# 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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### (The) existence of a solution, (the) uniqueness of the solution

I want to write a sentence like We consider the equation f(x)=0. We show that (the) existence of (a) solution and (the) uniqueness of (the) solution. I want to know if the above sentence uses ...
293 views

### Why is there no (definite) article before “unity” in the mathematical sense?

Example: x is equal to unity ("unity" has to do with a "unit", i.e. 1, not "the state of being joined together or in agreement".)
512 views

### Language; math vs maths

I've heard of the term "maths" used by my UK friends, I am from the US and I use the word "math". Is "maths" grammatically correct? For me, it rolls off the tongue oddly; My maths teachers gave us ...
894 views

### 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, ...
434 views

### f is a function of a vector argument

I read "f is a scalar function of a vector argument.". This means that the function f take one argument, and more specifically a vector (e.g. [1; 2.156; 1/3]), as input, and outputs a scalar, i.e. a ...
75 views

### What's the meaning of “out of”?

average score for admitted students is currently 774 out of 800. Does that mean the students' average score is 774？
326 views

### Word choice when solving math problem

Suppose I have an equation x+2y=3 and label it (2). And I have a previous equation x+y=2 labeled (1). Now I want to put the two equations together and solve them, what should I write?
62 views

### When saying fractions in English, is it necessary to include ‘of’

I am writing an article where I am using fractions for comparison. Should I include the word ‘of’ between the fraction and the things fractioned? To me, both sound correct, but I do not know whether a)...
20k views

### What does the proportion 1:3 mean in the following example?

What does the proportion 1:3 mean in the following example? In this case the holes were filled with a mixture of cement and sand in the ratio 1:3.
24 views

### Given “A implies B”, is “B implies A” “the other hand” or “the other side”?

I asked a question just now, where x = 2 → x² = 4 is true where "→" means "implies", x = 2 "implies" x² = 4, on the other hand, x² = 4 does not "imply" x = 2 in general, where the ...
110 views

### How do I say to express giving a definite value/choice to a variable/possibilities in math or physics?

In math or physics, there are some variables or possibiliies to be specified. I wonder how to express giving a definite value/choice for a variable/ possibilities. In the following I just give a few ...
378 views

### How to write that you will drop a function's argument from the notation?

I am trying to express the following idea: I have L(t) and F(t) to denote that L and F are functions of t. Now, for the rest of the text, I want to use a shorter notation, that is L and F instead of L(...
133 views

### In graph's axis, can we say “somewhere between year1 and year2”?

Here is a graph I get somewhere in the internet for illustration: Can I say Somewhere between 2006 and 2010, first three lines raise significantly ...? If we mention about lines, I think using ...
114 views

### Doubled, Tripled negative counterparts

We can say "The company earnings has doubled/tripled over the period". My question is - are there negative counterparts for doubled/tripled for the cases when some value lost 50% or 66% of its ...
77 views

### What is the exact terminology for the four basic mathematical operations?

In my native language we have clearly defined and official terms for the operands involved in mathematical calculations. I am talking about the basic four arithmetic operations addition, subtraction, ...
1k views

### 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". ...
472 views

### until July 28th - meaning

That's all the homework UNTIL July 28th When we say until July 28th , do we count day 28 as well? or does it say all assignments were marked before day 28? While we are it , do we say day 28th or ...
556 views

### “bounded from above” vs. “bounded above”

For unary functions f,g:X→Y, where X is any set and (Y,≤) is a poset, when you rephrase ∀ x∈X: f(x) ≤ g(x) in prose, do you write "f is bounded above by g" or "f is bounded from above by g" or "f is ...
57 views

### Correct phrasing for describing a plot

I am describing a plot (in a figure in a thesis I am currently writing) as follows: Figure of [names of some mathematical functions]. Function A is covered by Function B for x < 10. (...) Is this ...
2k views

### meaning of “a billion to one” and “50 million to 1”

I'm reading Forensics: A Guide for Writers by D. P. Lyle. When the author talks about the probabilities of forensic testing results, he says: 'No two people have the same DNA, but the testifying ...
58 views

### Word for quadrilateral with no general properties

I'd like to know what word to use to talk about a quadrilateral that has no distinctive feature (so, to express it's not a square, not a rectangle, nor rhombus, nor kite, nor parallelogram, nor ...
36 views

### What does “from 30% off” mean?

"Shop everything you need for fashion - from 30% off" This is a banner. Does "from 30% off" mean the discount rate starts from 30%? Or does this mean "products from 30% off", which means products ...
24 views

### 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 ...
30 views

### What's the word for a new symbol, or usage of a new symbol?

Neologism is defined as: a new word, expression, or usage. In mathematics, there are new symbols created every year, and new usages for those symbols. Is there a word for a new symbol or usage, like ...
43 views

### “The statement is witnessed”

The derivability of a given statement can be justified by exhibiting a derivation tree [...] For example, if [ some definitions ] then the derivability of the statement if t then false else ...
50 views

### Possessive case in 'Jacobi identity'

I am not sure this is the right place to ask, but I give it a try anyway. I am reading a book about how to write math. At some point the author shows the grammar rule for the possessive case: e.g. ...
391 views

### Plural of a mathematical variable

How should I write the plural of a mathematical variable? E.g., in these sentences: The values of f(ui|uj) are independent for different [uj/ujs/uj's]. The values of f(ui|uj) are independent for ...
65 views

### how to formulate/name a specific simple math operation in a formal way?

I wonder how to formulate/name a specific simple math operation. For instance, consider the following equation/indentity: (Eq.1) y=a+b+c where a is an effect, b is an effect and c is ...
566 views

### Suppose/assume that or supposing/assuming that

Which one is correct? Suppose/assume that X equals 1, we know X+1=2. or Supposing/assuming that X equals 1, we know X+1=2. It seems to me that using present participles makes more grammatical ...
95 views

### Defining a ball in mathematics

Which are appropriate phrases to define a ball? Let \$B\$ be the open ball of radius \$r\$ centered at \$x\$. Let \$B\$ be the open ball of radius \$r\$ around \$x\$. Let \$B\$ be the open ball of radius \$r\$ about ...
52 views

### Using none for three or more nos. in mathematics

Which form is correct? None of A,B or C divides X or None of A,B and C divides X
44 views

### “it modulo” meaning in Math context?

What is the meaning of this sentence? Since the sum can be large, find it modulo 109 + 7.
74 views

### English fraction ex) one third etc

I know when comparing two things using multiplicative numerals, some usages like the following sentences are possible. This book is twice the price of that book. This book is twice as expensive ...
57 views

### Specific case of using articles in mathematics

My czech book on English in mathematics has a section about choosing the right article. It says: Use the indefinite article when you are referring to each element of a class. For example: ...
389 views

### Should the name of a capital Greek letter also be capitalized when the upper case is important?

In complexity theory, we sometimes have to speak about Knuth’s big omega notation. Or about Knuth’s big Omega notation? Here the confusion starts. I can imagine all four variants of "big/Big omega/...
79 views

### Using on or in for geometric points, planes, and coordinate systems

When to use "on" and "in" prepositions in math: Point on/in the plane Point on/in the cartesian coordinate system
51 views

### How can I write -5 +3 time deviation or -5, +3 time deviation?

Can I write "based on the arrival time deviation of -5, +3 minutes" with comma or "-5 and +3 minutes" or "-5+3 minutes"? From 17 tours, the route was detected 13 times since the detection is ...
62 views

### Right preposition for: Evaluation of a function at 0 “in/at” its first argument [closed]

Consider a function f(x,y) defined on X x Y. One says that f(0,y) is the evaluation of f at 0 ... ... in its first argument ...at its first argument (none of these) My problem using searching ...
600 views

### What is the name of the “branched function” (Maths) in correct English? [closed]

Because I study Maths in another language, I don't know what do you call a "branched-function" in English. This is an example for what I'm talking about: as you can see, the function f(x) is not like ...
32 views

### “the matrix, M” Vs “M matrix”

I would like to understand how to refer to a given matrix in my English sentence. The matrix, M, refers to model A. or M matrix refers to model A. Which one is correct?
2k views

### Meaning of “3e9 seconds” in this blog post? [closed]

I was reading a FaceBook note, Mastering Programming by a renowned software engineer Kent Beck. This is the 2nd paragraph. Here are ways effective programmers get the most out of their precious ...
72 views

### Should I use “that”?

I was wondering that which of the following is better? From Theorem XXX we obtain YYY is red color... or From Theorem XXX we obtain that YYY is red color... Should I put "that" after obtain?
78 views

### Expressing “Every person has a season in which the person thrives” in another form

How do I express the sentence "Every person has a season in which the person thrives" in the form "For every person there is a season ..." without changing the intended meaning? Mathematically, ...
54 views

### Minus and plus a specific temperature degree (weather)

When we are going to say the weather temperature is below 0 degrees we use X degrees below zero or minus X degrees, but what about the contrary case? For instance we would probably say something ...
48 views

### Confusion between “where” and “with”

When I am reading some articles related to engineering or mathematics, I see many times the usage of "where" and "with" interchangeably. For example, f is the utility function mapping from S to R, ...
40 views

### How is a number with measure unit named

I am trying to figure out how a number together with measure unit name could be called as a whole. "Named number" is definitely not the right term. Examples: 20,5 m 15 kg -17 °C 0,00073 kg/L/°C The ...
27 views

### Regarding a math function, which is better?

I I want to have a function depicted graphically, which is better? Draw a graphic of the function Draw a plot of the function Make a graphic of the function Make a plot of the function Plot a graphic ...
2k views

### Complicated sentence with mathematical terms [closed]

I wrote this sentence (which is supposed to sound complicated) for a work of fiction, but I'm not sure it is correct English: "The length of one cathetus in a right triangle with equal catheti is the ...