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quartic    
a. 四次的
n. 四次式

四次的四次式

quartic
四次的

quartic
四次

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  • General formula for solving quartic (degree $4$) equations
    The Quartic Formula is just the end result of this methodology, written in terms of the original coefficients Because of that, the method is far easier to remember than the formula, which is why I find it annoying when people cite just the formula and tell you, "don't bother, use a computer instead "
  • Types of polynomial functions. Quadratic, cubic, quartic, quintic,
    While they do start getting awkward quickly, the next few ordinals are fairly well-defined, largely because of their occasional usage in solving cubic and quartic equations and in defining algebraic curves and surfaces: the Sextic, the Septic, and the Octic Beyond that, they just don't show up often enough to be worth explicitly naming
  • Quartic Equation Solution and Conditions for real roots?
    What about a set of expressions in the quartic's coefficients that discriminate between all cases? There are 9 cases: 4 distinct real roots 3 distinct real roots with one of them being a double root 2 distinct double roots both real Triple root and and a distinct fourth root Quadruple root 2 distinct real roots and two complex roots
  • Help finding turning points to plot quartic and cubic functions
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
  • How to tell if a quartic equation has a multiple root.
    To answer your question: yes As Neil mentioned in the comments, a quartic can have between 0 and 4 different roots Other than the obvious way of checking the number of roots by actually solving the equation, the following also applies, as listed in J M 's link to this monthly
  • number theory - quartic residue symbol - Mathematics Stack Exchange
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
  • Solvability of the Quartic - Mathematics Stack Exchange
    After this, it is claimed that this construction can be used to solve a quartic by radicals, and little more is said Now I know that cubics can be solved by radicals, so I think that if we can uncover information about the $\alpha$'s by working out the $\beta$'s (which can be done explicitly by radicals in the case of cubics), then we will be
  • polynomials - How to get the roots of a quartic function when given a . . .
    So we have $(x-3)(x+2)$, and since it is a quartic we need 2 more solutions Intuitively I'd say you should divide our quartic by our factors to get another quadratic, but I'm sure there exists a quicker simpler method My question is what is the quickest method to do this?
  • factoring - Factorization of quartic polynomial. - Mathematics Stack . . .
    $\begingroup$ In this particular problem, the suppressed quartic equation reduces to a bi-quadratic equation having no "u" term It has only u^4 , u^2 and constant term It has only u^4 , u^2 and constant term
  • geometry - On the automorphisms of the Klein Quartic - Mathematics . . .
    $\begingroup$ I do not know how to see the full automorphism group of Klein quartic directly from the equation I think it might be difficult (or probably unenlightening) We can however try to see it by using uniformization theory





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