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math/208603_c8ae2796108746ac_141.txt
e.g.,attorneys-general. A problem therefore arises with the possessive plurals of these compounds. Sources that rule on the matter appear to favour the following forms, in which there is both an sadded to form the plural, and a separate s added for the possessive: the attorneysgeneral's husbands; successive Ministers f...
math/729033_48155ebf7a3ccceb_9213.txt
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math/3742825_a5801def072ec91c_807.txt
Physicists do sometimes use the term *event* this way, but they also use it differently—in what we here call *sense 2—*when they say events are point-events or regions of point-events often with no reference to any other properties of those events, such as their having the property of being buttered toast at that time....
math/59738_3d4bcf313d2369cb_192.txt
Joves Joves Joves. His notes definitely got me through the semester. I appreciated that he didn't give you his notes on the lectures but instead gave you notes on the critical information. You had to watch the lectures to understand his notes but they were extremely condensed and included solutions to practice problems...
math/373672_8ee0fe2bed605a7b_264.txt
Training large transformers is slow, but recent innovations on GPU architecture give us an advantage. NVIDIA Ampere GPUs can execute a fine-grained 2:4 sparse matrix multiplication twice as fast as its dense equivalent. In the light of this property, we comprehensively investigate the feasibility of accelerating feed-f...
math/363652_f318c5fe6d47ed45_70.txt
However, because of the tremendous speed of light, that still makes for a wave*train*that’s like ten meter long, at least (30×10–9s times 3×108m/s is nine meter, but you should note that the decay time measures the time for the oscillation to die out *by a factor* 1/*e*, so the oscillation itself lasts longer than that...
math/729033_b1b1b6ea9ebba756_724.txt
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math/729033_3907eeff353c9d52_94.txt
Undoubtedly there were some good and inspirational teachers and my list would include the ones that are often mentioned here. Messrs. Waller, Mees, Anderson (both of them - Norman and the other one who taught English) and Lafferty come readily to mind. I would also like to put in a vote for Keith Davis who doesn't seem...
math/3742825_77f86a884891737a_522.txt
In conventional AdS/CFT partition functions of decoupled copies of the CFT factorize. In bulk computations of such quantities contributions from spacetime wormholes which link separate asymptotic boundaries threaten to spoil this property, leading to a “factorization puzzle.” Certain simple models like JT gravity a...
math/729033_b1b1b6ea9ebba756_984.txt
tribute segments and self congratulatory montages [url=https://www.pradait.it/][b]polo prada[/b][/url], the senior signal caller did just enough to lead Washington to a dramatic 22 20 win over Oregon State and a spot in the Pac 12 championship game. Penix completed 13 of 28 passes for 162 yards and two touchdownsuntil ...
math/4922055_7ab07cafeba60340_1496.txt
habitually made bad choices and whose will remains opposed to God’s. Heaven is “union with God”: an eternal state in which a person’s will is aligned with God’s will. 3. Ever since the Fall, human beings have been disposed to oppose God’s will. This is a defect in our wills. We can’t go to heaven unless this defect is ...
math/2710_db9c0f2f4b6f960d_719.txt
In this article, we recall the Fibonacci sequence, the golden ratio, their properties and applications, and some early generalizations of the golden ratio. The Fibonacci sequence is a 2-sequence because it is generated by the sum of two previous terms. As a natural extension of this, we introduce several typical p-sequ...
math/729033_48155ebf7a3ccceb_15249.txt
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math/107483_db9c0f2f4b6f960d_2697.txt
Feynman proposed searching for -α^(1/2)=-0.08542455 with the ± sign on the -α^(1/2) for the positive and negative charge, and may be related to π, ϕ, 2 and 5. We found α^(1/2)≈±log e/Φπ=±0.0854372 where Φ=1/ϕ=2cos(π/5). I/FQHE R\_xy=± Z\_0/2αν\_i α^(1/2)=±log e^(±ϕ/Kπ) where Φ-ϕ-e-π in Euler Identity and K~{3,37,61} fr...
math/4922055_be81ab40b62b170c_1245.txt
Albert Einstein, An Inconvenient Truth, Apple II, Apple Newton, Apple's 1984 Super Bowl advert, Beos Apple "Steve Jobs" next macos , Bill Atkinson, Bill Gates: Altair 8800, Bob Noyce, Byte Shop, Charles Lindbergh, computer age, corporate governance, Do you want to sell sugared water for the rest of your life?, El Camin...
math/b897ab06_3089.txt
My turn to laugh out loud...at the garbage in the sink thing! I thought my husband was the only one who did that, it is so bizarre and gross. He used to do it when we were dating (and the garbage can in his house was literally beneath the sink!) and I eventually weaned him off of it with my incredulous reactions (this ...
math/363652_fbb249f58a1ea9af_47.txt
Figure 4.1: a) A magnetite octahedron. [Photo of Lou Perloff in The Photo-Atlas of Minerals.] b) Internal crystal structure. Directions of the body diagonal ([111] direction) and orthogonal to the cubic faces ([001] direction) are shown as arrows. Big red dots are the oxygen anions. The blue dots are iron cations in oc...
math/1475_b2f56c16149e8d39_537.txt
We have stated that the elements R120 , R240 , Rl , Rt , Rr , and I, with the operation “followed by,” form a group. However, we have not demonstrated this fact, so we will do so now. As we have seen, the set is d with respect to the operation D. To show that the operation D is associative, think about the meaning of x...
math/729033_48155ebf7a3ccceb_727.txt
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math/1373806_4c39b2553c7c2a0e_38.txt
An independent research project to be proposed by the student and supervised by a Christianity and Culture faculty member. A full proposal including a course , working bibliography, marking scheme, and approval from your academic supervisor must be submitted for approval by the Program Coordinator and Director. More in...
math/3742825_77f86a884891737a_755.txt
In this talk I want to tell the story of an object that doesn't quite exist. In the 1950s Jacques Tits first suggested that there should be something called the 'field with one element' by looking at certain counting formulae in projective geometry over F\_q as a function of q. In the 1980s Smirnov suggested how viewin...
math/729033_48155ebf7a3ccceb_14535.txt
and constantly interact with fans as they visit various areas of the ballpark. Mascots also make appearances within the community outside of Dragons games.. But where is that favoured land? is in this great continent. Reader [url=https://www.havaianas-australia.com/][b]mens havaianas[/b][/url], these companies can help...
math/42005_a7b6c2f0f3355d39_145.txt
``` Julius L. Shaneson Hermitian $K$-theory in topology . . . . 1--40 Julius L. Shaneson Some problems in Hermitian $K$-theory 41--51 Max Karoubi Some problems and conjectures in algebraic $K$-theory . . . . . . . . . . 52--56 Hyman Bass Unitary algebraic $K$-theory . . . . . . 57--265 C. T. C. Wall Founda...
math/13261_4fe0806401678203_934.txt
Primarily, the Department has selected this approach because it appropriately focuses on the experience of individuals with disabilities who are trying to use public entities’ web content or mobile apps. By looking at the effect of any nonconformance to the technical standard, this approach will most successfully imple...
math/3742825_d4655b6808b69bdd_1959.txt
There has been a recent surge of interest in designing Graph Neural Networks (GNNs) for semi-supervised learning tasks. Unfortunately this work has assumed that the nodes labeled for use in training were selected uniformly at random (i.e. are an IID sample). However in many real world scenarios gathering labels for gra...
math/729033_48155ebf7a3ccceb_24958.txt
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math/735679_8faa9997ae6fbdd7_345.txt
The geometric knowledge gap also came to bear in astrophysics and chemistry with the long hunt for the shape of a carbon molecule composed of sixty carbon atomsknown as C60which ultimately earned its discoverers the 1996 Nobel Prize. Previously, chemists had been aware of two forms of carbongraphite (used in pencil lea...
math/729033_48155ebf7a3ccceb_5645.txt
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math/3742825_cfa6e6481b8cd2bd_627.txt
One important aspect of homotopy type theory is the construction of {\it models}: $(\infty,1)$-categories in which we can interpret the axioms of our type theory. Studying various models can help us discern which statements can and cannot be proven with our given axiomatization. \par Due to a result by Shulman, we alre...
math/59738_04d6c7dfec7c0d97_276.txt
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math/729033_48155ebf7a3ccceb_16555.txt
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math/2407659_ed120fe322999def_709.txt
(d) Separation of oil-water emulsion: Oil-water emulsions are used or generated in a number of industrial operations like metalworking and metal finishing. Oil-in-water emulsions (about 2% oil) are routinely used for cooling and lubrication of tools and dies during cutting, forming and grinding of metals. Cleaning of m...
math/107483_db9c0f2f4b6f960d_1462.txt
In this paper I apply the `constant Lagrangian' model for galactic dynamics to the complete SPARC database of 175 galaxies. For twenty five percent, 43 out of 175, of the galaxies of the series, a single fit model already remains nicely within the error margins. Fifteen galaxies are more complicated and clearly need a ...
math/3742825_a5801def072ec91c_124.txt
The theory of the creating subject was originally proposed by Kreisel (1967, secton 3) and subsequently refined by Troelstra (1969, section 16). In their expositions they employ a turnstile notation to represent the creating subject and omit the universal quantifiers. The modal notation used here is introduced by Troel...
math/729033_48155ebf7a3ccceb_3755.txt
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math/ea426be3_11110.txt
Authors: Armando Evangelista Jr Comments: 1 Page. This short paper will show that the so-called infinite or non-terminating decimals do not exist. Category: Functions and Analysis viXra:2504.0132 [pdf] submitted on 2025-04-20 08:57:35
math/729033_48155ebf7a3ccceb_13320.txt
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math/3030191_29085d0c667c4432_146.txt
**P is for Palermo** the capital of Sicily, Italy. My first memories are vague at best. I was on my first solo trips age 19. A Med cruise hitting the famous ancient cities of the area which drew me to Europe. It was to be a taster to decide where to return at a later date. Flying from Victoria BC meant a lot of planes ...
math/735679_7f4ecb22a28da440_323.txt
Holistically speaking, the formation of RNA's tertiary structure is contingent on four different criteria: (a) the RNA sequence, (b) metal ion identity, (c) metal ion concentration, and (d) the presence of RNA binding proteins. The preferred metal is Mg2+ because Mg2+ it is not only helps with stabilizing the tertiary ...
math/1109da83_10942.txt
This publication is based upon work supported by the Khalifa University of Science and Technology under Award No. RC1-2018-KUCARS.
math/729033_48155ebf7a3ccceb_22058.txt
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math/1475_cf8b9e0971c96393_526.txt
264 Indian mathematics The earliest written records of Indian culture are the religious texts the Vedas, dating between 1500 B.C.E. and 800 B.C.E. Although not mathematical in content, appendices to the texts give specific rules for constructing altars, exhibiting a thorough understanding of the basic principles of geo...
math/363652_d888039a8fc2d7ed_407.txt
**Social Studies Standards: WG.1.4** Use geographic representations to locate the world’s continents, major landforms, major bodies of water and major countries and to solve geographic problems **WG.2.2**  Identify and locate world climate regions and evaluate the impact of the Earth/Sun relationship, ocean currents, w...
math/d05a1f21_5733.txt
09:50 Can Full-Duplex More than Double the Capacity of Wireless Networks? Serj Haddad (EPFL, Switzerland); Ayfer Özgür (Stanford University, USA); Emre Telatar (EPFL, Switzerland) Usually, wireless radios are half-duplex, i.e. they can not transmit and receive at the same time over the same frequency band. However, bui...
math/3742825_f4fb2ea9339839a1_145.txt
The title of my talk was the topic of an Advanced Study Group for which I was convenor last year [1]. In my talk I will give a brief outline about our respective research activities. It should be understandable to a rather general audience. A question that attracted a lot of attention in the past two decades is whether...
math/729033_48155ebf7a3ccceb_39443.txt
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"World Economic Forum" Davos, 3D printing, agricultural Revolution, AI winter, Albert Einstein, AlphaGo, Alvin Toffler, anti-work, antiwork, autonomous vehicles, basic income, Ben Bernanke: helicopter money, Bernie Sanders, Bletchley Park, blockchain, call centre, Cambridge Analytica, Capital in the Twenty-First Centur...
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math/729033_088416c6542a36aa_10962.txt
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math/42005_95342f9b0c790091_64.txt
**Aims of the course** The concept of a Grothendieck topos was introduced in the pioneering work of A. Grothendieck in algebraic geometry to provide a vast generalization of the concept of a sheaf on a topological space. The course will introduce students to the definition and properties of sheaves, not only on topolog...
math/729033_48155ebf7a3ccceb_1520.txt
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math/3742825_d4655b6808b69bdd_1019.txt
We study the fundamental problem of ReLU regression, where the goal is to fit Rectified Linear Units (ReLUs) to data. This supervised learning task is efficiently solvable in the realizable setting, but is known to be computationally hard with adversarial label noise. In this work, we focus on ReLU regression in the Ma...
math/729033_48155ebf7a3ccceb_3124.txt
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displaystyle begin aligned alpha amp; frac x _ 1 x _ 2 cdots x _ n n 6pt amp; frac frac m n left(x _ 1 x _ 2 cdots x _ n right) m 6pt amp; frac x _ 1 x _ 2 cdots x _ n frac (m-n) n left(x _ 1 x _ 2 cdots x _ n right) m )( because x _ 1 x _ 2 cdots x _ n ...
math/92171_e26caa74eb27f4da_309.txt
Against the backdrop of enthusiasm for large language models (LLMs), there is a growing need to scientifically assess their capabilities and shortcomings. This is nontrivial in part because it is difficult to find tasks which the models have not encountered during training. Utilizing symbolic graphics programs, we prop...
math/761e4df2_6886.txt
The newly written Thin Walls: Men(tal) Health comes from the theatre class of Wabash College Professor Heidi Winters Vogel, in Crawfordsville, Indiana. The project began in January, and all aspects of its devising and production have consumed her students through to its opening at Greenside @ George Street.The class – ...
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A Ballantine Book Published by The Random House Publishing Group 1995 by Michael Crichton Map 1995 by David Cain Dinosaur illustrations 1995 by Gregory Wenzel Published in the United States by Ballantine Books, an imprint of The Random House Publishing Group, a division of Random House, Inc., New York, and simultaneous...
math/1475_cf8b9e0971c96393_477.txt
and the two-pancake theorem that follows from it, mathematicians have proved the following result, called the ham-sandwich theorem: Given any three objects sitting in three-dimensional space, there exists a single plane that simultaneously slices the volume of each object exactly in half. For example, there is a single...
math/729033_48155ebf7a3ccceb_6995.txt
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The Department recognizes that the need for effective communication is critical in emergency situations. After due consideration of all of these concerns raised by commenters, the Department has revised § 35.160(c) to narrow the exception permitting reliance on individuals accompanying the individual with a disability ...
math/2710_db9c0f2f4b6f960d_2126.txt
Thèse dirigée par Pr. Driss Mammass, préparée au Laboratoire Image et Reconnaissance de Formes-Systèmes Intelligents et Communicants IRF-SIC, soutenue le 22 juin 2013, Agadir, Maroc. L'objectif de cette thèse est de fournir à la télédétection des outils automatiques de la classification et de la détection des changemen...
math/3742825_d4655b6808b69bdd_1007.txt
Deep reinforcement learning has generated superhuman AI in competitive games such as Go and StarCraft. Can similar learning techniques create a superior AI teammate for human-machine collaborative games? Will humans prefer AI teammates that improve objective team performance or those that improve subjective metrics of ...
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34. *The 59 Icosahedra* was coauthored by Flather as well as Coxeter’s classmate at Trinity, Patrick Du Val, with illustrations done by John Petrie, and published in 1938 by the University of Toronto Press. They tried to get it published by the Royal Society of Edinburgh (RSE), but plans fell through, pursuant to this ...
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The activity started by presenting a question such as 3/4 x 5/8. The students were asked to fold the square in such a way as to represent three-fourth. Then the students were told to color the section that would highlight the three-fourth. Then they were guided to rotate the sheet and fold again from another side into ...
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math/107483_db9c0f2f4b6f960d_744.txt
The quantized model of Newtonian gravity indicates that the quantum effects of gravity become apparent when particles of sufficiently small mass are in the orbit of a gravitating body of mass. In particular, the stable orbital path of particles in such conditions are shown to be polygons. The stable circular path of cl...
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The origin of life is one the most fascinating problems of biology. The classic Miller-Urey experiment was carried out almost 60 years ago. In the experiment sparks were shot through primordial atmosphere consisting of methane, ammonia, hydrogen and water and the outcome was many of the aminoacids essential for life. T...
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Dempster-Shafer evidence theory as an extension of Probability has wide applications in many fields. Recently, A new entropy called Deng entropy was proposed in evidence theory. There were a lot of discussions and applications about Deng entropy. However, there is no discussion on how to apply Deng entropy to measure th...
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CIPHER, a novel communication method for LLMs, bypasses the limiting token sampling step, allowing them to exchange beliefs across the full vocabulary through transformer output embeddings. This deviation from natural language enables CIPHER to encode a broader information range, surpassing existing LLM debate methods ...
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