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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fairness Criteria for Allocating Indivisible Chores: Connections and Efficiencies
分配 不可分割杂务 公平标准
2023/4/14
We study several fairness notions in allocating indivisible chores (i.e., items with non-positive utilities) to agents, who have additive and submodular cost functions. The fairness criteria we are co...
Sparse, small, but diverse neural connections help make perception reliable, efficient（图）
神经连接 丘脑输入 视觉皮层神经元 脑科学
2023/6/5
The brain’s cerebral cortex produces perception based on the sensory information it’s fed through a region called the thalamus.
More than 100 Cornell researchers from Cornell's Ithaca campus and Weill Cornell Medicine gathered for a two-day workshop in mid-October to discuss structural biology, which encompasses research explo...
What’s the link between social life and brain structure? Researchers from the University of Pennsylvania, the Stem Cell and Brain Research Institute at Inserm, and elsewhere are now one step closer to...
NSF EPSCoR awards new projects to help understand connections between genes and organisms' characteristics（图）
NSF EPSCoR new projects connections between genes and organisms' characteristics
2017/9/4
The National Science Foundation (NSF) has made eight awards totaling $41.7 million for projects aimed at building capacity to research a national priority area: understanding the relationship in organ...
GALOIS CONNECTIONS FOR INCIDENCE HOPF ALGEBRAS OF PARTIALLY ORDERED SETS.
Incidence Hopf algebras Galois connections
2015/8/14
An important well-known result of Rota describes the relationship between the M¨obius
functions of two posets related by a Galois connection. We present an analogous result relating
the antipodes of...
UNIVERSAL POISSON AND NORMAL LIMIT THEOREMS IN GRAPH COLORING PROBLEMS WITH CONNECTIONS TO EXTREMAL COMBINATORICS
Limit theorem the monochromatic edge evenly random colors random graph
2015/7/7
This paper proves limit theorems for the number of monochromatic edges in uniform random colorings of general random graphs. The limit theorems are universal depending solely on the limiting behavior ...
Motion,Commotion,and Biophysical Connections at Deep Ocean Seamounts
Motion Commotion Biophysical Connections Deep Ocean Seamounts
2015/7/7
Seamounts attract the attention of physical oceanographers for a variety of reasons: seamounts play a special role in ocean biology; they may be hydrothermally and magmatically active and thereby feed...
Making connections to the big ideas in mathematics: Promoting proportional reasoning
big ideas mathematics
2015/5/29
The focus of this paper is on
proportional reasoning, emphasising
its pervasiveness throughout the
mathematics curriculum, but also
highlighting its elusiveness.
Invariant tensors related with natural connections for a class Riemannian product manifolds
Invariant tensors natural connections class Riemannian product manifolds Differential Geometry
2012/6/29
Some invariant tensors in two Naveira classes of Riemannian product manifolds are considered. These tensors are related with natural connections, i.e. linear connections preserving the Riemannian metr...
An obstructions to Non-negative curvature on Bundles with Pull-back connections
nonegative sectional curvature riemannian submersions exotic spheres
2012/6/30
Motivated to study the geometry of the exotic spheres constructed in [5], we derive a necessary condition for non-negative sectional curvature in certain total spaces of Riemannian submersions with to...
Adapted connections on metric contact manifolds
Adapted connections metric contact manifolds Differential Geometry
2012/4/16
In this paper, we describe the space of adapted connections on a metric contact manifold through the space of their torsion tensors. The torsion tensor is an element of the space of TM-valued two-form...
Yang-Mills connections of cohomogeneity one on SO(n)-bundles over Euclidean spheres
Yang-Mills connections of cohomogeneity one SO(n)-bundles Euclidean spheres Differential Geometry
2011/9/23
Abstract: We construct Yang-Mills connections on SO(n)-bundles over spheres equipped with the Euclidean metric. We use a cohomogeneity one group action on the bundle to reduce the Yang-Mills-equation ...
On invariants of almost symplectic connections
almost symplectic linear connection torsion quadratic invariant
2011/8/31
Abstract: We study the irreducible decomposition under Sp(2n, R) of the space of torsion tensors of almost symplectic connections. Then a description of all symplectic quadratic invariants of torsion-...
The entropy functional, the information path functional's essentials and their connections to Kolmogorov's entropy, complexity and physics
Additive functional Entropy Singularities Natural Border Problem Invariant
2011/8/31
Abstract: The paper introduces the recent results related to an entropy functional on trajectories of a controlled diffusion process, and the information path functional (IPF), analyzing their connect...