# Questions tagged [mathematics]

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

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17 views

### simplifies to vs. be simplified to?

In mathematics, one often simplifies an expression. In the mathematical writing, which one is correct (or more natural)? Equation (1) is simplified to Equation (2). vs. Equation (1) simplifies to ...
34 views

### English in Math, x y's

Suppose there are two variables, x and y. Now, I want to describe that "there are many y's, and the number of y is x." For example, a number=yy...y and its length is x. Is "there are x ...
3k views

### How do you read this mathematical expression aloud?

could someone tell me how to read this mathematical expression aloud? exp⁡(√(cos⁡x )+1-x^4) I didn't take math in school so I would have no clue... I just need to be able to read it aloud. Thank you ...
44 views

### What does "envelope" mean in mathematics in this context?

I stumbled upon this sentence: Compared with the envelope [some mathematical formula] of the sinusoidal term, [some other mathematical formula] decays very fast, and the overall response is similar ...
37 views

### Why not "the space" in "R^1, R^2, R^3 are often called the line, the plane, and space, respectively."? ("Calculus on Manifolds" by Michael Spivak)

I am reading "Calculus on Manifolds" by Michael Spivak. This book is a famous mathematics book. In this book, the author wrote the following sentence: R^1, R^2, R^3 are often called the ...
10 views

### Articles modifying nouns assigned mathematical symbol

In documents including mathematics, people often specify a quantity by putting the name and mathematical symbol of it, as follows: Suppose that quantity A is positive; Let variable X be ...
156 views

### Using "There exist/exists" with "and"

I think in the following sentence it is correct to use "there exists": There exists a number and two distinct elements [...] But then, is the following sentence correct and if it is, why? ...
27 views

### Why did the author write "at the point a of A" instead of "at a point a of A"?

I am reading a mathematics book ("Analysis on Manifolds" by James R. Munkres). Theorem 8.3 (The inverse function theorem). Let A be open in R^n; let f : A -> R^n be of class C^r. If Df(x)...
39 views

### Does "Show by insertion" make sense mathematically?

In math classes you might be given an equation like 2+x=5 and a valute like x=3. In my native Danish tongue I could now say one of the following: Vis ved indsættelse, at x=3 er en løsning. Vis ved ...
97 views

### How should I interpret the phrase "f is applied to x" in function f(x) in math?

How should I interpret the phrase "f is applied to x" in function f(x) in math? I found the expression: f (x) (i.e. f applied to x) inside the math book. I only have the 3 definitions of &...
78 views

### Mirror image of/in/over/across a line

What is the correct preposition to use in a sentence that describes how a mirror image is reflected through something? This is for mathematical use, and I am in doubt about two scenarios, here shown ...
150 views

### What are these equations called in English?

I just wonder what these simple equations are called in English? Do they have professional names/terminologies in math? equation 1: x = a + b - c equation 2: x = a * b / c The key is the sign, ...
2k views

### Geometrically, "face" or "surface"?

In my native Danish language we can refer to a 2D side of a geometric object as flade. We can be more specific in case of the 2D side being exposed to the outside and say: overflade, a word that also ...
1 vote
71 views

### "A is faster than B by 40%"

I am trying to understand how to compare speeds in English. I have two types of devices that do the same thing. Their performances are measured in operations per second. Let's say I have Device A that ...
1 vote
38 views

### Complex plane "deprived from" or "deprived of" closed disk?

Which of the following phrases are correct? Complex plane deprived of closed disk or Complex plane deprived from closed disk
229 views

### How to say expedite a process by two times

Let's assume that we have a process that takes 10 minutes to finish. Now, we come up with a new way that can do the process in 2 minutes. A few questions: How can we say this sentence correctly: The ...
52 views

### How to explain this sentence?

What is the best sentence to use instead of the following sentence: Fill up the output array, using the computed new value using -1 value from the calculation array as the index of the output array. ...
25 views

### What does "which" mean in this sentence (math)?

For the positive integers a, b, c, and d, a is half of b, which is one-third of c. The value of d is three times the value of c. Does this mean that a=b/2, and a=c/3, or does this mean that a=b/2, ...
92 views

### How to pronounce "-1"

A mathematical expression like 1-2 is pronounced one minus two. "Minus" here refers to the mathematical arithmetic operation of subtraction. The following expression -1-2 seems sometimes ...
441 views

### In maths, should I write "at a point" or "in a point"

In another question I posted this evening, a comment indicated that my use of "a/in" is wrong. Consider the following two sentences that could appear in a mathematics test: Compute the ...
43 views

### "In the point (1,2)" or "In point (1,2)"?

In questions from a mathematics test, what is the correct phrasing of the following sentence? Compute the function value in the point (x,y)=(1,2). Compute the function value in point (x,y)=(1,2). ...
32 views

### How to properly define what I want to say? [closed]

I'm struggling to write a concise definition of beauty(n) Suppose we have a number consisting of an even number of digits like 12, 1234, 123456. Examples: beauty(1234) = 12 + 34 = 46. beauty(123456) = ...
32 views

### Expressions of multiplication

Five times three equals 15. Five multiplied by three equals 15. As I know, multiplication is an operation that consists of calculating the result of adding up the multiplicand as many times as ...
43 views

### "Lebesgue measure" or "the Lebesgue measure" - omitting the definite article or not?

I noticed that many people sometimes omit the definite article before "Lebesgue measure". Some examples: "suppose that m is Lebesgue measure on R, "we will construct Lebesgue ...
137 views

### Qutation marks in American English for emphasis and bracketing: single or double? [closed]

Suppose you write a mathematical text in American English that quotes from various sources (other literature and itself) and emphasizes and brackets stuff. You've already used up your font gimmicks (... 144 views

### Imperative: how to distinguish independent clauses and a compound predicate?

Consider the following imperative-sentence structure Do 𝑋 and do 𝑌. (Source: https://www.chicagomanualofstyle.org/qanda/data/faq/topics/Commas/faq0067.html ) where I believe (but do not know this ... 3k views

### “Let for each 𝑗” vs. “For each 𝑗 let”

I wrote Let for each 𝑗 < 𝑛 a permutation ℎ𝑗 : 𝐿 ↪ 𝐿 be given. A proofreader (whom I can no longer ask) changed it to For each 𝑗 < 𝑛, let a permutation ℎ𝑗 : 𝐿 ↪ 𝐿 be given. This ... 1 vote
44 views

### Comma before “and” separating two nontrivial items?

Consider the sentence The net simulates programs with at least 𝑓(𝑥) copies of each 𝑥 ⊆ 𝑆 with 𝜑(𝑥) (,) and exactly 𝑓(𝑥) copies of each 𝑥 ⊆ 𝑆 with 𝜓(𝑥). The parens around the comma mean ... 1 vote
58 views

### Comma before “and” separating two short independent math statements?

Consider a typical mathematical sentence defining two tuples: (s_i)_{i=1}^n and (t_i)_{i=1}^n: Let (s_i)_{i=1}^n = X (,) and (t_i)_{i=1}^n = Y. The parens around the comma mean that it's unclear ... 1 vote
87 views

### How to express a half of an axis?

In my paper, a half-line extending from coordinates (x,y) at an angle of Theta to the x-axis is called an HL; and an axis containing this HL is called a T-axis. Hence, the HL is the same as the half ...
48 views

### If we let "a" be 2, and "x" be 1.4, we have the following [closed]

I want to know which of the following sentences sounds more natural and correct: a + x = y #1. If we let "a" be 2, and x be 1.4, we have the following: 2+1.4 = y #2. If we let "a" ...
509 views

### What is the correct phrase for solving mathematical problems?

While attempting and solving maths problems, do we "Do" those problems? Is the usage "While doing algebra in high school" the correct phrase to convey that I have been taking a ...
14 views

### "explanations on topics related to mathematics" or "explanations of topics related to mathematics"

Which sentence is the most appropriate ? #1 - Short explanations on topics related to mathematics #2 - Short explanations of topics related to mathematics #3 - Short explanations on topics related ...
1 vote
57 views

### ""a" and "b" depict the y-coordinate of each end point respectively of the curved line."

I am writing something about cubic interpolation. An end point is a 2d point with coordinates (x,y). A curved line only has two end points, the starting point and the ending point. Which of these ...
144 views

### a number's whole part and fraction part's name in English

I'm not sure if I need to ask this in the math site or here. I'm actually a developer and I searched many websites to find out what the whole and fraction part of a number is called in English (naming ...
83 views

### How to verbally express this mathematical formula? [closed]

I am going to deliver a tutorial. However, I am not sure how to express some formulae verbally in a correct way. Could you please help me?
51 views

### definite or indefinite article for new term that described in other paper?

When we present a term for the first time with reference to another article, should we use definite or indefinite article? (without reference, we should use indefinite article) Example (The Hilbert's ...
45 views

### The meaning of unless in sentence [closed]

While reading a book I encountered a sentence For a nonzero integer n, there is an even number of positive divisors of n unless n is a perfect square What does it mean by unless n is a perfect ...
23 views

### Is the noun phrase 'side lengths to the nearest tenth' grammatically correct?

Here is a sentence extracted from the entire question sentences, one from this exercise page on Khan Academy. The following figure shows △ABC with side lengths to the nearest tenth. I thought the ...
109 views

### How do I express a line in math?

I want to express the above red line in a formal English. A line in the theta direction from (x0,y0). Is the above expression correct?
4k views

### Is "100% correct pronunciation" an understandable, correct, and proper English expression?

If I put "100% correct pronunciation" in the following sentence, is it understandable and correct? "100%" is what I would like to emphasize. If it is not right, how should it be ...
7k views

### Why don't we use articles for variables in math problems?

Why do we write: solve for x and not solve for an/the x or Where t represents the number of tickets and not Where the t represents the number of tickets
70 views

### How do you pronounce two variable values listed one on top of the other? [closed]

Long story short I need to figure out how to verbalize this equation:
1 vote
145 views

### value of variables "is" or "are" same

We have x=12 and y=12 . How should we write: The value of x and y are same and equal or The value of x and y is same and equal
56 views

### Is ‘half half’ ambiguous?

50-50 Ex) There are half half milk and water. = there are 50:50 milk and water. 1/4 Ex) There is half half water. = there is 1/4 water. Is it right? 41 views

### Plurality of fraction that has an assigned mathematical symbol

I am aware of the general rule that the plurality of a fraction matches the plurality of the thing it modifies, as in “a fraction of investors are informed.” Does this change when I assign a ...
59 views

### How to interpret a "math word" question [closed]

Thank you for your time. Please take a look at an LSAT sentence below: THE CPUE, i.e. "catch per unit effort," for any species of shark is the number of those sharks that commercial fishing ...
81 views

### "A intersects B at C" or "A and B intersect at C"?

Two expressions for using the word "intersect": "A intersects B at C" OR "A and B intersect at C", Which one is more natural?