0
votes
2answers
27 views

How do we emphasize that $\displaystyle x\mapsto\frac{1}{f(x)-y}$ “makes sense” if we know $y\notin\text{im }f$?

Please take a look at the following function $$x\mapsto\frac{1}{f(x)-y}$$ where $f$ is "some other function". Suppose we know $y\notin\text{im }f$, i.e. the expression in the denominator "makes ...
4
votes
3answers
165 views

When does something become a “mathematical object”?

A mathematical object is an abstract object arising in philosophy of mathematics and mathematics. Abstract object: Abstract and concrete are classifications that denote whether a term ...
5
votes
2answers
689 views

Is 9/1 an improper fraction?

My son took a test in school. The teacher told them that they did not need to simplify improper fractions in their answers. On one question, for example, the answer of 28/3 was marked as correct. ...
0
votes
1answer
29 views

Realizability in mathematics

What does it mean in mathematics when someone says "it is realizable"? If someone could give me a general and intuitive explanation I would appreciate it. Thank you!
1
vote
0answers
50 views

Metalanguage on mathematics

I've heard that in the first class of my degree are teaching concepts like metalanguage. What does it mean. Could you give some examples? I've searched on google that metalanguage means representing ...
1
vote
1answer
30 views

Is there any rules for choosing letters about $a,b, c$ and $t$, or $2t$

we know:ellipse is the locus of dynamic point whose distances from two fixed points’ sum is fixed value. so I write: $z$ is complex number, and $a,b,c,t$ are reals. $$\begin{align*}\left| ...
0
votes
1answer
220 views

Name of odd powered polynomial graph (Opposite of parabola(ic))

I am writing an assignment and have to describe the graphs for when the powers are even and when they are odd. I described the even power graphs as being parabolic or parabolas. The only problem is, I ...
1
vote
1answer
329 views

Are “deterministic” and “idempotent” just two different names of the same concept? [closed]

Sometimes I encounter the term "deterministic" and sometimes I encounter "idempotent" in describing functions . Are they just ...
0
votes
1answer
52 views

Knotted up over “unique”

"Every boy has a unique shirt." Does this mean no two boys share the same shirt, or does it mean no two shirts belong to the same boy? I suppose the former, but then what is the most succinct way ...
10
votes
3answers
411 views

Elementary Geometry Nomenclature: why so bad?

A long-ish wall of text, and I apologize. Some background: when I was a first-year university student, my chemistry professor was lecturing and was trying to find the word to describe a shape. A ...
3
votes
1answer
11k views

Numerator vs. denominator vs. nominator

What is appropriate usage of "numerator", "denominator", and "nominator" to refer to parts of a fraction? I'm posting this question and answer here because I had little luck finding a clear ...
2
votes
1answer
379 views

General definition of growth in mathematics

From high school math one knows "linear growth", "exponential growth", "logistic growth", "bounded growth" etc., but is there a common accepted general definition of "growth" which covers the special ...
0
votes
2answers
102 views

What is this called? (Equations involving percentages)

I am trying to describe our formulas to our users, and have forgotten the basic math term for these 2 types. First one is: $$y=x+10\% $$ $$z=y+10\%$$ if $x$ was $10$, then $z$ would be $12.1$. Other ...
7
votes
3answers
346 views

Does this class of cipher have a name? What weaknesses does it have?

Some Background In October I have been asked by the school I teach at to organise and lead 'a hands-on cryptography session' for a bright group of 13 year olds to follow a talk on Enigma by an ...