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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stable commutator length and linear programming
换向器长度 线性规划 曲面 拓扑优化
2023/4/18
Several topological optimization problems involving surfaces can be turned into linear programming problems. In the case of stable commutator length, this was first discovered by Danny Calegari in the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Topological optimization and the stable commutator length
拓扑优化 稳定换向器 长度
2023/4/19
It is a relatively recent discovery in geometric topology that optimization problems of certain topological complexity are connected to important geometric and topological information. One example is ...
Evaluation of gestation length and birth weight of offspring of Polish native cattle breeds in context of estimating genetic parameters
pregnancy birth body weight heritability native breed
2018/11/23
Research material included data on gestation length of 15 436 cows of Polish native breeds. These were: White Backed (BG; 324 records), Polish Red (RP; 5396 records), Polish Black and White (ZB; 3508 ...
THERMAL EFFECTS ON CAMERA FOCAL LENGTH IN MESSENGER STAR CALIBRATION AND ORBITAL IMAGING
Mercury, MESSENGER, MDIS Camera Digital Terrain Models
2018/5/11
We analyse images taken by the MErcury Surface, Space ENviorment, GEochemistry, and Ranging (MESSENGER) spacecraft for the camera’s thermal response in the harsh thermal environment near Mercury. Spec...
Small-quantity, lipid-based nutrient supplements provided to women during pregnancy and 6 mo postpartum and to their infants from 6 mo of age increase the mean attained length of 18-mo-old children in semi-urban Ghana: a randomized controlled trial
lipid-based nutrient supplements child growth home fortification multiple micronutrients supplementation
2018/12/14
Background: Childhood stunting usually begins in utero and continues after birth; therefore, its reduction must involve actions across different stages of early life.
Leukocyte telomere length is related to appendicular lean mass: cross-sectional data from the Berlin Aging Study II (BASE-II)
appendicular lean mass BASE-II leukocytes muscle mass sarcopenia telomere length
2018/11/23
Background: Age-related progressive loss of muscle mass is an increasing problem in our aging society, affecting physical ability, risk of falls, and need for health care. Telomere length has been rec...
Estimator for Number of Sources using Minimum Description Length Criterion for Blind Sparse Source Mixtures
Minimum Description Length Criterion Blind Sparse Source Mixtures
2015/9/29
In this paper I present a Minimum Description Length Estimator for number of sources in an anechoic mixture of sparse signals.The criterion is roughly equal to the sum of negative normalized maximum l...
The filling length of an edge-circuit \eta in the Cayley 2-complex of a finite presentation of a group is the minimal integer length L such that there is a combinatorial null-homotopy of \eta down to ...
The gallery length filling function and a geometric inequality for filling length
filling length filling function
2015/8/26
We exploit duality considerations in the study of singular combinatorial 2-discs ("diagrams") and are led to the following innovations concerning the geometry of the word problem for finite presentati...
How to Find Good Finite-Length Codes: From Art Towards Science
LDPC coding transmission binary probability
2015/8/21
We explain how to optimize finite-length LDPC codes for transmission over the binary erasure channel. Our approach relies on an analytic approximation of the erasure probability. This is in turn...
FINITE-LENGTH SCALING FOR ITERATIVELY DECODED LDPC ENSEMBLES
low-density parity-check codes iterative decoding density evolution binary erasure channel finite-length analysis error probability curve
2015/8/21
In this paper we investigate the behavior of iteratively decoded low-density paritycheck codes over the binary erasure channel in the so-called “waterfall region.” We show that the performance curves ...
Correlated Local Bending of a DNA Double Helix and Its Effect on DNA Flexibility in the Sub-Persistence-Length Regime
Correlated Local Bending a DNA Double Helix Effect on DNA Flexibility Sub-Persistence-Length Regime
2014/9/24
Mechanical characteristics of DNA in the sub-persistence-length (lP ≈150 base pairs) regime are vital to many of its biological functions but not well understood. Recent experimental studies in this r...
Ordered Partitions Avoiding a Permutation Pattern of Length 3
pattern avoidance ordered partition descent
2014/6/3
An ordered partition of [n]={1, 2,..., n} is a partition whose blocks are endowed with a linear order. Let OPn,k be set of ordered partitions of [n] with k blocks and OPn,k(σ) be set of ordered partit...
The roles of productivity and ecosystem size in determining food chain length in tropical terrestrial ecosystems
ecosystem size food chain length food web structure islands
2015/11/13
Many different drivers, including productivity, ecosystem size, and disturbance,
have been considered to explain natural variation in the length of food chains. Much remains
unknown about the role o...
q-Hook Length Formulas for Signed Labeled Forests
statistic forest q-hook length formula Coxeter groups of types B and D (P w)-partition
2014/6/3
A signed labeled forest is defined as a (plane) forest labeled by {1, 2,..., n} along with minus signs associated to some vertices. Signed labeled forests can be viewed as an extension of signed permu...