A5080636386- Finite Group Theory Research
- Digital Accessibility for Disabilities
- Algebraic Geometry and Number Theory
- Advanced Topics in Algebra
- Advanced Algebra and Geometry
- graph theory and CDMA systems
- Advanced Combinatorial Mathematics
- Disability Education and Employment
- Algebraic structures and combinatorial models
- Evolutionary Algorithms and Applications
- Advanced Text Analysis Techniques
- Commutative Algebra and Its Applications
- Limits and Structures in Graph Theory
- Historical Art and Architecture Studies
- Library Science and Administration
- Archaeology and Natural History
- Rings, Modules, and Algebras
- Cryptography and Residue Arithmetic
- Mathematical Dynamics and Fractals
- advanced mathematical theories
- Consumer Behavior in Brand Consumption and Identification
- Information Science and Libraries
- Coding theory and cryptography
- Genomics and Phylogenetic Studies
- Computational and Text Analysis Methods
Northeastern University
2021
Broad Institute
2021
Microsoft Research (United Kingdom)
2017-2019
CCI Reprographics (United States)
2003-2017
University of California, Davis
2016
American University of Beirut
2016
University of Southern California
2006
University of California, San Diego
2006
Institute For Defense Analyses
2006
Rice University
2006
Abstract Stochastic simulation is a key tool in population genetics, since the models involved are often analytically intractable and usually only way of obtaining ground-truth data to evaluate inferences. Because this, large number specialized programs have been developed, each filling particular niche, but with largely overlapping functionality substantial duplication effort. Here, we introduce msprime version 1.0, which efficiently implements ancestry mutation simulations based on...
Nonphotorealistic rendering (NPR) can help make comprehensible but simple pictures of complicated objects by employing an economy line. But current nonphotorealistic is primarily a batch process. This paper presents real-time renderer that deliberately trades accuracy and detail for speed. Our uses method determining visible lines surfaces which modification Appel’s hidden-line algorithm, with improvements are based on the topology singular maps surface into plane. The we describe visibility...
We present Eagle (RWKV-5) and Finch (RWKV-6), sequence models improving upon the RWKV (RWKV-4) architecture. Our architectural design advancements include multi-headed matrix-valued states a dynamic recurrence mechanism that improve expressivity while maintaining inference efficiency characteristics of RNNs. introduce new multilingual corpus with 1.12 trillion tokens fast tokenizer based on greedy matching for enhanced multilinguality. trained four models, ranging from 0.46 to 7.5 billion...
We introduce GoldFinch, a hybrid Linear Attention/Transformer sequence model that uses new technique to efficiently generate highly compressed and reusable KV-Cache in linear time space with respect length. GoldFinch stacks our GOLD transformer on top of an enhanced version the Finch (RWKV-6) architecture. train up 1.5B parameter class models Finch, Llama, architectures, find dramatically improved modeling performance relative both Llama. Our cache size savings increase linearly layer count,...
Let p be a prime.We characterize those finite groups which have precisely one irreducible character of degree divisible by p.Minimal situations constitute classical theme in group theory.Not only do they arise naturally, but also provide valuable hints searching for general patterns.In this paper, we are concerned with degrees.One the key results on degrees is Itô-Michler theorem, asserts that prime does not divide any complex G if and has normal, abelian Sylow p-subgroup.In [Isaacs et al....
The new BSc in international health at Leeds was created as a direct result of pressure from students and members MedSIN (Medical Students International Network). We felt that conventional intercalated bachelors degrees didn't cover the issues were interest importance to us. also convinced many other would be interested such course. We first met with Rhys Williams, …
If $f$ is a nonzero complex-valued function defined on finite abelian group $A$ and $\hat f$ its Fourier transform, then $|\operatorname {supp}(f)||\operatorname {supp}({\hat f})| \ge |A|$, where $\operatorname {supp}(f)$ f})$ are the supports of f$. In this paper we generalize known result in several directions. particular, prove an analogous inequality replaced by transitive right $G$-set, $G$ arbitrary group. We obtain stronger inequalities when $G$-set primitive, determine primitive...
We characterize the inversion invariant additive subgroups of any field, and, more generally, those a division ring (apart from rings characteristic 2).We also show how classical identity Hua provides bridge between this problem and Jordan algebras.Answering question Dan Mauldin, we in note field.We Section 2 that aside case imperfect fields 2, nonzero subgroup is either subfield or set trace-zero elements with respect to an automorphism order 2. A key ingredient proof simple, Hua, through...
Let R be a complete discrete valuation ring with finite residue field, and let rn the probability that random monic polynomial over of degree n factors into linear factors. We study in detail. Among other things, we show satisfies an interesting recursion, make conjecture on asymptotic behavior as goes to infinity, prove case field has two elements.
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Abstract Let A and B be finitely generated profinite groups. If G is isomorphic to × , then any short exact sequence 1 → splits as a direct product.
Let A be a central simple algebra over number field K whose ring of integers is R. An outlier an element r R so that: reduced norm A, but not the algebraic integer in A. We study properties and distribution outliers. end with structure theorem about products super singular elliptic curves GF(p).
For $n$ a positive integer, we show that the number of $2n$-tuples integers are row and column sums some $n\times n$ matrix with entries in $\{0,1\}$ is evenly divisible by $n+1$. This confirms conjecture Benton, Snow, Wallach. We also consider $q$-analogue for $m\times matrices. give an efficient recursion formula this analogue. prove divisibility result context implies $n+1$ result.
Digital metadata embedded into Full Motion Video (FMV) generated by Airborne ISR (AISR) platforms provides extensive data about missions, aircraft and operations. In this paper, we analyze 80 AISR over a week period to better understand what type of is generated, how often it's sent, it meets standards. Metadata analysis results show implement differently, following multiple standards, transmitting at wide-ranging rates sending varying set information, sometimes not according specifications....