MMW, SETS Flashcards
“∈” MEANS
AN ELEMENT OF A SET/ BELONGS TO A SET
“∉” MEANS
NOT AN ELEMENT OF A SET/ DOES NOT BELONG TO A SET
SPECIFIES A SET BY WRITING ALL OF ITS ELEMENTS BETWEEN BRACES
SET- ROSTER NOTATION
”{ a, b }” MEANS
A SET (CONTAINING A AND B)
”{ a, b}”, a AND b ARE CALLED:
ELEMENTS (OF THE SET)
”{ 1, 2, 3, …, 500}”; WHAT IS “…” CALLED? (IT IS READ ‘AND SO FORTH’)
ELLIPSIS
{1, 2, 3, …, } IS CALLED ____ SET
INFINITE
SAYS THAT A SET IS COMPLETELY DETERMINED BY WHAT ITS ELEMENTS ARE- NOT THE ORDER IN WHICH THEY MIGHT BE ENLISTED OR THE FACT THAT SOME ELEMENTS MIGHT BE LISTED MORE THAN ONCE.
AXIOMS OF EXTENSION
SYMBOL “R” REPRESENT
SET OF ALL REAL NUMBERS
SYMBOL “Z” REPRESENT
SET OF ALL INTEGERS
SYMBOL “Q” REPRESENT
SET OF ALL RATIONAL NUMBERS OR QUOTIENTS OF INTEGERS
“0” IN THE NUMBER LINE IS CALLED
MIDDLE POINT OR ORIGIN
EACH POINT TO THE LEFT OF ORIGIN IS CORRESPONDS TO:
NEGATIVE REAL NUMBERS
EACH POINT TO THE RIGHT OF ORIGIN CORRESPONDS TO:
POSITIVE REAL NUMBERS
TRUE OR FALSE: 0 IS A POSITIVE NUMBER
FALSE; ZERO IS NEITHER POSITIVE NOR NEGATIVE
TRUE OR FALSE: 0 IS A POSITIVE NUMBER
FALSE; ZERO IS NEITHER POSITIVE NOR NEGATIVE
3 PARTS OF A SET OF REAL NUMBERS:
- SET OF POSITIVE REAL NUMBERS
- SET OF NEGATIVE REAL NUMBERS
- ZERO
REAL NUMBER LINE IS CALLED ____ BECAUSE IT IS IMAGINES TO HAVE NO HOLES
CONTINUOUS
CORRESPONDS TO A COLLECTION OF POINTS LOCATED AT FIXED INTERVALS ALONG THE REAL NUMBER LINE
SET OF INTEGERS
TRUE OR FALSE: NOT ALL INTEGERS ARE REAL NUMBERS
FALSE; EVERY INTEGER IS A REAL NUMBER, BECAUSE THE INTEGERS ARE ALL SEPARATED FROM EACH OTHER
SET OF INTEGERS IS CALLED ___
DISCRETE
COMES FROM THE DISTINCTION BETWEEN CONTINUOUS AND DISCRETE MATHEMATICAL OBJECTS
DISCRETE MATHEMATICS
“Z+” REPRESENTS
SET OF POSITIVE INTEGERS
