What do convergence and divergence mean? And why do they matter? 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
Series that converge to $\pi$ quickly - Mathematics Stack Exchange 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 computations of $\pi$, such as the one from this Summer
How to model converging illumination through object plane (in ZEMAX) Hello community, I'm designing a projection lens system for a 35mm film projector in Zemax OpticStudio and struggling with the correct sequential mode setup for the illumination geometry The light source is a Xenon short-arc lamp reflected by an ellipsoid mirror, which creates a converging
Why is my COMSOL solution not converging? - Physics Forums 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 the convegence of the solution I keep getting the following error: "Failed to find a solution: The
Identifying Converging and Diverging Lenses: Explaining with Principal . . . 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 on the opposite side, while a concave lens will cause rays to diverge, appearing to originate from a point on the same side as the object Drawing the three principal rays—one through the center, one parallel
Is there a pressure ratio limit for choked flow through a c-d nozzle . . . Just like in the case with the problem and solution above, the divergent part of the nozzle increased the throat velocity over a simple converging nozzle with the same minimum area If the diverging section was made smaller in a c-d nozzle, the flow would decrease
Calculating the Final Image Location in a Compound Lens System 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 positioned at x = -20 cm, while the second lens, with a focal length of +8 cm, is at x = +20 cm The user attempts to apply the lens formula but struggles with the calculations, yielding incorrect image positions
Is it possible to have a Mach number greater than 1 at the throat? 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 equal 1, as flow cannot accelerate beyond this point in a converging section However, it is clarified that if the inlet Mach number is supersonic, the throat can indeed exhibit a Mach number greater than 1
Finding Distance Between Lens Positions: Solve for a A converging lens of focal length f = 4 2 cm forms a sharp image for two positions of the lens What is the distance a between these two positions? Homework Equations 1 p + 1 q = 1 f The Attempt at a Solution I am very confused with this problem and really have no idea where to begin If anyone can provide some assistance, that would be great