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math/2710_db9c0f2f4b6f960d_443.txt | In this paper we develop a modified Lagrangian for electrostatics based on the concept of voltage non-additivity, using recently-derived voltage boost transformation laws. Using a single dimensional physical space as a model, we solve the Euler-Lagrange equations for the electrostatic potential. It is shown that the mo... |
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math/107483_db9c0f2f4b6f960d_596.txt | Split Property of the black hole information paradox, the problem of the loss of information from black holes, are discussed by means of a novel approach based on the evolution of a quantum scalar field in a background that contains a black hole. We show that the paradox cannot be resolved by assuming split property. A... |
math/735679_1f76cca408c18bd5_0.txt | The concepts of origami and science would seem to be about as far apart as you can get within human fields of endeavor: the former, an art, a craft, associated with a Japanese tradition hundreds of years old; the latter, a strict, rationalist way of knowing. But remarkably, both fields extend tendrils of influence into th... |
math/2710_db9c0f2f4b6f960d_342.txt | We may define a binary relation. Then a nonempty finite set equipped with the binary relation is called a circle set. And we define a bijective mapping of the circle set, and the mapping is called a shift. We may construct a pitch structure over a circle set. And we may define a tonic and step of a pitch structure. The... |
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math/4922055_b38ad4db239966be_413.txt | !**ANSWER:** If there were such a thing as a magnetic monopole (like an isolated N or S pole) it would have a 1/*r*2 dependence for its field. You can verify this by looking at the field near a N pole a distance small compared to the distance to the location of the S pole. However, N and S poles always appear together ... |
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math/3742825_77f86a884891737a_859.txt | In this talk, we consider two models of random geometry of surfaces in high genus: combinatorial maps and hyperbolic surfaces. The geometric properties of random hyperbolic surfaces under the WeilâPetersson measure as the genus tends to infinity have been studied for around 15 years now, building notably on enumerati... |
math/3742825_77f86a884891737a_715.txt | We consider a natural random growth process with competition on Z^d called first-passage percolation in a hostile environment, that consists of two first-passage percolation processes FPP\_1 and FPP\_\lambda that compete for the occupancy of sites. Initially FPP\_1 occupies the origin and spreads through the edges of Z... |
math/3742825_029af0a44731fcc2_388.txt | Automated verification tools based on SMT solvers have made significant progress in verifying complex software systems. However, these tools face a fundamental tension between automation and performance when dealing with quantifier instantiation -- the primary source of incompleteness and verification slowdown in SMT-b... |
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math/92171_f467e2efefddb294_71.txt | Most existing 3D shape datasets and models focus solely on geometry, overlooking the material properties that determine how objects appear. We introduce a two-stage large language model (LLM) based method for inferring material composition directly from 3D point clouds with coarse segmentations. Our key insight is to d... |
math/353276_2ed2d1df17fe28a3_234.txt | The only answer I’ve seen that manages to get it without either breaking the unitary rules or covering everything in metaphysical verbiage is Jacques Mallah’s “Many Computations” approach. To recap, for others, the question is why actual counts of results of approximately (pace Heraclitus) repeated experiments show Bor... |
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math/42005_ac3eca3ff56f6f3e_153.txt | Then Arzela turned to continuous real-valued functionals defined on such an equicontinuous set J^ of functions - something which Ascoli had not done - and showed that, if the set J^ is d, i.e. contains all its limit-functions, the lower bound of the set of values of the functional, the upper bound and all values in bet... |
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math/f6760e76_148018.txt | displaystyle begin array cclcccc x( varphi ) amp; amp;a ;(- cos(2 varphi ) 2 cos varphi -1) amp; amp;2a(1- cos varphi ) cdot cos varphi amp; amp; y( varphi ) amp; amp;a ;(- sin(2 varphi ) 2 sin varphi ) amp; amp;2a(1- cos varphi ) cdot sin varphi amp;. amp; end array |
math/3742825_a5801def072ec91c_2512.txt | One final point concerning the illusion of free will: Spinoza uses belief in free will as one of his examples of error in IIP35S. IIP35 states that “falsity consists in the privation of knowledge which inadequate, or mutilated and confused ideas, involve.” In the Scholium, he reiterates the now familiar cause of the be... |
math/3742825_a5801def072ec91c_2355.txt | Let \((\mathfrak{A}\_i)\_{i \in I}\) be a collection of first-order structures of the same signature, indexed by \(I\), and \(U\) an ultrafilter over this indexing set \(I\). In this context, the Boolean algebra is \(\mathcal{P}(I)\) with the subset ordering \(\subset\), so a filter \(F \subset \mathcal{P}(I)\) is a se... |
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math/735679_1f76cca408c18bd5_413.txt | The name Origametria is made from the words origami and geometry. The term was created by the Israeli Origami Center (IOC) to describe its innovative program to teach curriculum geometry through origami. In Israel, the Origametria program is taught in 70 Jewish, Arab, and Christian schools. The IOC has a team of 40 tea... |
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math/3742825_a5801def072ec91c_2215.txt | Of course, these applications of impossible worlds are not exhaustive and, as we will see in Section 4, impossible worlds have limitations. Let us, however, suppose that the dilemma is irresistible, and that impossible worlds are, at least to some extent, as applicable as possible worlds are. Given so, one must always ... |
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math/2254655_d27c978779dc3cc1_290.txt | | | | | --- | --- | | | Data Generator Distance Use this component to generate data through a distance-based algorithm to be used in the Panel Controller Legacy version | | | Layout Controller Use this component to specify a layout pattern to a skin solution. | | | Layout Type Pattern Use this component to apply a... |
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math/729033_088416c6542a36aa_12567.txt | Washington willingly prolonged the crisis in order to weaken Britain during negotiations over Central America. The Fishery Dispute of 1852 1854 found Britain practising pressure politics. London used years of tension between American and colonial fishermen as a pretext for a show of naval strength off North America dur... |
math/92171_e26caa74eb27f4da_155.txt | Decentralized federated learning (DFL) captures FL settings where both (i) model updates and (ii) model aggregations are exclusively carried out by the clients without a central server. Existing DFL works have mostly focused on settings where clients conduct a fixed number of local updates between local model exchanges... |
math/729033_48155ebf7a3ccceb_1972.txt | targeting the circumstellar environment of this outbursting stars. I saw a deer come to drink. Birds such as the northern waterthrush [url=https://www.glossiers.it/][b]glossier lip balm[/b][/url], explored more in depth. Cut the yams lengthwise into 4 wedges per yam (more if they are really thick yams). Put them in a l... |
math/363652_fbb249f58a1ea9af_44.txt | Rocks often contain assemblages of ferromagnetic minerals dispersed within a matrix of diamagnetic and paramagnetic minerals. In later chapters we will be concerned with the magnetization of these assemblages, but here we continue our in some crystals electronic spins work in concert to create a spontaneous magnetizati... |
math/4922055_b38ad4db239966be_84.txt | !**ANSWER:** The real source of magnetism is electric currents. As you doubtless know, you can make a bar magnet by wrapping an electric current carrying wire around a cylinder. So, what is a bar magnet which (ostensibly) does not have currents? As you say, the atoms are themselves magnets. How can they be? The electro... |
math/1125087_59c45b8c77a80942_98.txt | “We have some 20+ years of debate over what ‘the digital’ may mean, and more recently, whether or not any distinction between the digital and the analogue even makes any sense or difference. My own take is that we have been sold – literally – on ‘the digital’ as the universal panacea for all of humankind’s ills, all to... |
math/e6c4d985_2641.txt | zhiyi li · Yunbei Xu · Ruohan Zhan The Robust Satisficing (RS) model is an emerging approach to robust optimization, offering streamlined procedures and robust generalization across various applications. However, the statistical theory of RS remains unexplored in the literature. This paper fills in the gap by comprehen... |
math/3742825_a5801def072ec91c_1746.txt | As we noted at the beginning of this section, Newcome does not explicitly commit herself to the Lockean Axiom that there is no idea in the mind that cannot be traced back to some particular experience. Nonetheless, it *is* true to say that Newcome arrives at her conception of how humans *ought* to act on the basis of c... |
math/729033_088416c6542a36aa_7099.txt | family and the legacy he hopes to leave behind.. [url=https://www.diptyqueuk.com/][b]diptyque fragrances[/b][/url], and the ESA PLAnetary Transits and Oscillations of stars (PLATO) and ARIEL telescopes. These observatories will rely on advanced optics and instruments to aid in the search and characterization of exoplan... |
math/3742825_7ea48f6a3337f94e_82.txt | Every finite graph has an associated sandpile group, which can be described in terms of chip-firing. A sandpile torsor algorithm is a map which associates each plane graph (i.e. planar embedding) with a free transitive action of its sandpile group on its spanning trees. We define a notion of consistency, which requires... |
math/2825922_fdb7b48aaf6e43d3_3636.txt | which possess a lower refractive index than the surrounding cellular contents. They were resolved with the electron microscope into ly packed bundles of gas cylinders (70.0 nm wide) with a granules lying in ordered rows between the individual gas cylinders. But Spirit solar arrays are severely dust covered adidas samba... |
math/107483_db9c0f2f4b6f960d_1383.txt | In the conventional approach of renormalization, divergent loop integrals are regulated and combined with counterterms to satisfy a set of renormalization conditions. While successful, the process of regularization is tedious and must be applied judiciously to obtain gauge-invariant results. In this Letter, I show that... |
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math/2486718_94c08a9872027b6b_452.txt | made an empirical test of the matter, he found that in 2084 games Paul would have paid Peter 10,057 crowns. This indicates that for any one game, Paul’s expectation, instead of being infinite, is actually something less than 5 crowns! The paradox raised in the Petersburg problem was widely discussed during the eighteen... |
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