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[clarification needed] In the same paper, the author proposed two more monotone pairing functions that can be computed online in linear time and with logarithmic space; the first can also be computed offline with zero space. [4] [clarification needed] In 2001, Pigeon proposed a pairing function based on bit-interleaving, defined recursively as:
In mathematics, Abel's identity (also called Abel's formula [1] or Abel's differential equation identity) is an equation that expresses the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient of the original differential equation.
Reduction of order (or d’Alembert reduction) is a technique in mathematics for solving second-order linear ordinary differential equations.It is employed when one solution () is known and a second linearly independent solution () is desired.
For lines with slope greater than 1, we reverse the role of x and y i.e. we sample at dy=1 and calculate consecutive x values as + = + + = + Similar calculations are carried out to determine pixel positions along a line with negative slope.
Jared McCain had a career-high 27 points as the Philadelphia 76ers snapped a five-game losing streak with a 107-105 overtime win over the Charlotte Hornets on Sunday night. The Sixers first-round ...
On a single-step or immediate-execution calculator, the user presses a key for each operation, calculating all the intermediate results, before the final value is shown. [1] [2] [3] On an expression or formula calculator, one types in an expression and then presses a key, such as "=" or "Enter", to evaluate the expression.
If this was just five years ago, let alone 10 or 20, the prospect of 72-year-old Bill Belichick as a college football coach would have been more about a splashy hire than the promise of great success.
A G1 (Minor) watch has been issued for 28 Nov and a G2 (Moderate) watch was issued for 29 Nov due to the arrival of a CME associated with a filament eruption that took off the Sun late on 25 Nov ...