为您找到"
puiseux
"相关结果约100,000,000个
A nonzero Puiseux series can be uniquely written as = = + / with The valuation =of is the smallest exponent for the natural order of the rational numbers, and the corresponding coefficient is called the initial coefficient or valuation coefficient of .The valuation of the zero series is +.. The function v is a valuation and makes the Puiseux series a valued field, with the additive group of ...
Victor Alexandre Puiseux (French: [viktɔʁ alɛksɑ̃dʁ pɥizø]; 16 April 1820 - 9 September 1883) was a French mathematician and astronomer. Puiseux series are named after him, as is in part the Bertrand-Diquet-Puiseux theorem.His work on algebraic functions and uniformization makes him a direct precursor of Bernhard Riemann, for what concerns the latter's work on this subject and ...
Theorem 2.1. (Puiseux's Theorem) The Puiseux series field K = C{{t}} is algebraically closed, i.e. every non-constant polynomial in K[x] has a root in K. The algorithmic version of this theorem is fundamental for connecting trop-ical geometry with classical algebraic geometry. To explain this connection we first introduce some general ...
A Puiseux series is a power series with fractional exponents and logarithms, such as lnlnx. Learn how to use Puiseux series to represent complex functions and explore them with Wolfram|Alpha.
the Newton-Puiseux Method 1 Formal Power Series normal forms substitution 2 Parametrization of Algebraic Curves series in an auxiliary variable t reducibility and normal form 3 Fractional Power Series the theorem of Puiseux the Newton polygon Analytic Symbolic Computation (MCS 563) the Newton-Puiseux method L-15 17 February 2014 7 / 35
WolframAlpha says that $$\sqrt{x^2-1}$$ expanded in Puiseux series near 1 is $\sqrt 2 \sqrt{x-1}$. I don't know what a Puiseux series is; I have searched on the net but I haven't understood much.....
by Puiseux series near infinity. Let us recall some facts from the theory of fractional power or Puiseux series. A Puiseux series in a neighborhood of the point x0 is defined as y(x) = X+∞ l=0 bl(x− x0) l0+l n0 (2.5) where l0 ∈ Z, n0 ∈ N. In its turn a Puiseux series in a neighborhood of the point x = ∞ is given by y(x) = X+∞ l=0 ...
The coefficients of the Puiseux series obtained by this method are obtained by finding the roots to a polynomial equation called the "characteristic equation" described in Section 6. Exact solution are only possible for equations of order four or less in the general case. For cases involving degree five or higher, we can resort to numerical ...
Puiseux-Newton expansions. Puiseux series were in essence considered by Isaac Newton, who developed a method of expanding algebraic functions as Puiseux series, based on an analogue of Newton's method of approximating roots. Here is a sample theorem:
Puiseux may refer to Geography. Puiseux, Ardennes, a French commune in the Ardennes department; Puiseux, Eure-et-Loir, a French commune in the Eure-et-Loir department; Science. Puiseux crater, a crater on the Moon; Puiseux series, a mathematical series; Victor Puiseux, a 19th-century French mathematician;