Mathematical Language And Symbols Flashcards
is a complex system of words and symbols, either spoken or written, used by a particular
community as a means of communication.
Language
Every language has its vocabulary (the words) and its rules for combing these words into complete thoughts
(the sentences).
Language of Mathematics
Math is comprised of primarily two things, what is it?
Number and symbol
Very fine distinction
Precise
Able to say things briefly
Concise
able to express complex thoughts with relative ease
Powerful
used to name things we want to talk about (like people, places, and things)
Noun
used to state complete thoughts
Sentences
The mathematical analog of a ‘noun’ are called?
expression
A name given to a
mathematical object of interest
Expression
The mathematical analog of a ‘sentence’ will also be called?
Sentence
The most common expression types are
Numbers, sets and function
An expression is the mathematical analog of an ?
English Noun
A mathematical sentence is the analog of an
English Sentence
it is a correct arrangement of mathematical symbols that states a complete thought.
mathematical sentence
it is a correct arrangement of mathematical symbols that states a complete thought.
Mathematical expression
that word use the language of sets
“is”
is a collection of objects, and in mathematical discourse, these objects are mathematical ones such as
numbers, points in space, or other sets.
sets
The members of a set are usually called it’s?
element
the symbol ∈ is usually read?
the “is” of the sentence (3) is more like ∈ than =.
“is an element of”
in virtually any mathematical sentence where the phrase appears, it is followed by the name of a number.
Functions
is, roughly speaking, a mathematical transformation of such a kind.
function
a noun phrase that again denotes
a number and plays a similar grammatical role to one (at least when the number is used in its noun sense rather
than its “adjective” sense).
function
It behaves like an adjective rather than
a noun, and refers to a property rather than an object.
Relations
