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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2
votes
2answers
81 views

What do you call the intersection of a rectangle and a circle?

The intersection of two rectangles is called a corner, but is there a word for the intersection of a rectangle and a circle? Is it still a corner? This picture I made probably explains it better: ...
13
votes
3answers
1k views

How to pronounce fractions larger than a twentieth, where the last digit of the denominator is a 1 or a 2? i.e. one thirtieth is to 30 as _ is to 31

Disclaimer: I speak British English. I've noticed a lot of differences between the way Americans and Brits pronounce numbers.1 Since the question concerns this, I thought it might be appropriate to ...
1
vote
0answers
50 views

Which alternative is best English?

Are there any specific rules in English about how to refer to something that was introduced in the previous sentence? For example, compare these three sentences: Let X and Y be random variables ...
2
votes
1answer
64 views

How to make this sentence shorter?

It appears that this site does not support LaTeX, so sorry for the ugly formatting. I would like to explain the sentence Let X ~ N(mu_x, sigma_x^2) and Y ~ N(mu_y, sigma_y^2). with plain ...
1
vote
3answers
81 views

Colloquial meaning of 'exponential decrease'

I often have a hard time figuring out exactly what is meant when exponential/ly is used outside of mathematics. This is especially true for exponential decrease. Take the sentence: The number of ...
0
votes
2answers
43 views

submatrix or sub-matrix? [duplicate]

I 've seen several times "submatrix" in code and manuals. However, whenever I write in my Latex editor, it gets underlined in red, as a spelling mistake. Same things happens now, just as I am writing ...
2
votes
1answer
63 views

What is the word for an arbitrary simple example, typically used with proofs?

Typical usage is with math, or philosophy, proofs. Also typically the simple example disproves the theory, but is of a arbitrarily contrived nature and not something that would naturally arise. Is ...
0
votes
3answers
76 views

Word for opposite parallel vectors

Given two points, A and B, there are two vectors: A-->B and A<--B which are parallel but pointing in opposite directions. I remember learning as a kid a word which simply defines the line upon ...
2
votes
2answers
108 views

“less” or “fewer” for countable and uncountable infinities [duplicate]

I feel like this is too grammatical for the math stack exchange, but I am sorry if it is too mathematical for this stack exchange. In math there are several different types of infinity, some of ...
0
votes
0answers
31 views

Word describing “State goes back to original state after state-modifying actions A followed by ~A”

This word is slipping my mind and it is driving me crazy. Not sure if it is a math term or computer science term, but I use it a lot in development (when I can remember it!) Basically, you have the ...
-2
votes
3answers
100 views

greatest or largest number [closed]

Which of the following statements is correct? a) 7 is the smallest and 9 is the greatest number or b) 7 is the smallest and 9 is the largest number The research so far indicates that both terms ...
1
vote
1answer
336 views

In differentiation as in dy/dx what do you call y and x? [closed]

Like numerator / denominator, but for differentiation.
0
votes
1answer
76 views

How did 'up to' evolve to mean 'regardless of', in maths?

Even the OED seems not to have featured it. I couldn't find an explanation on Etymonline. [Wikipedia:] If X is some property or process, the phrase "up to X" means "disregarding a possible ...
2
votes
1answer
97 views

Definite article in Maths: “(the) function f”

Is the definite article correct/necessary in sentences like the following? A line that intersects (the) circle C. We can see that (the) function f has a maximum at x=0. Draw a line past (the) edge E. ...
1
vote
1answer
65 views

“derivative” is to “derive” as “primitive function” is to “?”

Basically, what is the opposite verb of "derive", i.e. "to take the primitive function of"? (Context: I'm trying to make wolframAlpha take the primitive of a function, but I can't get formulation ...
4
votes
3answers
680 views

Is there a word for opposite numbers?

Example: -100 and +100 - is there a way of describing the relationship between these numbers? Obviously, I've already come up with "opposite", is there anything else? This is for use in an email. ...
2
votes
1answer
42 views

If A subtends B, can B also subtend A?

I wrote: Things farther away subtend smaller angles at the eye. Wiktionary has this example of the usage of "subtend:" A 43° angle subtends an arc about ¾ meter long on a circle with a ...
0
votes
2answers
60 views

Should I use 'follow lemma (1)' or 'follow from lemma (1)'?

In mathematical papers, some theorems are proved based on some existing lemmas. Then, should I use Following lemma (1), we prove... or Following from lemma (1), we prove...
0
votes
1answer
63 views

When advertisers say product X has N times less 'thing' than product Y, what do they mean [duplicate]

Here is an example: NESTLÉ a+ SLIM Milk has 15 times less fat than regular toned milk. Source:http://www.nestle.in/brands/nestleaplusslim So the question is this: say regular toned milk has 100 ...
0
votes
2answers
88 views

Difference between “evaluate as” and “evaluate to”

Does the expression 1+1 evaluate as 2 or does it evaluate to 2? Is one (or both) of the above not proper English or misused in this context, or are they both okay?
-2
votes
1answer
40 views

using amidst in mathematic [closed]

I use a very formal writing style. If I want to say that I calculate a function between 5 times between each two points, can I use amid these ways? The function f(t) is calculated 5 times amidst ...
1
vote
1answer
89 views

Is there a word that means “derivative-able”?

I'm just curious, so is there a word that you could use to express that a mathematical function has a derivative?
1
vote
3answers
67 views

Comma and arithmetics

Should one put a comma before an arithmetic operation? What about long expressions? Example: The final distance is equal to the initial distance plus initial velocity multiplied by time, plus half ...
1
vote
1answer
225 views

Do we have to use ordinals with largest/smallest?

In every-day language, I would say, "Give me the fifth largest pumpkin you have"; that is I would use the ordinal. However, this feels clunky in mathematical texts, especially when reading out loud: ...
1
vote
0answers
67 views

Where does the word “mean” come from in mathematics? [closed]

For the averages, mean, median and mode I can determine that median comes from latin for mid, mode comes from latin for measurement but cannot find where the word mean comes from. Is it an acronym? ...
5
votes
2answers
386 views

What comes after the ducentiquinquagintasexions?

Hypercomplex numbers that use the Cayley-Dickson construction seem to follow a Latin naming convention related to the size of the algebra (which is always a power of two). As an English.SE question, ...
1
vote
2answers
99 views

Genitive: with or without “the” [closed]

I would like to know which variant is correct: "Decimal expansion of the first generalized Euler's constant" "Decimal expansion of first generalized Euler's constant" "Decimal expansion of the ...
0
votes
0answers
41 views

Nonabelian or non-abelian?

I asked this question on Mathematics Stack Exchange (here) but I haven't had any luck so far. Allow me to copy the question: If I wanted to be scrupulous about correct spelling, is there any reason ...
2
votes
1answer
97 views

I want to write some mathematical sentences in the English language [closed]

I want to write these mathematical sentences in the pure English language: In this paper, for every vertex a v in G, we find a shortest path joining v and w in G. My proposed sentences are: In ...
14
votes
11answers
5k views

What do you call a cylinder with a hole down the center?

Imagine a 3D cylinder, like a can. Now imagine that almost like an axle spot for a wheel, there's a hole shaped in a perfect circle going down the cylinder. That's the shape I have to figure out the ...
2
votes
3answers
91 views

Can “paraxial” mean “axis-parallel”?

The Wiktionary lists under the meanings of paraxial: (mathematics) Parallel to one or more axes of the coordinate system paraxial rectangle The respective information was added ...
4
votes
4answers
319 views

Admitting a unique fixed point in math

I've noticed that some of my professors seem to like to use the term admit in the following sense (from the contraction mapping theorem): "If F is a contraction from a complete metric space to ...
3
votes
1answer
288 views

Why must the cent sign come after the value? [duplicate]

Is it pureley by convention that the dollar symbol ($) comes before the value and the cent symbol (¢) come after? For example $1.50 vs $1 and 50¢ Also would it ever be correct to write a value of ...
1
vote
1answer
462 views

What is the general term for “greater than or equal to” and “less than or equal to”?

We call this equation: A = B We call this inequality: A > B A < B What do we call this: A ≥ B A ≤ B ?
0
votes
1answer
79 views

What is the term for representing whole numbers with integers instead of English words?

For example, "I am giving you the ___ form". Where I am using numeric characters e.g., 1 instead of one. I don't think canonical exactly fits here because the English version is seems to be unique as ...
3
votes
1answer
49 views

Why do we have “Coulombic” but not “Coulombian”?

In physics, we have Coulombic interaction. Why do we have "Coulombic" but not "Coulombian"? At first, I think that because the letter b from Coulomb decides which suffix comes after it, but when I ...
0
votes
1answer
132 views

Word for position and direction

I'm looking for a word that encapsulates both an object's position and direction. Similar words: a "point" has just a position. a "vector" has a direction and magnitude an "orientation" has just a ...
2
votes
3answers
157 views

Term for numbers that have at least one non-zero significant digit after the decimal point?

So, a number that is nothing but fractions is "fractional". A number that has a whole number and a fraction is "mixed", if you want to call it that. And the portion after the decimal point is called ...
0
votes
1answer
32 views

Use of “recast” in mathematics

Do we write the relationship recast, OR the relationship recasts? ("s" at the end) y = 3x       (1) Relationship (1) recast y−3x = ...
3
votes
1answer
281 views

Does rational come from ratio or ratio come from rational?

Going through law school we often used the latin phrase ratio decideni - meaning the reasoning of a decision. In this context we took the latin word ratio to mean thinking process. Recently I saw an ...
1
vote
1answer
75 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
34 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?
2
votes
1answer
183 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
97 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 ...
1
vote
1answer
76 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
votes
2answers
210 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
votes
2answers
181 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 ...
-1
votes
5answers
253 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
127 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
vote
2answers
134 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 ...