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The Many Faces of Topology - Physics Forums
2024年12月17日 · Topology of Vector Spaces. A topological vector space is a vector space with a compatible topological structure, e.g. induced by a metric. Compatibility means that scalar …
Visualizing fields around coils (statics and magnetostatics)
5 天之前 · By experience, my biggest problem with visualizing vector fields is with scaling: field lines can gets too crammed in one part and nonexistent in other parts, and when I try to plot …
Geometry Problem involving packing Hexagons into Circles
2013年3月12日 · For instance in a 2 foot=0.6096m diameter circular shape I can fit around 7 hexagonal shapes. Even though the logical answer is around 21 the geometry behind it allows …
Proving the Vector Triple Product Identity: A x (B x C) = (A x C)B
2015年9月1日 · Prove Vector Quadruple Product with Levi-Civita/Index Notation. Oct 7, 2021; Replies 14 Views 12K.
What Are the Strangest Vector Spaces You Can Imagine? - Physics …
2013年2月20日 · I also liked it when I realized that some sets functions are a vector space and you can basically think of them as n-tuples (for [itex]n = 2^{\aleph_0}[/itex]). Was the first time I …
A six-vector is related to a 2nd rank antisymmetric tensor in …
2024年6月14日 · A six-vector is an extension of the traditional four-vector used in relativity, incorporating additional dimensions to represent more complex physical quantities. In the …
Vector Notation, arrow coupled with hat versus hat alone - Physics …
2012年9月24日 · I've attached the .pdf from which I have questions. After it says "Take the square of the numerator" halfway down the page, there is an equation that lists vector components …
Calculate lift from pressure distribution - Physics Forums
2021年12月9日 · It is the direction the surface is tilted toward at that (infinitesimal) position. It is usually specified by the direction of the vector normal to the surface at that point. That normal …
Is there research on 4D wave propagation in 3D solids? - Physics …
2020年1月29日 · I am uncertain if this belongs in the differential geometry thread because I don't know what area of mathematics my question belongs into begin with, but of the math threads …
In magnetism, what is the difference between the B and H fields?
2010年1月18日 · If course all vector fields exist. I meant real in the sense of "natural". You can do physics with one simple law for the B field, but difficulties in the numerical solution. Or you can …