What do convergence and divergence mean? And why do they …
2015年5月2日 · 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 still on integration by parts, so try to explain in simple terms. This site scares me sometimes... xD. Thanks!
NIntegrate Error in Mathematica - Physics Forums
2009年7月3日 · NIntegrate::slwcon: Numerical integration converging too slowly; \ suspect one of the following: singularity, value of the integration \ is 0, highly oscillatory integrand, or WorkingPrecision too small. >> NIntegrate::ncvb: NIntegrate failed to converge to prescribed \ accuracy after 9 recursive bisections in y near {y} = {1.5301}.
Sequence of rationals converging to an irrational limit - Physics …
2009年8月23日 · Why is it important to study sequences of rationals converging to an irrational limit? Studying sequences of rationals converging to an irrational limit can help us understand the concept of limits and the relationship between rational and irrational numbers. It also has applications in various fields such as calculus, number theory, and physics.
Rational sequence converging to irrational - Physics Forums
2017年12月10日 · Yes, there are many practical applications of rational sequences converging to irrational numbers in fields such as engineering, physics, and computer science. For example, in computer algorithms, irrational numbers are often approximated using rational sequences for more efficient and accurate calculations.
Identifying Converging and Diverging Lenses ... - Physics Forums
2005年2月1日 · In a converging lens, the image height will be positive, while in a diverging lens, the image height will be negative. How do converging and diverging lenses work together in a compound microscope? In a compound microscope, a converging lens is used to magnify the image of the object, while a diverging lens is used to enlarge the image further.
Why is my COMSOL solution not converging? - Physics Forums
2009年8月12日 · 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...
sequence of rationals with subsequences converging to every real …
I need an example of a sequence of rationals with subsequences converging to every real number but I can't think of any. I think the fact that Q is dense in R comes into play but I'm confused.
Understanding a Converging Lens and Its Two Positions - Physics …
2019年10月24日 · A converging lens is a type of lens that causes parallel rays of light to converge at a point, also known as the focal point. This type of lens is thicker in the middle and thinner at the edges, and is commonly used in magnifying glasses, cameras, and telescopes.
Graphically determining the focal length of a converging lens
2023年11月5日 · In summary, determining the focal length of a converging lens graphically involves plotting the lens formula using a ray diagram. By drawing incident rays parallel to the principal axis, one can trace their paths after passing through the lens to find the focal point. The distance from the lens to the focal point represents the focal length.
Converging Vs diverging sequences - Physics Forums
2020年9月30日 · Converging and diverging sequences are used in various fields of science and engineering to model and predict real-life phenomena. For example, in physics, converging sequences are used to calculate the speed of an object as it approaches a specific point, while diverging sequences can be used to model the growth of populations or the decay of ...