math 3

53問 • 1年前

問題一覧

Is a system of symbols and roles used to represent and manipulate mathematical concepts and relationships

language of mathematics

Is a language because like other languages, it has a vocabulary, grammar, and syntax that allow people to communicate ideas and solve problems

mathematics

Include symbols, characters, and numbers used to represent mathematical concepts and operations such as addition, subtraction, multiplication, and division

notations

The seven sets of numbers

natural numbers whole numbers integers rational numbers irrational numbers real numbers complex number

The set of positive integers used for counting

natural number

The set of natural numbers including zero

whole numbers

The set of positive and negative whole numbers including 0

integers

Are a set of symbols which indicate the boundaries between independent mathematical expressions

delimiters

They are often used to specify the scope for which an operation or rule would apply and can occur both as an isolate symbol and as a pair of opposite looking symbols

delimiters

Delimiters are usually primarily used for

grouping purposes

decimal separator

ratio indicator

object separator

( ) or [ ]

order of operation indicators

{ }

set builder

| or :

"such that" markers

{

piecewise function marker

⌈ ⌉

ceiling operator

⌊ ⌋

floor operator

Is a symbol used to denote an operation – a function which takes one or multiple objects to another similar object

operator

Most of the OPERATORS are ____ and ____ in nature (for example taking one and two inputs to their intended target respectively) with the most common ones being the ARITHMETIC OPERATORS

unary binary

Much like the case in english, OPERATORS allow one to expand the _____ of mathematics where only finitely many symbols exist

lexicon

Sum of x and y

x + y

Difference of x and y

x – y

Additive inverse of x

–x

Product of x and y

x x y x · y xy

Multiplicative inverse or reciprocal of x

1/x x^-1

Quotient of x over y

x÷y x/y

Fraction (x over y)

x/y

x raised to the power of y

x^y

X plus and minus y

x ± y

Positive square root of x

✓x

Absolute value of x

|x|

X percent

Are used to express mathematical relations between multiple objects

relational symbols

Since RELATIONAL SYMBOLS form the building blocks of _______, they are of foundational importance in mathematics

mathematical sentences

X and y are equal

x = y

X and y are non equal

x ≠ y

X and y are approximately equal

x ≈ y

X is related to y (as defined by the relation R)

x ~ y xRy

X is equivalent or congruent to y

x ≅ y

Function f is proportional to function g

f ∝ g

X is less than y

x < y

X is greater than y

x > y

X is less than or equal to y

x ≤ y

X is greater than or equal to y

x ≥ y

Is a combination of numbers, symbols, and operators that represent a mathematical calculation or relationship

mathematical expression

This does not contain a complete thought

mathematical expression

It is a combination of symbols that are well defined according to rules that depend on the context

mathematical expression

Expressions that contains variables, numbers, and numerical operators

algebraic expressions

Expressions that only have numbers and mathematical operator

numerical expression

Expressions containing fractional numbers and mathematical operators

fractional expression

States a complete thought and makes a statement about the expression using either numbers, variables, or a combination of both

mathematical sentence

Business Finance

Sab Sescon · 46問 · 2年前

Business Finance