Completing the square formula is a technique or method to convert a quadraticpolynomialor equation into aperfect squarewith some additional constant. A quadratic expression in variable x: ax2+ bx + c, where a, b and c are any real numbers but a ≠ 0, can be converted into a perfect squ...
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The Euler-Jacobi formula provides an algebraic relation between the singular points of a polynomial vector field and their topological indices. Using this formula we obtain the configuration of the singular points together with their topological indices for the planar quadratic-quartic polynomial ...
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unit used to measure the amount of substance. this quantity is sometimes referred to as the chemical amount. a substance is something that has mass and occupies space. the molar mass/molecular weight is actually the sum of the total mass in grams of the atoms present to make up a molecule...
We establish the first polynomial-strength time-space lower bounds for problems in the linear-time hierarchy on randomized machines with bounded two-sided error. We show that for any integer l > 1 and constant c < l, there exists a posit... S Diehl,D Melkebeek - Springer, Berlin, Heidel...
We remark that extensions by Gm and Ga have been used by Deligne [9, Section 10] to define Cartier duality and the de Rham theory for 1-motives. Notation: Let K be a perfect field of characteristic p>0, and let Fq[t] be the polynomial ring in one variable over the finite field Fq...
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