# 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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### 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

### How do you read the differential mark aloud?

How do you read the differential mark?
7k views

### How do you read these mathematical expressions aloud?

(both above are from Wikipedia.org)
307 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?
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？
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, ...
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 ...
450 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 ...
222 views

### “calculus” and “the calculus” - what's the difference?

Example: Now, if you picked up the book and looked through it, the first thing you'd notice is that it was presented in the imposing format that the ancient mathematician Euclid had used in his ...
62 views

### articles in “A game in normal form”

I would like to know why there is no article (say "a") in front of the word "normal" in the phrase A game in normal form? This phrase is standard in game theory.
111 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 ...
312 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 ...
284 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 ...
541 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?
6k views

### What does “for ten percent of the time” mean?

There is a sentence: The study has also found that being sad for ten percent of the time is actually good for you. Let's face it. We can't be happy all the time. I don't understand the meaning of "...
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 ...
254 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'...
7k views

### How to read this formula aloud: “f(x) = x²”?

f(x) = x2 Having heard this read only in Korean, I don’t know how to read it in English. What is the right English reading?
3k views

### “Generalize on/to/for” in mathematical texts?

Suppose I have the following piece of mathematical text: Theorem 1. All natural numbers satisfy ABC. The following theorem generalizes Theorem 1 to the real numbers: Theorem 2. All real numbers ...
9k views

### Which way: One and one ARE two? One and one IS two?

Which verb is grammatically correct when used to describe addition? One and one are two. One and one is two.
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 ...
64 views

### a word for algebraic symmetry

There is the algebraic expression a+b+c. If we replace under the rule {a->b, b->c, c->a}, the expression is left unchanged. But for expressions like 2a+b+c, the replacement will change the expression. ...
339 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 ...
135 views

### Can I say “vector sizes”?

I want to say "size of vectors" but instead of using "of" I want to use something like "vector size" but in the plural form what should I say? Is "vector sizes" right form?
1k views

### Can “multiply” be a noun?

Can Multiply be used as noun, such as in "matrix multiply"? I heard of this from some Americans. Or should it be "matrix multiplication" instead?
327 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?
642 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 ...
1k views

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 ...
272 views

### Usage of and differences between mathematical terms [closed]

In Mathematics, there are a lot of references to the following words/phrases. Axioms Theorems Corollaries Claims Lemmas Definitions I often use them interchangeably (which is ...
135 views

### Problem of abstracting two things into one

As I am having some new options to describe one of my earlier post regarding to the following two constructions making into one sentence, I want to post this once again with my options. If I say main ...
185 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 ...