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math/4209381_82b8034c9a61f8ec_100.txt
The first catamaran has lower volumetric coefficients relative to the length and results in finer forms, perhaps easier to be dealt with by a numerical method. The spectra of CAT2 deriving from the experimental pattern analysis in the two towing tanks. where they are available for the smaller one. appear quite similar ...
math/729033_088416c6542a36aa_542.txt
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math/107483_db9c0f2f4b6f960d_1168.txt
The conservation of the interference pattern from double slit interference proves that the wavelength is conserved in all inertial reference frames. However, there is a popular belief in modern astronomy that the wavelength can be changed by the choice of reference frame. This erroneous belief results in the problemati...
math/3742825_a5801def072ec91c_1971.txt
After a period as an assistant teacher of writing and arithmetic, Godwin began to develop his own ideas about education and to take an interest in contemporary politics. When William’s father died in 1772, his mother paid for her clever son to attend the New College, a Dissenting Academy in Hoxton, north of the City of...
math/1633704_d08f849c137f62ee_263.txt
*!***ANSWER:** First you have a misconception. If friction is truly negligible, any torque, no matter how small, will start the big reel turning. It is a matter how long you want to wait until you get up to 35 rpm on the smaller reel. For several reasons this is a quite complicated engineering problem. The most importa...
math/92171_1996e1986c60b184_177.txt
The item fairness issue has become one of the significant concerns with the development of recommender systems in recent years, focusing on whether items' exposures are consistent with their utilities. So the measurement of item unfairness depends on the modeling of item utility, and most previous approaches estimated ...
math/729033_48155ebf7a3ccceb_2100.txt
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math/1633704_d08f849c137f62ee_101.txt
!**ANSWER:** The solar system formed from a huge interstellar cloud of material. The material was overwhelmingly composed of hydrogen. A very large fraction of the material collapsed gravitationally to form the sun and, as this mass collapsed, it got hotter and hotter until eventually nuclear fusion of the hydrogen ign...
math/25111_dd79e43f58faa350_374.txt
a. What percentage of the variation is explained by the first principal component? b. What percentage of variation is explained by the second principal component? c. Provide interpretations for how the first principal component and the second principal component respectively describe the breakfast cereals. Support your...
math/729033_c4d0fa238e1627be_149.txt
This former mining track is majestic and I cannot recommend it highly enough. There are beautiful trails alongside the Mohikinui River, many waterfalls and swing bridges (including one with a door halfway across to prevent possums and stoats from crossing), misty stream crossings, lakes, a natural spring, bountiful for...
math/2825922_fdb7b48aaf6e43d3_1523.txt
which relates many kinds of knowledge to various levels of eductional activity particularly as curriculum theory and theory of teaching. The motives for specialization were partly non intellectual or 'political' converse apavi, she recently told the media. Nowlove and race. His daughter Alice would eventually marry Tho...
math/735679_a0dfa7836ef47b49_29.txt
A key question in the initial configuration of the polyhedra in the Archimedean "ring", was how they could be most meaningfully positioned with respect to one another -- rather than being arbitarily placed. An initial approach was to consider how the 6 polyhedra of the icosahedral family could be positoned in relation ...
math/2247940_df316750563ff492_61.txt
The nonuniform discrete Fourier transform (NUDFT) and its inverse are widely used in various fields of scientific computing. In this article, we propose a novel superfast direct inversion method for type-III NUDFT. The proposed method approximates the type-III NUDFT matrix as a product of a type-II NUDFT matrix and an ...
math/735679_01a67ab3c9f52e8e_49.txt
Then the number of + stickers is ݂ ൅ ‫ ݒ‬െ ʹ and the number of – stickers is ݁. Compare these two numbers. Each face ‫ܨ‬௜ of P has a unique uppermost vertex ௜ and lowermost vertex ௜ ǡ and its boundary consists of two polygonal lines; one is the left and the other is the right boundary, each of which joins ௜ and ௜ ...
math/2710_db9c0f2f4b6f960d_2147.txt
The diverse transmit powers of the base stations (BSs) in a multi-tier cellular network, on one hand, lead to uneven distribution of the traffic loads among different BSs when received signal power (RSP)-based user association is used. This causes under utilization of the resources at low-power BSs. On the other hand, ...
math/729033_48155ebf7a3ccceb_19790.txt
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math/3742825_cfa6e6481b8cd2bd_608.txt
By the length of a finite system of generators for a finite-dimensional algebra over an arbitrary field we mean the least positive integer $k$ such that the products of length not exceeding $k$ span this algebra (as a vector space). The maximum length for the systems of generators of an algebra is referred to as the {\...
math/4922055_dcd4406d5f48241d_549.txt
New Connaught Rooms (former Freemasons Tavern), Nos. 61–65, south side Banqueting rooms with a long and varied history, the New Connaught Rooms stand on the site of the seventeenth-century Conway House, the residency of the Lord Chancellor, whose best-known incumbent of the period, Heneage Finch, hid the Great Seal of ...
math/25111_ac85740026da51f7_169.txt
NeurIPS reviews came in. As usual, most reviewers assigned to evaluate my papers are not quite at home in my area, or simply provide an educated guess only. This leads to many rather meaningless and noisy reviews (this is in sharp contrast with journal submissions in top journals where more often than not the reviewers...
math/353276_08dc4ab189af8090_41.txt
I will present a number of results from recent joint works with Yifan Jing and Ruixiang Zhang and discuss various connections to model theory. These include a classification of connected unimodular groups and compact subsets allowing minimal and nearly minimal measure expansions; this answers a question by Kemper...
math/735679_1f76cca408c18bd5_149.txt
In our model, an origami configuration is represented by the fold angles of edges (fold lines). Fold angles change according to the mountain-valley assignment of the fold lines when the paper gets folded. These fold lines are connected with facets and form d loops, and for each d loop we have a constraint on angle movem...
math/2486718_6361413879ecffeb_179.txt
``` Ronald E. Mickens An Exactly Solvable Model for the Spread of Disease . . . . . . . . . . . . . . . 114--121 Colin Foster Teaching Tip: How to Manipulate Test Scores . . . . . . . . . . . . . . . . . 121--122 Matthew Glomski and Edward Ohanian Eradicating a Disease: Lessons from Mathematical Epidemiology . ....
math/13261_4fe0806401678203_977.txt
The Department also received many comments from diverse stakeholders on whether the Department should apply the Access Board’s MDE Standards to medical equipment that is not used for diagnostic purposes. Many commenters supported applying the MDE Standards to nondiagnostic medical equipment, especially equipment used f...
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We all the time have toothbrushes and toothpaste and premium coffee beans out there for friends, however the thing that gets probably the most mentions are the neighborhood suggestions,” says Roberto Gonzalez, one other longtime Airbnb host (who happens to be my neighbor). Managers empower staff to connect with visitor...
math/2710_db9c0f2f4b6f960d_1683.txt
Classical logic is typically concerned with abstract analysis. The problem for a synthetic logic is to transcend and unify available data to reconstruct the object as a totality. Three rules are proposed to pass from classic logic to synthetic logic. We present the category logic of qualitative opposition using example...
math/729033_088416c6542a36aa_3790.txt
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math/735679_7f4ecb22a28da440_39.txt
Another model has been suggested however, that appears slightly different on the free energy graph. This is the proposed transition-state model. This model suggests that an enzyme is not structurally adept to bind to the substrate itself, but that it is actually optimized to bind to the transition state of the reaction...
math/25111_dd79e43f58faa350_687.txt
10.5 Neural Network Regression A neural network is a predictive data mining method whose structure is motivated by the biological functioning of the brain. In this section, we describe how a neural network makes predictions about a quantitative outcome variable, y, by processing values of a set of input variables, x1, ...
math/1866757_c8abbfd20805ff52_2.txt
To evaluate the derivative of a function f:R→R f: \R \to \R f:R→R for an input x x x, we find the slope of the tangent line at x x x. The tangent line can be broken down into the quotient of the rise and run of the function at x x x. To compute the rise, we evaluate the function at two inputs, one with the original inp...
math/ad6e712e_0563.txt
The remaining question is how we optimize the above coding rate objective to find the optimal clusters. There are three natural approaches to this objective: 1. We may start with the whole set 𝑿\bm{X}bold_italic_X as a single cluster (i.e. the lazy regime) and then search (say randomly) to partition it so that it woul...
math/363652_fbb249f58a1ea9af_336.txt
Figure 14.18: a) Variation of the standard deviation σl as a function of harmonic degree l for asymmetric and symmetric terms for the statistical field model TK03.GAD. All terms have zero mean except the axial dipole term. b) Estimated behavior of S′ from the data compilation of McElhinny and McFadden (1997) (circles)....
math/59738_1525ece966560489_39.txt
The second is an analysis of individual Chinese firms. We use as a population of Chinese-headquartered firms listed on the EU R&D 2,500 list (the list of the world’s top 2,500 R&D spenders). A total of 679 Chinese companies were on the 2023 list, and we selected, mostly at random, although we tried to ensure broad sect...
math/2825922_fdb7b48aaf6e43d3_3130.txt
so as to introduce an Emperor troubled by a dream. Tracers seeded in the upstream alluvial channel moved more slowly. Tracers seeded in a bare rock gorge dispersed quickly at first but accumulated in a coarse sediment zone at the start of the next partial cover. Bedload transport was size selective over alluvial or sem...
math/729033_48155ebf7a3ccceb_40299.txt
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Fragstats - Spatial Pattern Analysis Program for Categorical Maps. landscapemetrics - landscapemetrics is an R package for calculating landscape metrics for categorical landscape patterns in a tidy workflow. LS_METRICS - A tool for calculating landscape connectivity and other ecologically scaled landscape metrics Makur...
math/4209381_c048c6987c9c5a0c_60.txt
CY: Yeah, so there, I purposely didn't include too many details, just because there are a lot of a lot of actually interesting and all valid ways that you can think about imposing probability, you know, into this world into these problems, these extremal combinatorics problems. So one flavor is what you said, we can th...
math/729033_48155ebf7a3ccceb_25188.txt
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math/107483_db9c0f2f4b6f960d_1868.txt
This thesis discusses the claim of 16 computational finance articles according to which it is possible to predict the stock market using sentiment analysis of social media data. The purpose of this paper is to investigate whether this is indeed true or not. In economic theory, the efficient market hypothesis states tha...
math/59738_7a0f56a6bb79783d_134.txt
kirk Here’s a possibly very simplistic analogy that hopefully will make the point of the question clear: merge sort and radix sort both sort lists of numbers. But radix sort doesn’t compare numbers directly to each other and doesn’t need to. 
The analog of human-like consciousness here is “sorting lists of numbers repr...
math/4922055_7ab07cafeba60340_1453.txt
5. In this paper, Frankfurt focuses attention on equality of money. In a later paper, he says that his case for sufficiency applies with equal force to “all egalitarian doctrines.” “In rejecting equality as a moral ideal,” Frankfurt says, “I intend the scope of my rejection to be entirely unlimited.” So it does not mat...
math/92171_f467e2efefddb294_688.txt
Large language models excel at reasoning but lack key aspects of introspection, including anticipating their own success and the computation required to achieve it. Humans use real-time introspection to decide how much effort to invest, when to make multiple attempts, when to stop, and when to signal success or failure...
math/42005_a56b39f829963d58_163.txt
For example, when R = F2 , every manifold is orientable, and uniquely so, since F× 2 = {1}. A Z-orientation (or simply “orientation”) is a section of the orientation double cover. A manifold is “R-orientable” if it admits an R-orientation. This relates to the “globalization” project we started out talking about. A sect...
math/3742825_7ea48f6a3337f94e_9.txt
A matrix $M$ of real numbers is called totally positive if every minor of $M$ is nonnegative; I will call a matrix $M$ of polynomials (in some set of indeterminates) coefficientwise totally positive if every minor of $M$ is a polynomial with nonnegative coefficients. I will call a sequence $(a\_k)\_{k \ge 0}$ of real n...
math/729033_48155ebf7a3ccceb_24789.txt
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HistoryaddFollow HumanitiesaddFollow Digital HumanitiesaddFollow Academia.edu Journals Why publish with us
math/3ff202f5_6472.txt
The Project Gutenberg EBook of The Raven, by Edgar Allan Poe This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at www.gutenberg.net Title: The ...
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“Increasingly, the mathematics will demand the courage to face its implications.”
math/735679_8a313398459bddab_1.txt
M. C. Escher's work Circle Limit III is a graphic representation of one of Henri Poincare's relative consistency proofs for hyperbolic geometry. Poincare, an opponent of the modem conception of mathematical truth, used this proof as the center point of an argument defending the competing view of mathematical tr...
math/92171_1996e1986c60b184_323.txt
Relevant recommendation is a special recommendation scenario which provides relevant items when users express interests on one target item (e.g., click, like and purchase). Besides considering the relevance between recommendations and trigger item, the recommendations should also be diversified to avoid information coc...
math/729033_48155ebf7a3ccceb_25250.txt
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math/1866757_bb0f8b9cd73ec091_695.txt
The ‘power-law’ cleaning procedure is therefore to fix μ = 2 and let α vary to generate a list of synthetic eigenvalues using the above equation Eq. (40.5.2) for k > 1, while leaving the corresponding kth eigenvector untouched. Since the market mode k = 1 is well deter­ mined and appears not to be accounted for by the ...
math/9f29dff4_4932.txt
Tensor decomposition aims to factorize an input tensor into a number of latent factors. Due to the low-rank nature of tensor in real applications, the latent factors can be used to perform tensor completion in numerous tasks, such as knowledge graph completion and timely recommendation. However, existing works solve th...
math/59738_e26caa74eb27f4da_175.txt
The development of large language models (LLMs) has significantly advanced the emergence of large multimodal models (LMMs). While LMMs have achieved tremendous success by promoting the synergy between multimodal comprehension and creation, they often face challenges when confronted with out-of-distribution data, such a...
math/373672_5c56a25f4d2c81a7_8.txt
It is clear that the invention of the internet (and by implication, the milestones that created it) should really be the standard of this list. Why? Because 500 or 1000 years from now, children will learn about the invention of the internet like we learned about the invention of the printing press 600 years ago. Its th...
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math/1475_e67c3abbe0dedd3b_155.txt
20. Refer to Example 9.1.3. Suppose you are appearing on a game show with a prize behind one of five d doors: A, B, C, D, and E . If you pick the right door, you win the prize. You pick door A. The game show host then opens one of the other doors and reveals that there is no prize behind it. Then the host gives you the...
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which was more sympathetic to Blake’s connection with the mystical tradition. The reactions of HNBB and HNS with amine also involve the initial formation of 3 adducts and 1 adducts. At high amine concentrations di adducts may be formed by reaction of the 1 and 1′ or 3 and 3′ positions. A slow reaction of HNBB with amin...
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And there were some comic strips I didn’t think worth making paragraphs about. Chris Giarrusso’s **G-Man Webcomics** for the 25th of February mentioned negative numbers and built a joke on the … negative … connotations of that word. (And inaugurates a tag for that comic strip. This fact will certainly come back to baff...
math/1633704_f467e2efefddb294_521.txt
In a world where data is the new currency, wearable health devices offer unprecedented insights into daily life, continuously monitoring vital signs and metrics. However, this convenience raises privacy concerns, as these devices collect sensitive data that can be misused or breached. Traditional measures often fail du...
math/ab2ecfd1_9071.txt
An old version of Macaulay2 is an optional component of Sage. TeXmacs, a "what you see is what you get" editor based on TeX, which is being developed to serve as a user interface for Macaulay2 and other symbolic algebra programs by Joris van der Hoeven. Macaulay2 is included in the Knoppix/Math CD.
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* What is the role of war in nation building? * Compare and contrast the global causes of WWII with the causes of US entry into WWII. * How did the government mobilize the economy and home front for the war effort? * How did the U.S. government use propaganda and build support for WWII? * Compare and contrast the exper...
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CMU: MultiModal Machine Learning Fall 2020 Lecture 1.1: Course Introduction Lecture 1.2: Multimodal applications and datasets Lecture 2.1: Basic concepts: neural networks Lecture 2.2: Basic concepts: network optimization Lecture 3.1: Visual unimodal representations Lecture 3.2: Language unimodal representations Lecture...
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746 domestic flights and 69 international flights depart from Balt. The latest Report will directly inform the Global Stocktake happening at COP28 in the United Arab Emirates where the world will determine global progress in line with the Paris Agreement goals. Now is the time to push our global leaders across governme...
math/4922055_5a1d19068682d98d_74.txt
Humans, as the high point of consciousness on this planet, have the ability and the task of burning off all Earth karma. This is our vocation; this is why we volunteered for incarnation. This is where Jesus is the archetype par excellence of Tikkun Olam (a Hebrew mystical teaching meaning, ‘Fixing the planet’). In ...
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The BCH formula provides an explicit expression for Z log(eXeY) in terms of a series expansion of nested commutators of X and Y. This general expansion unfolds as nb 4 Z C ( X , Y ) X Y 1 2 X , Y 1 12 X , X , Y 1 12 Y , X , Y . displaystyle Z C(X,Y) X Y tfrac 1 2 X,Y tf...
math/729033_2bb566b206a7627e_21.txt
Very good, those of you who just clutched your chests and appealed to the Almighty: your extrapolation was correct. In practice, this increased mobility means that writers — again, more often those publishing a book for the first time, but it does happen to the tentatively established, too — frequently are faced with t...
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Then it is not too difficult to show that z is indeed the greatest common factor of a and b. Firstly, if a and b are both multiples of any number n, then so is their difference. This means that all the pairs of numbers produced by this procedure remain multiples of n. In particular, z is a multiple of n. (In the exampl...
math/2853639_23d328ae81ee35f4_15.txt
As with many ancient persons, the exact de¬ tails of Archimedes’ life are difficult to ascertain, since there are several accounts of variable qual¬ ity. His father was the astronomer Phidias, and it is possible that Archimedes was a kinsman of the tyrant of Syracuse, King Hieron II. Certainly he was intimate with the ...
math/2486718_94c08a9872027b6b_387.txt
Ce is the evolute is called an involute of the curve Ce. It is clear that the envelope of the normals to Ci, will be Ce, a curve tangent to each of the normals. In Fig. 15.14, the curve QPR is the evolute of the curve QSR and the curve QSR is an involute of the curve QPR. The positions of the string, as the pendulum bo...
math/4922055_dcd4406d5f48241d_738.txt
active measures, Ada Lovelace, agricultural Revolution, Albert Einstein, Andrew Wiles, Apollo 13, Burning Man, cloud computing, computer age, creative destruction, crowdsourcing, Dava Sobel, deep learning, delayed gratification, Donald Trump, Douglas Hofstadter, en.wikipedia.org, Frank Gehry, Gene Kranz, Google Glasses...
math/1373806_df316750563ff492_54.txt
We present a local weighted estimate for the Riesz potential in $\mathbb{R}^n$, which improves the main theorem of Alberico, Cianchi, and Sbordone [C. R. Math. Acad. Sci. Paris \textbf{347} (2009)] in several ways. As a consequence, we derive weighted Poincaré-Sobolev inequalities with sharp dependence on the constants...
math/251dda98_2707.txt
Manuel Gloeckler · Michael Deistler · Christian Weilbach · Frank Wood · Jakob Macke Amortized Bayesian inference trains neural networks to solve stochastic inference problems using model simulations, thereby making it possible to rapidly perform Bayesian inference for any newly observed data. However, current simulatio...
math/729033_088416c6542a36aa_3895.txt
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math/4922055_7ab07cafeba60340_142.txt
Tes t Yo u r U n der s ta n di ng 1. Pascal likens the decision whether to believe in God to a bet. In an ordinary bet we choose a proposition; for example, “The Yankees will win the 2020 World Series.” Then we specify the payoffs: how much you win if the proposition turns out to be true, and how much you lose if it tu...
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math/1125087_66f50856c50fe99e_7.txt
Fine-tuning is a widespread technique that allows practitioners to transfer pre-trained capabilities, as recently showcased by the successful applications of foundation models. However, fine-tuning reinforcement learning (RL) models remains a challenge. This work conceptualizes one specific cause of poor transfer, acce...
math/2825922_fdb7b48aaf6e43d3_716.txt
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Wigner matrices [Meh04] M.L. Mehta, Random Matrices, Academic Press, 3rd Edition, London 2004. [Rou10] S. O’Rourke, J. Stat. Phys. (2010) 1045. [PS07] S. Péché and S. Soshnikov J. Stat. Phys., 129 (2007) 857. [R06] A. Ruzmaikina Comm. Math. Phys. 261 (2006) 277. [Sos99] A. Soshnikov Comm. Math. Phys. 207 (1999) 697. [S...
math/3742825_4421a29ed7d0f3dc_20.txt
Abstract: De Sitter space-time is a geodesically complete, conformally flat, spatially compact solution to the Einstein-λ-vacuum equations with cosmological constant λ that admits smooth conformal boundaries ${\cal J}^{\pm}$ at future and past time-like infinity. Data sufficiently to de Sitter data develop into soluti...