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math/13261_4fe0806401678203_782.txt | Several commenters also requested clarification about how the exception applies to preexisting conventional electronic documents that are created by a third party on behalf of a public entity or hosted on a third party’s web content or mobile apps on behalf of a public entity. As previously discussed, the Department ma... |
math/729033_48155ebf7a3ccceb_33565.txt | so the koalas need access to multiple species of eucalyptus in a specific growth sequence in order to survive without being poisoned. This makes it impossible for koalas to live anywhere but where the right varieties of eucalyptus trees can grow in the right order.. While all electric cars will be cheaper to maintain t... |
math/3742825_d4655b6808b69bdd_456.txt | Kernel k -means is one of the most popular approaches to clustering and its theoretical properties have been investigated for decades. However, the existing state-of-the-art risk bounds are of order O(k/n) , which do not match with the stated lower bound Ω(k/n) in terms of k , where k is the number of clusters and n is... |
math/59738_1525ece966560489_154.txt | The first vision is market capitalism, the traditional doctrine in the United States, at least since the 1980s and on the right and center right. In this view, proselytized by think tanks such as the Peterson Institute and the Cato Institute, free markets and unfettered globalization are the best way to drive growth, a... |
math/2486718_94c08a9872027b6b_659.txt | Category of topological spaces: the objects are topological spaces and the morphisms continuous mappings. Category of differentiable manifolds: the morphisms are differentiable mappings. Category of vector spaces: the morphisms are linear transformations. Now some examples of functors. The rule which associates with ea... |
math/729033_c4d0fa238e1627be_215.txt | I have been meaning to write in my ‘greatest run ever’ for quite some time, but I too could only think of various great moments within the runs, such as: the tear-filled moments of crossing the finish line of marathons in the Swiss Alps; or the time I d a section of country road with a badger in Surrey. Recently, I ran... |
math/c9cf35af_148744.txt | The focal length can be determined by a suitable parameter transformation (which does not change the geometric shape of the parabola). The focal length is f f 1 2 f 2 2 ( f 1 f 2 ) 2 4 f 2 3 . displaystyle f frac f_ 1 2 ,f_ 2 2 -( vec f _ 1 cdot vec f _ 2 ) 2 4 f_ 2 3 . Hence th... |
math/2853639_b9fcd86c2dbe2dbc_54.txt | Taking square roots, we deduce that π 2 · 4 · 6 · · · (2n − 2) √ 2n = lim 2 n→∞ 3 · 5 · 7 · · · (2n − 1) 22 42 62 · · · (2n − 2)2 (2n)2 √ = lim n→∞ (2n)! 2n 22n (n!)2 1 √ , = √ lim 2 n→∞ (2n)! n which shows that (1) implies (3). Since all steps are reversible, a similar argument shows that (3) implies (1). Taken in t... |
math/373672_f5b94e64242d6805_5.txt | All of these lines of evidence lead me to the same conclusion: constant growth rates in response to exponentially increasing inputs is the null hypothesis. If it wasn’t, we should be expecting 50% year-on-year GDP growth, easily-discovered-immortality, and the like. Nobody expected that before reading BJRW, so we shoul... |
math/2247940_a6a9c08d3029d935_41.txt | Every day there seems to be one or two more people offering solutions. I think that this is great! It has always been my philosophy that everyone should be encouraged to join in. If you are not sure if your answer is correct you should say so BUT I think that the person who asks the question needs to accept some respon... |
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math/1373806_df316750563ff492_158.txt | In arXiv:1811.11630, we introduced a notion of effective reducibility between set-theoretical $\Pi\_{2}$-statements; in arXiv:2411.19386, this was extended to statements of arbitrary (potentially even infinite) quantifier complexity. We also considered a corresponding notion of Weihrauch reducibility, which allows only... |
math/353276_70b3c4c9112164f5_43.txt | Engineering molecules to exhibit precise 3D intermolecular interactions with their environment forms the basis of chemical design. In ligand-based drug design, bioisosteric analogues of known bioactive hits are often identified by virtually screening chemical libraries with shape, electrostatic, and pharmacophore simil... |
math/208603_c8ae2796108746ac_24.txt | may be considered both imperative and exclamatory): "Go to work." or "Go to work!" Major and minor sentences A major sentence is a regular sentence; it has a subject and a predicate. For example: "I have a ball." In this sentence one can change the persons: "We have a ball." However, a minor sentence is an irregular ty... |
math/353276_08dc4ab189af8090_113.txt | I address several questions about controlling the growth of error introduced by reasoning. For example, if every step of reasoning introduces a new source of error, how can we possibly improve our reliability â as we think we do â by proof-ing, filling in gaps in proofs, or consulting an expert, all of which add st... |
math/729033_48155ebf7a3ccceb_26204.txt | some of their wants may be the same as their needs. They may want a car to be independent but they also may need a vehicle to get to work after school. The schools were approached last year to possibly play at SoFi Stadium along with Mater Dei and St. John Bosco. When the Mater Dei St. West Scranton transfer Laybourn B... |
math/107483_db9c0f2f4b6f960d_1102.txt | There are many ad hoc expressions for the mass ratio of the proton to the electron. the models presented here are different from others in that they rely strictly on volumes and areas. One geometry is based on ellipsoids constructed with values taken from one of the two number sets: {(4pi), (4pi-1/pi), (4pi-2/pi)} or {... |
math/3636009_287971b0e2e2e18d_168.txt | ``` Alla P. Toropova and Andrey A. Toropov and Valentin O. Kudyshkin and Danuta Leszczynska and Jerzy Leszczynski Optimal descriptors as a tool to predict the thermal decomposition of polymers 1171--1181 Leonor Alvarado-Soto and Luis Alvarez-Thon and Rodrigo Ramirez-Tagle Aspects of spin-orbit effects in compoun... |
math/735679_7f4ecb22a28da440_270.txt | Recrystallization is the process of purification that involves dissolution of a solid in a hot solvent, filtration of the heated solution or mixture, crystal formation, and the isolation of the crystalline compound. In order to perform a recrystallization, the solubility of a compound in a hot solvent must be taken adv... |
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math/3742825_cfa6e6481b8cd2bd_491.txt | The Dynamic Mode Decomposition (DMD) is a tool of trade in computational data driven analysis of complex dynamical systems, e.g. fluid flows, where it can be used to decompose the flow field into component fluid structures, called DMD modes, that describe the evolution of the flow. The DMD is deeply connected with the ... |
math/3030191_29085d0c667c4432_448.txt | Wow it's July, and 2021 is now half-over. This year is sure going faster than last year. Getting new alphabetical travel destinations may be taking a bit longer, however. I'm still working on getting a master list of submissions thus far completed; it's taking some time to do it, and I hope to have the list posted befo... |
math/3030191_178754fff311c8b6_4.txt | You are about to embark on an extraordinary journey toward better investing and decision-making. You may arrive at a better understanding of life as well, all thanks to the wit, wisdom, speeches, and writings of Charlie Munger—this generation’s answer to Benjamin Franklin. Charlie’s unique worldview, what he calls his ... |
math/0a74c81f_6690.txt | Improve your leverage by turning short-term relationships into long-term ones Pareto optimal solutions require a trade-off to improve any criterion Nivi: Do you want to talk about Pareto optimal? Naval: Pareto optimal is another concept from game theory, along with Pareto superior. Pareto superior means something is be... |
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math/2407659_ed120fe322999def_546.txt | EXAMPLE 11.4 ( Through-circulation drying of a wet solid ) A bed of solid, 4 cm thick, containing moist pellets of average size 4 mm is to be dried by through-circulation of hot air (temperature = 120°C; humidity = 0.01 kg/(kg dry air); superficial velocity = 1 m/s). The initial moisture is 28%, the critical moisture i... |
math/d18cdd13_4468.txt | Most transformer-based video encoders are limited to short temporal contexts due to their quadratic complexity. While various attempts have been made to extend this context, this has often come at the cost of both conceptual and computational complexity. We propose to instead re-purpose existing pre-trained video trans... |
math/e23fe71d_9401.txt | From Metric properties below, one obtains: The radius of curvature at the vertices V 1 , V 2 {\displaystyle V_{1},\,V_{2}} is: b 2 a {\displaystyle {\tfrac {b^{2}}{a}}} The radius of curvature at the co-vertices V 3 , V 4 {\displaystyle V_{3},\,V_{4}} is: a 2 b . {\displaystyle {\tfrac {a^{2}}{b}}\ .} The diagram shows... |
math/3742825_a5801def072ec91c_1040.txt | Second, our universe has so many periodic processes whose periods are constant multiples of each other over time. That is, their periods keep the same constant ratio to each other. For example, the frequency of rotation of the Earth around its axis relative to the “fixed” stars is a constant multiple of the frequency o... |
math/92171_e03d7f3280b89728_169.txt | * **Abstract**: In this study, we delve into an emerging optimization challenge involving a black-box objective function that can only be gauged via a ranking oraclea situation frequently encountered in real-world scenarios, especially when the function is evaluated by human judges. A prominent instance of such a situa... |
math/3742825_029af0a44731fcc2_234.txt | Scene Text Editing (STE) involves replacing text in a scene image with new target text while preserving both the original text style and background texture. Existing methods suffer from two major challenges: inconsistency and length-insensitivity. They often fail to maintain coherence between the edited local patch and... |
math/ae012935_1081.txt | Debt: The First 5,000 YearsDavid Graeber2011★★★★☆ Mixed feelings: many interesting little tidbits and quotes, but overall I get the feel of a vast thesis made up of confirmation bias and unreliable evidence like etymologies; some parts are flabbergastingly wrong, like his brief description of Apple Computer’s founding ... |
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math/59738_1525ece966560489_160.txt | Finally, one argument defenders of market capitalism make is that it helps keep individuals free from government, with many on the right worrying that any expansion of government leads to a kind of totalitarianism Hayek warned against.[319] But in 1944, when Hayek wrote *The Road to Serfdom*, the Soviets were allies, s... |
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math/92171_f21f706356b21da2_62.txt | Spiking neural networks (SNNs) represent a promising approach to developing artificial neural networks that are both energy-efficient and biologically plausible.However, applying SNNs to sequential tasks, such as text classification and time-series forecasting, has been hindered by the challenge of creating an effectiv... |
math/1125087_2ed2d1df17fe28a3_308.txt | You took this in the opposite direction that I intended: the analogy with strict finitism was meant as a reductio ad absurdam. While it’s “metaphysically extravagant” to theorize there are infinitely many prime numbers, it’s also completely reasonable. So why think it’s a mark against a theory that it depends on lots o... |
math/2407659_763f197eca99ea75_65.txt | Finally, for all correlations discussed, Te and are required either directly or indirectly. Although these constants are available for many fluids — and can be estimated for most others — there are occasions when one would prefer not to use critical properties. (For example, for some high-molecular-weight materials or ... |
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math/107483_db9c0f2f4b6f960d_1395.txt | Based on Wilmer Anderson's experiment in 1937, the light detector is put in motion relatively to the mirror. Two light pulses are emitted from the mirror toward the detector. The elapsed time between two emissions is recorded on the oscilloscope. This elapsed time is larger if the detector moves away from the mirror fa... |
math/217b37ca_6130.txt | In this section we review a few of the solution techniques encountered in a first course in differential equations. We will not review the basic theory except in possible references as reminders as to what we are doing. We first recall that an \(n\)-th order ordinary differential equation is an equation for an unknown ... |
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math/1475_cf8b9e0971c96393_859.txt | A polygon with n sides (an n-gon) also has n interior angles, each of which is less than 180° if the polygon is convex. (A concave polygon has at least one interior angle greater than 180°.) A DIAGONAL of a polygon is a straight line connecting any two nonadjacent vertices. Drawing all the diagonals from a given vertex... |
math/4922055_8ef21f8e25dbef4d_277.txt | The prospect of a new stage adaptation by playwright Frances Poet of Jane Austen’s first novel is an exciting one but ultimately this production falls a little short.Modern twists are introduced to appeal to a contemporary audience but it is the sheer strength of the original novel that wins out here. The central story... |
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math/e2892921_0878.txt | Thursday, December 16th, 14:00 Arthur Touati (CMLS, Ecole Polytechnique): Construction of high-frequency spacetimes Abstract: In this work, I will present recent work on high-frequency solutions to the Einstein vacuum equations. From a physical point of view, these solutions model high-frequency gravitational waves and... |
math/59738_0678c516274774e4_381.txt | The word “set” is vague. It describes a “thing” which can contain other “things”. But it doesn’t say what that thing is, or how that thing behaves. That’s where set theory comes in. Set theory isn’t something vague and detached from discussion of sets. It’s what \*defines\* what a set \*means\*. You can’t talk about se... |
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math/4a11954a_11162.txt | Authors: Daniel Thomas Hayes Comments: 4 Pages. A new method is developed of which is applied to a problem involving a 1D wave equation in disguise. Category: Functions and Analysis viXra:2406.0068 [pdf] submitted on 2024-06-13 01:44:03 |
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math/13261_759e0803df19a6d5_1.txt | ``` /* * Calculate intersections for planes * Will return "2" if the ray completely misses * - outNewRay and outCollisionNormalRay will be invalid * Will return "1" if the ray is bounces. * - outNewRay is the bounced array. * - outCollisionNormal ray is populated * - distance is populated * Will return ... |
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