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math/4922055_8ef21f8e25dbef4d_269.txt | Toy Stories is a fascinating mishmash of conflicting art forms and topics. Part storytelling, part stand up, part art film and part social history, Chris Dobrowolski powers along his electrified track, but takes a few wrong turns along the way. Dobrowolski is an artist who lives on an Essex estate with his 92-year-old ... |
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math/1373806_4c39b2553c7c2a0e_210.txt | The Balkans has been in contact with Islam and inhabited by Muslims for six centuries. Nowadays it is the home of over eight million Muslims of various ethnic backgrounds who constitute the second largest religious group in the region. This course examines the history of Islam, Muslims, and Muslim culture in the Balkan... |
math/729033_48155ebf7a3ccceb_11897.txt | the formation of which could proceed by an unusual cyclisation and elimination mechanism. C) Charge transfer salts have been prepared by complexation of decamethylferrocene with various fluorinated dienes. Gigster isn’t a typical freelance platform. While most platforms let you work individually with clients [url=https... |
math/1125087_0f68f7f321a3927f_71.txt | Blockchains face significant risks from front-running attacks, leading to multi-billion USD losses. These attacks are often executed by front-running bots, automated tools that operate at high speed to execute transactions, exacerbating the threat landscape. Consequently, it is crucial for blockchain developers to desi... |
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math/2407659_ed120fe322999def_424.txt | A variety of impeller designs are available, for example, propeller, turbine, paddle, etc. A few common impeller types are shown in Figure 8.17. An impeller is usually positioned halfway the liquid depth. Power consumption or the rate of mechanical energy input depends upon a number of factors — the dimensions of the t... |
math/3818919_f6c8c5d8e5ff2341_113.txt | Arising from structural graph theory, treewidth has become a focus of study in fixed-parameter tractable algorithms. Many NP-hard problems are known to be solvable in *O*(*n* · 2*O*(τ)) time, where τ is the treewidth of the input graph. Analogously, many problems in P should be solvable in *O*(*n* · τ*O*(1)) time; howe... |
math/92171_1996e1986c60b184_74.txt | We present HyperLogLogLog, a practical compression of the HyperLogLog sketch that compresses the sketch from $O(mÅogÅog n)$ bits down to $m Åog\_2Åog\_2Åog\_2 m + O(m+ÅogÅog n)$ bits for estimating the number of distinct elements~n using m~registers. The algorithm works as a drop-in replacement that preserves al... |
math/1abe60d4_10749.txt | Path planning is essential for autonomous robotic navigation, ensuring collision-free trajectories. NeRF improves path planning by offering high-fidelity 3D representations from 2D images, enabling detailed geometric understanding and smoother trajectory planning in dynamic environments. NeRF-Nav (Adamkiewicz et al., 2... |
math/59738_7a0f56a6bb79783d_17.txt | Can this be done? That strikes me as a reasonably clear question, a huge and fundamental one, to which we don’t at present know the answer. And there are two possibilities. The first is that we *can* be copied, predicted, rewinded, etc., like computer programs—in which case, my AI friends will feel vindicated, but w... |
math/1373806_4c39b2553c7c2a0e_263.txt | The Russian Revolution of 1917 proclaimed the separation of Church and State in the newly created Soviet Russia and later, Soviet Union. How did it work in practice? This course will examine both policies that addressed Orthodox Christianity, Catholicism, Islam, Judaism, Buddhism and other religious practices and pract... |
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math/3742825_81118dfe88ecd739_60.txt | describes the three generations of fundamental fermions. We postulate that the symmetry group of the SM is the subgroup F4ω of Aut (J38 ) = F4 that respects the quarklepton splitting. Remarkably, the intersection of F4ω with the automorphism group Spin(9) of the subalgebra J28 ⊂ J38 of a single generation is just the g... |
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math/94457df0_147429.txt | This user had been playing around with plotting data in polar coordinates. As a quick reminder, this means labeling points in 2D space, not with the usual xyxyxy-coordinates, but instead with a distance from the origin, commonly called rrr for radius, together with the angle that line makes with the horizontal, commonl... |
math/9b42b7b3_149661.txt | Felsic lavas can erupt at temperatures as low as 800 C (1,470 F). 24 Unusually hot ( gt;950 C; gt;1,740 F) rhyolite lavas, however, may flow for distances of many tens of kilometres, such as in the Snake River Plain of the northwestern United States. 25 |
math/353276_f467e2efefddb294_320.txt | The BrainScaleS-2 SoC integrates analog neuron and synapse circuits with digital periphery, including two CPUs with SIMD extensions. Each ASIC is connected to a Node-FPGA, providing experiment control and Ethernet connectivity. This work details the scaling of the compute substrate through FPGA-based interconnection vi... |
math/e93e0043_10154.txt | A regular lattice occurs when areas are structured as a matrix in rows and columns. It is often the case that spatial data is in a regular lattice as a result of an experimental design or data collection structure. For example, a regular lattice is a convenient way of modeling a count process, so that the study region ... |
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math/1475_cf8b9e0971c96393_186.txt | combination (selection, unordered arrangement) Any set of items selected from a given set of items without regard to their order is called a combination. Repetition of choices is not permitted. For example, there are six distinct combinations of two letters selected from the sequence A,B,C,D, namely: AB, AC, AD, BC, BD... |
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math/1866757_3d2a0cb181bd7e3a_66.txt | But a weaker statement is perhaps true. The directions of the vectors *Qn(x)* sweep out certain cones C, or solid angles in space in such a fashion that the time averages, i.e., the time spent by *Qn(x)* in C, exist for n -— oo. These time averages may depend on the initial *2* but are able to assume only a finite numb... |
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math/74626d4d_4724.txt | Transformer-based Large Language Models (LLMs) can be significantly improved by removing higher-order components from their multi-layer perception layers, leading to dramatic performance boosts in question-answering tasks and various modalities. Abstract: Transformer-based Large Language Models (LLMs) have become a fix... |
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math/2710_db9c0f2f4b6f960d_1336.txt | Abstract Much of quantum mechanics may be derived if one adopts a very strong form of Mach's Principle, requiring that in the absence of mass, space-time becomes not flat but stochastic. This is manifested in the metric tensor which is considered to be a collection of stochastic variables. The stochastic metric assumpt... |
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math/25111_dd79e43f58faa350_249.txt | Revising probabilities when new information is obtained is an important aspect of probability analysis. Often, we begin the analysis with initial or prior probability estimates for specific events of interest. Then, from sources such as a sample survey or a product test, we obtain additional information about the event... |
math/55b59e3f_150593.txt | Let s calculate the length of an arc two ways: using our formula and using numerical integration. Note that the Python implementation of the (complete) elliptic integral is ellipe and the implementation of the incomplete elliptic integral is ellipeinc. The e at the end of ellipe distinguishes this elliptic integral, ... |
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math/2710_db9c0f2f4b6f960d_664.txt | Deep-learning models estimate values using backpropagation. The activation function within hidden layers is a critical component to minimizing loss in deep neural-networks. Rectified Linear (ReLU) has been the dominant activation function for the past decade. Swish and Mish are newer activation functions that have show... |
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math/3818919_f6c8c5d8e5ff2341_44.txt | Here we study the following broad question: For a given property *P*, can we *characterize* the sample complexity of testing *P* as a function of all relevant problem parameters, including the error probability δ? Prior to this work, uniformity testing was the only statistical task whose sample complexity had been char... |
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math/59738_7aa25374679ff4a0_9.txt | What if they seem to treat strangers better than you. My husband is super polite, helpful, and compliments others often, but doesn’t do that with me…ouch! It really does feel like emotional rape. When you realize how kind and loving they can be with another woman and in the same night emotional and verbally abuse you, ... |
math/2247940_99915aacaac16ebe_271.txt | Access to private finance can support infrastructure development through private provisioning, public–private partnerships (PPP) and public debt arrangements (high confidence) (see also Section 6.4.1.2). Private provisioning attracts coastal adaptation investment when returns are high (e.g., when there is a real estate... |
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math/123b7009_148079.txt | Self-similarity has important consequences for the design of computer networks, as typical network traffic has self-similar properties. For example, in teletraffic engineering , packet switched data traffic patterns seem to be statistically self-similar. 9 This property means that simple models using a Poisson dist... |
math/20588937_4849.txt | Convolutions are just simple linear operations Why bother with this and not just say it is a linear layer with small receptive field? Why are we bothering with all this mathematical formulation of what a convolution is, as well as describing the relationship between the convolution and cross-correlation? There is a dua... |
math/2710_db9c0f2f4b6f960d_1511.txt | Sakaton, S=p,n,Λ with integral charges, 1,0,0, respectively, and treated as forming the fundamental representation of SU(3) group, was successful in explaining the octet mesons but failed to describe the structure of baryons. This was replaced by fractionally charged quarks. Q=u,d,s providing the fundamental representa... |
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math/3742825_d4655b6808b69bdd_1449.txt | Distributional shifts between training and target domains may degrade the prediction accuracy of learned models, mainly because these models often learn features that possess only correlation rather than causal relation with the output. Such a correlation, which is known as ``spurious correlation'' statistically, is do... |
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math/107483_db9c0f2f4b6f960d_2140.txt | Extraordinary mathematicality of physics is also shown by dimensionlessness of Planck spacetime and mass. At the same time the Planck granularity of spacetime also shows that physics can be simulated by a binary computer. So physics is informational. But mathematics is not everything in physics, consciousness cannot be... |
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math/735679_7f4ecb22a28da440_205.txt | The presence of the lipids in the membrane structure of a cell is vital for the cell especially affecting its fluidity. As addressed in the section below, this is necessary to allow things to flow in and out of the cell. One factor that plays a big role in this is cholesterol as shown below. Another one is the presence... |
math/2825922_2169835fbed02b9b_34.txt | Is the circle the only d curve of constant width? Most people would say yes, thus providing a sterling example of how far one’s math¬ ematical intuition can go astray. Actually there is an infinity of such curves. Any one of them can be the cross section of a roller that will roll a platform as smoothly as a circular c... |
math/3742825_029af0a44731fcc2_616.txt | Large language models (LLMs) have shown great promise in automating data science workflows, but existing models still struggle with multi-step reasoning and tool use, which limits their effectiveness on complex data analysis tasks. To address this, we propose a scalable pipeline that extracts high-quality, tool-based d... |
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math/1125087_e26caa74eb27f4da_74.txt | The ability to comprehend audio—which includes speech, non-speech sounds, and music—is crucial for AI agents to interact effectively with the world. We present MMAU, a novel benchmark designed to evaluate multimodal audio understanding models on tasks requiring expert-level knowledge and complex reasoning. MMAU compris... |
math/3030191_178754fff311c8b6_73.txt | Which models are the most reliable? Well, obviously, the models that come from hard science and engineering are the most reliable models on this earth. And engineering quality control—at least the guts of it that matters to you and me and people who are not professional engineers—is very much based on the elementary ma... |
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math/92171_66f50856c50fe99e_160.txt | We obtain the first positive results for bounded sample compression in the agnostic regression setting with the $\ell\_p$ loss, where $p\in [1,\infty]$. We construct a generic approximate sample compression scheme for real-valued function classes exhibiting exponential size in the fat-shattering dimension but independe... |
math/4922055_dcd4406d5f48241d_115.txt | And I will thank you to keep Daniel out of it as well.” Fatio had turned red. “The only thing I wish to snare is a clearer understanding of what has passed between you and Isaac.” “You want to know if you have a rival.” Fatio said nothing. “The answer is: you do not.” “That is well.” “You do not have a rival, Fatio. Bu... |
math/3742825_d4655b6808b69bdd_1595.txt | Neural SDEs combine many of the best qualities of both RNNs and SDEs, and as such are a natural choice for modelling many types of temporal dynamics. They offer memory efficiency, high-capacity function approximation, and strong priors on model space. Neural SDEs may be trained as VAEs or as GANs; in either case it is ... |
math/3742825_d4655b6808b69bdd_700.txt | Recent years have witnessed an upsurge of interest in employing flexible machine learning models for instrumental variable (IV) regression, but the development of uncertainty quantification methodology is still lacking. In this work we present a scalable quasi-Bayesian procedure for IV regression, building upon the rec... |
math/107483_db9c0f2f4b6f960d_1696.txt | Quantum modification of general relativity (Qmoger) is supported by cosmic data (without fitting). Qmoger equations consist of Einstein equations with two additional terms responsible for production/absorption of matter. In Qmoger cosmology there was no Big Bang and matter is continuously producing by the Vacuum. Parti... |
math/1125087_e26caa74eb27f4da_126.txt | Generative models see increasing use in computer-aided drug design. However, while performing well at capturing distributions of molecular motifs, they often produce synthetically inaccessible molecules. To address this, we introduce SynFlowNet, a GFlowNet model whose action space uses chemical reactions and buyable re... |
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math/3742825_d4655b6808b69bdd_1820.txt | Recently many algorithms were devised for reinforcement learning (RL) with function approximation. While they have clear algorithmic distinctions, they also have many implementation differences that are algorithm-independent and sometimes under-emphasized. Such mixing of algorithmic novelty and implementation craftsman... |
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math/92171_e26caa74eb27f4da_267.txt | The dominant paradigm for learning on graphs is message passing. Despite being a strong inductive bias, the local message passing mechanism faces challenges such as over-smoothing, over-squashing, and limited expressivity. To address these issues, we introduce Bundle Neural Networks (BuNNs), a novel graph neural networ... |
math/735679_1f76cca408c18bd5_11.txt | these patterns the eye is naturally drawn to the shaded hollows between the ridges, but if you look at the vertices you’ll see the pattern’s spiral basis. Figure 5(a) is a fancy version of a spiral pattern based on a hexagonal grid; Figure 3(a) and (b) use simple spirals, also from hexagons. Interestingly, an alternati... |
math/2407659_ed120fe322999def_554.txt | Freeze drying (also called ‘freeze dehydration’) is an important drying technique especially suitable for food materials. Since drying occurs at subzero temperature, there is no risk of product degradation and possibly a loss of flavour and aroma. Besides, the texture of the material remains intact making it more accep... |
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math/1373806_4c39b2553c7c2a0e_171.txt | Magic is a wide field of study comprising spirituality, mysticism, paranormal events, the occult, and other unexplained phenomena. This course aims to (re-)materialize magic and to anchor it in the physical objects that have played an indispensable role in the practice and performance of ceremonies and rituals from Pre... |
math/3742825_d4655b6808b69bdd_71.txt | We challenge a common assumption underlying most supervised deep learning: that a model makes a prediction depending only on its parameters and the features of a single input. To this end, we introduce a general-purpose deep learning architecture that takes as input the entire dataset instead of processing one datapoin... |
math/59738_1525ece966560489_78.txt | Chinese firms are also looking at innovative ways to incorporate automation, robotics, and 3D printing within CNC machines; however, with less than 20 high-end CNC machine producers in China, advanced countries such as Japan and Germany have been able to easily outpace China in terms of the R&D of novel machine tools. ... |
math/2825922_fdb7b48aaf6e43d3_3607.txt | natural environment and cultural heritage. As a result air force 1 high, she said.. Instacart announced today that it's introducing a revamped customer ratings system that is designed to be more informative and fair for shoppers on its platform. The company will now remove a rating if it's from a customer who consisten... |
math/2853639_b9fcd86c2dbe2dbc_148.txt | so that the partial sums of F are unbounded at the origin. The function F (x) can be translated to obtain a function F (x−r) whose Fourier series diverges at a specified point r. Then by forming a suitable weighted sum of the functions F (x − rk ) corresponding to an arbitrary sequence rk , we can construct a continuous... |
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math/2486718_1763b656bcc13e24_78.txt | Abraham **De Moivre** (1667-1754) France, England -- [ #175 (tied) ] > De Moivre was an important pioneer of analytic geometry > and especially probability theory. > (Although introduced by earlier mathematicians like Cardano and Fermat, > de Moivre and Laplace are regarded as the two most important early > deve... |
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math/353276_d0fe46e444a903da_32.txt | For convenience in this example, we will refer to hyperbolic surfaces (curvature \(-1\)) of genus one with one boundary component as hyperbolic tori. We construct a family \(\Omega \_{\epsilon },\ 0<\epsilon <\frac{1}{2}\), of hyperbolic tori with the following properties: The boundary \(\Sigma \_{\epsilon }\) of \(\Om... |
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math/42d9af14_10398.txt | (Mixed Steklov–Neumann and Steklov–Dirichlet eigenvalues of cylinders) (i) Let \(C_L\) be the cylinder in Example 2.2. Consider the mixed problem on \(C_L\) with Steklov condition at \(t=0\) and Neumann condition at \(t=L\): $$\begin{aligned}{} & {} \Delta f=0\hbox { in } {C_L},\\{} & {} \partial _\nu f=\sigma f\hbox {... |
math/3742825_779b338e20a5153b_198.txt | **Abstract:** Proper vertex colorings of a graph are related to its boundary map, also called its signed vertex-edge incidence matrix. The vertex Laplacian of a graph, a natural extension of the boundary map, leads us to introduce nowhere-harmonic colorings and analogues of the chromatic polynomial and Stanley's theore... |
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