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The equation is named after Edward Wight Washburn; [1] also known as Lucas–Washburn equation, considering that Richard Lucas [2] wrote a similar paper three years earlier, or the Bell-Cameron-Lucas-Washburn equation, considering J.M. Bell and F.K. Cameron's discovery of the form of the equation in 1906. [3]
The conjecture is that there is a simple way to tell whether such equations have a finite or infinite number of rational solutions. More specifically, the Millennium Prize version of the conjecture is that, if the elliptic curve E has rank r , then the L -function L ( E , s ) associated with it vanishes to order r at s = 1 .
For the condition of short time this shows a meniscus front position proportional to time rather than the Lucas-Washburn square root of time, and the independence of viscosity demonstrates plug flow. As time increases after the initial time of acceleration, the equation decays to the familiar Lucas-Washburn form dependent on viscosity and the ...
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A force balance equation known as Washburn's equation for the above material having cylindrical pores is given as: [1] ...
These Calculators Make Quick Work of Standard Math, Accounting Problems, and Complex Equations Stephen Slaybaugh, Danny Perez, Alex Rennie May 21, 2024 at 2:44 PM
Washburn was born in Beatrice, Nebraska, in the family of William Gilmor Washburn, a lumber and brick merchant. Having taken all the chemistry courses available at the University of Nebraska (1899–1900) while teaching high school students (1899–1901), he entered the Massachusetts Institute of Technology in 1901, receiving a B.S. in ...
A Lucas pseudoprime for a given (P, Q) pair is a positive composite integer n for which equation is true (see, [1] page 1391). A Lucas probable prime test is most useful if D is chosen such that the Jacobi symbol ( D n ) {\displaystyle \left({\tfrac {D}{n}}\right)} is −1 (see pages 1401–1409 of, [ 1 ] page 1024 of, [ 5 ] or pages 266–269 ...