2
votes
3answers
242 views

Translating text to functions

I am having problems understanding how to extract this information into a formula. ...
0
votes
1answer
33 views

What's the difference between “continued fractions” and “compound fractions”?

What should we call a fraction which includes another fraction in its numerator or denominator, like $${ab\over {c \over d}}$$?
2
votes
6answers
257 views

Algebra: What does “is defined for” mean?

In algebra what does: "Is defined for" mean? I have a question posted: $\sqrt{a+b}$ is defined for $-b \leq a$. The question posed is: Is this true... My question: WHAT DOES "Is Defined For" ...
2
votes
4answers
96 views

Values of square roots

Good-morning Math Exchange (and good evening to some!) I have a very basic question that is confusing me. At school I was told that $\sqrt {a^2} = \pm a$ However, does this mean that $\sqrt {a^2} ...
2
votes
0answers
52 views

Is there a word for a number that can be expressed as an exponential with the same base and exponent?

Some examples: \begin{align*} 1 &= 1^1 \\ 4 &= 2^2 \\ 27 &= 3^3 \\ 256 &= 4^4 \\ 3125 &= 5^5 \\ \end{align*} and so on. Is there a name for these types of numbers? It seems like ...
2
votes
1answer
158 views

What are the names in English for Alterando, Invertendo, Componendo and Dividendo?

I am writing an article in English but don't want to use the Latin names. What are their English equivalent?
1
vote
1answer
53 views

Which letter is the coefficient here?

$x(a+b)$ and $ax+bx$ have the same meaning, only $ax+bx$ is an expanded version. In $x(a+b)$, it seems like $x$ is the coefficient and $a$ and $b$ are variables, while in $ax+bx$, it seems like $x$ ...
0
votes
1answer
53 views

What is the name of the below method

What is the name of the below method? : 100 = 10 10 = x x = 10 * 10 / 100 = 1 Any ideas?
0
votes
6answers
343 views

Solve the equation: $x²-5x-500=0$ Take the positive value of $ x$.

Solve the equation: $x²-5x-500=0$. Take the positive value of $ x$. I am having a really bad time with this one.. Can someone give me the exact answer I posted above? I need the answer then the ...
1
vote
2answers
111 views

Can we refer to the standard form of a quadratic equation as the general form as well?

I would like to know if we can refer to $$ax^2+bx+c=0$$ as the "general form" of a quadratic equation, or is it only called the standard form?
1
vote
1answer
71 views

Where can I find a list of similar algebra formulas?

Here is a simple formula: $$(n - 1)\sum_{i = 1}^n x_i^2 - 2\sum_{i = 1}^n\sum_{j = 1}^n x_ix_j = \sum_{i = 1}^n\sum_{j = 1}^n(x_i - x_j)^{2}.$$ As a self-learner, I want to know what is the English ...
-1
votes
1answer
50 views

X : Y :: P : Q to find Q. whats the name of this method? [closed]

This is a very simple relationship we often used but I don't remember the name of the method. Thanks.
1
vote
0answers
32 views

Origin of “direct variation”?

A definition from "College Algebra, 4ed." by Beecher, Penna, and Bittinger: If a situation gives rise to a linear function $f(x) = kx$, or $y = kx$, where $k$ is a positive constant, we say that ...
-1
votes
1answer
2k views

Name of proof that area of square>area of rectangle of the same perimeter

What is the proof called for the fact that the area of a square is always greater than the area of a non-square rectangle of the same perimeter?
0
votes
1answer
138 views

Parameter or independent variable?

I need an explanation of the difference between parameter and variable in the following example. In extremal geometric problems when we want to find the object having some extremal property, say ...
9
votes
2answers
880 views

Is equality the same as identity?

An identity is a relation that means that whatever the number or value may be, the answer stays the same. But is it possible to have equality without identity?
1
vote
0answers
83 views

What are variables with fractional powers called?

What are variables with fractional powers ( e.g. $x^{\frac{3}{4}}$) called in contrast to monomials for positive integer powers?
3
votes
1answer
3k views

Relationships among the terms “slope”, “parameter”, and “coefficient”?

In $y=mx$, is $m$, are there different implications of referring to $m$ as a "slope", a "coefficient", a "parameter"? Or perhaps the "slope coefficient" or "slope parameter"? For context, I am ...
5
votes
4answers
2k views

Is there a formal name for an equation that has no solution?

I was wondering if there is a formal name for the equations which don't have any solution? For example consider this equation in $m$ : $$ -2(3-m)+15=6m-4(m-20)$$ If we do the algebra we will get ...
2
votes
3answers
1k views

On the Origin and Precise Definition of the Term 'Surd'

So, in the course of last week's class work, I ran across the Maple function surd() that takes the real part of an nth root. However, conversation with my professor ...
8
votes
3answers
2k views

Root or zero…which to use when?

This may seem like a very basic question, but: What exactly is the difference between a root of a polynomial, and a zero? Of course I realise that they are technically exactly the same thing, but ...
1
vote
2answers
230 views

What to call the expressions that are not polynomials

The following expressions in examples aren't polynomial expressions: $$2x^2-5x+(3/x)$$ $$9- \sqrt x$$ Neither they are rational expressions, I've been just told that by book. but then what do you ...
17
votes
3answers
603 views

How to answer a student objection to the use of “of” in pronouncing f(x)?

Once upon a time in elementary school, a student learned how to translate certain English words into math. For example, 'and' usually means 'plus' such as "If John has 3 oranges AND 5 apples, how ...
11
votes
4answers
2k views

What is the term for a factorial type operation, but with summation instead of products?

(Pardon if this seems a bit beginner, this is my first post in math - trying to improve my knowledge while tackling Project Euler problems) I'm aware of Sigma notation, but is there a function/name ...
2
votes
1answer
492 views

Describing an equation

Which of the following describe this formula correctly: $S = 2\pi rh$ 1.S is jointly proportional to radius and height 2.S is directly proportional to radius and height or 3.S varies directly with ...
3
votes
2answers
355 views

Square for $x^2$, Cube for $x^3$, Quartic for $x^4$, and what's for $x^1$?

What's the general form for $x^y$? What's the specialized form for $x^1$ and $x^0$?
1
vote
4answers
278 views

A root? Or two roots?

It is known that, in the universe of complex numbers, the only root of the equation $x^2 - 2x + 1 = 0$ is $1$. Could we say that the equation has two equal real roots? Or should we say that the ...
8
votes
1answer
2k views

Why are quadratic equations called quadratics?

The word "quad" generally means 4. Quadratics don't have 4 of anything. Can anyone explain where the name comes from?
2
votes
4answers
311 views

How to reduce lower one number, while another number increases goes up increments

This is such a basic question I'm sure, but I've been trying to find a robust solution to it for a while. Lets say I have the numbers 0-100 in series. As the number increases, I want another number ...