The Journal below offers a free guest download of the Vol. 76 essays, and so this morning I managed after a week of recovering from our Apple ibook crashed after updating the Mac OS 10.4.11 (Tiger), fortunately my older imac with Mac OS 9 and 10 took the update, and eventually I got my Brother Printer reinstalled and
Mafia, at it's best, means "family first", at it's worst it degenerates to what the multimedia portrays to it's vast audience. My take is to use the term "refma" (reformed mafia") that means it has adopted standard practices of top down corporations, and I'll leave it at that.
The JPSJ offer to download to registered guests for limited period of time is "progressive" and I tried to thanks them, but that bogged down, so I returned to the physorg forums, and felt that the below link might aid in making the FM perform with a focus towards the light at the end of the tunnel, if there be a tunnel and or a light?
Oh, the gist of the article is that a Teacher is used as a standard to evaluate Students, not bad as a starter for the physorg forms. I don't have any solutions except participation, ever since I got to hear and see our local Nobel Prize Lourette, Douglass C North speak about groups and groups of groups, their communications with each other and between groups, after he and his wife had just returned last August from a conference amongst some 70 of their top economists, I've gotten "emboldened" about writing somewhat as an expert, which I am not relative to those I am reading from the organized professional groups.
Journal of the Physical Society of Japan
Vol. 76 No. 11, November, 2007, 114006 (8 pages)
URL :
http://jpsj.ipap.jp/link?JPSJ/76/114006/
DOI : 10.1143/JPSJ.76.114006
[title]:Theory of Time Domain Ensemble On-Line Learning of Perceptron under the Existence of External Noise
[authors]:Tatsuya Uezu*, Seiji Miyoshi1, Mika Izuo2, and Masato Okada3
Graduate School of Humanities and Sciences, Nara Women's University, Kitauoyahigashi-machi, Nara 630-8506
1Department of Electronic Engineering, Kobe City College of Technology, 8-3 Gakuenhigashimachi, Nishi-ku, Kobe 651-2194
2Department of Physics, Faculty of Science, Nara Women's University, Kitauoyahigashi-machi, Nara 630-8506
3Division of Transdisciplinary of Sciences, Graduate School of Frontier Sciences, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8561
(Received May 12, 2007; Accepted September 10, 2007; Published November 12, 2007)
[Abstract]:We analyze the time domain ensemble on-line learning of a Perceptron under the existence of external noise. We adopt three typical learning rules, Hebbian, Perceptron, and AdaTron rules. We treat the input and output noises. In order to improve the learning when it does not succeed in the sense that the student vector does not converge to the teacher vector, we use an averaging method and give theoretical analysis of the method. We obtain the precise formula for the overlap between the teacher vector and the time averaged student vector for t→∞ limit as a function of the number of student vectors to be averaged. We compare the theoretical results with numerical simulations and find that the theoretical results agree quite well with the numerical simulations.
KEYWORDS: Perceptron, on-line learning, noise, time domain ensemble
[comments]:
But, and there is the good news: In examining and printing out sme seven or eight of the papers in Vol 76, I found figures of the regular triplets, two in particular that match the toy ball vertexs and stick rods, that connect magnetically to construct polyhedron, regular (flat equal lateral triangles, felts). See Roger's Connectins, magnetic building set, www.dstoys.com.
To launch into it quickly, consider this figure 1 description:
{{We begin from the regularization of Sb in eq. (44). In accordance with the previous studies, we introduce a cutoff function in order to take into account the effect of the small Fig. 3. Contour plots of the eigenfunctions of the massless scalar field obeying the Dirichlet boundary condition on the surface of an equilateral triangular domain with L 1⁄41. The mode numbers and eigenfrequency are shown in each figure. }}
If you cannot get the essay from this, I add comments below:
{{Casimir Energy of the Massless Scalar Field
Confined in an Equilateral Triangular Domain
Norio I NUI Graduate School of Engineering, University of Hyogo, 2167 Shosha, Himeji, Hyogo 671-2280
(Received April 20, 2007; accepted August 9, 2007; published October 25, 2007)
We regularize an infinite summation of the zero-point energy for the massless scalar field obeying the Dirichlet boundary condition on the surface of an equilateral triangular domain, and we calculate the Casimir energy for the relevant field configuration. To evaluate the infinite summation over two distinct nonzero integers, we generalize the Abel–Plana formula so that the finite summation in which the upper bound is a variable integer is expressed in terms of integrals. The obtained approximate value of the Casimir energy density in the equilateral triangular domain with side length L is 0:4681h
That hurt, man. That really, really hurt.
But honestly, be careful with those magnets from your polyhedron sculpture.(Did you make a merkaba?) Those are the ones that can be a problem if you swallow them-very dangerous.