We restrict geometric tangential equivariant complex $T^n$-bordism to torus manifolds and provide a complete combinatorial description of the appropriate non-commutative ring. We discover, using equivariant $K$-theory characteristic numbers, that the...
Metropol İstanbul is a mixed-use skyscraper complex in Ertuğrul in the Ataşehir district on the Asian side of Istanbul, Turkey. The complex consists of
This chapter does not deal with specific tools and techniques for managing complex systems, but proposes some basic concepts that help us to think and speak about complexity. We review classical thinking and its intrinsic drawbacks when dealing wit...
We introduce a new function on the set of pairs of cluster variables via $f$-vectors, which we call it the compatibility degree (of cluster complexes). The compatibility degree is a natural generalization of the classical compatibility degree introdu...
The initial non-repetitive complexity function of an infinite word x (first defined by Moothathu) is the function of n that counts the number of distinct factors of length n that appear at the beginning of x prior to the first repetition of a length-...
Bone structure in mammals involves a complex network of channels (Havers and Volkmann channels) required to nourish the bone marrow cells. This work describes how three-dimensional reconstructions of such systems can be obtained and represented in...
We classify the computational complexity of the popular video games Portal and Portal 2. We isolate individual mechanics of the game and prove NP-hardness, PSPACE-completeness, or (pseudo)polynomiality depending on the specific game mechanics allowed...
Aug 28, 2024 · A sentence is a complete idea with a subject and a verb, starting with a capital letter. There are four main sentence structures: simple, compound, complex, and compound-complex …
In this paper, we are discussing the effect of the use of magnetic compasses on the orientation of ancient Chinese architectonical complexes. As Czech researchers proposed in 2011, assuming these complexes ideally oriented by the ancient architects a...
We prove by induction on dimension the Hodge conjecture for smooth complex projective varieties. Let $X$ be a smooth complex projective variety. Then $X$ is birational to a possibly singular projective hypersurface, hence to a smooth projective varie...
We study the complexity of the problem DETECTION PAIR. A detection pair of a graph $G$ is a pair $(W,L)$ of sets of detectors with $W\subseteq V(G)$, the watchers, and $L\subseteq V(G)$, the listeners, such that for every pair $u,v$ of vertices that...
We introduce a universal evolution equation for elastic scattering of hadrons, derived from Regge field theory (RFT) and solved in closed analytical form. The equation emerges from a complex logistic structure and evolves initial amplitude profiles t...
The Mandelbrot set (/ˈmændəlbroʊt, -brɒt/) is a two-dimensional set that is defined in the complex plane as the complex numbers c {\displaystyle c} for
The vertebrate motor system employs dimensionality-reducing strategies to limit the complexity of movement coordination, for efficient motor control. But when environments are dense with hidden action-outcome contingencies, movement complexity can pr...
No description (⭐ 6)
Even more interesting than the intricate organization of complex networks are the dynamical behavior of systems which such structures underly. Among the many types of dynamics, one particularly interesting category involves the evolution of trails...
We construct a nontrivial cyclic cocycle on the Weyl algebra of a symplectic vector space. Using this cyclic cocycle we construct an explicit, local, quasi-isomorphism from the complex of differential forms on a symplectic manifold to the complex o...
How does the input segmentation of pretrained language models (PLMs) affect their interpretations of complex words? We present the first study investigating this question, taking BERT as the example PLM and focusing on its semantic representations of...
General matrix-matrix multiplications with double-precision real and complex entries (DGEMM and ZGEMM) in vendor-supplied BLAS libraries are best optimized for square matrices but often show bad performance for tall & skinny matrices, which are much...
Points: 260 | Comments: 256 | Author: ScottWRobinson
We have extended our earlier work on space weathering of the youngest S-complex asteroid families to include results from asteroid clusters with ages <10^6 years and to newly identified asteroid pairs with ages <5x10^5 years. We have identified thr...
This paper investigates reduced complexity neural network (NN) based architectures for equalization over the two-dimension magnetic recording (TDMR) digital communication channel for data storage. We use realistic waveforms measured from a hard disk...
In modern advanced emergency management systems many solutions for decision support have been provided as attempts to support humans to take important decisions for the critical situations recovery. The critical situation detection is a complex proce...
The Grundy number of a graph is the maximum number of colors used by the greedy coloring algorithm over all vertex orderings. In this paper, we study the computational complexity of GRUNDY COLORING, the problem of determining whether a given graph ha...
There is a growing understanding that transport properties of complex oxides and individual molecules are dominated by polaron physics. In superconducting oxides the long-range Froehlich and short-range Jahn-Teller electron-phonon interactions bind...
The set disjointness problem is one of the most fundamental and well-studied problems in communication complexity. In this problem Alice and Bob hold sets $S, T \subseteq [n]$, respectively, and the goal is to decide if $S \cap T = \emptyset$. Reduct...
NetworkDynamics.jl is an easy-to-use and computationally efficient package for working with heterogeneous dynamical systems on complex networks, written in Julia, a high-level, high-performance, dynamic programming language. By combining state of the...
In this paper, we investigate the linear controllability framework for complex networks from a physical point of view. There are three main results. (1) If one applies control signals as determined from the structural controllability theory, there is...
[uncountable] the state or condition of being complex: the complexity of the human mind. [countable] something that is complex: The complexities of modern life were too much for him.
This paper is devoted to the complexity of the Boolean satisfiability problem. We consider a version of this problem, where the Boolean formula is specified in the conjunctive normal form. We prove an unexpected result that the CNF-satisfiability pro...
complexity, n. meanings, etymology, pronunciation and more in the Oxford English Dictionary
We compare phase transition and critical phenomena of bond percolation on Euclidean lattices, nonamenable graphs, and complex networks. On a Euclidean lattice, percolation shows a phase transition between the nonpercolating phase and percolating phas...
Integrative complexity is a research psychometric that refers to the degree to which thinking and reasoning involve the recognition and integration of
com•plex•i•ty (kəmˈplɛk sɪ ti) n., pl. -ties. 1. the state or quality of being complex; intricacy: the complexity of urban life. 2. something complex: the complexities of foreign policy.
COMPLEXITY meaning: 1. the state of having many parts and being difficult to understand or find an answer to: 2. the…. Learn more.
For the last decade, Japan held the undisputed top spot in the **Economic Complexity Index (ECI)**. But according to the latest data from the OEC, the crown has officially shifted: **Taiwan is now t...
Definition of complexity noun from the Oxford Advanced Learner's Dictionary. [uncountable] the state of being formed of many parts; the state of being difficult to understand. I was astonished by the size …
A refreshingly simple static site generator, for those who like to work in HTML. (⭐ 117)
Source https://growthlab.hks.harvard.edu/news/atlas-economic-complexity-100-brings-new-data-and-product-space-design/...
Jan 31, 2026 · Complexity refers to a scientific theory that asserts that some systems display behavioral phenomena that are inexplicable by conventional explanations or analysis of its individual parts.