bold letters

Vectors are named with (three words)

lowercase italicized letters

scalars are named with (three words)

greek letters

angles are named with (two words)

position

points only have

direction, magnitude

vectors have <quality>, <quality>

brackets

each pair of marks used to enclose words or figures so as to separate them from the context

Parentheses, Round Brackets

() are called

<colloquial> , <formal>

used to denote open interval

Braces, Curly Brackets

{} are called

<colloquial>, <formal>

Brackets, Square Brackets

\[\] are called

<colloquial>, <formal>

used to denote closed intervals

Chevrons, Angle Brackets

<> are called ,

implies

→ means

there exists

Backwards E means (two words)

perpendicular

⊥ means

parallel

∥ means

does not imply

⇏ means (three words)

if and only if

⇔ means (four words)

is defined to be

\:= or three horizontal lines means (four words)

for all

∀ means (two words)

therefore

∴ means

because

∵ means

QED

∎ means

(0, 1\]

Write an interval from 0-1 that includes 1 but not 0

24

how many greek letters are there