
WS 17 - Polynomial Applications - Kempner Math with Miller
... 5. Stephen has a set of plans to build a wooden box. He wants to reduce the volume of the box to be 105 in3. He would like to reduce each dimension by the same amount. The plans call for the box to be 10 inches long, 8 inches wide, and 6 inches high. How much should Stephen take off each dimension t ...
... 5. Stephen has a set of plans to build a wooden box. He wants to reduce the volume of the box to be 105 in3. He would like to reduce each dimension by the same amount. The plans call for the box to be 10 inches long, 8 inches wide, and 6 inches high. How much should Stephen take off each dimension t ...
Infinite sets of positive integers whose sums are free of powers
... in which (un )n≥0 is a non-degenerate linearly recurrent sequence whose characteristic equation has one simple dominant root, but their argument can be easily modified to yield the above Lemma (see [2], for example). From formula (1), inequality (2), and the above Lemma, we get that there exists a c ...
... in which (un )n≥0 is a non-degenerate linearly recurrent sequence whose characteristic equation has one simple dominant root, but their argument can be easily modified to yield the above Lemma (see [2], for example). From formula (1), inequality (2), and the above Lemma, we get that there exists a c ...
Full text
... There are combinatorial interpretations of A(n9 X) and Q(n, k9 X) that are similar to the interpretations of B(n9 X) and i?(n,fc,X) given in [1]. Let X be a nonnegative integer and let Bl9 B2, . . ., B A denote X open boxes. Let P(n,fc,X) denote the number of partitions of Zn into k blocks with each ...
... There are combinatorial interpretations of A(n9 X) and Q(n, k9 X) that are similar to the interpretations of B(n9 X) and i?(n,fc,X) given in [1]. Let X be a nonnegative integer and let Bl9 B2, . . ., B A denote X open boxes. Let P(n,fc,X) denote the number of partitions of Zn into k blocks with each ...
File - HARRISVILLE 7
... classification or solution. In the case of a quadratic equation ax 2 + bx + c = 0, the discriminant is b 2 − 4ac; for a cubic equation x 3 + ax 2 + bx + c = 0, the discriminant is a 2b 2 + 18abc − 4b 3 − 4a 3c − 27c. The discriminant of an equation gives an idea of the number of roots and the nature ...
... classification or solution. In the case of a quadratic equation ax 2 + bx + c = 0, the discriminant is b 2 − 4ac; for a cubic equation x 3 + ax 2 + bx + c = 0, the discriminant is a 2b 2 + 18abc − 4b 3 − 4a 3c − 27c. The discriminant of an equation gives an idea of the number of roots and the nature ...