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#26 2014-06-13 11:22:41

ShivamS
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Registered: 2011-02-07
Posts: 3,629

Re: Coefficient vs Constant

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.

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#27 2014-06-13 11:25:16

anonimnystefy
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Re: Coefficient vs Constant

2 can be a coefficient based on the context.


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#28 2014-06-13 11:25:53

ShivamS
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Re: Coefficient vs Constant

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).

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#29 2014-06-13 11:27:11

anonimnystefy
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Re: Coefficient vs Constant

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

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#30 2014-06-13 11:27:40

ShivamS
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Re: Coefficient vs Constant

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

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#31 2014-06-13 11:29:17

anonimnystefy
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Re: Coefficient vs Constant

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

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#32 2014-06-13 11:30:52

ShivamS
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Re: Coefficient vs Constant

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.

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#33 2014-06-13 11:34:27

anonimnystefy
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Re: Coefficient vs Constant

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


“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

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#34 2014-06-13 11:36:37

ShivamS
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Registered: 2011-02-07
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Re: Coefficient vs Constant

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.

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#35 2014-06-13 11:44:23

ShivamS
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Registered: 2011-02-07
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Re: Coefficient vs Constant

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).

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#36 2014-06-13 11:58:18

anonimnystefy
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Re: Coefficient vs Constant

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.


“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

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#37 2014-06-13 12:00:05

ShivamS
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Re: Coefficient vs Constant

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

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#38 2014-06-13 12:08:08

anonimnystefy
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Re: Coefficient vs Constant

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)


“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

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#39 2014-06-13 13:10:56

Chris2
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Re: Coefficient vs Constant

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.


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#40 2014-06-13 13:12:18

ShivamS
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Registered: 2011-02-07
Posts: 3,629

Re: Coefficient vs Constant

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.

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#41 2014-06-13 13:52:34

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,482

Re: Coefficient vs Constant

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.

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#42 2014-06-13 13:54:39

anonimnystefy
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From: The Foundation
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Posts: 15,657

Re: Coefficient vs Constant

Yay, constructive crticism!


“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

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#43 2014-06-13 13:58:21

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,482

Re: Coefficient vs Constant

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.

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#44 2014-06-13 14:47:56

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: Coefficient vs Constant

It depends on perspective.


“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

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#45 2014-06-13 23:28:11

MathsIsFun
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Registered: 2005-01-21
Posts: 7,552

Re: Coefficient vs Constant

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.

See Definition of Coefficient

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

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#46 2014-06-13 23:54:28

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 18,810
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Re: Coefficient vs Constant

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

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#47 2014-06-14 00:00:43

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: Coefficient vs Constant

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


“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

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