Two recent papers proved that complex index pairings can be calculated as the half-signature of a finite dimensional matrix, called the spectral localizer. This paper contains a new proof of this connection for even index pairings based on a spectral...
Odd index pairings of $K_1$-group elements with Fredholm modules are of relevance in index theory, differential geometry and applications such as to topological insulators. For the concrete setting of operators on a Hilbert space over a lattice, it i...
In one of the fundamental results of Arakelov's arithmetic intersection theory, Faltings and Hriljac (independently) proved the Hodge Index Theorem for arithmetic surfaces by relating the intersection pairing to the negative of the Néron-Tate height...
Real-time charts for major world stock market indices including the latest price, daily high, low and percentage changes across each index.
Real-time charts for major world stock market indices including the latest price, daily high, low and percentage changes across each index.
Get the latest real-time quotes, historical performance, charts, and other stock market data across major world indexes.
Yahoo Finance's complete list of world stock indexes offers up-to-the-minute points and percentage change, volume, intraday highs and lows, 52 week range, and day charts.
distinction is made between the great span or full span (thumb to little finger) and little span or short span (thumb to index finger, or index finger
Assembly theory (AT) quantifies selection using the assembly equation and identifies complex objects that occur in abundance based on two measurements, assembly index and copy number, where the assembly index is the minimum number of joining operatio...
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The fifth generation (5G) wireless communications brag both high spectrum efficiency and high energy efficiency. To meet the requirements, various new techniques have been proposed. Among these, the recently-emerging index modulation has attracted si...
I hadn’t seen any unified index for what areas could be considered “urbanist,” so I wanted to take a stab at it. Uploaded is what it looks like for the ten largest MSAs. Basically I combined po...
The index finger (also referred to as forefinger, first finger, second finger, pointer finger, trigger finger, digitus secundus, digitus II, and many
Mar 1, 2025 · but nothing changed - every new created index is unassigned and have replicas count 1
We study the problem of defining maps on link Floer homology induced by unoriented link cobordisms. We provide a natural notion of link cobordism, disoriented link cobordism, which tracks the motion of index zero and index three critical points. Then...
The index of refraction governs the flow of light through materials. At visible and near infrared wavelengths the real part of the refractive index is limited to less than 3 for naturally occurring transparent materials, fundamentally restricting app...
This study presents a prospective concept of a mechanically reconfigurable Gradient Index (GRIN) lens for focusing and beamforming applications. The lens is formed by corrugated layers, each realizing a refractive index profile expressed in a basis o...
Dec 1, 2024 · Explore global research excellence with Nature Index. Track high-quality scientific outputs, benchmark institutions, and discover leading collaborations across disciplines and regions.
We identify a partition-theoretic generalization of Riemann zeta function and the equally positive integer-indexed harmonic sums at infinity, to obtain the generating function and the integral representations of the latter. The special cases coincide...
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