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The 10-second takeaway For the quarter ended Feb. 1 (Q4), Dell beat slightly on revenues and beat expectations on earnings per share. Compared to the Dell Beats on Both Top and Bottom Lines
The two presented Dell shareholders with what they thought was a good offer, a $24.4 billion deal financed by a mix of equity and debt—the largest leveraged buyout in tech-industry history.
On February 22, 2008, Dell announced plans to sell Ubuntu in Canada and in Latin America [150] From September 16, 2008, Dell has shipped both Dell Ubuntu Netbook Remix and Windows XP Home versions of the Inspiron Mini 9 and the Inspiron Mini 12. As of November 2009 Dell shipped the Inspiron Mini laptops with Ubuntu version 8.04. [151]
In the case of two nested square roots, the following theorem completely solves the problem of denesting. [2]If a and c are rational numbers and c is not the square of a rational number, there are two rational numbers x and y such that + = if and only if is the square of a rational number d.
which is both the t-th triangular number and the s-th square number. A near-isosceles Pythagorean triple is an integer solution to a 2 + b 2 = c 2 where a + 1 = b. The next table shows that splitting the odd number H n into nearly equal halves gives a square triangular number when n is even and a near isosceles Pythagorean triple when n is odd ...
A table of constants that includes the same approximation of the square root of 2 as YBC 7289 is the tablet YBC 7243. The constant appears on line 10 of the table along with the inscription, "the diagonal of a square". [2] [4] [5] The mathematical significance of this tablet was first recognized by Otto E. Neugebauer and Abraham Sachs in 1945.
The square root of a positive integer is the product of the roots of its prime factors, because the square root of a product is the product of the square roots of the factors. Since p 2 k = p k , {\textstyle {\sqrt {p^{2k}}}=p^{k},} only roots of those primes having an odd power in the factorization are necessary.
Fermat's method works best when there is a factor near the square-root of N. If the approximate ratio of two factors ( d / c {\displaystyle d/c} ) is known, then a rational number v / u {\displaystyle v/u} can be picked near that value.