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May 2, 2024 · Use this glossary of over 150 math definitions for common and important terms frequently encountered in arithmetic, geometry, and statistics.
- Attribute
An attribute in math is defined as a characteristic of an...
- Algorithm
An algorithm in mathematics is a procedure, a description of...
- Binomial
A polynomial equation with two terms usually joined by a...
- Average
Average can mean the mean, the median, and the mode, it can...
- Y-Intercept
Finding the y-intercept of a parabola can be tricky....
- Array
For example, an array of 36 apples arranged in six columns...
- Angle
The word "angle" is derived from the Latin word "angulus,"...
- Base
Definition: The bottom of a shape, solid or three...
- Attribute
decimal number: a real number which expresses fractions on the base 10 standard numbering system using place value, e.g. 37 / 100 = 0.37. deductive reasoning or logic: a type of reasoning where the truth of a conclusion necessarily follows from, or is a logical consequence of, the truth of the premises (as opposed to inductive reasoning).
- Definitions in Math and in Other Subjects
- Properties of A Math Definition
- Examples of Definitions
- How Definitions Are Worded
- Properties ofMathematical Definitions
- No Standardization
- Imagesand Metaphors For Definitions
- Specifications
- References
"When I use a word, it means just what I choose it to mean--neither more nor less." -- Humpty Dumpty A mathematical definition is fundamentally different in two ways from other kinds of definitions, a fact that is not widely appreciated by students or even by mathematicians. The differences cause students much trouble.
The four rules below are absolute requirementsthat all mathematical definitions obey: 1. LP: The definition consists of a list of some of the propertiesof the concept (and nothing else). 2. EAP: Any example of the concept must have all the propertieslisted in the definition (not just most of them). 3. OAP: Every math object that has all the propert...
A mathematical definition prescribes the meaning of aword or phrase in a very specific way. The word or phrase is defined in terms of a list of required properties (LP), although the list may bedisguised by the wording. In this website, the word or phrase being defined iscalled the definiendum. The phrase thatgives the definition is called the defi...
There are many different ways to word a definition, and thislong section describes a great many of them. You may think that only agrammarian or a dictionary editor would appreciate such infinite attention todetail, but I recommend that you glance through the possibilitieslisted. You may discover 1. Some wordings that you may not recognize as defini...
Every proof originates solely in the definition
The special logical status of a definition (every true statement about the concept follows from the definition) is the reason that rewritingaccording to the definitions is a reasonable first step in comingup with a proof. Here are some seemingly contradictory points about the purple proseabove:
Thereare some very basic words with two common inequivalent definitions, and math texts don't always tell you which definition they are using.Examples:Thereare many, many words and phrases that have one definition that most texts use, but for which some texts give other definitions. For example, "positive" means "greater than zero" in almost all...Certain words and symbols have more than one meaning, and sometimes both those meanings are used in the same document.Certainwords and phrases have a standard meaning in one branch of mathematics and adifferentstandard meaning in another branch.Images and metaphors associatedwith the concept of definition, and the motivation behind theconcept, contribute greatly to understanding definitions, but images and metaphorscannot (directly) be used in proofs.
Because the definition of a math concept can be devious, it may be hard to see how you can use it in aproof. A specification of a mathematical concept is a set of statementsthat are all true of the concept and that suffice for many common uses, butwhich do not characterizethe concept. These are the mainpoints about specifications: 1. Everything the...
Lara Alcock and Adrian Simpson, Ideas from mathematics education, chapter 1.Bills, L., & Tall, D. (1998). Operable definitions in advanced mathematics: The case of the least upper bound. In A. Olivier & K. Newstead (Eds.), Proceedings of the 22nd Conference of the Internat...B. S. Edwards, and M. B. Ward, Surprises from mathematics education research: Student (mis) use of mathematical definitions (2004). American Mathematical Monthly, 111, 411-424.B. S. Edwards and M. B. Ward,The Role of Mathematical Definitions in Mathematics and inUndergraduate Mathematics Courses.Term in math is defined as the values on which mathematical operations occur in an algebraic expression. Let’s understand with an example of term. Both 8x and 9 are terms of this algebraic expression.
Jun 28, 2022 · Terms found in a counting and cardinality list include: Addition, subtraction, multiplication, and division are known as the order of operations. Students need to know the basic terms for these skills, including: subtraction - one number minus or taking away another number.
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Nov 26, 2024 · The term domain is most commonly used to describe the set of values D for which a function (map, transformation, etc.) is defined. For example, a function f(x) that is defined for real values x in R has domain R, and is sometimes said to be "a function over the reals."
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In fact, in what follows, we’ve compiled a list of 106 such terms — along with some in-depth exploration of their definitions, examples, relevance and implications. So if you’re ready to dive into this fascinating world that is known as mathematics, then let’s get started!
