826 research outputs found
Feeling Numbers: KP Brehmer and the Supermarket
Get PDFA publication that documents the presentation of To refuse/To wait/To sleep and M&A beginning on January 12, 2017, and continuing until complete. Jamie Hilder contributes an essay about KP Brehmer.final article publishe
Polynomial tau-functions of the KP, BKP, and the s -component KP hierarchies
No full text© 2021 Author(s). We show that any polynomial tau-function of the s-component KP and the BKP hierarchies can be interpreted as a zero-mode of an appropriate combinatorial generating function. As an application, we obtain explicit formulas for all polynomial tau-functions of these hierarchies in terms of Schur polynomials and Q-Schur polynomials, respectively. We also obtain formulas for polynomial tau-functions of the reductions of the s-component KP hierarchy associated with partitions in s parts
The KP equation of plane elastodynamics
No full textThe propagation of nonlinear and dispersive waves in various materials can be described by the well-known Kadomtsev–Petviashvili (KP) equation, which is a (2 + 1)-dimensional partial differential equation. In this paper, we show that the KP equation can be used to describe the in-plane motion of compressible elastic solids with dispersion. Furthermore, a modified KP equation with cubic nonlinearity is obtained in the case of incompressible solids with dispersion. Then, several solutions of these partial differential equations are discussed and computed using a Fourier spectral method. In particular, both equations admit solitary wave solutions.The work of the first author was supported by the European Union’s Horizon 2020 research and innovation programme grant TBI-WAVES - H2020-MSCA-IF-2020 project 101023950. The work of the third author was partially supported by the PRIN research project ‘The mathematics and mechanics of nonlinear wave propagation in solids’ grant 2022P5–R22A and by GNFM of Istituto Nazionale di Alta Matematica (INDAM).peer-reviewe
From Toda hierarchy to KP hierarchy
Get PDFUsing the matrix-resolvent method and a formula of the second-named author on
the -point function for a KP tau-function, we show that the tau-function of
an arbitrary solution to the Toda lattice hierarchy is a KP tau-function. We
then generalize this result to tau-functions for the extended Toda hierarchy
(ETH) by developing the matrix-resolvent method for the ETH. As an example the
partition function of Gromov--Witten invariants of the complex projective line
is a KP tau-function, and an application on irreducible representations of the
symmetric group is obtained.Comment: 30 page
From Toda Hierarchy to KP Hierarchy
No full textUsing the matrix-resolvent method and a formula of the second-named author on the -point function for a KP tau-function, we show that the tau-function of an arbitrary solution to the Toda lattice hierarchy is a KP tau-function. We then generalize this result to tau-functions for the extended Toda hierarchy (ETH) by developing the matrix-resolvent method for the ETH. As an example, the partition function of Gromov-Witten invariants of the complex projective line is a KP tau-function, and an application to irreducible representations of the symmetric group is obtained.One of the authors, D.Y., is grateful to Marco Bertola, Boris Dubrovin, and Youjin Zhang for their advice. We thank Don Zagier for several insightful and helpful comments. We also thank the anonymous referees for constructive comments that helped to improve the presentation. The work is supported by NSFC (No. 12371254, No. 11890662) and CAS No. YSBR-032
Evaluasi Efektivitas Pengendalian Intern atas Penerimaan dan Pengeluaran Barang Dagangan Pada KP-RI Universitas Jember
Get PDFThis study aims to determine: (1) Implementation of internal controls over receiptsm and expenditures of merchandise at KP-RI Jember University if it is appropriate to elements of internal controls in SPAP 2011. (2) Measure the effectiveness of internal controls over receiptsm and expenditures of merchandise at KP-RI Jember University. Research type used is qualitative research. Data collection technique used observation, interview, documentation, and questionnaire. Based on the results obtained: (1) Implementation of internal controls over receiptsm and expenditures of merchandise at KP-RI Jember University is in compliance with elements of internal controls in SPAP 2011. (2) Internal controls over receiptsm and expenditures of merchandise at KP-RI Jember University already operating effectively, this is evidenced by the results of measuring the effectiveness of internal control that has been done by the author
KP solitons and the Grassmannians: combinatorics and geometry of two-dimensional wave patterns
No full textThis is the first book to treat combinatorial and geometric aspects of two-dimensional solitons. Based on recent research by the author and his collaborators, the book presents new developments focused on an interplay between the theory of solitons and the combinatorics of finite-dimensional Grassmannians, in particular, the totally nonnegative (TNN) parts of the Grassmannians. The book begins with a brief introduction to the theory of the Kadomtsev–Petviashvili (KP) equation and its soliton solutions, called the KP solitons. Owing to the nonlinearity in the KP equation, the KP solitons form very complex but interesting web-like patterns in two dimensions. These patterns are referred to as soliton graphs. The main aim of the book is to investigate the detailed structure of the soliton graphs and to classify these graphs. It turns out that the problem has an intimate connection with the study of the TNN part of the Grassmannians. The book also provides an elementary introduction to the recent development of the combinatorial aspect of the TNN Grassmannians and their parameterizations, which will be useful for solving the classification problem. This work appeals to readers interested in real algebraic geometry, combinatorics, and soliton theory of integrable systems. It can serve as a valuable reference for an expert, a textbook for a special topics graduate course, or a source for independent study projects for advanced upper-level undergraduates specializing in physics and mathematics
High frequency somatosensory stimulation in dystonia: Evidence for defective inhibitory plasticity
No full textBackground: Apart from motor symptoms, multiple deficits of sensory processing have been demonstrated in dystonia. The most consistent behavioural measure of this is abnormal somatosensory temporal discrimination threshold, which has recently been associated with physiological measures of reduced inhibition within the primary somatosensory area. High-frequency repetitive sensory stimulation is a patterned electric stimulation applied to the skin through surface electrodes that has been recently reported to shorten somatosensory temporal discrimination in healthy subjects and to increase the resting level of excitability in several different types of inhibitory interaction in the somatosensory and even motor areas.
Objectives: We tested whether high-frequency repetitive sensory stimulation could augment cortical inhibition and, in turn, ameliorate somatosensory temporal discrimination in cervical dystonia.
Methods: Somatosensory temporal discrimination and a number of electrophysiological measures of sensorimotor inhibition and facilitation were measured before and after 45 minutes of high-frequency repetitive sensory stimulation.
Results: As compared with a group of healthy volunteers of similar age, in whom high-frequency repetitive sensory stimulation increased inhibition and shortened somatosensory temporal discrimination, patients with cervical dystonia showed a consistent, paradoxical response: they had reduced suppression of paired-pulse somatosensory evoked potentials, as well as reduced high-frequency oscillations, lateral inhibition, and short interval intracortical inhibition. Somatosensory temporal discrimination deteriorated after the stimulation protocol, and correlated with reduced measures of inhibition within the primary somatosensory cortex.
Conclusions: We suggest that patients with dystonia have abnormal homeostatic inhibitory plasticity within the sensorimotor cortex and that this is responsible for their paradoxical response to high-frequency repetitive sensory stimulation
Prerez javno publiciranih stališč KP STO in KPI do Memoranduma o soglasju in položaja slovenske manjšine na Tržaškem (1954-1964)
No full textDrawing on the publicly declared standpoints of the Free Territory of Trieste Communist Party (KP STO) and the Communist Party of Italiy (KPI) the author elucidates and documents the response generated by the acceptance of the memorandum on the consensus of October 5, 1954 between the governments of Italy, Great Britain and the Federative People\u27s Republic of Yugoslavia and the USA which concluded the lenghtly efforts towards the solution of certain issues between Italy and Yugoslavia. The agreement also provoked negative responses, particularly in the ranks of the KPI and the KP STO as a consequence of the strained relations between the Communist Parties after the Informbureau. In the decade between 1954-1964 the views of the KPI on this memorandum crystallized, they became more rational and balanced, as did the relations between the KPI and ZKJ (the Communist League of Yugoslavia)Avtor na podlagi javno publicističnih stališč KP STO in KPI osvetljuje in dokumentira odmeve, ki jih je dal sprejem Memoranduma o soglasju 5. oktobra 1954 med vladami Italije, Velike Britanije, FLRJ in ZDA in ki je pomenil zaključek dolgotrajnega reševanja nekaterih nerešenih vprašanj med Italijo in Jugoslavijo. Sporazum je izzval tudi negativne odmeve, zlasti v vrstah KPI in KP STO, kar je bila posledica skaljenih odnosov med KP po informbiroju. V desetletju 1954-1964 se je pogled KPI na ta memorandum izkristaliziral, streznil in uravnovesil, enako pa tudi odnosi med KPI in ZKJ
The Impact of the Spectral Tail on the Evolution of the Kurtosis of Random Seas
No full textWe perform simulations of random seas based on narrow-banded spectra with directional spreading. Our wavefields are spatially homogeneous and nonstationary in time. We truncate the spectral tail for the initial conditions at different cutoff wavenumbers to assess the impact of the spectral tail on the kurtosis and spectral evolution. We consider two cases based on truncation of the wavenumber tail at |k|/kp = 2.4 and |k|/kp = 6. Our simulations indicate that the peak kurtosis value increases if the tail is truncated at |k|/kp = 2.4 rather than |k|/kp = 6. For the case with a wavenumber cutoff at |k|/kp = 2.4, augmented kurtosis is accompanied by comparatively more aggressive spectral changes including redevelopment of the spectral tail. Similar trends are observed for the case with a wavenumber cutoff at |k|/kp = 6, but the spectral changes are less substantial. Thus, the spectral tail appears to play an important role in a form of spectral equilibrium that reduces spectral changes and decreases the peak kurtosis value. Our findings suggest that care should be taken when truncating the spectral tail for the purpose of simulations/experiments. We also find that the equation of Fedele (2015, “On the Kurtosis of Deep-Water Gravity Waves,” J. Fluid Mech., 782, pp. 25–36) provides an excellent estimate of the peak kurtosis value. However, the bandwidth parameter must account for the spectral tail to provide accurate estimates of the peak kurtosis.Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.Environmental Fluid Mechanic
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