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Visualizing properties of a quadratic function using Torricelli’S fountain
(American Association of Physics Teachers, 2020)
In the same chapter of his book Opera geometrica, Torricelli published1 two discoveries: 1) initial velocity of a jet from a container increases with the square root of the depth of the hole¸ 2) he draw the pattern of ...
Trajectory-based interpretation of laser light diffraction by a sharp edge
(Springer New York LLC, 2018)
In the diffraction pattern produced by a half-plane sharp edge when it obstructs the passage of a laser beam, two characteristic regions are noticeable. There is a central region, where the diffraction of laser light appears ...
Mode Analysis of the Optical and the Microwave Waveguides Using Electromagnetic Energy Flow Lines
(Acta Physica Polonica A, 2009)
To better elucidate the essential energy transmission Mechanism in the most common, typical waveguides, the electromagnetic energy flow lines for a planar optical slab waveguide and a microwave rectangular waveguide are ...
Synthesis and performance of polymer based magnetic composite sensing element
(Digest Journal of Nanomaterials and Biostructures, 2015)
The commercial multi-mode optical fiber was coated with magnetic composite material prepared using Nd-Fe-B permanent magnet powder dispersed in poly (ethylene-co-vinyl acetate)-EVA. Characterization of microstructure, ...
On the genus of the intersection graph of ideals of a commutative ring
(Journal of Algebra and Its Applications, 2014)
To each commutative ring R one can associate the graph G(R), called the intersection graph of ideals, whose vertices are nontrivial ideals of R. In this paper, we try to establish some connections between commutative ring ...
Image positions of a vertical rod in a liquid-filled cylindrical container
(Institute of Physics Publishing, 2014)
We describe a rather simple optical experiment, which many students can easily carry out, but the theoretical explanation of which requires far-from-simple mathematical analysis and application of numerical methods. A thin ...
Operator method for calculating q symbols and their relation to weyl-wigner symbols and symplectic tomogram symbols
(Maik Nauka Publishing / Springer SBM, 2014)
We propose a new method for calculating Husimi symbols of operators. In contrast to the standard method, it does not require using the anti-normal-ordering procedure. According to this method, the coordinate and momentum ...
Scale transformations in phase space and stretched states of a harmonic oscillator
(Maik Nauka Publishing / Springer SBM, 2017)
We consider scale transformations (q, p) - gt (lambda q, lambda p) in phase space. They induce transformations of the Husimi functions H(q, p) defined in this space. We consider the Husimi functions for states that are ...
Toroidality of Intersection Graphs of Ideals of Commutative Rings
(Springer-Verlag Tokyo, 2014)
Let R be a commutative ring with identity and G(R) its intersection graph. In this paper, all toroidal graphs that are intersection graphs are classified. An improvement over the previous results concerning the planarity ...