# 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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### extrapolate vs conjecture

Are these verbs can used interchangeably in the sense of "to guess based on some information". The remains are conjectured to be thousands of years old. He conjectured that the company would ...
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 ...
256 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 ...
122 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.
342 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 ...
94 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 ...
403 views

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### 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 ...
338 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?
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 ...
219 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?
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### 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 ...
309 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?
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### 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 ...
2k 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 ...
111 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)). ...
649 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 ...
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### 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 ...
256 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'...
943 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 ...
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 ...
671 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 ...
670 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 ...
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### 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?
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### Is 'vertex' the correct term for peak (and valley) point on a curve?

This is about mathematical terminology in English. A simple curving line can have a top peak and a bottom valley. What is the correct term to use for the top/bottom point? In my native tongue, we ...
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### What does the phrase “to within” mean?

While I was reading the book 'Introduction to Algorithms by CLRS', I came across the sentence: ...is equal to g(n) to within a constant factor. I've seen something about it in Merriam-Webster, ...
200 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. An ...
346 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 ...
72 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 ...
272 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 : ...
369 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 ...
25 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 ...
40 views

### How to pronounce A'B'C'?

Triangles ABC and A'B'C' are similar. Given: m' > m. How to pronounce ' (штрих in Russian)?
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### Negative numbers: “minus” or “negative”?

I noticed that when negative number are used in speech, there are two dominant patterns. Taking "-10" as an example, in some cases it is pronounced "negative ten", while in others it is "minus ten". ...
650 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?
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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 ...
195 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 ...
91 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?
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### 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 ...
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### 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 ...
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### 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 ...
203 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 ...
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### 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 ...
3k 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 ...
53 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 ...
7k 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 ...
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 ...
949 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 ...