As we remember from our first linear algebra class in high school or college, both eigenvectors and eigenvalues are providing us with information about the distortion of a linear transformation: The eigenvectors are basically the direction of this distortion, and the eigenvalues are the scaling ...
SMART Board E-Lessons for Algebra 2: Using the Discriminant
If V is a scheme de?ned over a ring R and S is an R-algebra then VS denotes its S-rational points. (We do not use the notation VS in the sense of the base change.) If an abstract group G acts on a set X, then for x ∈ X we set Stab(G; x) = {g ∈ G | gx = x...
simplifiedandtwo-covariance— and show how they are related. These clarifications are important because the variants were introduced in literature without argumenting their benefits. We analyse their predictive power, covariance structure and provide scalable ...
(algebra) An expression that gives information about the roots of a polynomial; for example, the expression D = b2 - 4ac determines whether the roots of the quadratic equation ax2 + bx + c = 0 are real and distinct ( D > 0), real and equal ( D = 0) or complex ( D < 0). ...
Markus: introduction joint spectra of commutin... A Feintuch,I Gohberg 被引量: 0发表: 1994年 Ring Derivations on Standard Operator Algebras (eng) Let ja:math be a standard operator algebra on an infinite dimensional Banach space X . We prove that every ring derivation D : ja:math → B ...
Liang, S., Gerhard, J., Jeffrey, D. J., and Moroz G., "A Package for Solving Parametric Polynomial Systems."ACM Communications in Computer Algebra, Vol.43No.3(2009): 61 - 72. Moroz, G. "Sur la décomposition réelle et algébrique des systèmes dépendant de paramètres." Ph.D. ...
All ProductsMapleMapleSim Discriminant Main Concept The expressionb2−4acis called thediscriminantof the quadratic equationa⋅x2+b⋅x+c=0. From the discriminant, you can determine how many real solutions (roots) the equation has: ...
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Discriminants of curves of genus 2 and arithmetic surfaces. In: Hijikata et al,H. (eds) Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata. Academic Press, Tokyo, pp. 749–770Ueno K.: Discriminants of curves of genus 2 and arithmetic surfaces. In: Algebraic Geometry ...