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math/107483_db9c0f2f4b6f960d_2357.txt | We construct the E8 algebra in terms of the tensorial representations of its SU9 maximal subalgebra. We then construct the supersymmetric gauge-invariant boson-fermion coupling, and decompose it completely into terms exhibiting color SU3 and family SU5 symmetries. This work promotes a scheme of E8 super grand unificati... |
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math/107483_db9c0f2f4b6f960d_2921.txt | The management and combination of uncertain, imprecise, fuzzy and even paradoxical or high conflicting sources of information has always been and still remains of primal importance for the development of reliable information fusion systems. In this short survey paper, we present the theory of plausible and paradoxical ... |
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math/13261_4fe0806401678203_280.txt | *Triggering event.* In § 35.151(c)(2) of the NPRM, the Department proposed that the commencement of construction serve as the triggering event for applying the proposed standards to new construction and alterations under title II. This language is consistent with the triggering event set forth in § 35.151(a) of the 199... |
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math/2710_db9c0f2f4b6f960d_1586.txt | This paper first defines "general, human-like artificial intelligence" (GHLAI) in terms of five principles. In the light of the definition, the paper summarises the strengths and potential of the "SP theory of intelligence" and its realisation in the "computer model", outlined in an appendix, in three main areas: the v... |
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math/3742825_a5801def072ec91c_544.txt | But are we able to “read” the minds of other people? In book II of his *Psychology from an Empirical Standpoint*, Brentano argues that psychology could not acquire the status of a proper science merely on the basis of the data of inner perception. We need to make sure that our conception of the mind is not biased by ou... |
math/107483_db9c0f2f4b6f960d_176.txt | This research paper presents an in-depth exploration of a neural network architecture tailored for intent classification using sentence embeddings. The model comprises a feedforward neural network with two hidden layers, ReLU activation functions, and softmax activation in the output layer. This paper meticulously exam... |
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math/59738_04d6c7dfec7c0d97_82.txt | I think you could be on to something when you mentioned about parents possibly overlooking the ADHD behavior in the children, and coddling them or thinking they were cute. (especially us older folks) I TOTALLY SAW THIS in regards to the relationship between my ADHD husband and his mother. My husband was his mother's "f... |
math/3742825_029af0a44731fcc2_33.txt | Frontier AI developers may fail to align or control highly-capable AI agents. In many cases, it could be useful to have emergency shutdown mechanisms which effectively prevent misaligned agents from carrying out harmful actions in the world. We introduce password-activated shutdown protocols (PAS protocols) -- methods ... |
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math/ce3f16cf_9874.txt | Voronoi tessellations of regular lattices of points in two or three dimensions give rise to many familiar tessellations. A 2D lattice gives an irregular honeycomb tessellation, with equal hexagons with point symmetry; in the case of a regular triangular lattice it is regular; in the case of a rectangular lattice the he... |
math/107483_db9c0f2f4b6f960d_885.txt | Arthur H. Compton published his light photon scattering theory in 1922. He derived a remarkably elegant formula which now bears his name, the Compton scattering formula: λ' - λ = λ\_c(1 - cos(φ). It was derived basically from energy and momentum conservation considerations for collision of x-ray or gamma-ray photons wi... |
math/107483_db9c0f2f4b6f960d_1507.txt | In this paper, we introduce the concepts of critically reading research papers and writing of research proposals and reports. Research methods is a general term that includes the processes of observation of the world around the researcher, linking background knowledge with foreground questions, drafting a plan of colle... |
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math/353276_d0fe46e444a903da_94.txt | Proposition 9.16 also has applications to Question 8.22, which asks the extent to which the Steklov spectrum of an orbifold \({\mathcal {O}}\) recognises the types of singularities in \({\mathcal {O}}\). Indeed, Shams, Stanhope and Webb [240 87(4), 375–384 (2006)")] and also Rosetti, Schueth and Weilandt [234, 351–366 ... |
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math/2853639_b9fcd86c2dbe2dbc_41.txt | Proof. Since un (x) ≥ 0, the partial sums sn (x) increase to s(x), so the conclusion follows from Corollary 2. 1.9. Historical remarks Sometime around the year 1670, Isaac Newton (1642–1727) and Gottfried Wilhelm Leibniz (1646–1716) discovered the basic principles of calculus. The techniques were effective in solving ... |
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math/92171_66f50856c50fe99e_166.txt | The recent rapid progress in (self) supervised learning models is in large part predicted by empirical scaling laws: a model's performance scales proportionally to its size. Analogous scaling laws remain elusive for reinforcement learning domains, however, where increasing the parameter count of a model often hurts its... |
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math/735679_ad2a229f4d76f0eb_375.txt | Category theory can be thought of as a language and a framework for making comparisons between different worlds. Often the comparisons consist of forgetting certain details in two worlds so that we see a sense in which the two worlds are the same deep down. In this talk we’ll apply this principle to two constructions t... |
math/92171_f467e2efefddb294_680.txt | Soft robots are powerful tools for manipulating delicate objects, yet their adoption is hindered by two gaps: the lack of integrated tactile sensing and sensor signal distortion caused by actuator deformations. This paper addresses these challenges by introducing the SoftMag actuator: a magnetic tactile-sensorized soft... |
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math/18b4a2ad_149340.txt | Babylonian mathematicians , as early as 2000 BC (displayed on Old Babylonian clay tablets ) could solve problems relating the areas and sides of rectangles. There is evidence dating this algorithm as far back as the Third Dynasty of Ur . 19 In modern notation, the problems typically involved solving a pair of simul... |
math/1866757_3d2a0cb181bd7e3a_256.txt | In a space of elements which we metrize to define analogy by an e-proximity we may consider transformations of the space on itself that preserve analogy, that is, any two analogous elements are transformed into analogous ones. One would like to know in some cases that the transformation of the Euclidean space that has ... |
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math/2825922_2169835fbed02b9b_665.txt | No actual animal propels itself across the ground by rolling like a disk or a sphere, but our insect room would be incomplete without an exhibit of a remarkable insect that transports its food by rolling near¬ perfect spheres. I refer to the dung beetle, the sacred scarab of ancient Egypt. These sometimes beautiful ins... |
math/1475_b2f56c16149e8d39_26.txt | 87. If we are going to have a caesar salad, then we need to buy some eggs. We did not buy eggs. Therefore, we are not going to have a caesar salad. 88. If we serve lasagna, then Eva will not come to our dinner party. We did not serve lasagna. Therefore, Eva came to our dinner party. ■ In Exercises 89 to 92, use an Eule... |
math/735679_8faa9997ae6fbdd7_394.txt | When the WMAP data arrived in February 2003, it only partially confirmed the prevailing infinite-flat model of the universe. All the small and medium-size temperature waves were present as predicted, but the model failed to find any of the broad wavelengths that should exist in such a large and infinite universe. One e... |
math/3742825_d4655b6808b69bdd_308.txt | Ensembles of machine learning models yield improved system performance as well as robust and interpretable uncertainty estimates; however, their inference costs can be prohibitively high. Ensemble Distribution Distillation (EnD 2 ) is an approach that allows a single model to efficiently capture both the predictive per... |
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math/3742825_a5801def072ec91c_1174.txt | (2) The possible solutions to some of the equations of quantum mechanics form a discrete set, not a continuous one. For example, the possible values of certain variables such as energy states of an electron within an atom are allowed by the equations to have values that change to another value only in multiples of mini... |
math/4922055_5a1d19068682d98d_87.txt | Weâre still doing that today â still shooting our physical and verbal missiles at the illusions on the screen of our media-fabricated villains. Carl Jung wrote a lot about the notion of psychological projection. He taught that it is meant to be only the first part of a two-part technique, the second part of which i... |
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math/1866757_bb0f8b9cd73ec091_308.txt | Note that in general there is only one term in (22.4.1) involving the highest cumulant ᴋn, thus the moment cumulant formulae can be inductively resolved for the ᴋn in terms of the moments. More concretely, the set of non-crossing partitions forms a lattice with respect to refinement order and the ᴋn are given by the Mö... |
math/59738_917af05a833636ef_122.txt | Don’t let anyone tell you, that you are self-centered. Throughout your life, you have experienced much difficulty, pain, internal conflict, as well as conflict in your relationships simply because most individuals will not see the things that you see, think in the ways that you do, and experience the world as you do. F... |
math/4922055_dcd4406d5f48241d_637.txt | “I can see no essential difference between the materialism which includes soul as a complicated type of material particle and a spiritualism which includes material particles as a primitive type of soul,” Wiener added in 1934.43 Leibniz believed, following Hobbes and in advance of Hilbert, that a consistent system of l... |
math/1125087_66f50856c50fe99e_50.txt | The renowned difference-in-differences (DiD) estimator relies on the assumption of 'parallel trends,' which may not hold in many practical applications. To address this issue, economists are increasingly considering the triple difference estimator as a more credible alternative. Both DiD and triple difference are limit... |
math/3742825_a5801def072ec91c_2549.txt | Leibniz’s theory of possible worlds went on to influence some of the standard ways in which modal metaphysics is analyzed in contemporary Anglo-American analytic philosophy. The theory of possible worlds that he developed and utilized in his philosophy was extremely nuanced and had implications for many different areas... |
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math/2486718_94c08a9872027b6b_698.txt | 15. Analysis, Synthesis, the Infinite, and Numbers Andersen, K. “The Mathematical Technique in Fermat’s Deduction of the Law of Refraction,” Historia Mathematica, 10 (1983), 4862. . “Cavalieri’s Method of Indivisibles,” Archive for History of Exact Sciences, 31 (1985), 291367. Bos, H. J. M. “On the Representation of ... |
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math/2710_db9c0f2f4b6f960d_2755.txt | Infinite primes is a purely TGD inspired notion. The notion of infinity is number theoretical and infinite primes have well defined di properties. One can partially order them by the real norm. p-Adic norms of infinite primes are well defined and finite. The construction of infinite primes is a hierarchical procedure s... |
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math/735679_af678257aa78969e_178.txt | The insertion of the minus sign into the definition is standard; as we shall see shortly, it is motivated by our earlier definition of the sign of the curvature of normal sections. The surface S and the sphere S2 have the same normal vector n(p) at p and n(p), respectively. Thus their tangent planes Tp and Tn(p) at these... |
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math/0a8e63c9_5388.txt | Let M be a manifold and \(f,g\in \textrm{Flow}_{M}\). Then \(g*f \; {\mathop {\sim }\limits ^{p}}\; g\cdot f\). Before the proof, let us fix some conventions. Flows are paths \(f:{{\mathbb {I}}}\rightarrow {\textbf{TOP}}^h(M,M)\) and then homotopies of paths are maps \(H:{{\mathbb {I}}}\times {{\mathbb {I}}}\rightarrow... |
math/2710_db9c0f2f4b6f960d_2991.txt | Let ω(i) be period of rotation of the i-th planet around the Sun (or ωj(i) be period of rotation of j-th satellite around the i-th planet). From empirical observations it is known that within margins of experimental errors Σi niω(i) = 0 (or Σj njωj(i) = 0) for some integers ni (or nj ), different for different satellit... |
math/92171_ba70cc4b793ac527_14.txt | The gradient flow is much better as there is no saturation on the positive end. However, if it ls less than 0, the gradients are again 0 and this is an issue and have the issue what is called a dead ReLU which is a ReLU that has inputs coming to it with negative values and then it will not really learn anything because... |
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math/729033_48155ebf7a3ccceb_16433.txt | is in process now and will be followed with stormwater drainage lines being put into place. The first steel beam was put up last Monday. The water is believed to come from a subsurface ocean on Europa. The Hubble data were taken on January 26 [url=https://www.motel-rocks.us/][b]motel rocks bikini[/b][/url], from local ... |
math/2825922_ea43d09e3c6ae6ed_714.txt | Biography (Continued) Bachet de Méziriac, Claude-Gaspar (1581–1638) Ball, Walter William Rouse (1850–1925) Banach, Stefan (1892–1945) Barbaro, Daniele (1513–1570) Barlow, Peter (1776–1862) Bayes, Thomas (1702–1761) Bell, Eric Temple (1883–1960) Bernoulli family Bessel, Friedrich Wilhelm (1784–1846) Birkhoff, George Dav... |
math/4922055_e42a10955bd4d882_157.txt | The scenario of the populace of the past is this… Most of them were barely literate so those who wrote these tales for them were dedicated storytellers, scribes, philosophers, and just as it is today, ignorance and indifference played a huge part in their successful implantation of the stories on offer. Your rank and f... |
math/47e99b50_4449.txt | An eigenvalue in discriminant analysis is the characteristic root of each function.[clarification needed] It is an indication of how well that function differentiates the groups, where the larger the eigenvalue, the better the function differentiates. This however, should be interpreted with caution, as eigenvalues hav... |
math/107483_db9c0f2f4b6f960d_2847.txt | In a quantum information approach to quantum gravity, one naturally extends the Bilson-Thompson braid particle spectrum by a right handed neutrino sector. This suggests a parity restoring non local form of mirror matter, considered as a novel contributor to the dark matter sector. In the non standard Riofrio cosmology,... |
math/107483_db9c0f2f4b6f960d_241.txt | In the local gluing one glues local neighborhoods around the critical point of the stable and unstable manifolds to gradient flow lines defined on a finite time interval [−T,T] for large T. If the Riemannian metric around the critical point is locally Euclidean, the local gluing map can be written down explicitly. In t... |
math/2825922_2169835fbed02b9b_291.txt | The odds in favor of B beating A are given by the ratio AA — AB:BB — BA. In this case 68—1:64—35 = 67:29. As an exercise, the reader can try calculating the odds in favor of THH beating HHH. The four leading numbers will be AA = 7, BB = 4, AB = 0, and BA = 3. Plugging these into the formula, AA — AB:BB—BA gives odds of... |
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math/363652_fbb249f58a1ea9af_365.txt | 1. The age of the formation must be known rather accurately. In the V90 criteria, the age should be known to within a half of a geological period data. For Precambrian rocks, the age should be known to within ± 4% or 40 Myr, whichever is smaller. Some applications require that poles be rotated from one continental refe... |
math/3742825_d4655b6808b69bdd_466.txt | Piano transcription systems are typically optimized to estimate pitch activity at each frame of audio. They are often followed by carefully designed heuristics and post-processing algorithms to estimate note events from the frame-level predictions. Recent methods have also framed piano transcription as a multi-task lea... |
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math/729033_c4d0fa238e1627be_143.txt | It was the toughest and slowest not even half marathon I've ever run. For those interested in numbers the first 5kms took 35mins and the second 5kms took 1hr 48min... But it was so worth it as running the ridge and then climbing up through the gap was a truly a magical experience. The Gap is a feature at around the ha... |
math/2710_db9c0f2f4b6f960d_655.txt | The thinness of a simple graph G= (V,E) is the smallest integer k for which there exist a total order (V, <) and a partition of V into k classes (V\_1,...,V\_k) such that, for all u, v, w in V with u<v<w, if u and v belong to the same class and {u,w} is in E, then {v,w} is in E. We prove that (1) there are $n$-vertex g... |
math/353276_f467e2efefddb294_637.txt | Mistake analysis in procedural activities is a critical area of research with applications spanning industrial automation, physical rehabilitation, education and human-robot collaboration. This paper reviews vision-based methods for detecting and predicting mistakes in structured tasks, focusing on procedural and execu... |
math/4922055_dcd4406d5f48241d_607.txt | It is home to dozens of institutions of higher education and hundreds of thousands of university students. And it is home to what is arguably the most prestigious national scientific association in the world, the Royal Society. Founded in the 1600s during the Age of Enlightenment and formerly headed by Australia’s cata... |
math/3742825_d4655b6808b69bdd_1899.txt | Deep neural networks have achieved human-level capabilities in various learning tasks. However, they generally lose performance in more realistic scenarios like learning in a continual manner. In contrast, humans can incorporate their prior knowledge to learn new concepts efficiently without forgetting older ones. In t... |
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