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revised Differentiate polynomials in $\mathbb{Z}_2[x]$
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Apr
15
revised Differentiate polynomials in $\mathbb{Z}_2[x]$
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Apr
15
accepted Differentiate polynomials in $\mathbb{Z}_2[x]$
Apr
15
answered Differentiate polynomials in $\mathbb{Z}_2[x]$
Apr
14
comment Differentiate polynomials in $\mathbb{Z}_2[x]$
@Jean-ClaudeArbaut - No, it's of characteristic 2.... If you could post that as an answer I can give you the points - essentially you are saying it cannot be done. Thank you for you help. I will investigate your further points.
Apr
14
comment Differentiate polynomials in $\mathbb{Z}_2[x]$
@Jean-ClaudeArbaut - so is Z2 characteristic 0?
Apr
14
comment Differentiate polynomials in $\mathbb{Z}_2[x]$
@LuisGomezSanchez - I expect wierd stuff in a finite field but have I got them right?
Apr
14
awarded  Promoter
Apr
14
revised Differentiate polynomials in $\mathbb{Z}_2[x]$
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Apr
10
comment Differentiate polynomials in $\mathbb{Z}_2[x]$
@Timbuc - Thanks for the motivation - better?
Apr
10
revised Differentiate polynomials in $\mathbb{Z}_2[x]$
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Apr
10
asked Differentiate polynomials in $\mathbb{Z}_2[x]$
Dec
15
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Jul
2
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Jul
2
comment What is the significance of the slope of the tangent line of a function? Why is the derivative so important?
@TazMan - In the case of polynomials yes all derivatives diminish inevitably because d/dx x^n = x^(n-1) (more or less) but that is a feature of polynomials. And yes, the derivative is the slope of the tangent which is the rate of change but the world is not all polynomials. There are curves that do not decay to nothing as you differentiate - there are also some that behave in very unusual ways but the core of my answer is the insight that the differential is the rate of change which is exactly the equation for the slope at any point.
Jul
1
comment What is the significance of the slope of the tangent line of a function? Why is the derivative so important?
@TazMan - Remember that derivative of sin is cos and vice-versa so not everything diminishes to zero like polynomials do.
Jun
26
answered What is the significance of the slope of the tangent line of a function? Why is the derivative so important?
Apr
3
answered How can a piece of A4 paper be folded in exactly three equal parts?
Mar
28
answered “Simple” beautiful math proof