This tag is for questions about the usage and meaning of mathematical terminology and the names for mathematical entities in English.

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0
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1answer
35 views

What is the etymological history behind the mathematical “induction” versus the philosophical “inductive [reasoning]”? [closed]

Was talking about it in a (particularly off topic) university lecture on Emperical reasoning (deductive - our logic-math course, vs inductive - "gravity gets taken for granted"). A reason we were ...
0
votes
1answer
27 views

“conal” vs “conical”

Is there any difference in meaning, usage or frequency between the words "conal" and "conical" within a mathematical context, i.e. when talking about cones?
1
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0answers
46 views

Is there a fraction prefix for “(one-)third”?

I am a mathematician, working with things called 1⁄k-regular polytopes, dubbed thus by Conway. For the case of k = 2, as in ½-regular, it is naturally pronounced and written half-regular. However, I ...
1
vote
1answer
51 views

Use of articles in mathematical writing

I'm writing a section about some mathematical properties and have trouble with the use of articles (indefinite/definite/no). I could come up with the following variants, but don't know which one is ...
0
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1answer
38 views

what do you call a table that contains counts of items which have 2 characteristic attributes represented by the rows and columns?

What do we call a table that holds counts? A binning table? Frequency table? Unnormalized probability density table? What if, instead of a table, it's just a list? And what if the table has more than ...
-1
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2answers
84 views

How to write this sentence about the square root of a matrix [closed]

Suppose in a math paper I formulated the following sentence: The square root of the matrix A is well-defined, denoted by √A… A friend of mine told me that it sounds not correct.
-1
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2answers
84 views

“3 times a is increased by b” vs “3 times a increased by b” [closed]

In my thinking: 3 times a is increased by b: This is a SVO sentence. The subject is "3 times a", the verb is "is increased" and the object is "by b". Therefore the correct form in math is 3a+b 3 ...
0
votes
1answer
63 views

Model [have/contains/includes/…] Parameter

Given a model, lets say x mapsto M(x;p1,...,pN), where x is the variable and p1,...,pN are the models' parameters. I would usually say "M has parameters p1,...,pN." Now I am talking generally about ...
-1
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5answers
164 views

How to read “A = (πr)²” so as not to mistake it for “A = πr²” [duplicate]

None of the 26 answers given here, or the 5 answers given here mentions any similarity between the pronunciation of E = mc² and A = πr², yet I still remain confusioned as to what distinguishes the ...
1
vote
1answer
74 views

What is the name of this kind of chart/graph?

The chart that shows the value of every aspect of an entity. It represent properties of an entity visually, with areas so that we can easily regconize the strong/weakness, etc... Here is an example: ...
1
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2answers
55 views

To be attained at/on?

I'm writing a math paper, so it would probably be easier to answer this question with some background in math. Assume I have a set of "things" and some function turning these things into numbers. I'm ...
0
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1answer
92 views

In math, how do you refer to a subscript or superscript indiscriminately?

In a math or physics context, I would like to say the following: In this equation, we subscript or superscript the variables by "eq" which stands for "equilibrium". The "eq" is added as a ...
1
vote
2answers
150 views

Words for north/south and east/west dimensions?

There is "length", "width", "height", "depth", etc but these words are all relative in respect to the current viewer. The width for one person could be the depth for another person (who is at a 90 ...
2
votes
1answer
98 views

“exact soluble model” or “exact solvable model”, “analytic” or “analytical” solutions

In physical science and math, we encounter some models that can be analytically solved. This means that the properties of models are fully understood and determined by the analytical solutions. In ...
3
votes
4answers
239 views

What do you call a fraction that cannot be written as a finite decimal?

For example, the fraction ⅓ cannot be written, because it repeats infinitely (0.33333333... etc). Is there a particular word for numbers that cannot be written directly, but must be expressed as ...
0
votes
4answers
90 views

Math word for an object not centered at the origin?

Is there a word that can describe a geometric figure such as a circle or ellipse that is not centered at origin (0, 0) in cartesian space? I'd like to find an agreed upon mathematical word, but if it ...
2
votes
3answers
92 views

Binary counterpart to decade

In logarithms, a decade is a range of values from N up to 1o×N. What term should be used to describe a range from N to 2×N, when using binary numbers? A musical octave covers such a ...
5
votes
4answers
1k views

How is the sentence “The symbol % is used to represent percent” read?

I have three sentences in my math textbook that use the symbol %. The symbol % is used to represent percent. Usually denoted by the symbol %. Most calculators have a key with the % symbol ...
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2answers
35 views

Theorem about uniqueness of solution

I want to write down such a theorem. Theorem. Strong existence and pathwise uniqueness hold for Equation (8). A unique solution is a continuous Markov process. I have a question concerning the usage ...
0
votes
1answer
80 views

Admits the following description

I have a question about the sentence "The evolution of a process admits the following description". I checked then the phrase "admits the following description" in Ngram Viewer and found no ...
2
votes
1answer
248 views

Why are decimals read as fractions by some cultures?

I find it very strange that the top results on Google for "how to read decimal" give me a very strange way to read them - as fractions. I have learnt to read the digits individually and it makes a ...
0
votes
1answer
134 views

Using “of” before “whether” and general usage of “whether”

I was reading a mathematics text, and I came across a phrase which I thought was written incorrectly. There was a part of a sentence: ... it begs the question whether or not A=B. and I feel this ...
1
vote
3answers
154 views

Words or digits? What is good style for numbers in mathematical writing?

What is considered good style for writing small numbers as words or digits in mathematical texts? I have three concrete examples, are there any differences between those? "M is a matroid of rank ...
0
votes
5answers
416 views

What do you call nested circles that are not concentric?

The circles in the image don't have the same center, so they are not concentric. Is there a word to describe circles that overlap (completely or not) so that enclosed circles are smaller than the ...
7
votes
2answers
231 views

Symbol and sign in mathematics

Mathematical notations are usually called symbols in the large, yet particular symbols seem to be blessed, they are often called signs ('equals sign', 'multiplication sign', ...). Is there a ...
29
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2answers
2k views

Rhetoric vs. Mathematics: ellipsis/ellipse, parable/parabola, hyperbole/hyperbola

Do ellipsis, parable, and hyperbole from rhetoric have anything in common with the geometric curves ellipse, parabola, and hyperbola used in mathematics? There are three geometric curves known as ...
2
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6answers
181 views

A single word adjective for “having only one interpretation; leaving no doubts”

I am looking for an adjective with a meaning: this is definite, clear, and there's no room for misinterpretation; nothing's left variadic. For example: logical statements have only one, very strict ...
0
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2answers
50 views

The property of a variable that is either discrete or continuous

For example, the arity property of a function might be unary or binary. The (???) property of a variable might be discrete or continuous?
1
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3answers
82 views

“Let A be a set, [let] B [be] a group”

Math proves often start with "let". For example: Let A be a set. This is easy. But what about introducing several things in that manner? Let A be a set, B be a group, and C be a number. ...
0
votes
1answer
50 views

How to express combinations using “any […] by […]”

I'm writing a text in which I need to repeat combinations of k out of n - for example, "any 2 out of 6" - but I think something the likes of "any 6 by 2" would be more appropriate since the subject is ...
1
vote
1answer
135 views

Differentiate and Integrate

Further to my last question about the history of calculus terms, I am wondering about the etymology of differentiate the etymology of integrate why we speak of a "derivative", but we "differentiate" ...
5
votes
2answers
79 views

Fluents and Fluxions

When calculus was first being developed, the terms "fluent" and "fluxion" appeared quite often in the Newtonian works. I am wanting to know the etymology behind these words. I assume that "fluents" ...
0
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5answers
67 views

By …, one yields…?

In a scientific context I have a sentences of the form By doing ..., we yield ... Now, I am trying to neutralize it to something like By doing ..., one yields ... Unfortunately, I cannot ...
5
votes
5answers
1k views

3 meter square area vs 3 square meter area

A. 3 meter square area B. 3 square meter area I’m wondering what the easiest way is to clearly express the difference between A and B above. In A, one side is 3 (meters). In B, one side is ...
1
vote
1answer
36 views

Equation “solved through” or “solved by”?

Which one is better? "The equation x² = 4 is solved through 2 and -2." "The equation x² = 4 is solved by 2 and -2." Which other suggestions do you have? Just by googling, I could not ...
0
votes
1answer
60 views

Treat Hypothetical Entities as Proper Nouns?

I am working with mathematical papers and commonly encounter situations where the author designates hypothetical entities. For example: We assume that player 1 moves first. Should references to ...
0
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3answers
122 views

How to verbalize a mathematics expression in English?

How do we express a simple mathematics equation in a way that could be understood by most people bad in mathematics? I have a formula like this: Processing Fee = Base Fee x ( Your Bid / Original ...
14
votes
3answers
1k views

What is the proper term for a ternary digit?

A binary digit is a bit. Is there an equivalent term for a three-state digit? (e.g., a digit representing true, false, or unknown)
3
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3answers
159 views

Correct use of bound/bounded

I am not sure how to correctly use the word bound in this context: All partial sums of two given sequences are bounded by a positive constant. All partial sums of two given sequences are ...
0
votes
1answer
52 views

Indefinite Article for “s-t-path” [duplicate]

I am currently writing a (mathematical) paper, which considers so called paths in graphs. The start of a path is usually denoted by the letter s and the end of the path is denoted by t. The whole path ...
6
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3answers
230 views

“That… be” construction

We will make the convention that exact categories be skeletally small. Is this construction (used in a mathematical context) correct? There is something that strikes me as odd in that "be". ...
1
vote
3answers
108 views

Uniformalize vs uniformize

In my standard college dictionary "uniformalize" is listed as rare, while "uniformize" is not listed at all, yet wikipedia is the opposite.
1
vote
1answer
71 views

“The Hypercube algorithm is so …” or “Hypercube algorithm is so…”? [duplicate]

I have an algorithm inspired by mathematical concept called hypercube. I use Hypercube algorithm as a name. Now when I write about it, do I need "the" article in front of the name "Hypercube ...
1
vote
1answer
78 views

What is the correct word to describe something that is like a frustum?

Does such a word exist? I came across this question while writing some software that used frustums, making certain parts of it... eh... frustumy?
0
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4answers
68 views

Use of “the” before a defined entity?

Should we write: "x is an element of vector X" or "x is an element of the vector X"? I have always been taught to use the former formulation, but now am asked to use the latter. Am confused. Any ...
1
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2answers
294 views

Why is the letter 'X' given importance in mathematics? [closed]

In mathematics the letter 'X' is always given importance over other letters. Why is it so?
84
votes
3answers
12k views

Why does “quadratic” describe second power while “quad” usually describes “four”?

In mathematics, quadratic means "involving the second and no higher power of an unknown quantity or variable". But the prefix quad- usually describes something that has to do with four, such as ...
3
votes
3answers
294 views

“Scratch-work” synonym

Mathematicians often have to perform calculations on paper (maybe often is an understatement). To describe this, I have always referred to it as "scratch-work". Is there any alternate way I could ...
3
votes
2answers
89 views

Which ordinal indicator, if any, should be used on symbolic math variables? [duplicate]

Consider: “the n-th root of x,” (or nth) “the a-th derivative of b,” (or ath) and even more troublesome: “the ϑ-th something…” (or ϑth… thetath?) Is there a rule for which ordinal indicator to ...
1
vote
1answer
193 views

Etymology of “chain rule” (calculus)

In calculus there is a formula known as the chain rule, used for differentiating composite functions. What is the origin of this expression?