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A mathematical object is an abstract object arising in philosophy of mathematics and mathematics. Abstract object: Abstract and concrete are classifications that denote whether a term describes an object with a physical referent or one with no physical referents. Denoting, specifying, describing an "object" (wasn't the abstract object the ...

Jul 14, 2014 · Wikipedia claims that "A number is a mathematical object used to count, label, and measure", but this definition fails to make sense after we extend $\mathbb{R}$. Does anyone know of any definition of number that can be generalised to complex numbers as well (and even higher order number systems like the quaternions)?

Aug 27, 2020 · (The definition of a function as domain X, codomain Y, and graph G can be found in Wikipedia's Function.) With dot notation, I would write: $(a,b)\in f.G \iff (b, a) \in f^{-1}.G$ Is there any precedent/examples for dot notation to "access" a "member" of an "object" in math? Is the idea of a mathematical object common?

Dec 9, 2024 · Such an f is called an isomorphism of the graphs G and G′. While the definition seems to consider the set of vertices instead of labels, I’m confused because many textbook and internet examples express graph isomorphism as a map from labels to labels just like the below picture from Wikipedia.

Mar 15, 2022 · According to wikipedia a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns. Is there any mathematical object which is hexahedral (like cubic) array of numbers?

What I don't get is how can something "bring" information, and in mathematics, how a mathematical object (like a set) can "have" information. For example If I think about a set (a collection of objects), the only information that has is his cardinality?

The term canonical comes from the concept of canon, that is, when you follow a standardized way to do something, you follow the canon, hence the thing that you do is canonical.

Nov 25, 2023 · According to Wikipedia : In mathematics, a tuple is a finite sequence or ordered list of numbers or, more generally, mathematical objects, which are called the elements of the tuple. An n-tuple is a tuple of n elements, where n is a non-negative integer. I was wondering if I can call an array of 4 numbers in C programming language a 4-tuple.

Mar 12, 2021 · A neat way to do this is to find the concept in English Wikipedia and then switch the language. So, let's find the German for the two uses of field. Here is the English article for field in the mathematical sense: Field (mathematics) and here is the German: Körper (Algebra). Now, let's find the day to day meaning of Körper (using Google ...

May 9, 2020 · I found myself pondering this question when reading Wikipedia's page on Mathematical Objects. Wikipedia states. A mathematical object is an abstract concept arising in mathematics. In usual language of mathematics, an object is anything that has been (or could be) formally defined, and with which one may do deductive reasoning and mathematical ...