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- 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
- Graphically determining the focal length of a converging lens
To determine the focal length of a converging lens graphically, plot the values of 1 di on the y-axis and 1 do on the x-axis Rearranging the lens formula 1 f = 1 do + 1 di allows for the identification of a linear relationship, where the graph should yield a line with a slope of -1 and a y-intercept of approximately 1 f Each data point corresponds to the ordered pairs (1 do, 1 di), which
- 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
- Calculating Flow Rate: Pressure Source to Converging Nozzle
The discussion focuses on calculating flow rate in a fluid system involving a pressure source and a converging nozzle, with an outlet to the atmosphere The user is attempting to determine the flow rate in gallons per minute (GPM) based on a pressure source of 100 psi and is considering various equations, including the Darcy-Weisbach and Hazen-Williams equations Key points include the need to
- 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
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