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MTM[coeffs] - extract all coefficients of a multivariate polynomial
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Calling Sequence
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coeffs(P)
coeffs(P, x)
c, t := coeffs(P, x)
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Parameters
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P
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multivariate polynomial
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x
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variable
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c
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variable
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t
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variable
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Description
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coeffs(P) returns the coefficients of the polynomial P with respect to all the indeterminates of P.
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coeffs(P,x) returns the coefficients of the polynomial P with respect to x.
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[c, t] = coeffs(P,x) also returns an array of the terms of P. The terms of P line up such that add(i,i=zip(`*`,a,b)); gives back the original polynomial, P.
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Examples
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![Array([11, 16, 19])](/support/helpjp/helpview.aspx?si=7586/file04781/math122.png)
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![Array([a+c*sin(2*x), b])](/support/helpjp/helpview.aspx?si=7586/file04781/math136.png)
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![Array([a, b+2*c*cos(x)])](/support/helpjp/helpview.aspx?si=7586/file04781/math143.png)
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![Array([3, 5])](/support/helpjp/helpview.aspx?si=7586/file04781/math157.png)
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![Array([5*u^3, 3*u^2])](/support/helpjp/helpview.aspx?si=7586/file04781/math164.png)
| (8) |
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![[c, t]](/support/helpjp/helpview.aspx?si=7586/file04781/math168.png)
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![[c, 2+(3+4*ln(x))^2-5*ln(x)]](/support/helpjp/helpview.aspx?si=7586/file04781/math171.png)
| (9) |
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