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math/8a98601b_151677.txt | - Euler-Rodrigues formula - Euler's rotation theorem - Rodrigues' rotation formula - Plane of rotation - Axis-angle representation - Rotation group SO(3)) - Rotation formalisms in three dimensions - Rotation operator (vector space)) - Transformation matrix - Yaw-pitch-roll system - Kabsch algorithm - Isometry - Rigid t... |
math/1125087_e26caa74eb27f4da_132.txt | Low-light image enhancement poses a significant challenge due to the limited information captured by image sensors in low-light environments. Despite recent improvements in deep learning models, the lack of paired training datasets remains a significant obstacle. Therefore, unsupervised methods have emerged as a promis... |
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math/4493c540_150860.txt | then f is called K -bilipschitz (also written K -bi-Lipschitz ). We say f is bilipschitz or bi-Lipschitz to mean there exists such a K . A bilipschitz mapping is injective , and is in fact a homeomorphism onto its image. A bilipschitz function is the same thing as an injective Lipschitz function whose inverse function ... |
math/1125087_cd88ad8d738a46f1_27.txt | Initial research in probability cognition was undertaken during the 1950s and 1960s by Piaget and Inhelder and by psychologists with varying theoretical orientations (Jones and Thornton 2005). Research during this period was dominated by the work of Piaget and Inhelder,Footnote 4 which largely investigated “development... |
math/2825922_4585775c634d3010_23.txt | The first step to understanding this problem is to convince yourself tftat great circles are straight lines on a sphere. Think what it is about the great circles that would make the bug experience them as straight. To better visualize w hat is happening on a sphere (or any other surface, for that matter), you must use ... |
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math/d2d88199_3168.txt | First off, I think you are completely welcome here. Your husband may not have ADHD, but he certainly behaves like he does! I would have been terrified in the circumstances under which you found your three-year-old, so I can certainly understand your worries. My husband has never done something on that level (when he wa... |
math/b76db5a3_8232.txt | In case of interval arithmetic, e.g., [76, 208], numerical errors are taken into account by associating an interval of possible values to a variable. This approach is correct in the sense that result intervals are guaranteed to contain the real number that is the value of the expression. The interval size indicates the... |
math/107483_db9c0f2f4b6f960d_430.txt | Hall effect thrusters are one of the most versatile and popular electric propulsion systems for space use. Industry trends towards interplanetary missions arise advances in design development of such propulsion systems. It is understood that correct sizing of discharge channel in Hall effect thruster impact performance... |
math/1125087_0f68f7f321a3927f_44.txt | As companies race to adopt AI in new use cases, hardware vendors and cloud providers are developing the protocols to secure AI workloads with limited input from the broader security community. This talk surveys key challenges of extending Confidential Computing and Trusted Execution Environments from CPUs to clusters o... |
math/4922055_7ab07cafeba60340_812.txt | The epistemological problem. We can test ordinary causal claims in many ways. If we want to know whether the mixture exploded because it contained chemical X, we can prepare a similar mixture that lacks X and see what happens. If it explodes in exactly the same way, that is good evidence that X was not a cause of the e... |
math/4cc70bf3_149806.txt | In the following examples, the set X displaystyle X is the real interval 0 , 1 displaystyle 0,1 , and Σ displaystyle Sigma is the Borel sigma-algebra on X displaystyle X . |
math/5cbb1b17_2459.txt | Find the volume of the solid whose base is the region bounded by the curves \(y=3x^2\) and \(y=1-x^2\), and whose cross-sections through the solid perpendicular to the x-axis are squares. You can view the diagram here: https://www.geogebra.org/3d/k67duzz4 Find the intersecting points: \(1-x^2=3x^2 \implies 4x^2=1 \impl... |
math/3009635_ce743a6e6e359862_105.txt | Of course, no amount of computing power can confirm the conjecture for every number; thus, mathematicians hope for an actual proof that Goldbach’s intuition was right. In 1966, Chen Jing-Run, a Chinese mathematician, made some progress when he proved that every sufficiently large even number is the sum of one prime, pl... |
math/1373806_6553da1bbfca14cf_32.txt | I see what you are concerned about better now, but I don’t your concern. For example, you keep using the comb model as an example of where the likelihood function is dysfunctional, but then you wrote this: “If the data really were comb this is what you would want but they are not so you don’t.” My response is that if ... |
math/92171_f467e2efefddb294_580.txt | Recently, role-playing agents have emerged as a promising paradigm for achieving personalized interaction and emotional resonance. Existing research primarily focuses on the textual modality, neglecting the critical dimension of speech in realistic interactive scenarios. In particular, there is a lack of systematic eva... |
math/4922055_dcd4406d5f48241d_757.txt | Kepler's Second Law establishes that the planet moves fastest when it is st to the Sun (the point known as perihelion) and slowest when it is farthest (aphelion), in such a way that the line joining the planet to the Sun sweeps equal areas in equal time intervals (Figure 62). The question of what causes Kepler's laws t... |
math/d60da17e_7903.txt | Clearly, one of the most basic properties of a curve that we want to control are the locations of its start and end, p (0) and p (1) , respectively. Let's see what p (t) looks like at the endpoints. We'll use the cubic case as our example. At t=0 , we have In other words, c 0 specifies the start point of the curve. Now... |
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math/735679_01a67ab3c9f52e8e_0.txt | ISBN 978-4-431-55841-5 ISBN 978-4-431-55843-9 (eBook) DOI 10.1007/978-4-431-55843-9 Library of Congress Control Number: 2015956020 Springer Tokyo Heidelberg New York Dordrecht London © Springer Japan 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the mater... |
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math/3742825_029af0a44731fcc2_146.txt | Low-rank adaptation (LoRA) is one of the most popular methods among parameter-efficient fine-tuning (PEFT) methods to adapt pre-trained large language models (LLMs) to specific downstream tasks. However, the model trained based on LoRA often has an unsatisfactory performance due to its low-rank assumption. In this pape... |
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math/3636009_287971b0e2e2e18d_24.txt | ``` Paul G. Mezey and Nenad Trinajsti\'c Editorial foreword . . . . . . . . . . . i--i R. Baraglia and R. Ferrini and D. Laforenza and R. Perego and A. Lagan\`a and O. Gervasi A massively parallel approach to the quasiclassical reactive scattering . . . 1--11 Maurice Kibler and Tidjani Négadi On quantum groups an... |
math/42005_6fbfd9fef36d4aa6_64.txt | **Search for the Anomalous Events Detected by ANITA Using the Pierre Auger Observatory** Pierre Auger Collaboration; Abdul Halim, A.; Abreu, P.; Aglietta, M.; Allekotte, I.; Almeida Cheminant, K.; Almela, A.; Aloisio, R.; Alvarez-Muñiz, J.; Ammerman Yebra, J.; Anastasi, G. A.; Anchordoqui, L.; Andrada, B.; Andringa, S.... |
math/729033_48155ebf7a3ccceb_40179.txt | Durham University.7MbAbstractGenes encoding representatives of two subfamilies from the vicilin storage protein family in pea (Pisum sativum L.) have been sequenced and characterised. One [url=https://www.aloyoga-de.com.de/][b]alo yoga taschen[/b][/url], one new resource or one powerful connection would pay for the tri... |
math/4922055_dcd4406d5f48241d_73.txt | Dark Satanic Mills, but either way, before futurism could be born, people had to believe in progress. Technological change had not always seemed like a one-way street. Now it did. The children of the Industrial Revolution witnessed vast transformations within their lifetimes. To the past there was no return. Surrounded... |
math/3742825_029af0a44731fcc2_59.txt | The Seifert-van Kampen theorem computes the fundamental group of a space from the fundamental groups of its constituents. We formalize this theorem within the framework of computational paths, an approach to equality where witnesses are explicit sequences of rewrites governed by the confluent, terminating LNDEQ-TRS. Ou... |
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math/4922055_be81ab40b62b170c_386.txt | But not on their own—they had to align with known facts and mesh with known theories. When all of that was stirred into the pot, it was almost as if the symbols themselves brought the positron into existence. The Mystery of a Comprehensible Universe For our third example of the eerie effectiveness of calculus, it seems... |
math/2486718_282363989c83d77c_261.txt | In the modern age, public-key cryptography has become a vital component for secure online communication. To implement these cryptosystems, rapid primality testing is necessary in order to generate keys. In particular, probabilistic tests are used for their speed, despite the potential for pseudoprimes. So, we examine t... |
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math/735679_1f76cca408c18bd5_428.txt | Descriptive statistics for all pre- and post-tests administered are given in Table 1. Results are further broken down by group and gender. A 2 × 2 between-groups ANCOVA was conducted for each of the spatial ability tests. For the first of three spatial tests, the Card Rotation Test, values calculated revealed a significa... |
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math/4922055_b38ad4db239966be_63.txt | I was wondering if you could clear up a conundrum for me. Obviously, creationist claim the earth to be somewhere around 6000 years old, or at least human existence on the earth to be somewhere in that range. How does the speed of light weigh in on this theory? I thought I read somewhere that we could use the speed of l... |
math/2710_db9c0f2f4b6f960d_1458.txt | This study presents a unique set of solutions, using empirically determined physical quantities, in achieving a novel dimensionless constant α(1/Roo )/PL from the ratio of the inverse of the Rydberg constant to the Planck length. It is henceforth shown that the Lorentz Scalar coming into play, which we dub the Parana c... |
math/735679_ad2a229f4d76f0eb_22.txt | Back to top * #5 — The Mathematics of Folding & Unfolding **Joseph O’Rourke**, Smith College Part 1, Thursday, August 2, 3:30 p.m. – 5:30 p.m. Part 2, Saturday, August 4, 1:00 p.m. – 3:00 p.m. How many ways are there to flatten a cube? How can you cut out block letters for a whole word all at once with one straight sci... |
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math/25111_dd79e43f58faa350_890.txt | Case Problem 1: Property Purchase Strategy Gina Foreman, president of Oceanview Development Corporation, is considering submitting a bid to purchase property that will be sold by sealed-bid auction at a county tax foreclosure. Gina’s initial judgment is to submit a bid of $5 million. Based on Gina’s experience, Gina es... |
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math/1125087_cc1db12901ec89ae_80.txt | **Date**: Wednesday, March 7 at 11:30am **Room**: Roosevelt 213 **Speaker**: Jonathan Farley, Morgan State University **Title**: The Many Lives of Lattice Theory: An Expository Talk about Geometry, Topology, and Stanley **Abstract**: Modern lattice theory, the abstract study of order and hierarchy, was reborn at Harvar... |
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math/1633704_d08f849c137f62ee_251.txt | !**ANSWER:** In order to have a "feeling" of motion, there must be an acceleration. The acceleration of the earth in its orbit is about 6x10-6 m/s2. For comparison, if you are in a car with an acceleration from 0 to 60 mph in 10 s, your acceleration is about 3 m/s2; this means that you "feel" pushed back into your seat... |
math/3742825_77f86a884891737a_779.txt | Often, when an algebraic object is drawn at random, it is isomorphic to a given object A with probability that is proportional to 1/#Aut(A). Cohen and Lenstra observed in the early 1980s that this principle explains heuristically numerous phenomena in the behaviour of ideal class groups of quadratic number fields that ... |
math/1866757_b9f5347e488d80b3_77.txt | End-to-end encrypted (E2EE) messaging is an essential first step in providing message confidentiality. Unfortunately, all security guarantees of end-to-end encryption are lost when keys or plaintext are disd, either due to device compromise or coercion by powerful adversaries. This work introduces Wink, the first plaus... |
math/5930743f_3127.txt | I was a single parent for 11 years. My boyfriend left me for someone else when I was 4 months pregnant. Over time, I healed and we now have a good relationship. Fortunately, he is a good dad. I am now married to a man with ADHD. I think I knew what I was getting into, but I didn't realize how bad it would get. I agree ... |
math/1475_cf8b9e0971c96393_298.txt | Euclid’s proof of the infinitude of primes Around the third century B.C.E., EUCLID proved that there is no such thing as a largest PRIME number, meaning that the list of primes goes on forever. He presented his proof as Proposition IX.20 in his book THE ELEMENTS, and he was the first to recognize and prove this fact ab... |
math/2710_db9c0f2f4b6f960d_888.txt | The focus of this note is in the formation of matter-antimatter asymmetric universe without antimatter in the first place. To avoid problems of best known published preon models we utilize ´t Hooft theory’s deterministic Hilbert space methods to preons. Inflation is started in a ultra dense graviton phase predominating... |
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math/735679_7f4ecb22a28da440_492.txt | 3. **Herbivory.** Herbivory is the interaction between an organism and a plant. The organism eats parts of the plants to get their nutrients. As a result, since plants do not have the ability to flee from an herbivore, plants have adapted by growing thorns and spikes as well as producing poisonous toxins to warn and pr... |
math/3742825_a5801def072ec91c_23.txt | The real importance of symmetry came when Einstein formulated the laws of special relativity. Prior to him, one first found a law of nature and then found its symmetries. In contrast, Einstein used the symmetries to discover the laws. In order to find the laws of special relativity, he posited that the laws must be the... |
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math/3742825_b65127240d6c99a2_54.txt | As alluded above however, there’s a problem with the MFT results for the critical point, namely that it’s precisely at the critical point where MFT breaks down! The reason is that at the critical point, fluctuations at all scales are important, whereas MFT includes only fluctuations to linear order (cf. (5)). The contr... |
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math/1866757_bb0f8b9cd73ec091_150.txt | Notes: (1) In the opposite limit of small B and large κ this correspondence breaks down. (2) Note that the measure Eq. (12.3.4) is not the unique one leading to the q-deformed Hermite (Ismail-Masson) polynomials. This is perhaps the main reason for all peculiarities of the double-logarithmic confinement, that there is ... |
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math/92171_c88aec83fa6f885b_64.txt | > An example of one design interview I have partially failed (enough to get a follow-up one but not be rejected). An engineer that spent 10y of his career designing a distributed key-value store asked me to design one. Back then I considered it a fair question as I had focused quite a bit on this type of low-level data... |
math/1475_cf8b9e0971c96393_670.txt | Ancient Chinese scholars, and later Arab scholars, computed examples of standard 4 × 4, 5 × 5, and higherorder magic squares. (The 5 × 5 magic square shown below is attributed to Yang Hui of the 13th century, and the 6 × 6 magic square to Chêng Ta-wei of the 16th century.) German artist ALBRECHT DÜRER (1471–1528) depic... |
math/2710_db9c0f2f4b6f960d_2187.txt | Nous posons l’hypothèse fondamentale que toute radiation électromagnétique se transforme progressivement, évoluant vers et atteignant après une distance appropriée la valeur de la radiation cosmique résiduelle soit une longueur d’onde de 1,873 mm. Ainsi nous expliquons le décalage vers le rouge Z de la radiation proven... |
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math/107483_db9c0f2f4b6f960d_2248.txt | English (traslation): The influence of electricity in the gravity is shown here. Being able to verify this with a simple experiment, charging and discharging a capacitor. Modifying the equation used is achieved justify mass number of atoms in part. And also that the pressure is needed to create atoms of the planetary ... |
math/3030191_502d57317855027b_38.txt | I think the Republicans are out of their cotton-pickin’ minds to be taking on this issue at this time. The thought that more of our GDP will be going to the elderly over time is not anathema to me. Social Security is very successful. Apart from disability – a small part – there’s almost no fraud; it’s hard to fake bein... |
math/13261_4fe0806401678203_269.txt | In § 35.151(b)(4)(ii)(C) of the NPRM, the Department included a provision that stated that public entities that have brought required elements of path of travel into compliance with the 1991 Standards are not required to retrofit those elements in order to reflect incremental changes in the 2010 Standards solely becaus... |
math/729033_088416c6542a36aa_910.txt | is considered the greatest of all time. Jordan and his classic shoe represent a cultural and sociological tipping point in society that was so needed in 1984 and even today. Everyone still wants to be like Mike at least walk in his shoes.. The 2019 report [url=https://www.crocsoutlet.us/][b]crocs echo clogs[/b][/url], ... |
math/42005_a56b39f829963d58_36.txt | An ultimate goal of algebraic topology is to find means to compute the set of homotopy classes of maps from one space to another. This is important because many geometrical problems can be rephrased as such a computation. It’s a lot more modest than wanting to characterize, somehow, all continuous maps from X to Y ; bu... |
math/363652_fbb249f58a1ea9af_396.txt | Vectors belong to a more general concept called tensors. While a vector describes a magnitude of something in a given direction, tensors allow calculation of magnitudes as a function of orientation. Velocity is a vector relating speed to direction, but speed may change depending on direction, so we might need a tensor ... |
math/59738_02d8b50acb939ebf_600.txt | Really? Obama had 8 years to take your guns away and he never did. What’s wrong with Republicans wanting to send our hard earned tax money to countries like Israel who actually has universal healthcare and 2 years of service in IDF where they learned responsibility and had a free education during service? What can’t yo... |
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math/3742825_77f86a884891737a_1038.txt | Integrated nested Laplace approximation (INLA) may be used to fit a large class of (complex) statistical models. While MCMC methods use stochastic simulations for estimation, integrated nested Laplace ap- proximation (INLA) is based on deterministic approximations where there are no convergence issues. INLA is a very a... |
math/92171_f467e2efefddb294_159.txt | Vision-language pretraining (VLP) has emerged as a powerful paradigm in medical image analysis, enabling representation learning from large-scale image-text pairs without relying on expensive manual annotations. However, existing methods often struggle with the noise inherent in web-collected data and the complexity of... |
math/2825922_fdb7b48aaf6e43d3_614.txt | showing that graphene devices fabricated using a Cu sacrificial layer significantly reduces defect density over that of devices fabricated using both no sacrificial layer and Al sacrificial layer suggesting a reduction in surface doping of 60 over devices fabricated with no sacrificial layer. Sunday nike dunk, or simpl... |
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math/acbbaf75_148693.txt | In general, the enclosed area can be calculated as follows. First, locate the point on the parabola where its slope equals that of the chord. This can be done with calculus, or by using a line that is parallel to the axis of symmetry of the parabola and passes through the midpoint of the chord. The required point is wh... |
math/f480040e_6318.txt | Authors: Ritvik Chappidi, Aditya Jupally Comments: 2 Pages. Scaling laws describe how model performance improves with dataset size, model width, and compute. While such laws are well documented for large-scale language models, their behavior in small networks remains less understood. This paper presents a concise empir... |
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