Questions tagged [terminology]
For questions about terms, definitions and related concepts used in science and mathematics.
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First use of term "Hilbert's Nullstellensatz"
This year (2021) marks the 100th anniversary of Emmy Noether's 1921 paper in which she introduced Noetherian rings and proved the primary ideal decomposition for them. The original version of her ...
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Who was the first to use the "does not exist" sign ∄?
Who was the first to use the "does not exist" sign ∄? I'm aware that Giuseppe Peano originated serifed ∃ and, moreover that Whitehead and Russell repurposed Peano's serifed ∃; I'm also aware that ...
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Whence “homomorphism”, “homomorphic”?
The kernel question leads to another : Today, homomorphism (resp. isomorphism) means what Jordan (1870) had called isomorphism (resp. holoedric isomorphism). How did the switch happen?
“Homomorphic” ...
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Who coined the Hawaiian Earrings?
I hope to know who first used the name "Hawaiian Earrings."
Barratt, Milnor(1962) says "This example was suggested by Steenrod" in its Introduction:
https://www.ams.org/journals/...
user12897
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How did early physicists experimentally assign electronic transitions in atoms?
The spectrum of hydrogen was very well studied by the mid-19th century. However, if one were doing experimental spectroscopy for more complex atoms, one would see plenty of spectral lines in the ...
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Is $\Gamma^i_{jk}$ the Christoffel symbol or the Christoffel symbols?
For years, I have been perplexed that the expression $\Gamma^i_{jk}$ is often referred to in the plural as "the Christoffel symbols", although sometimes it is referred to in the singular as "the ...
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Who coined the term: "Directed Graph"?
I found that the term "Digraph" was coined in 1955 by Frank Harary in "The number of linear, directed, rooted, and connected graphs", and that it was a term actually suggested by ...
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Where is the first reference to the "Z combinator", a call-by-value fix-point combinator?
I'd like to know the earliest reference to the Z-combinator. This could be either where the name was first coined, or even the first discussion of a need for an applicative-order Y combinator. I didn'...
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Origin of the expression “Fundamental theorem of Algebra”
Who was the first person to use the expression “Fundamental theorem of Algebra”? It is well-known that Gauss called it “Fundamental theorem of algebraic equations”. Grattan-Guiness, in his The Rainbow ...
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Origin of the Hankel contour?
Who was the first to publish a Hankel contour integral?
See notes in my answer to the MO-Q How does one motivate the analytic continuation of the Riemann zeta function?.
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Terminology associated with mathematical induction
In "Number: The Language of Science" (1930), Tobias Dantzig refers to what we call the base case of mathematical induction as "the induction step" (and refers to what we call the ...
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How did the terms stress and strain come to describe two different things?
In physics, stress essentially captures forces in a body, where as strain captures displacements. Two dimensionally very different concepts. If you look it up in a thesaurus, stress and strain are ...
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Who was the first to use the term field in physics?
Faraday, after drawing his lines of force in 19th century, is normally credited as the first to use the term field in physics. But...
... was not the term field used in the context of gravitational ...
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Who coined the term Orthonormal?
Does anyone know who coined the term orthonormal to refer to a basis that is orthogonal and normal?
In such a poorly named mathematical world (looking at you, conditionally convergent series) I think ...
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The term "constant" in "integration by parts" ("partielle Integration")
In Riemann's "Ueber die Darstellbarkeit einer Function durch eine trigonometrische Reihe", Riemann mentions taking a factor as "constant" in "partial integration", which ...
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Why did Galileo pick "temperatura" to signify 'degree of heat or cold'?
Etymonline avouches that
Sense of "degree of heat or cold" first recorded 1670 (Boyle), from Latin temperatura, used in this sense by Galileo.
But "degree of heat or cold" doesn'...
user3478
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Where does the term "arm's-length recursion" come from?
I've recently seen the term "arm's-length recursion" for a recursive method with a check that short-circuits the method's true or intended base case. What's the origin of this term? How did ...
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Origin of the term 'index of a subgroup'
The index of a subgroup $H$ in a group $G$ is the number of distinct cosets of $H$ in $G$.
Why did someone decide to call this an 'index'?
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Old geometry terminology
I was reading Ramsey's 1927 paper "A Contribution to the Theory of Taxation" and came across the following paragraph:
"We have $\lambda_1 = \mu_1,\ldots,\lambda_m = \mu_m$, $m$ hyperplanes ($n-1$ ...
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Why did "cold fusion" come to mean Fleischmann-Pons fusion instead of μCF?
Muon-catalysed fusion is obtained at low temperatures, although as of 2018 its energy yield is less than the muon production requirements. The term "cold fusion" was first used in the 1950s, ...
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What is the name given to the principle that guides mathematical conventions like the product of two negative numbers is positive
I recall that I read---in a book by Constance Reid---of a named principle that guided the arithmetic conventions that applied to operations on newly discovered mathematical objects.
For example, when ...
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Etymology of 'qubit'; is there any relation to cubits?
Whilst several not-very-authoritative sources e.g. Wikipedia state that the word qubit was derived, partially, as a play on the word cubit (obviously it also stands for 'quantum bit'), is there any ...
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Why are rings called rings?
I copied the question from https://math.stackexchange.com/q/61497/378968 because I think it is more suitable for this site and I think an answer to this question here could do better than: Hilbert ...
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History of the Wreath product
Why is the wreath product so named?
If possible, please provide a citation.
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Who coined the name "cosmological constant"?
I am aware that Albert Einstein first added the $\Lambda$-term to his field equations in his 1917 paper "Cosmological considerations in the general theory of relativity" (german: "...
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When was Lipschitz equivalence first attributed to Lipschitz or did Lipschitz formulate it himself?
In his book Introduction to Metric and Topological Spaces, author Wilson A Sutherland in explaining the equivalence of metrics invoked the definition:
Two metrics $d_1, d_2$ on a set $X$ will be ...
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When was the term "Sparingly soluble" first introduced in chemistry?
This question is inspired from: Why do we call salts such as AgCl sparingly soluble?
The extent of solubility can be expressed as descriptive terms. U.S. Pharmacopoeia has made the following ...
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At what point did "Archean" go from meaning the entire Precambrian to just the middle part?
I can't find the exact date when the Archean began to mean "the middle of the Precambrian", as opposed to the beginning or the whole thing. It is some time after 1925 and before 1972.
...
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Context of the discovery of ultraproducts
Łoś's theorem is a fundamental theorem in model theory (a branch of mathematical logic).
Historical question: What was Łoś's original motivation to define ultraproducts and prove Łoś's theorem? Which ...
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On the origin of "sandwiches" in quantum mechanics
The term "sandwich" and the verb "to sandwich" appear pretty common but informally in quantum mechanics. Generally when describing some kind of inner product of the form:
$$\langle ...
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Why are faithful actions called faithful and who first called them faithful?
This is a cross post from MSE
I want to know why are faithful actions called faithful and who first called them faithful?
Definition: An action $G$ on $X$ is faithful when ${g_1 \neq g_2 \Rightarrow ...
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What does the "G" for the similitude groups stand for?
When we have a bilinear symmetric/ bilinear anti-symmetric/hermitian form $b$ on a real/complex vector space $V$, one can consider the group of invertible matrices $A \in GL(V)$ which respect $b$, ...
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origin of the terms "domain" and "range"?
A 1929 paper of Chittenden contains the following sentence (about the derived set operator on a space $P$):
“Thus the relation $E' = K(E)$ defines a single-valued set-valued set-function, whose ...
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Why is $\eta$ used in $\eta$-conversion?
In lambda calculus there are three types of reduction,
$\alpha$-renaming
$\beta$-reduction
$\eta$-conversion
The use of $\eta$ in $\eta$-conversion seems rather strange to me. Since they already ...
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Set Theory, onto and into their relation to spoken language definitions
Does anyone know how the definitions for onto and into map to the spoken language definitions of the words? I compared the Bourbaki definitions to these words and have a suspicion that the German ...
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What is the history of why electrical circuit diagrams list positive as the direction of electron flow?
In the study of electrical engineering circuit diagrams it is usually the norm to show the + ( positive ) polarity as the direction of motion. However in reality the electron is the elementary ...
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Which is the first reference using the terminology "Chinese Remainder Theorem" for this theorem?
The Chinese Remainder Theorem is one of the fundamental theorems in modular arithmetic. As far as I know, this terminology for the theorem is due to the fact that the Chinese mathematicians were the ...
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Dissemination of Calculus in China
Much has already been written about the dissemination of Euclidean geometry into China: https://www.maa.org/press/periodicals/convergence/mathematical-treasure-euclid-in-china, https://academic.oup....
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Origin of $V_a$ (median) notation
My question about median of a triangle.
The English equivalent of the Turkish word "kenarortay" is "median". In English-language geometry sources (like books or web pages), the ...
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Poisson's laws for adiabatic processes
I've been reading about Thermodynamics lately. The set of equations satisfied in an adiabatic process (and also more generally in polytropic ones) is:
$$p_1V_1^\gamma = p_2V_2^\gamma$$
$$T_1V_1^{\...
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Katz's symbol 兄 for Gauss-Manin connections
In his famous 1970 paper [1], Nicholas Katz used the character 兄 for the Gauss-Manin connection. I have always been curious about the history behind this symbol.
Question: What motivated Katz to use ...
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Why is 'total angular momentum' denoted by the letter $J$ in quantum mechanics?
In quantum mechanics, we say $J$ ('total angular momentum') = $L$ ('orbital angular momentum') + $S$ ('spin angular momentum').
Apparently $S$ is from 'Spin', but why $J$ for the total angular ...
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Who coined the term "sulphuretted hydrogen"?
Hydrogen sulfide was previously named "sulphuretted hydrogen" but I can't find the person who named/coined it. Although Carl Wilhelm Scheele is credited to have discovered and isolated the ...
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Usage of "sphere" as ball's surface vs as ball itself
In everyday English, "sphere" means a round object. People will think of the insides as part of the sphere.
In Mathematics it specifically means the surface of the ball.
How did the ...
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What is the earliest use of the $\perp\!\!\!\!\perp$ symbol in statistics to denote statistical independence?
The symbol $\perp\!\!\!\!\perp$ in statistics is a way to denote statistical independence of a collection of random variables. I have seen two forms of it. The first is highly suitable in writing ...
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First example of regularization
Background:
I like to think of L'Hospital as one of the earliest authors of least-squares regression.
L'Hospital, G. (1696). L'analyse des infiniment petits pour l'intelligence des lignes
courbes.
I'm ...
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Classification of "Epitaph of Diophantus" problem
The well-known riddle of the Epitaph of Diophantus, attributed to Metrodorus, is one of the style of simple problem in algebra whose pattern when expressed in contemporary algebraic notation is:
$$x = ...
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How has $\tan(x)$ become more popular than $\operatorname{tg}(x)$?
I know that some Eastern European and Middle Asian countries denote the tangent by $\operatorname{tg}$. For many years, I have used $\tan$ instead, but am currently thinking of changing that notation ...
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Why are linear forms called "forms"?
My question is about linear forms, quadratic forms, n-linear forms, differential forms and so on. The first term of these names seem clear to me, but I cannot make a link between these mathematical ...
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History: Direct Product became Tensor Product?
I'm reading a 1939 paper by the great and famous J. von Neumann, "On infinite direct products" (of vector spaces), available here http://www.numdam.org/item/?id=CM_1939__6__1_0, legally I ...
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