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math/3742825_c95291664aab06ed_88.txt | ``` Rajappa K. Asthagiri Weak continuity of a composition map between spaces of compact operators and Banach valued continuous functions . . . 145--146 Miros\law Baran A Karamata method. I. Elementary properties and applications . . . . . . 147--157 M. A. Beattie and S.-X. Liu and P. N. Stewart Comparing graded ... |
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math/4922055_be81ab40b62b170c_1407.txt | The move – backed by the Swiss Peoples Party (SVP) but opposed by the government – was ultimately accepted in the end by the Swiss government and implemented into law. In 2010, voters also approved a referendum initiative to deport all foreigners who had committed a serious crime. IT ALL HAPPENED IN SWITZERLAND » Alber... |
math/2710_db9c0f2f4b6f960d_1517.txt | Clauser-Horne (CH) inequality, Eberhard inequality, and Clauser-Horne-Shimony-Holt (CHSH) inequality are used to determine whether quantum entanglement can contradict local realism. However, the "finite statistics" loophole is known to allow local realism to violate these inequalities if a sample size is small and not ... |
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math/107483_db9c0f2f4b6f960d_124.txt | In this paper, we show how the phenomenon of inertia can be explained in non-relativistic classical mechanics using a unified theory of gravity and inertia. As a basis, we used the inertia-free mechanics of H.J. Treder. It can implement both Mach’s principle and the idea of inertia having a gravitational origin without... |
math/729033_48155ebf7a3ccceb_14630.txt | and even a trip up the Alcan Highway to Alaska. Loved spoiling their grandchildren with short trips and numerous excursions. Phishing is a way to trick computer and Internet users into revealing personal and financial information through a fraudulent email or website. The content of a phishing e mail usually looks like... |
math/729033_b0d9a2c703da210c_307.txt | “Lighten up, just enjoy life, smile more, laugh more, and don’t get so worked up about things.”– Kenneth Branagh More than 70 countries around the world celebrate World Laughter Day on the first Sunday of May to raise awareness about laughter and its many healing benefits. Laughter is good for your health. In fact, it ... |
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math/42005_ac3eca3ff56f6f3e_94.txt | 4. Formal foundation of PL-topology During the later twenties and the early thirties a group of authors was concerned with the problem of giving a solid foundation to the new branch of topology which was called "combinatorial". Among them were J.W. Alexander, E. Bilz, L.E.J. Brouwer, M. Dehn, 5. Lefschetz, M.H.A. Newma... |
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math/4c40c69d_10015.txt | The functions given below are PostGIS functions that were added or enhanced. Functions new in PostGIS 1.3 ST_AsGML - Availability: 1.3.2 Return the geometry as a GML version 2 or 3 element. ST_AsGeoJSON - Availability: 1.3.4 Return a geometry or feature in GeoJSON format. ST_CurveToLine - Availability: 1.3.0 Converts a... |
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math/1866757_bb0f8b9cd73ec091_500.txt | where V(M) is a polynomial potential, makes it possible to implement the (2, 2m − 1) min imal models coupled to gravity by tuning the parameters of the potential. These are the famous Kazakov multicritical points. In order to recover string theory properly speaking, one has to take a double-scaling limit. The correlat... |
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math/4922055_be81ab40b62b170c_81.txt | The answer is that the ‘light barrier’ is of a totally different character and cannot be smashed through, even in principle. The reason for this is that light speed plays a much deeper role in the Universe than just being the speed at which light travels. A true understanding of the role of this speed, 299,792,458 metr... |
math/729033_b0d9a2c703da210c_1.txt | Students of Grade VC conducted the morning assembly on the theme - “Tourism and Peace”. The assembly began with the Lord’s Prayer followed by the Shloka and the school’s vision and mission. The assembly continued with the thought and word of the week. The news headlines, both National and International were read, follo... |
math/4922055_b38ad4db239966be_344.txt | !**ANSWER:** Provided that the plane is traveling in a straight line the apparent weight is unchanged. This is the physics answer because there is no acceleration and so all the forces must add to zero and the force which the pilot's seat exerts on him must therefore be equal to his weight and this force is that by whi... |
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math/735679_4dc861c7d648879b_332.txt | The contributors to this book and the publishers of the original materials deserve the primary credit for it; thank you for cooperating in the reprinting in this form. Once again I benefited from excellent advice at key decision moments from Vickie Kearn of Princeton University Press and from her colleagues, some of wh... |
math/4922055_e42a10955bd4d882_277.txt | > Tour became a born-again Christian in his first year at Syracuse[35] and identifies as a Messianic Jew.[57] Tour signed the Scientific Dissent from Darwinism,[1] a statement issued by the Discovery Institute disputing the scientific consensus on evolution, but, in spite of the Discovery Institute’s promotion of the p... |
math/353276_70b3c4c9112164f5_178.txt | Temporally causal representation learning aims to identify the latent causal process from time series observations, but most methods require the assumption that the latent causal processes do not have instantaneous relations. Although some recent methods achieve identifiability in the instantaneous causality case, they... |
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math/92171_e26caa74eb27f4da_97.txt | A promising approach for improving reasoning in large language models is to use process reward models (PRMs). PRMs provide feedback at each step of a multi-step reasoning trace, improving credit assignment over outcome reward models (ORMs) that only provide feedback at the final step. However, collecting dense, per-ste... |
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math/2825922_4585775c634d3010_129.txt | For both the first and second constructions, you need to know that a triangle with all vertices on the circumference o f a circle and one side a diameter o f the circle is a right triangle. See Figure 13.3. That the angle not on the diameter is a right angle follows from a more general result, which we will prove in Pr... |
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math/2486718_282363989c83d77c_334.txt | We study a family of equivalence relations in *S n* , the group of permutations on *n* letters, created in a manner similar to that of the Knuth relation and the forgotten relation. For our purposes, two permutations are in the same equivalence class if one can be reached from the other through a series of pattern-repl... |
math/2710_db9c0f2f4b6f960d_2373.txt | In the hyperverse model, particles of matter are collapsed and coalesced quanta of space, created by a condensation process to conserve angular momentum and centripetal force. We have proposed that the component quanta have spin, and hypothesize here that upon particle formation, the collapsed and coalesced component q... |
math/59738_e26caa74eb27f4da_246.txt | Smartphone agents are increasingly important for helping users control devices efficiently, with (Multimodal) Large Language Model (MLLM)-based approaches emerging as key contenders. Fairly comparing these agents is essential but challenging, requiring a varied task scope, the integration of agents with different imple... |
math/735679_7f4ecb22a28da440_71.txt | ``` 1. Enzymatic proteins a. Specifically speed up reactions that are endogenic. b. This is the largest group of proteins. c. Enzymatic proteins are responsible for metabolic related reactions in cells. d. Examples: 1) Digestive enzymes catalyze the hydrolysis of foods. 2) DNA- and RNA-polymerases 3) Dehydrogenases 2... |
math/81c89bb3_0186.txt | Probably the single most prominent research topic in mathematical physics in the 1800s was the three-body problem—of solving for the motion under gravity of three bodies, such as the Earth, Moon and Sun. And in 1890 the French mathematician Henri Poincaré (1854–1912) (whose breakout work had been on the three-body prob... |
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math/008e085d_148781.txt | This generatrix m 0 displaystyle m _ 0 is the only generatrix of the cone that is parallel to plane π displaystyle pi . Otherwise, if there are two generatrices parallel to the intersecting plane, the intersection curve will be a hyperbola (or degenerate hyperbola , if the two generatrices are in the intersect... |
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math/92171_f467e2efefddb294_516.txt | Uncertainty quantification (UQ) methods for Large Language Models (LLMs) encompass a variety of approaches, with two major types being particularly prominent: information-based, which focus on model confidence expressed as token probabilities, and consistency-based, which assess the semantic relationship between multip... |
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math/e2f8b825_4710.txt | This research proposes using large language models (LLMs) to enhance the interpretability of embeddings, allowing for direct interaction and transformation of abstract vectors into comprehensible narratives, thus expanding their applicability to various tasks. Abstract: Embeddings have become a pivotal means to represe... |
math/353276_08a4ec7032c800ea_30.txt | The rapid deployment of autonomous AI agents creates urgent challenges in the areas of authorization, accountability, and access control in task delegation. This position paper argues that authenticated and auditable delegation of authority to AI agents is a critical component of mitigating practical risks and unlockin... |
math/1475_cf8b9e0971c96393_354.txt | Other geometric shapes are possible, leading to other sequences of figurate numbers. Figurate numbers were of special importance to the Pythagoreans of sixth century B.C.E. Believing that everything in the universe could be explained by the “harmony of number,” they imparted special importance, even personality, to the... |
math/2d584dfe_7811.txt | "Assume t is time." This is the problem - t is not the time. The curve has it's own rate of change of t, depending on the magnitude of the tangents. Like Jason said, the distance between the consequent points must be the same in order of t to be the same as the time. This is exactly what the non-weighted mode (which is... |
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math/208603_c8ae2796108746ac_20.txt | Other similar forms sometimes appear, but are less common. There is also a construction with subjunctive be, as in be he alive or dead (meaning "no matter whether he is alive or dead"). Use of inversion to express a third-person imperative is now mostly confined to the expression long live X, meaning "let X live long".... |
math/107483_db9c0f2f4b6f960d_2165.txt | The notion of induced second quantization is introduced as an unavoidable aspect of the induction procedure for metric and spinor connection, which is the key element of TGD. Induced second quantisation provides insights about the QFT limit, about generalizes Feynman diagrammatics, and about TGD counterpart of second q... |
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math/4922055_e42a10955bd4d882_183.txt | > After leaving the first Trump administration, Anton did not abandon Trump, but continued writing about US liberal democracy in bleak terms. > > In Up from Conservatism, a 2023 anthology of essays edited by the executive director of Claremont’s Center for the American Way of Life, Arthur Milikh, Anton wrote that “the ... |
math/8c4b09be_148583.txt | One description of a parabola involves a point (the focus) and a line (the directrix). The focus does not lie on the directrix. The parabola is the locus of points in that plane that are equidistant from the directrix and the focus. Another description of a parabola is as a conic section, created from the intersection ... |
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math/353276_5aa5448a9477b0bf_454.txt | *Minimal sufficient reasons* represent a prevalent form of explanation - the smallest subset of input features which, when held constant at their corresponding values, ensure that the prediction remains unchanged. Previous *post-hoc* methods attempt to obtain such explanations but face two main limitations: (1) Obtaini... |
math/353276_70b3c4c9112164f5_167.txt | Large language models (LLMs) have demonstrated the ability to generate text that realistically reflects a range of different subjective human perspectives. This paper studies how LLMs are seemingly able to reflect more liberal versus more conservative viewpoints among other political perspectives in American politics. ... |
math/353276_5aa5448a9477b0bf_628.txt | Generating realistic 3D human-human interactions from textual s remains a challenging task. Existing approaches, typically based on diffusion models, often produce results lacking realism and fidelity. In this work, we introduce \*InterMask\*, a novel framework for generating human interactions using collaborative mask... |
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math/2710_db9c0f2f4b6f960d_910.txt | It is shown through three different approaches that, contrary to a longstanding conviction older than 160 years, the orbit of Mercury behaves as required by Newton's equations with a very high precision if one correctly analyzes the situation in the framework of the two-body problem without neglecting the mass of Mercu... |
math/652f78f2_5929.txt | Learned image compression (LIC) has demonstrated superior rate-distortion (R-D) performance compared to traditional codecs, but is challenged by training inefficiency that could incur more than two weeks to train a state-of-the-art model from scratch. Existing LIC methods overlook the slow convergence caused by compact... |
math/7f2a9b93_0906.txt | Nihir Chadderwala Generative AI agents in life sciences face a critical challenge: determining the optimal approach for diverse queries ranging from simple factoid questions to complex mechanistic reasoning. Traditional methods rely on fixed rules or expensive labeled training data, neither of which adapts to changing ... |
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math/59738_3d4bcf313d2369cb_372.txt | I'd agree with almost everything said. Hard class, worth it, you will learn a lot, demanding. I didn't (don't?) have a strong background in Math nor in theoretical computer science. Right now I'm hoping I can get the B. The only thing I would disagree is that professor was not involved, he was to a good extent responsi... |
math/1475_cf8b9e0971c96393_424.txt | geodesic The shortest curve connecting two points on a surface, and lying wholly on that surface, is called a geodesic. For example, PYTHAGORAS’S THEOREM shows that a straight line gives the shortest path between two points on a plane, and thus straight lines are the geodesics of a plane. On a SPHERE, geodesics are sec... |
math/4922055_b38ad4db239966be_364.txt | Magnetism is a great wonder of mine. From what I know, magnetism works by the arrangement of the metal molecules which creates some sort of electrical field, Correct me if I'm wrong. My question is in regards to credit cards, hotel cards; any magnetized card really. How does each card possess a unique magetnic identity... |
math/2407659_82c5ef2e1dbfdd90_9.txt | is not diagonally dominant, but if we rearrange the rows in the following manner: ⎡ ⎤ 4 −2 1 ⎢ ⎥ 4 −1⎦ ⎣−2 1 −1 3 then we have diagonal dominance. It can be shown that if the coefficient matrix of the equations Ax = b is diagonally dominant, then the solution does not benefit from pivoting, that is, the equations are a... |
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