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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18
votes
8answers
18k views

Does “either A or B ” preclude “both A and B”?

In mathematics, "A or B" includes "A and B". Does "either" mean "A or B but not (A and B)" or does it include the possibility of "A and B"? The context might be mathematics, formal logic or ordinary ...
68
votes
8answers
9k views

Is -1 singular or plural?

Do we say "-1 thing" or "-1 things"? I am interested in both two things minus one thing(s) and minus/negative one thing(s)
7
votes
3answers
595 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". ...
12
votes
4answers
8k views

How can I form a word like “quadruple” for any number I want?

I'm not sure what these are called, but how can I form a word like "quadruple" for any number I want? Like 5× as much is quintuple, what is 31× as much or 147× as much? I want to know how they are ...
28
votes
7answers
3k views

(k+1)th or (k+1)st?

Mathematicians commonly have to form ordinals from variables: you might look at the kth element of a sequence, for example. When the variable is a single letter, the ordinal is always formed with the ...
11
votes
2answers
16k views

Should I use the singular or plural verb in mathematical formulae (“Two and two make/makes four”)?

I remember somebody correcting me once when I said, "Two and two makes four", since the conjunction and would imply the use of a plural verb. They would prefer I said: Two and two make four. ...
22
votes
4answers
27k views

How to read exponential expressions, e.g., “2^16”?

How do you say the mathematical function in English: x^y (or xy) For example, how do you say 2^16 (or 216) I know ^ means 'power' or 'exponentiate', but that is the name of the ...
18
votes
8answers
7k views

Why do we say “lowest common denominator” when we mean “greatest common divisor”?

For example, we could say HTML is the lowest common denominator on the web", because one can be sure all web browsers are able to render HTML (but not Flash or Java). If I want my web page to show ...
23
votes
5answers
3k views

Is “iff” considered a real word or just an abbreviation?

I wonder if "iff" is considered a real word (as LEO says) or is it just an abbreviation (as in Wiktionary)?
9
votes
5answers
14k views

“Lower number” vs. “smaller number”

Is −9 a smaller number than −8? And is −9 a lower number than −8? What is the difference between lower and smaller here?
4
votes
2answers
8k views

Should I use hyphens with prefixes like “sub” and “semi”? [duplicate]

Possible Duplicate: When is it necessary to use a hyphen in writing a compound word? Some English texts, use the prefix sub put before a given proper word with "-" between them, for ...
44
votes
6answers
43k views

Use of “I”, “we” and the passive voice in a scientific thesis [duplicate]

Possible Duplicate: Style Question: Use of “we” vs. “I” vs. passive voice in a dissertation When the first person voice is used in scientific writing it is mostly ...
83
votes
27answers
8k views

How to read “E = (mc)²” so as not to mistake for “E = mc²”

According to one of the questions already asked on EL&U, “E = mc²” is read as E equals M C squared. How do we read “E = (mc)²” so that it is not mistaken for “E = mc²”?
134
votes
12answers
15k views

What do you call a disk with a hole in the middle?

Compact Discs, washers and Aerobie frisbees are all disks with a hole in the middle. Is there a word (either mathematical or not) to describe this shape? I mean the specific case of a round hole in a ...
40
votes
8answers
29k views

X, Y, Z — horizontal, vertical and …?

When working in a 2D coordinate system you could say that X is the horizontal axis and Y is the vertical axis. Extending this to 3D, is there a similar word for the Z axis? (I'm aware of Width, ...
23
votes
5answers
22k views

Difference between “computation” and “calculation”

If the words computation and calculation are not perfect synonyms what is the difference between them? Which one describes more accurately what is done by a person computing or calculating something ...
11
votes
3answers
7k views

“Parametrise” or “parameterise” a curve?

In British English, which one is correct? Does one parameterise a curve or parametrise it?
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)
15
votes
4answers
4k views

Is there a shorter term for “divided by” in American English?

Given the following expression: 5 (+-×÷%) 4 You would say "5 plus 4," "5 minus 4," "5 times 4," "5 divided by 4," and "5 mod(ulo) 4" respectively. As far as I know, "divided by" does not have ...
5
votes
5answers
570 views

Why is the common meaning of logical terms ('and', 'or') incongruous from that in math?

If someone wrote that they want "nuts and bolts", they would get a bunch of hardware they could attach things with. If this was software or math, they would only receive nothing, because things are ...
5
votes
5answers
18k views

Divide two into four and Divide two by four

Why does "divide two into four" equal two, and "divide two by four" equal one half? Correct if I am wrong, but this what I have learned recently.
0
votes
3answers
441 views

What is a word similar to “multiplier” but for addition (or subtraction) [closed]

A multiplier is a number by which another number is multiplied. What do you call a number by which another number is added or subtracted?
37
votes
2answers
5k 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 ...
7
votes
8answers
66k views

Why is “a 100% increase” the same amount as “a two-fold increase”?

and is such interpretation the norm? When something went from 4 units to 8 units, most authoritative sources seem to agree with the use of "a two-fold increase", even though what was actually ...
4
votes
2answers
3k views

“Hence”, “therefore” and “so” in mathematical proofs

It seems to me that "so" is seldom used in math proofs. Instead, "hence" and "therefore" are used very often, even repeatedly appearing in several sentences in a row. So I wonder if my feeling is ...
9
votes
4answers
48k views

Are there any differences between “oval” and “ellipse”?

Are there any differences between "oval" and "ellipse"?
7
votes
5answers
3k views

Is there a word for a class of circular shapes?

I'm not sure if this belongs here, but I'm wondering if there is a word for a class of circular shapes? Thinking about this hierarchically: * Shape * Polygon * Square * Rectangle * ...
15
votes
7answers
3k 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 ...
4
votes
4answers
2k views

What’s the correct usage of “modulo”?

How would we rephrase the following sentence to be grammatical? : 10 modulo 3 equals 1. By "grammatical", I probably mean something along the lines of standard American English. Initially, I'd ...
3
votes
7answers
2k views

Alternative to “minuend” and “subtrahend”

In math, I just learned that when performing subtraction, the terms for each number are as follows: minuend − subtrahend = difference I have never heard of minuend and subtrahend before, and I'm ...
3
votes
5answers
6k views

Is it correct to say “times” in this context?

Consider the following: Math teacher: "How can we turn 42 into 420 through multiplication?" Student: "You times it by ten!" Is this usage of times correct? I hear it so often that I suspect ...
1
vote
2answers
886 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 ...
1
vote
1answer
310 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" ...
0
votes
1answer
74 views

Inequality vs. Inequation, Equation vs. Equality

When talking about statements that two terms are mathematically (un-)equal (e.g., 1 = 1, 1 < 2, or 1 != 2), what is the correct notion for such mathematical statements? Are there special cases ...
0
votes
0answers
208 views

An 'x' or a 'x'? [duplicate]

Suppose that 'x' is a variable in a Mathematics text. What is more correct to say: a. Pick an 'x' or b. pick a 'x'?
-1
votes
5answers
412 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 ...