p pa pb pc pd pe pf pg ph pi pk pl pm pn po pp pr ps pt pu pv pw px py

Перевод: polynomial speek polynomial


[прилагательное]
многочленный;
[существительное]
многочлен ; полином


Тезаурус:

  1. As stated above, the algebra now called classical concerned itself with (polynomial) equations, in particular with attempts to supply formulae for the roots of equations of degrees 3, 4, 5, etc.
  2. (ii) The polynomial and the above polynomial are said to be equal iff ai = bi for all on-negative integers i.
  3. (ii) If f Qx is neither the zero polynomial 0 nor a unit we say that f is irreducible iff, whenever f is expressed as a product, f = gh with g, h Qx, it follows that either g or h is a unit.
  4. Ill-defined regions of the data, rational equations, unjustified polynomial fits (particularly for extrapolations), failure to examine data at low X and Y values sufficiently, reversing X and Y values, and as the manual puts it, "trusting numbers rather than the evidence of your own eyes" are some others.
  5. A polynomial in x with, let us say, rational number coefficients is simply an expression of the form for some m Z and some ai Q. Further we define addition and multiplication of polynomials in the usual way.
  6. The error is in taking the polynomial to be a structural representation of the system, but the basic underlying fallacy remains.
  7. Alternatively, it may be a C k (or C k- ) scalar curvature singularity or a scalar polynomial curvature singularity if some scalar does not tend to a C (or C -) function.
  8. Remember the aim here is to get rid of the problems concerning x, not to get rid of the concept of polynomial itself!
  9. For example, the polynomial is irreducible in Qx and Rx, but reducible in Zx and in Cx.
  10. The Hubble radius is defined as formula; and j l (x) are the Legendre polynomial and spherical Bessel functions of order l , respectively.
  11. In these cases, the curvature scalars remain bounded on the hypersurface , and scalar polynomial curvature singularities occur in the extensions of the solution through the focusing singularity.
  12. Even the statement that obviously any polynomial in x with integer coefficients must be expressible (by using a degree argument) as a product of polynomials which cannot be further decomposed was of little value to him unless it be accompanied by a method which in each instance would supply the indecomposable factors.
  13. It is convenient to point out at this stage that, for colliding gravitational and electromagnetic waves, two of the scalar polynomial invariants (Penrose and Rindler, 1986) are given by (8.2) It follows from this that, in order to prove the existence of a scalar polynomial curvature singularity, it is sufficient merely to show that the component 2 is unbounded.

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