Dec 17, 2024 · The apparent contradiction between the request of measurements in geometry and unmeasurable shapes in topology is resolved if we look at the history of geometric topology. It …

Mar 13, 2025 · Vector spaces are often described as a set of arrows, i.e. a line segment with a direction that can be added, stretched, or compressed. That's where the term linear to describe addition and …

Dec 16, 2015 · It’s a principle as old as science itself, and remarkably, remains unchanged in the light of revolution after revolution in our understanding of physics.

Jan 9, 2016 · Allo, this is my first post here. I must say this forum has everything not just Physics but Mathematics and Engineering, all my favorite things. Introduction: I would like to start with an …

Nov 4, 2005 · The discussion clarifies the meaning of "i, j, k" in vector notation, which represents the unit vectors along the x, y, and z axes, respectively. This notation allows for a standardized expression of …

Nov 30, 2018 · The magnetic field (or any vector field) has a strength and a direction at every point in space. If you pick a starting point and just “go with the flow” of the field, the path you follow is a field …

Jul 28, 2009 · The Scherrer equation is used to determine crystallite sizes from XRD spectra. they contain K, a shape factor, that varies from 0.89 for spherical to 0.94 for cubic particles. Usually, this …

Mar 4, 2025 · Well, that is actually where my confusion starts. I take an operator to be a map from a function to a function. It may not be closure in the Hilbert space, so people usually restrict its domain …

May 6, 2009 · Learn about the vector cross product and its application in torque calculations Explore the differences between external and internal moments in structural engineering

Jun 11, 2022 · The point dipole model has quite a bit to say; its simplicity makes it a good place to start the mathematical analysis of a magnet falling through a conducting pipe.