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math/2710_db9c0f2f4b6f960d_1399.txt
Warp Drives are solutions of the Einstein Field Equations that allows superluminal travel within the framework of General Relativity. There are at the present moment two known solutions: The Alcubierre warp drive discovered in $1994$ and the Natario warp drive discovered in $2001$.Alcubierre used the so-called $3+1$ or...
math/2825922_fdb7b48aaf6e43d3_3688.txt
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One of the goals of modern biology is to understand how the basic building blocks of life give rise to biological form and function. This course provides students with a common lexicon to understand the key principles and concepts in molecular and cell biology, with a focus on how the building blocks of life lead to fu...
math/729033_48155ebf7a3ccceb_23659.txt
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math/2710_db9c0f2f4b6f960d_255.txt
Let $mathcal{O}subset mathbb{R}^d$ be a bounded domain of class $C^{1,1}$. In $ L\_2(mathcal{O};mathbb{C}^n)$, we consider a matrix elliptic second order differential operator $A\_{D,varepsilon}$ with the Dirichlet boundary condition. Here $varepsilon >0$ is a small parameter. The coefficients of the operator $A\_{D,va...
math/25111_63c57e045875c975_335.txt
The sensor selection problem arises in many applications ranging from sensor networks for event detection to determining concentrations of bio-markers for disease detection. In this paper, we assume that in addition to noise, there exist interference signals (which can be correlated with the desired signals) corrupting...
math/2710_db9c0f2f4b6f960d_2664.txt
In this paper, we focus on the calculation of the supersymmetric term for obtaining the mass of the lightest Higgs boson. Thus will provide the scale of supersymmetry. Similarly, entering the exact angle β, ,will allow us to calculate the masses of the remaining four Higgs bosons , mA , mH0 , mH ± and the stop mass 422...
math/3645139_b3102e1bfcde5d61_87.txt
As defined in Sec.36.104, a public accommodation is a private entity that owns, leases or leases to, or operates a place of public accommodation. Section 36.102(b)(2) emphasizes that the general and specific public accommodations requirements of subparts B and C obligate a public accommodation only with respect to the ...
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Non-matriculated status is assigned to any student who wishes to take classes at Suffolk County Community College but who has not been admitted into a degree or certificate program or for a student who has lost matriculation status. Non-matriculated students can register for 1 through 11.5 credits per semester and are ...
math/4922055_7ab07cafeba60340_774.txt
than men, it is often taken as a subtle mark of their inferiority—a sign that they are somewhat less rational or less reliable or less sensible than men. What all the women have in common with each other, in Haslanger’s view, is that they are expected to occupy social roles that are, within the context they are expecte...
math/3742825_a5801def072ec91c_1512.txt
* Acuña, P. (2014) “On the Empirical Equivalence between Special Relativity and Lorentz’s Ether Theory.” *Studies in History and Philosophy of Modern Physics* 46: 283-302. * Armstrong, D. M. (2004) *Truth and Truthmakers*. Cambridge: Cambridge University Press. * Balashov, Y. and M. Janssen (2003) ”Presentism and Relat...
math/1475_cf8b9e0971c96393_173.txt
r from a given point O forms a d curve in the plane called a circle. The length r is called the radius of the circle, and the point O its center. If the center point has CARTESIAN COORDINATES 0 = (a,b), then the DISTANCE FORMULA shows that any point (x,y) on the circle satisfies the equation: (x – a)2 + (y – b)2 = r2 I...
math/729033_b1b1b6ea9ebba756_134.txt
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The sumptuous blue-and-gold surface of these ornamental vases exemplifies the 18th-century taste for gilded decoration and exuberant color. Rimmed in gold, the top openings resemble precious shells while the handles seem to have been formed by encasing myrtle leaves in gold. The vases carry narrative scenes based on co...
math/59738_0678c516274774e4_223.txt
Your CTMU, to me, comes across as a very verbose labyrinth of neologisms meant to prevent people from criticizing it without experiencing your barbed backlashes. You spent a great deal of time writing the CTMU and you’ve been supporting it for a decade, which is not a trivial thing. It’s very clear that you are sincere...
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math/6280c1b6_1988.txt
These geometric primitives can also be parameterised in their dual form with the classic parameters that we would associate with a geometric primitive of that type. We will introduce these primitives for the specific 3D CGA in more detail as we work our way through the thesis but here we will simply mention that they c...
math/59738_02d8b50acb939ebf_867.txt
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including Tony and Drama Desk awards and recognition from the New York Drama Critics’ Circle and the Obie Awards. The play follows a group of eight gay friends as they vacation in upstate New York. Moss’ opportunity could serve as his early audition to reprise the starting role at USC next year when the Trojans try to ...
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math/25111_dd79e43f58faa350_47.txt
In some cases, the data needed for a particular application exist from an experimental or observational study that has already been conducted. For example, companies maintain a variety of databases about their employees, customers, and business operations. Data on employee salaries, ages, and years of experience can us...
math/28817a8c_2899.txt
Illumination degradation image restoration (IDIR) techniques aim to improve the visibility of degraded images and mitigate the adverse effects of deteriorated illumination. Among these algorithms, diffusion-based models (DM) have shown promising performance but are often burdened by heavy computational demands and pixe...
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The combined region of the two sets is called their union) , denoted by A B , where A is the has two legs circle and B the can fly circle. The union in this case contains all living creatures that either are two-legged or can fly (or both). The region included in both A and B, where the two sets overlap, is calle...
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The degree of partial melting is critical for determining what type of magma is produced. The degree of partial melting required to form a melt can be estimated by considering the relative enrichment of incompatible elements versus compatible elements. Incompatible elements commonly include potassium, barium, caesium, ...
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math/3742825_a5801def072ec91c_83.txt
The intuition of twoity does not just yield the positive integers. Brouwer maintains that the first infinite ordinal number \(\omega\) and all subsequent countable ordinals can be obtained by the indefinite repetition of the creation of twoities in time (Brouwer 1907, pp. 144-145). The first act of intuitionism is ther...
math/3742825_cfa6e6481b8cd2bd_649.txt
Close-contact places such as Long-term facilities have been found to be high-risk and high-morbidity places in the US for COVID-19 outbreaks. The reasons include a vulnerable resident population, limited resources in facilities, contacts with visitors and workers, contaminated resources, and ill-trained workers. In th...
math/3742825_cfa6e6481b8cd2bd_477.txt
We introduce a mathematical of the impact of sociality in the spread of infectious diseases by integrating epidemiological dynamics with a kinetic modeling of population-based contacts. The kinetic leads to study the evolution over time of Boltzmann-type equations describing the number densities of social contacts of...
math/42005_95342f9b0c790091_63.txt
| | | | --- | --- | | **Syllabus:** | Pre-requisite: MTH 405, MTH 424 / Instructor's Consent Review of topics in Functional Analysis and Sobolev Spaces, Mapping between Banach Spaces, Degree theory, Bifurcation theory, Variation method, Constrained critical points, deformation and Palais condition, Linking thorems, M...
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math/735679_af678257aa78969e_180.txt
Recall that a linear transformation expands the area of every shape by the same factor. This universal area expansion factor is the determinant of its matrix. This is particularly clear in the present case, where a unit square aligned with the principal axes is stretched into a rectangle of sides κ1 and κ2 , and theref...
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Soft tissue masses can emerge anywhere in the body, and specialists cross the spectrum of physician expertise. A fundamental principle of soft tissue tumor management is that the biopsy and surgery be performed by the same individual. Orthopedic oncologists tend to perform resections from the arms and legs, pelvis, spi...
math/25111_ac85740026da51f7_268.txt
Abstract: Finding concise, accurate representations for sample data is a central problem in modern data analysis. In this talk, we discuss several intriguing “high-dimensional” phenomena which arise when we try to build effective representations for application data. The first qualitative surprise involves nonconvexity...
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math/3742825_77f86a884891737a_568.txt
An important lesson that has emerged in the past two years is that entanglement and geometry are deeply related. This is made manifest in AdS/CFT via the RT and HRT conjectures. In particular, the hole-ographic bulk reconstruction allows one to reconstruct arbitrary curves in the bulk space from CFT entanglement entrop...
math/2853639_b9fcd86c2dbe2dbc_82.txt
This suggests the inequality   b b 1 1 log f (x) dx ≤ f (x) dx exp b−a a b−a a for positive functions f (x) on the interval [a, b]. Under the assumption that f and log f are Riemann integrable, a proof can be based on the classical arithmetic–geometric mean inequality for sums, approximating the integrals by their co...
math/735679_ad2a229f4d76f0eb_253.txt
Beginning with Aristotle, almost every major philosopher and mathematician before the nineteenth century rejected the notion of the actual infinite. They all argued that the only sensible notion is that of potential infinity. The list includes some of the greatest mathematical minds ever. Due to Georg Cantor’s influenc...
math/373672_8ee0fe2bed605a7b_79.txt
In this paper, we study safe data collection for the purpose of policy evaluation in tabular Markov decision processes (MDPs). In policy evaluation, we are given a target policy and asked to estimate the expected cumulative reward it will obtain. Policy evaluation requires data and we are interested in the question of ...
math/f512f746_0825.txt
There are two different notions of a Laplacian operator associated with graphs: discrete graph Laplacians and continuous Laplacians on metric graphs (widely known as quantum graphs). Both objects have a venerable history as they are related to several diverse branches of mathematics and mathematical physics. The existi...
math/3742825_d4655b6808b69bdd_286.txt
Generative modeling of multivariate time series has remained challenging partly due to the complex, non-deterministic dynamics across long-distance timesteps. In this paper, we propose deep probabilistic methods that combine state-space models (SSMs) with transformer architectures. In contrast to previously proposed SS...
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``` Stanley R. Huddy and Michael A. Jones The Calculus Behind Generic Drug Equivalence . . . . . . . . . . . . . . 2--9 Yukio Kobayashi Proof Without Words: a Sum Computed by Self-Similarity . . . . . . . . . . . . 10--10 Vincent J. Matsko Designing Koch-Like Curves . . . . . . . 11--19 Allan Bickle MegaMenge...
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Following several decades of exhaustive research and intensive investigation, Simultaneous Localization and Mapping (SLAM) continues to dominate a magnificent share of the research conducted in the robotics community. SLAM is the problem of concurrently estimating the position of a robotic vehicle navigating in a previ...
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The Department declines to establish time-based limitations for when content may be posted to an archive or to otherwise set an expiration date for the exception. As discussed elsewhere in this appendix, the Department recognizes that many public entities will need to carefully consider the design and structure of thei...
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Mathematicians today can’t say enough good things about these Coxeterian innovations. They are “one of the pillars of mathematics,”19 “part of the substrate …the air we breathe”20 and almost as essential as numbers themselves.21 Papers have been written on why Coxeter groups pop up so much, why they are such a versatil...
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The computational process should then be so arranged as to produce the card *C'* of the "new" neutron, or rather 1 to 4 such cards *C', C", C"', C""* (depending on the neutrons' actual history, cf. above). Each card, however, need only be provided with the 5 characteristics of its neutron. The 7 random variables can be...
math/2825922_ea43d09e3c6ae6ed_660.txt
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math/2853639_cfec8cd96ffe694b_35.txt
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math/71b93fd5_10652.txt
Bayesian Optimization (BO) has been recognized for its effectiveness in optimizing expensive and complex objective functions.Recent advancements in Latent Bayesian Optimization (LBO) have shown promise by integrating generative models such as variational autoencoders (VAEs) to manage the complexity of high-dimensional ...
math/2825922_fdb7b48aaf6e43d3_4434.txt
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math/107483_db9c0f2f4b6f960d_122.txt
Suppose the Riemann Zeta function is multiplied by two arbitrary functions, and the resulting functions' values are equated at symmetrical points concerning the critical line Re s = 1/2. In that case, the resulting system of fourequations has to give the positions of the Zeta function's zeros. However, since the functi...
math/729033_48155ebf7a3ccceb_20220.txt
and is something that researchers in the United Kingdom are exploring. They have discovered that ink can be removed from a piece of paper without causing damage to the paper. This would mean that pieces of paper could be used again and again. Passage of legislation to graduate Ukraine from Jackson Vanik recognizes the ...
math/4922055_7ab07cafeba60340_1406.txt
course, have motivational connections. In a rightly celebrated article “Are There Any Natural Rights?” Herbert Hart has argued that people “speak of their moral rights mainly when advocating their incorporation in a legal system.” He added that the concept of a right “belongs to that branch of morality which is specifi...
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In the past decade, deep learning has significantly reshaped the landscape of information retrieval (IR). The community has recently begun to notice the potential dangers of overusing less-understood mechanisms and over-simplified assumptions to learn patterns and make decisions. In particular, there is growing concern...
math/3742825_d4655b6808b69bdd_275.txt
In this work, we consider the optimization formulation for symmetric tensor decomposition recently introduced in the Subspace Power Method (SPM) of Kileel and Pereira. Unlike popular alternative functionals for tensor decomposition, the SPM objective function has the desirable properties that its maximal value is known...
math/729033_088416c6542a36aa_844.txt
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``` Tatsuji Kambayashi and Masayoshi Miyanishi and Mitsuhiro Takeuchi On the theory of unipotent algebraic groups over an arbitrary ground field 1--4 Tatsuji Kambayashi and Masayoshi Miyanishi and Mitsuhiro Takeuchi Notations, conventions and some basic preliminary facts . . . . . . . . . . . 5--16 Tatsuji Kamb...
math/363652_fbb249f58a1ea9af_353.txt
An important application of having a time scale of geomagnetic polarity reversals is as a dating tool for stratigraphic sequences. The pattern of polarity zones is determined by measuring the magnetization of samples taken from the stratigraphic section. If the polarity zones in the so-called magnetostratigraphy can be...
math/353276_f467e2efefddb294_594.txt
Deepfake detection is a critical task in identifying manipulated multimedia content. In real-world scenarios, deepfake content can manifest across multiple modalities, including audio and video. To address this challenge, we present ERF-BA-TFD+, a novel multimodal deepfake detection model that combines enhanced recepti...
math/729033_48155ebf7a3ccceb_19756.txt
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And whatever the common Analysis [that is, algebra] performs by Means of Equations of a finite number of Terms (provided that can be done) this new method can always perform the same by Means of infinite Equations. So that I have not made any Question of giving this the Name of Analysis likewise. For the Reasonings in ...
math/1866757_b9f5347e488d80b3_229.txt
As one of the most popular C++ extensions for developing graphical user interface (GUI) based applications, Qt has been widely used in desktops, mobiles, IoTs, automobiles, etc. Although existing binary analysis platforms (e.g., angr and Ghidra) could help reverse engineer Qt binaries, they still need to address many f...
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In this work, the general formula of the n-th partial sums ��\_n of sums of powers of the form 1^n+ 2^n + . . . + m^n is obtained by an algebraic method, and said formula is applied to the obtaining the Bernoulli numbers by a new simple method.En este trabajo se obtiene la fórmula general de las n-ésimas sumas parciale...
math/3742825_029af0a44731fcc2_558.txt
Securing personal identity against deepfake attacks is increasingly critical in the digital age, especially for celebrities and political figures whose faces are easily accessible and frequently targeted. Most existing deepfake detection methods focus on general-purpose scenarios and often ignore the valuable prior kno...
math/94122dbc_3699.txt
To build effective therapeutics, biologists iteratively mutate antibody sequences to improve binding and stability. Proposed mutations can be informed by previous measurements or by learning from large antibody databases to predict only typical antibodies. Unfortunately, the space of typical antibodies is enormous to s...
math/4358766_311ed2f8cb356f76_28.txt
The Digital Consciousness SuperAligned Model (DiCoSa) introduces a modular, bottom-up framework for embedding human values into superintelligent AI systems, drawing from positive psychology, computational principles, and AI safety research. Anchored by three fixed dimensions—DiCoValues, DiCoLife, and DiCoPurpose—the mo...
math/729033_48155ebf7a3ccceb_34283.txt
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We tested the attacks against different Microsoft Office versions on Windows and macOS, as well as against OnlyOffice Desktop on Windows, macOS and Linux. All tested Office versions are vulnerable. On macOS, we could reveal a surprising result: although Microsoft Office indicates that the document is protected by a sig...
math/3645139_b3102e1bfcde5d61_5.txt
(a) In new construction, a person or entity is not required to meet fully the requirements of these guidelines where that person or entity can demonstrate that it is structurally impracticable to do so. Full compliance will be considered structurally impracticable only in those rare circumstances when the unique charac...
math/7fb0a2a9_9168.txt
For mechanically reversible, closed-system processes, every equation is derived. the equations have property changes- dU,dH,△U,△H. This is applied to reversible and irreversible processes in both closed and open systems. An irreversible process is a two-step process. W is for mechanically reversible process. Through ef...