Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,638

I think the way it should be is if we have a number a, we can't say it is a coefficient. 2 is not a coefficient. However, I think we can say that 2 is a coefficient of 2x^0.

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,796

2 can be a coefficient based on the context.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,638

How about this:

2

Is that a coefficient? I think most people would say 2 on it's own is not one (that's just my thinking).

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,796

Hm, then how would you say that 2 is a coefficient when you write 2x+1?

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,638

I would say that 2 is a coefficient of x in that expression.

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,796

Then I could say that 1 is the coefficient f x^0 in that polynomial.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,638

Me too. But I wouldn't say 1 on it's on is a coefficient.

According to Wikipedia

Wikipedia wrote:

For instance in 7x^2-3xy+1.5+y the first two terms respectively have the coefficients 7 and −3. The third term 1.5 is a constant.

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,796

Well, then you couodn't say 2 is a coefficient when talking about the same expression.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,638

This is what I mean

in 2x + 1, 2 is a coefficient of x

However, 1 is not a coefficient - it is a constant.

In 2x + 1x^2 though, both 2 and 1 are coefficients.

Offline

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,638

MathsIsFun wrote:

What does everyone think about that?

To be honest, it isn't too big of an issue. Such terminology discrepancies occur all the time and it is just a matter of convention (e.g. in the UK they use R^d instead of R^n like here in the US in real analysis).

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,796

That's true. There's no exact notation for the Stirling numbers, for example.

The R^whatever does not seem like too much a problem either, considering it's the R that matters.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,638

And I don't think a student will get a mark off on a test for saying 2 is a coefficient or isn't.

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,796

True. It's very dependant on the content. And it's a very narrow concept, seeing hiw I haven't noticed it being used anywhere besides in polynomials and binomial expansions.

*Last edited by anonimnystefy (2014-06-13 12:08:38)*

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

Hmm.. From what I know is : If we have 3xy and the question ask what is the coefficient of y then my answer is 3x.

And another example, if we have 34abc and the question ask find the coefficient of 34 then it's abc.

1 John 4:7

Beloved, let us love one another: for love is of God; and every one that loveth is born of God, and knoweth God.

Offline

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,638

Here, we have two different names. The numerical coefficient of 34 in 34abc is abc and the literal coefficient of 34 in 34abc is abc.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 91,501

Hi;

MIF wrote:

What does everyone think about that?

Write the definition you like and whomever disagrees, kill them.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,796

Yay, constructive crticism!

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 91,501

No dissent allowed, like in the Middle Ages. What a great time to be alive that must have been.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,796

It depends on perspective.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,558

I have updated the definition to this:

I wrote:

Coefficient

A number used to multiply a variable.

Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient.

Sometimes a letter stands in for the number.

Example: In ax² + bx + c, "x" is a variable, and "a" and "b" are coefficients.

Let me know if you feel it can be improved.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

Offline

A number used to multiply a variable

Use instead: Something used to multiply the concerned variable

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,796

Yes, that way, the definition encompasses stuff like (k^2+1)x+2.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline