math
Assist businesses by working on their taxes and planning for upcoming years.
Accountants
determines the proper amount of fertilizer pesticides and water to produce bountiful amount of foods. they must be familiar with chemistry and mixture problems.
Agriculturist
design buildings for structural integrity and beauty. They must know how to calculate loads for finding acceptable materials in design which involve calculus.
Architects
study nature to act in concert with it since we are very closely tied to nature. the use proportions to count animals as well as use statistics/probability.
Biologist
build products, structures, systems like automobiles, buildings, computers, machines, and planes to name just a few examples.
Engineers
same thing always happens in the same circumstances.
Regularity
it is a discernible regularity in the world or in a man-made design.
Pattern
visible regularities of form found in the natural world.
Patterns in nature
it includes symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks, and stripes.
Natural patterns
is a kind of pattern form of geometric shapes and typically repeated like a wallpaper design.
Geometric pattern
an agreement in dimensions, due proportion and arrangements.
Symmetry
is one of a series of regular sinuous curves bends, loops, turns, or windings in the channel of a river, stream, or other watercourse.
Meander
it is a disturbance that transfers energy through matter or space, with little or no associated mass transport.
Wave
it is a substance formed by trapping packets of gas in liquid or solid.
Foam
flat surface is the tiling of a plane using one or more geometric shapes, called tiles with no overlaps and no gaps.
Tessellation
it is the separation of an object or material into two or more pieces under the action of stress.
Cracks
are made by a series of bonds or strips, often of the same with and color along the length.
Stripes
it is a never ending pattern. these are infinitely complex patterns that are self similar across different scales.
Fractal
it is an ordered list of numbers, cold terms that may have repeated values.
Sequences
is a list of numbers in which a constant numbers added to get the succeeding terms.
Repeating pattern
the number to be added is increasing.
Growing pattern
the number to be added is decreasing.
Shrinking pattern
N
Natural numbers
W
Whole
Z
Integers
Z+
set of positive integers
Z-
set of negative integers
Q
Rational / Terminating
Q'
Irrational / Non-terminating
R
Real numbers
it is used to express formula or to represent a constant.
Symbols
it is used to make the expression well formed to make the characters and symbols clear and valid that do not violate the rules.
Syntax
+
Add
-
Subtract
x
Multiply
÷
Divide
/
Divide
π
pi
∞
Infinity
=
Equals
≈
Approximately equal to
≠
Not equal to
<, ≤
less than, less than or equal to
>, ≥
Greater than, greater than or equal to
√
Square root
X°
Degrees
the use of mathematical symbol is only done based on the meaning and purpose.
Precise
able to say things briefly.
Concise
able to express complex thoughts with relative ease.
Powerful
PEMDAS
parenthesis, exponents, multiplication and division, addition and subtraction
BODMAS
brackets, order, division nd multiplication, addition and subtraction
is a collection of well defined objects that contains no duplicates.
Set
the objects in the set are called.
elements of the set
the three dots in enumerating the elements of the set are called
Ellipsis
contains elements that can be counted and terminates at certain natural numbers.
Finite set
cannot be counted and non-terminating at certain natural number.
Infinite set
it has no members at all.
Empty set / Null set
a set with only one member
Singleton set
two sets are equal if they contain exactly the same elements.
Equal sets
two sets are equivalent if they contain the same number of elements.
Equivalent Sets
asset that contains all the elements considered in a particular situation and denoted by U.
Universal Sets
it is a subset that is not equal to the original set.
Proper Subsets
it is a subset that is equal to the original set.
Improper Subsets
it is the family of all subsets.
Power Set
it is a number of distinct elements belonging to a finite set.
Cardinality of the Set