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T. M. K. Davison , A functional equation for quadratic forms . Aequationes Math. 21 (1980), 1–7.T. M. K. Davison , A functional equation for quadratic forms . Aequationes Math. 21 (1980), 1–7. MATH MathSciNetDavison, T. M. K. , A functional equation for quadratic forms ...
Learn the definition of a linear equation, along with the standard form and slope-intercept form of a linear equation. Also, know how to graph the...
Indeed, the equation with inferior order, by means of which the superior equation missing a second term is resolved, I shall call the resolvent equation. Thus the resolvent equation of the quadratic equation \quad x^{2}=a will be \quad z=a ; the resolvent equation of the cubic equatio...
The hypotenuse formula is based on labeling the parts of a right triangle and inserting each of these parts in the equation {eq}a^2 + b^2 = c^2 {/eq}. The variables a and b are lengths of the sides, also known as catheti (plural form of cathetus), of the triangle that are ...
Then, by means of the quadratic-form identity, the corresponding bi-Hamiltonian structure was worked out. Expanding Lie algebra gl(2), and making use of the new zero curvature equation Zhang (2008) [9], we obtain an integrable hierarchy and its Hamiltonian structure. At last, two kinds of...
Uses of Hyperbola The hyperbola can solve many equations, sometimes by transforming to another form, like the ellipse line. When an equation cannot be solved using a hyperbola, the graph can be drawn to find the solution. Solving Quadratic Equations using a Hyperbola The quadratic equation graph...
On the Pellian equation and the class number of indefinite binary quadratic forms. 来自 Semantic Scholar 喜欢 0 阅读量: 8 作者: C Hooley 摘要: It is already apparent from the Disquisitiones Arithmeticae ([4], referred to hereafter s D. A.) that the theory of binary quadratic forms ...
On the other hand, an equation is written in parametric form (sometimes called a parametric equation) if each variable (usually, {eq}x {/eq} and {eq}y {/eq}) is written in terms of an entirely different variable, called the parameter of the equation. In parametric form, each variable...
Learn the definition of Forms and browse a collection of 482 enlightening community discussions around the topic.