Recent content by H Tomasz Grzybowski
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Undergrad On the logical-ness of the principle of superposition
The Principle of Linear Superposition for EM fields says that E vectors and H vectors add whenever fields from several point reach a given point.- H Tomasz Grzybowski
- Post #6
- Forum: Optics
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Undergrad On the logical-ness of the principle of superposition
Think about focusing a coherent EM wave, Let r be the distance from the focus. According to the Law of Energy Conservation the electric field E should be proportional to 1/r, but according to the Linear Superposition Principle E should be proportional to 1/r^2. Does anybody have experimental...- H Tomasz Grzybowski
- Post #4
- Forum: Optics
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Graduate Transfinite Taylor series of exp(x) and of h(x)
Yes, by "Stirling formula" I mean the approximation of n!. Regarding exp(Aleph(0)), each tansfinite term is equal to Continuum, so if there are no more than Continuum terms, the sum equals Continuum. My question is about possible extension of Taylor series of h(x), but as of now, I do not know...- H Tomasz Grzybowski
- Post #7
- Forum: Topology and Analysis
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Graduate Transfinite Taylor series of exp(x) and of h(x)
The above refers to a transfinite Taylor series of exp(x). Taylor series of h(x) remains unknown.- H Tomasz Grzybowski
- Post #5
- Forum: Topology and Analysis
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Graduate Transfinite Taylor series of exp(x) and of h(x)
I clearly stated that I want TRANSFINITE Taylor series. When you look at a term omega+n of transfinite Taylor series, it follows from the Stirling formula that such a term evaluated at Aleph(0) wil have value Continuum. So will any transfinite sum not exceeding Continuum terms.- H Tomasz Grzybowski
- Post #4
- Forum: Topology and Analysis
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Graduate Mechanism of α decay - truth about structure of nuclei
I theorize myself. It seems natural to think that there are some oscillations which after some time lead to α decay. And it looks like these oscillatons are incessant. So it invokes the idea of null oscilations.- H Tomasz Grzybowski
- Post #10
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Mechanism of α decay - truth about structure of nuclei
So it looks like we should believe inexistence of nuclear null oscllations. Can the energy of these oscillations be calculated using Planck constant h = 6.6267⋅10^-34 J⋅s ?- H Tomasz Grzybowski
- Post #8
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Mechanism of α decay - truth about structure of nuclei
Here is a link to a quantum mechanical theory of alpha decay: https://web.archive.org/web/20090224200050/http://www.phy.uct.ac.za/courses/phy300w/np/ch1/node38.html- H Tomasz Grzybowski
- Post #5
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Dependence of loss factor tan(δ) upon H in MnZn ferrites
Here is a link to ferrite data sheet: http://www.cosmoferrites.com/Downloads/Alnh/CF139.pdf- H Tomasz Grzybowski
- Post #3
- Forum: Atomic and Condensed Matter
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Graduate Transfinite Taylor series of exp(x) and of h(x)
Let h(h(x)) = exp(x), where h(⋅) is holomorphic in the whole ℂ plane. I want an extension of the domain of exp(⋅) and of h(⋅) so that we can find values of these functions for x = Aleph(0).- H Tomasz Grzybowski
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- Series Taylor Taylor series Transfinite
- Replies: 6
- Forum: Topology and Analysis
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Graduate Mechanism of α decay - truth about structure of nuclei
α decay probably implies that heavy enough nuclei which undergo this decay, consist relatively loosely bound α particles and extra neutrons. I haven't found any theory which views nuclei in this way. I value truth in science, and would like to know it, also regarding stucture of nuclei and...- H Tomasz Grzybowski
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- Alpha decay Decay Mechanism Nuclei Structure
- Replies: 10
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Dependence of loss factor tan(δ) upon H in MnZn ferrites
There is ηB constant given as a hysteresis material constant. But there is the question: what is the limit of applicability of the formula Δ(tan(δ)) = ηB⋅ΔB⋅μe? In particular I think I want to use ferrite with μi = 2000 or so. Up to what H value will tan(δ) increase linearly with B ?- H Tomasz Grzybowski
- Thread
- Loss
- Replies: 2
- Forum: Atomic and Condensed Matter