I understand that when a series diverges, y doesn't approach 0 when x approaches infinity, and converging series do. But what does this say? I just want to understand some applications. NOTE: I'm...

In particular, take a look at the latest version of his talk on "The life of pi" (and its references!), which includes many of the fast converging algorithms and series used in practice for high precision …

Aug 12, 2009 · Hello, I'm a 2nd year student, and I'm trying to get to know COMSOL. I'm starting off by solving simple problems with the incompressible Navier-Stokes model, but I keep having trouble with …

Mar 5, 2012 · The discussion centers on whether a Mach number greater than 1 can occur at the throat of a converging-diverging nozzle. Initially, it is asserted that the Mach number at the throat must …

Nov 8, 2008 · The discussion revolves around calculating the final image location in a compound lens system consisting of two converging lenses. The first lens, with a focal length of +10 cm, is …

Nov 5, 2023 · So I have plotted all the given data points on a graph, putting 1/di on the y- axis and 1/do on the x-axis. I have to now find focal length from the graph...

Feb 1, 2005 · To determine whether a lens is converging or diverging, analyze the behavior of the principal rays after they pass through the lens. A convex lens will cause rays to converge at a point …

In 1910, Srinivasa Ramanujan found several rapidly converging infinite series of $\\pi$, such as $$ \\frac{1}{\\pi} = \\frac{2\\sqrt{2}}{9801} \\sum^\\infty_{k=0 ...

Nov 6, 2011 · 1. Two 25.0 cm focal length converging lenses are placed 16.5 cm apart. An object is placed 35.0 cm in front of one lens. Where will the final image formed by the second lens be located? …

Nov 15, 2014 · Why cheating? It is a concrete way of producing a sequence of rationals that converges to any irrational number of your choice.