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Journal articles on the topic 'Bimodal calculus'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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1

Khan, Mohammad Shamim, and Qamrul Hasan Lari. "Unani management of vesical calculus: a case report." International Journal of Research in Medical Sciences 9, no. 10 (2021): 3200. http://dx.doi.org/10.18203/2320-6012.ijrms20213958.

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Vesical calculus (Hisat-e-Masanah) accounts approximately 5% of all urinary tract stones. It has bimodal peaks age of incidence at 3 years in children in developing countries, and 60 years in adulthood. Despite advance technology of lithotripsy, the management of vesical calculus in children remains a challenge due to difficulty in passing of stone fragments and adverse effect of surgery. Hence alternative and safe treatment like Unani system of medicine can be adopted to avoid surgical procedure. The present paper deals with a case study in which a 10 years old male child patient suffered fro
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2

Herruzo, Elena T., and Ricardo Garcia. "Theoretical study of the frequency shift in bimodal FM-AFM by fractional calculus." Beilstein Journal of Nanotechnology 3 (March 7, 2012): 198–206. http://dx.doi.org/10.3762/bjnano.3.22.

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Bimodal atomic force microscopy is a force-microscopy method that requires the simultaneous excitation of two eigenmodes of the cantilever. This method enables the simultaneous recording of several material properties and, at the same time, it also increases the sensitivity of the microscope. Here we apply fractional calculus to express the frequency shift of the second eigenmode in terms of the fractional derivative of the interaction force. We show that this approximation is valid for situations in which the amplitude of the first mode is larger than the length of scale of the force, corresp
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3

HOLLIDAY, WESLEY H., and TADEUSZ LITAK. "COMPLETE ADDITIVITY AND MODAL INCOMPLETENESS." Review of Symbolic Logic 12, no. 3 (2019): 487–535. http://dx.doi.org/10.1017/s1755020317000259.

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AbstractIn this article, we tell a story about incompleteness in modal logic. The story weaves together an article of van Benthem (1979), “Syntactic aspects of modal incompleteness theorems,” and a longstanding open question: whether every normal modal logic can be characterized by a class ofcompletely additivemodal algebras, or as we call them,${\cal V}$-baos. Using a first-order reformulation of the property of complete additivity, we prove that the modal logic that starred in van Benthem’s article resolves the open question in the negative. In addition, for the case of bimodal logic, we sho
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4

Katavolos, Aristides, and Vern I. Paulsen. "On the Ranges of Bimodule Projections." Canadian Mathematical Bulletin 48, no. 1 (2005): 97–111. http://dx.doi.org/10.4153/cmb-2005-009-4.

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AbstractWe develop a symbol calculus for normal bimodule maps over a masa that is the natural analogue of the Schur product theory. Using this calculus we are easily able to give a complete description of the ranges of contractive normal bimodule idempotents that avoids the theory of J*-algebras. We prove that if P is a normal bimodule idempotent and then P is a contraction. We finish with some attempts at extending the symbol calculus to non-normal maps.
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5

Karaçuha, Serkan, and Christian Lomp. "Integral calculus on quantum exterior algebras." International Journal of Geometric Methods in Modern Physics 11, no. 04 (2014): 1450026. http://dx.doi.org/10.1142/s0219887814500261.

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Hom-connections and associated integral forms have been introduced and studied by Brzeziński as an adjoint version of the usual notion of a connection in non-commutative geometry. Given a flat hom-connection on a differential calculus (Ω, d) over an algebra A yields the integral complex which for various algebras has been shown to be isomorphic to the non-commutative de Rham complex (in the sense of Brzeziński et al. [Non-commutative integral forms and twisted multi-derivations, J. Noncommut. Geom.4 (2010) 281–312]). In this paper we shed further light on the question when the integral and the
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6

Elias, Ben. "The two-color Soergel calculus." Compositio Mathematica 152, no. 2 (2015): 327–98. http://dx.doi.org/10.1112/s0010437x15007587.

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We give a diagrammatic presentation for the category of Soergel bimodules for the dihedral group$W$. The (two-colored) Temperley–Lieb category is embedded inside this category as the degree$0$morphisms between color-alternating objects. The indecomposable Soergel bimodules are the images of Jones–Wenzl projectors. When$W$is infinite, the parameter$q$of the Temperley–Lieb algebra may be generic, yielding a quantum version of the geometric Satake equivalence for$\mathfrak{sl}_{2}$. When$W$is finite,$q$must be specialized to an appropriate root of unity, and the negligible Jones–Wenzl projector y
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7

Koley, Mitra. "Thicker Soergel calculus for B3." Journal of Algebra and Its Applications 19, no. 12 (2019): 2050230. http://dx.doi.org/10.1142/s0219498820502308.

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Diagrammatic algebra provides a useful way to study Soergel bimodules. This approach proceeds via the simpler category [Formula: see text]Bim of Bott–Samelson bimodules, for which there is a well developed diagrammatic calculus. As Soergel bimodules are summands of Bott–Samelson bimodules, it is important to understand idempotents in the category [Formula: see text]Bim. For Coxeter groups of type [Formula: see text], we analyze this problem for certain important idempotents, namely, the idempotent projecting to the indecomposable Soergel bimodule corresponding to the longest element of the Cox
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8

Fuchs, Jürgen, Gregor Schaumann, and Christoph Schweigert. "Eilenberg-Watts calculus for finite categories and a bimodule Radford $S^4$ theorem." Transactions of the American Mathematical Society 373, no. 1 (2019): 1–40. http://dx.doi.org/10.1090/tran/7838.

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9

AKUESON, P., and D. GUREVICH. "COTANGENT AND TANGENT MODULES ON QUANTUM ORBITS." International Journal of Modern Physics B 14, no. 22n23 (2000): 2335–47. http://dx.doi.org/10.1142/s0217979200001850.

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Let [Formula: see text] be the "coordinate ring" of a quantum sphere. We introduce the cotangent module on the quantum sphere as a one-sided [Formula: see text]-module and show that there is no Yang–Baxter type operator converting it into a [Formula: see text]-bimodule which would be a flatly deformed object w.r.t. its classical counterpart. This implies non-flatness of any covariant differential calculus on the quantum sphere making use of the Leibniz rule. Also, we introduce the cotangent and tangent modules on generic quantum orbits and discuss some related problems of "braided geometry".
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10

Visaez Salazar, Francisco José. "Estimación de las Precipitaciones Futuras y su Posible Incidencias sobre las Plantaciones Forestales en el Sur de los Estados Monagas y Anzoátegui, Venezuela." Revista Naturaleza, Sociedad y Ambiente 11, no. 1 (2024): 35–48. http://dx.doi.org/10.37533/cunsurori.v11i1.99.

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La finalidad de este estudio es determinar y evaluar las precipitaciones futuras en el sur de los estados Monagas y Anzoátegui, Venezuela, donde la empresa Maderas del Orinoco, C.A, administra un programa de plantaciones forestales en una superficie plantada de 528.582,19 hectáreas, con las especies Pinus caribaea var hondurensis, Eucalipto urophylla y, Acacia magnium. El análisis metodológico consistió en la aplicación de análisis de regresión lineal a los datos promedios mensuales y anuales de precipitación en la estación El Merey para el período base 1991 – 2022, obteniendo ecuaciones linea
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11

Majid, Shahn, and Francisco Simão. "Quantum jet bundles." Letters in Mathematical Physics 113, no. 6 (2023). http://dx.doi.org/10.1007/s11005-023-01738-z.

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AbstractWe formulate a notion of jet bundles over a possibly noncommutative algebra A equipped with a torsion-free connection. Among the conditions needed for third-order jets and above is that the connection also be flat and its ‘generalised braiding tensor’ $$\sigma :\Omega ^1\mathop {{\otimes }}_A\Omega ^1\rightarrow \Omega ^1\mathop {{\otimes }}_A \Omega ^1$$ σ : Ω 1 ⊗ A Ω 1 → Ω 1 ⊗ A Ω 1 obey the Yang–Baxter equation or braid relations. We also cover the case of jet bundles of a given ‘vector bundle’ over A in the form of a bimodule E with a flat bimodule connection with its braiding $$\s
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12

Bhowmick, Jyotishman, Debashish Goswami, and Soumalya Joardar. "Levi-Civita connections for conformally deformed metrics on tame differential calculi." International Journal of Mathematics, September 2, 2021, 2150088. http://dx.doi.org/10.1142/s0129167x21500889.

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Given a tame differential calculus over a noncommutative algebra [Formula: see text] and an [Formula: see text]-bilinear metric [Formula: see text] consider the conformal deformation [Formula: see text] [Formula: see text] being an invertible element of [Formula: see text] We prove that there exists a unique connection [Formula: see text] on the bimodule of one-forms of the differential calculus which is torsionless and compatible with [Formula: see text] We derive a concrete formula connecting [Formula: see text] and the Levi-Civita connection for the metric [Formula: see text] As an applicat
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13

Beggs, Edwin, and Shahn Majid. "Complex structure on quantum-braided planes." Letters in Mathematical Physics 115, no. 2 (2025). https://doi.org/10.1007/s11005-025-01914-3.

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Abstract We construct a quantum Dolbeault double complex $$\oplus _{p,q}\Omega ^{p,q}$$ ⊕ p , q Ω p , q on the quantum plane $${\mathbb {C}}_q^2$$ C q 2 . This solves the long-standing problem that the standard differential calculus on the quantum plane is not a $$*$$ ∗ -calculus, by embedding it as the holomorphic part of a $$*$$ ∗ -calculus. We show in general that any Nichols–Woronowicz algebra or braided plane $$B_+(V)$$ B + ( V ) , where V is an object in an Abelian $${\mathbb {C}}$$ C -linear braided bar category of real type, is a quantum complex space in this sense of a factorisable Do
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14

Emmerson, Parker. "Anterolateral Lite 2." Journal of Liberated Mathematics, May 25, 2025. https://doi.org/10.5281/zenodo.15510371.

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The \emph{Anterolateral Lite 2} formalism arises from a need to robustly track analytic and symbolic distinctions that are often lost in traditional algebraic and geometric frameworks, especially in contexts involving multi-branched solutions and subtle phase phenomena, such as Lorentzian and radical expressions. Classical algebraic structures, which treat coordinates as atomic or globally coherent entities, are prone to \emph{branch collapse}: the unwanted identification of distinct solution branches through singularities, degenerate loci, or insufficiently expressive type systems. Building o
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15

Ureña-Mora, Pablo, and Eric J. Alfaro. "Comparación de métodos de detección del inicio y término de la estación lluviosa basado en datos de precipitación." Revista Tecnología en Marcha, September 30, 2022. http://dx.doi.org/10.18845/tm.v35i4.5778.

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Diferentes metodologías han sido propuestas para la detección del inicio y término de la estación lluviosa que incluyen el área de América Central. Índices de temperatura superficial del mar, descomposición de valores singulares, mínimos cuadrados, pentadas de precipitación, desviación de la precipitación acumulada, han sido analizados por otros autores. Este estudio compara dos metodologías que utilizan únicamente observaciones de la precipitación, la primera consiste en el análisis de la precipitación acumulada diaria y la segunda consiste en calcular la desviación de la precipitación acumul
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