Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [definition]

For requesting, clarifying, and comparing definitions of mathematical terms.

Definitions are at the core of mathematical precision; they answer the question "What is X?" in mathematics. Into this category fit questions regarding equivalence of definitions, clarification of complicated definitions, or proposed new definitions for mathematical notions, with requests for improvements or comments.

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Problems understanding definition for open and connected?

I have some problems understanding the following definition DEFINITION A set of points A of the xy plane is called connected if any points of A can be joint by a continuous curve lies entirely in A. A set of points A of the xy plane is called open…
Crazy
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a formal definition of self-conjugacy

C(n) := number of integer partitions of number For instance: 43 = 7 + 5 + 5 + 4 + 4 + 4 + 3 + 2 + 2 + 2 + 2 + 2 + 1 ------------------------------------------------- Integer Partition of 43 with 13 parts we can use this to make a picture( …
S.káham
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Is there a definition that defines the set of all factors of a natural number?

So let's say that you have the number $n=12$. The factors of $12$ are $1$, $2$, $3$, $4$, $6$, and $12$. I'm wondering if there's some definition that when you plug in a natural number $n$, it will give you the set of all of it's factors. So, if I…
Sam
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Is this task defined mathematically correctly?

I wish to make a math model for predicting users clicking on context advertising. Math definition: Let $X$ be the set of users, and $Y$ be the set of adverts. We make a mapping $F: X×Y→P$ that should map a concrete user and concrete advert to the…
user3378283
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Can we consider following definitions to be equivalent?

example 1 Suppose we define $A_1$ as $A_1=B$ and $A_2$ as $A_2=-B$. Next suppose $B|A_1=-5$ and $B|A_2 =5$ (where $y|x=c$ denotes $y$ conditional on $x$ is equal to $c$). Is it valid to claim that given the system above $A_1 \Leftrightarrow A_2$…
1muflon1
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How these statements are defined by a single word?

How to describe these statements in one word? It takes values from a given set of values It is an algebraic expression where the only operation is multiplication. It is the algebraic sum of monomials. It remains invariant irrespective of time…
John
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Why is 1 divided by aleph null undefined?

So recently I have been thinking about infinity, and one of the things that I thought of was if you were able to get a defined value for the reciprocal of a transfinite (cardinal) number. So, I plugged $\frac{1}{א_0}$ into WolframAlpha and it said…
Nero Hemiquasci
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Is binominal the same as boolean?

In the case of describing an attribute type which has two values (yes or no) is binominal the same as boolean? A source would be great.
user3352632
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Definition of $\mathbb{Z}/n\mathbb{Z}$

The precise definition given in Dummit and Foote (sec 0.3, pg. 9) is the following: The definition of elements in residue class $x$ are those that are between $\bar0, \bar1, ..., \overline{x-1}$. Any integer congruent to any of these elements can…
Jossie Calderon
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