MATHEMATICAL LANGUAGE AND SYMBOLS Flashcards
REAL NUMBERS
natural whole integers rational irrational
NATURAL NUMBERS MEANING
contain ALL ‘counting numbers’ which start from 1
1, 2, 3, 4, 5, 6,…
WHOLE NUMBERS MEANING
collection of ZERO and ‘natural number’
0, 1, 2, 3, 4, 5, 6,…
INTEGERS MEANING
the ‘collective’ RESULT of ‘whole numbers’ and NEGATIVE of all ‘natural numbers’
(-∞),…-4, -3, -2, -1, 0, 1, 2, 3, 4,…,(+∞)
RATIONAL NUMBERS MEANING
‘numbers’ that can be written in the form of p/q, where q≠0.
1/2, 5/4, 12/6
IRRATIONAL NUMBERS MEANING
all the numbers which are NOT ‘rational’ and ‘cannot’ be written in the form of p/q.
NON-terminating and NON-repeating in nature like √2
SET
collection of OBJECTS represented as a ‘unit’
UNordered collection of OBJECTS
TYPES OF OBJECTS
elements and members
SUBSET
if ‘every’ member of ‘‘A’’ is member of ‘‘B’’
CARDINALITY OF NUMBER
if set ‘‘A’’ is FINITE, we denote the size of ‘‘A’’ as |A|
EQUALITY OF A GIVEN SET
'’A’’ is equal to ‘‘B’’, if ‘‘A’’ is a SUBSET of ‘‘B’’, ‘‘B’’ is a SUBSET of ‘‘A’’ and ‘‘A’’ is the CARDINALITY of ‘‘B’’
SET OPERATIONS
union intersection set difference symmetric difference complement
SET NOTATION
listing method
set builder notation
RELATIONS
shows a relationship between two values
FUNCTION
relation where each ‘input’ has only ONE ‘output’
