chain of numbers or objects that usually follows a particular pattern and and its individuals called terms
pattern
a series that repeats and it has a rule which is a set of pre determined conditions or a set of guidelines follows
Golden ratio
a special number found by dividing a line into two parts so that the longer part divided by the smaller part is equal to the whole length divided by the longer part.
Fibonacci sequence
is a series of numbers where each number is the sum of the two preceding ones.
set
is a collection of well-defined objects
Fibonacci sequence
is a set of integers (the Fibonacci numbers) that starts with a zero, followed by a one, then by another one, and then by a series of steadily increasing numbers. The sequence follows the rule that each number is equal to the sum of the preceding two numbers.
Mathematics
can be both art and science.
Every function is a relation, but not every relation is a function.
Mathematics
is the science of patterns and relationships.
Equivalence relation
If a relation satisfies all the properties, that is a relation is reflexive, symmetric, and transitive
Symmetrical
This a figure that can be folded or divided into two with two halves which are the same.
patterns
regular, repeated or recurring forms or designs
connectives
ex. "+" = and
Mathematical sentence
correct arrangement of mathematical symbols that states a complete thought.
truth sentences
can be true or false. a fundamental importance in the mathematical language
conventionsinlanguages
makes it easy for a reader to distinguish between common noun and prouper noun
expression
does not state a complete thought. mathematical analogue of an english noun
sets
formal mathematical term by george carter in 1899
set
collection of well defined onjects
unit set
contains only one element
empty set
set that has no element
finite set
set is countable
infinite set
no nd or not countable
cardinal number
measure the number of elements in a given set
equal set
equal number of cardinals and the elements are identical
equivalent set
exact number of elements but not identical
universal set
all elements under discussion
joint set
have common elements
disjoint set
don't have common elements
roaster method
listing or tabulating the element of the set
set-builder method
stating , describing the common characteristics of the elements of the set
2 ways of describing a set
roastermethod
set-buildermethod
subsets
every element of A is also element of B
ordered pair
a pair of elements arranged in a specific order. The order in which the elements appear is important, and changing the order results in a different ordered pair.
union
A = { 1, 2, 3 }, B = { 4, 5 }. = { 1 2 3 4 5 }
intersection
a = { 1 2 3 } b = { 1 2 4 5 } = { 1 2 }
difference
a = { 1 2 3 } b = {1 2 4 5 } = { 3 }
complement
a = { a e i o u }, b = { a e } = { i o u }
venn diagram
illustration of the relationships between and among sets, groups, or objects that share something in common
relation
set of ordered pairs of real numbers such that to each element x of the set x there corresponds atleast one element of the set.