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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3
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2answers
88 views

x=1 is the/a root of (x-1)(x-2)

I have a question about a/the in mathematics. I would like to say that x=1 is a/the root of the polynomial (x-1)(x-2). There are two roots of this polynomial, that is, x=1,2. So x=1 is "a" root of ...
3
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4answers
230 views

What does “up by 500” mean?

Source (news article): Russia to Start Bombing in Syria ASAP Example: Russia has also sent 16 helicopters, two surface-to-air missile batteries, nine T-90 tanks, and enough modular housing to hold ...
3
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2answers
112 views

What is the word for interior with a circle

I'd like to know what is the word to describe the entire interior within a circle. Circle is for the boundary only and does not include the interior of it.
3
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2answers
329 views

“The set of integers” vs. “The set of *the* integers”

Which is preferable to say, "the set of integers" or "the set of the integers", when I want to refer to the set {0, ±1, ±2, ...}? Intuitively, I would say "the set of the integers", because "a set of ...
3
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2answers
73 views

exponential in terms of?

I'm speaking about a particular quantity, let us call it the number of gizmos, which depends on the number of thingums, doodahs, and hickeys. Mathematically, we have a function g which is represented ...
3
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1answer
193 views

How to write or read powers (math) by words? [duplicate]

What's the way to write or to read power (math) it in words? Does "powered by" is correct? For example: "2 powered by 5 divided by 2 powered by 3." works? Also "What 4 powered by 3 does equal to?...
3
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1answer
326 views

Math Expressions

I don't know how to read most of the math expressions. For example: 2/6 75 Is there anything to learn them?
3
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1answer
2k views

raise by? from?

If the original premium is 100 USD, and the insurance company announced that it would be raised to minimum 105, and maximum 110, which one is correct? The premium will rise by 5 to 10 percent. The ...
3
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2answers
202 views

NumerICs vs numerALs, what is the difference if any?

I looked up MW but failed to see whether they are interchangeable. On a daily basis I find difficulties in adjective forming, so I guess this is just one more of the -IC versus -AL dilemmas, no?
3
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1answer
79 views

Difference between “outlier” and “offset”

When talking about deviated points (values) from a line formed by points (values) changing in a consistent way in a graph, which word better describe them: outliers or offsets? What is the difference ...
3
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1answer
306 views

X is axially symmetric to Y with respect to Z

In the following figure, is it automatically correct and clear to say that X is axially symmetric to Y with respect to Z ? Is there any better way to express this fact?
3
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2answers
266 views

What does “a value that lies z or more standard deviations above the expected value” mean?

This phrase came from the book Understanding Probability written by Henk Tijms. The original sentence is: the probability that a normally distributed random variable will take on a value that lies ...
3
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2answers
186 views

Lowercase/capital Greek letters written in English

Consider two examples: Gamma function written as Γ(n); gamma-butyrolactone written as γ-butyrolactone. Is there a rule which says how the lowercase and capital Greek letters must be reflected when ...
3
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1answer
1k views

By definition, by the definition

I am confused how to use "by definition" in mathematics. When I want to say that some fact follows from Definition of A, then can I say: This fact follows by definition. This fact follows by ...
3
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1answer
103 views

“as an algebra” or “as algebra” (zero article or indefinite article)?

This is a grammar question in the context of mathematics. Introduction of the context: I use the word "algebra" here in the sense of a mathematical object (see Algebra over a field (Wikipedia)). ...
3
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3answers
548 views

How to explain the process of deriving a mathematical expression?

We obtain a formula after some mathematical manipulations as: y=5+log(sin(a)). Now I want to explain how we can obtain another formula based on what we already derived. Compare: It only requires a ...
3
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2answers
85 views

Galois Theory — an implied genitive or not genitive at all?

In the field of mathematics there are many concepts named after certain individuals: the Pythagoras's theorem, Galois theory, Hilbert space and so forth. In my native tongue of Finnish the person's ...
3
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2answers
252 views

Words choice in math related question: “Is this notation [ valid / correct ] for [ showing / expressing ] this summation ?”

I was studying math and while doing some summations I made a notation and I don't know if it's valid/ correct so I was about to ask that on the StackExchange Math Community when I realized that I didn'...
3
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2answers
758 views

We prove or we will prove …in mathematical papers

I often read in published mathematics papers We prove the claim as follows. I am wondering why mathematicians use "prove" instead of "will prove"? (I sometimes read papers using "will prove but ...
3
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2answers
2k views

Is there a name for filled square?

When talking about circles, a "circle" refers merely to a line in the shape of a circle, whereas "disk" (or "disc") refers to a "filled circle". Is there a similar distinction for squares or ...
2
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3answers
440 views

Counterpart to “given” in a mathematical problem statement

Often mathematical problem statements start by describing some given objects and continue by requesting some objective, something to be computed from these given objects. What's the established title ...
2
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1answer
605 views

What is the meaning of “they swim up a gradi­ent of nutrients”?

I could not figure out what the sentence shown in below means. What are the meanings of "as" and "they swim up a gradi­ent of nutrients"? Also what is the meaning of "gradient" in here? Even ...
2
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1answer
2k views

How to read this mathematics value: 10^9

I have this value How to read that in English? translating from my native language, I would say Ten base of nine. but is that really correct?
2
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2answers
187 views

Omitting a preposition to avoid repetition

What is correct/better? We consider questions related to analysis of real numbers and to probability theory. We consider questions related to analysis of real numbers and probability theory. ...
2
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3answers
307 views

“Only a finite number” or “only finite number”

The question is contained in the title. I think that the noun "number" is countable, therefore "only a finite number" is correct. However, on mathoverflow the expression "only finite number" is also ...
2
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2answers
62 views

Can the difference in velocities be called as “velocities difference”?

Tortoises walk with the speed of 0.133 m/s. Rabbits run with the speed of 20 m/s. The difference in their speed is Δv = 20 - 0.133 ≈ 20 m/s. Can I say the speeds difference/velocities difference of ...
2
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4answers
232 views

Quantum vs number

Let us suppose one has a sentence : I want to find number of digits in the number. Do one allowed to change first occurrence of the word number to the word quantum? So that the new sentence would be : ...
2
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2answers
289 views

Using the word “extreme” as outmost point on a graph

Can I use the word "extreme" to mean the outmost point on a plot? Wiktionary has the following definition of "extreme": Of a place, the most remote, farthest or outermost. Does that mean I ...
2
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1answer
24 views

Word for a value incremented by certain amount?

When we take a number and multiply it by 10 we get a value ten times the original. Then, what do we call the result of adding 10 to a previous value? i.e., what can I put in place of the ellipsis in ...
2
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1answer
36 views

How to pronounce A'B'C'?

Triangles ABC and A'B'C' are similar. Given: m' > m. How to pronounce ' (штрих in Russian)?
2
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2answers
485 views

Positive probability

Assume that P(A) >0. Can one express this as follows? The event A has positive probability; The event A is of positive probability; The probability of A is positive?
2
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1answer
1k views

Rectangle Adjectives

My research involves rectangles that differ in their width/height ratio, and I am looking for words to describe them. Specifically, consider these 4 rectangles. What adjective describes a rectangle ...
2
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1answer
182 views

Definition for an outer cycle in formal English

When defining a thing based on the mathematical perspective, I am using the following construction: This cycle can be defined as Outer Cycle: The closed path between two vertices whose starting ...
2
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2answers
34 views

Two to the three or two to the third?

I wonder if we can say "two to the three" to indicate 2 to the 3rd power. Here are my attempts to search on Google for it: And "two to the third" seems also OK: Which one do you usually use?
2
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2answers
44 views

My really old wonder: “defined by” v.s. “defined as”

I understand the following sentence: The rule was defined as ~~~~ by John. It can be shortened by omitting "as ~~~~" or "by John", like The rule was defined as ~~~~. The rule was defined ...
2
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2answers
5k views

something is five times the size of something else - can only mean bigger and never smaller?

A real-world example from a computer book that I've been reading recently: Bitmaps do not use any compression and can be three or four times the size of the same image in other file types such as ...
2
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1answer
42 views

Word for clusters of a node in a hierarchy

Consider a hierarchy of clusters, in which the leaves are nodes. How can I refer to all the the clusters that contain a node? In other words, for a node I want to refer to its direct cluster, the ...
2
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1answer
157 views

What do you call the reflection of a point through a line? Reflecting/reflection point? [closed]

I want to write a sentence with math contents. X, Y are points, and m is a line. 1. X is the reflecting point of Y with respect to m. 2. X is the reflection point of Y with respect to m. Which ...
2
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1answer
957 views

What does the phrase “such that” mean in this sentence?

In my opinion, "such that" is just like the word "so". But in the sentence below, substituting the phrase "such that" using "so" makes me confused. "Let P and Q be m × n and m × l matrices" can not ...
2
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1answer
2k views

At least as many ~

I saw a sentence "Somebody walks from one classroom into a different classroom with at least as many students in it." (It was part of a math problem) What does "at least as many" means? Does that ...
2
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2answers
50 views

How to translate the mathematical term “dictionnaire des suivants et des précédents” in English?

There is a lack of references for graph theory translation from French to English, yet if you have some, let me know, I would appreciate it. I always have some difficulties to translate these ...
2
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1answer
6k views

In math, round down or round up

In math a number can be 'rounded' (sounds strange) up or down. For example if I want to round up to the next whole number (the 2.4 gets 3). How do I express in English that I always want to round ...
2
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1answer
3k views

“correspondence from A to B” or “correspondence between A and B”

Usually we are familiar with the usage: "correspondence between A and B" but can we also use: "correspondence from A to B" ? Does the 2nd case grammatically work, too? Here the ...
2
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2answers
948 views

joining sentences [closed]

I know this is a specific question, but how can I combine sentence 1 and sentence 2? I simply used 'commas' to join them. Is this the correct way to do this? Testing of previously fixed edge and ...
2
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2answers
424 views

Hyphens after Abbreviations and Foreign Letters

Are hyphens used correctly in the examples below? In other words, is there a rule in English that either requires or allows these hyphenations. In my area of research, there is what is called the ...
2
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1answer
49 views

How do you say the order of magnitude related to a specific value? [closed]

I have to explain a range of measures affecting a specific value, so I think writing this sentence: response time is limited to units of second in order of magnitude Is it correct?
2
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2answers
3k views

For last 7 days, last 2 days, last month

when some person asks me what have you been doing for last 7 or 2 days , What does he mean by that? Does he mean what I was doing today + yesterday or yesterday and the day before yesterday? Like is ...
2
votes
1answer
135 views

How to write ordinal expressions in mathematical texts?

I was wondering if there is a rule or recommendation how to write ordinal expressions if instead of a number, we have a variable or a formula. For example, it is common to come across to the following ...
2
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2answers
113 views

The case when n=1, or the case n=1

In a mathematical proof (using the induction), when I deal with the base case, which is (if any) correct? The case when n=1 is trivial The case n=1 is trivial I would like to know if I need "when" ...
2
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2answers
226 views

Should the name of a lowercase Greek letter in a proper name also be capitalized when the lower case is important?

Continuing Should the name of a capital Greek letter also be capitalized when the upper case is important? with the answer https://ell.stackexchange.com/a/109096/37810, which did emphasize the ...