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PAC-Bayes Guarantees for Data-Adaptive Pairwise Learning. [PDF]

Entropy (Basel)
Zhou S, Lei Y, Kabán A.
europepmc   +1 more source

Large‐Area 2D Metasurface‐Based Triboelectric E‐Skin Arrays: Contact & Proximity Tactile Mapping with Broadband Acoustic Readouts

Advanced Materials, EarlyView.
Metasurface‐engineered NC‐TENG arrays integrate tactile pressure mapping, non‐contact gesture sensing, and acoustic signal readouts in one ultrathin module, and outperforms pristine PDMS in terms of electrical output and real‐time spatial mapping for next‐gen wearables.
Injamamul Arief, Swagato Sarkar, Anik Kumar Ghosh, Osvalds Verners, Kamal Kumar Meena, Su‐Hyeong Lee, Soosang Chae, Tobias A. F. König, Beate Krause, Andreas Fery, Mehmet Sait Özer, Anindya Nag, Amit Das   +12 more
wiley   +1 more source

Canonicalizing Zeta Generators: Genus Zero and Genus One. [PDF]

Commun Math Phys
Dorigoni D, Doroudiani M, Drewitt J, Hidding M, Kleinschmidt A, Schlotterer O, Schneps L, Verbeek B.   +7 more
europepmc   +1 more source

Diffracted X-ray blinking reveals signature crystal polymorph dynamics in 1,2,3,5-Tetrabromobenzene. [PDF]

Sci Rep
McGehee K, Saito K, Fukaya R, Haruki R, Nozawa S, Gao M, Sasaki YC, Mio K, Norikane Y.   +8 more
europepmc   +1 more source

An Ecological Definition and Objective Threshold for Differentiating Small Fragments. [PDF]

Ecol Evol
Deane DC, Hui C, McGeoch M.
europepmc   +1 more source

Para-Markov chains and related non-local equations. [PDF]

Fract Calc Appl Anal
Facciaroni L, Ricciuti C, Scalas E, Toaldo B.   +3 more
europepmc   +1 more source

Hierarchical modelling of variance components makes analysis of resolvable incomplete block designs more efficient. [PDF]

Theor Appl Genet
Studnicki M, Piepho HP.
europepmc   +1 more source

Motion of Quantum Particles in Terms of Probabilities of Paths. [PDF]

Entropy (Basel)
Santos E.
europepmc   +1 more source

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On the Sixth Power Mean of the Two-term Exponential Sums

Acta Mathematica Sinica, English Series, 2022
The article is devoted to the calculation problem of the sixth power mean of the two-term exponential sums. The main result is the following theorem. Let \(p>3\) be a prime and \(n\) be an integer. Then we have the identity \[ \sum_{m=1}^{p-1}\left|\sum_{a=0}^{p-1} e\left(\frac{m a^3+n a}{p}\right)\right|^6= \begin{cases}5 p^3 \cdot(p-1), & \text { if }
Wen Peng Zhang
exaly   +3 more sources