Associative n-categories by Dorn, C

“…</p> <p>Singular n-cubes can be thought of as "flag-foliation-compatible" stratifications of the n-cube, such that strata are "stable" under projections from the (k + 1)- to the k-cube, together with a functorial assignment of data to strata. …”

New coordinates for a simpler canonical derivation of the Hawking effect by Golam Mortuza Hossain, Chiranjeeb Singha

“…Firstly, the spacetime foliation using Schwarzschild time does not lead to hyper-surfaces which are always spacelike. …”
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Dark Matter as Gravitational Solitons in the Weak Field Limit by Torsten Asselmeyer-Maluga, Jerzy Król

“…The stability of this soliton is connected with the existence of a special foliation and amazingly with the smoothness properties of spacetime. …”
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Investigation of quantitative indicators of anisotropy based on longitudinal elastic waves propagation velocities with uncertainty by Gligorić Miloš, Majstorović Jelena, Lutovac Suzana

“…Almost all of rock masses are more or less anisotropic medium. Foliation, layering, cracking and cleavage are some of the rock attributes that indicate to anisotropy presence. …”
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New Studies of the Structure and the Texts of Abba Garima Ethiopian Gospels by Sergey Kim

“…The author rearranges the sequence of the disordered folios of the manuscripts in detailed tables, proposes a new foliation system and proceeds to catalogue-like descriptions. …”
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Transverse Kähler holonomy in Sasaki Geometry and S-Stability by Boyer Charles P., Huang Hongnian, Tønnesen-Friedman Christina W.

“…We study the transverse Kähler holonomy groups on Sasaki manifolds (M, S) and their stability properties under transverse holomorphic deformations of the characteristic foliation by the Reeb vector field. In particular, we prove that when the first Betti number b1(M) and the basic Hodge number h0,2B(S) vanish, then S is stable under deformations of the transverse Kähler flow. …”
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Tectono-Metamorphic Deformation and Structures of Mubi-Hong Area, NE, Nigeria by S. N. Yusuf, A. Y. Kuku, Y. Ibrahim, S. Kasidi

“…The resultant effect is production of varied ductile and brittle structures (faults, folds, mineral stretching and foliation) which trends mostly in NNW-SSE direction, with other components NNE-SSW and NE-SW. …”
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Timing of ductile shearing within the Drūkšiai–Polotsk Deformation Zone, Lithuania: a U–Pb titanite age by Alevtina Fedoseenko, Sonya Yakovleva, Ekaterina Salnikova, Svetlana Bogdanova, Irma Vejelyte

“…This light brown titanite follows the foliation in the host rock and was obviously formed during retrogression from amphibolite to epidote-amphibolite facies and coeval mylonitization. …”
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Finite Strain Quantification in Cariris Velhos Metagranitoids of Alagoa Grande (PB)Sérgio Wilians de Oliveira Rodrigues by Sérgio Wilians de Oliveira Rodrigues, Carlos José Archanjo, Carlos Henrique Grohmann

“…When analyzing the characteristics of the deformation ellipsoids obtained in this study,it is worth pointing out the strong orientation of the C-axis (foliation pole) and the predominance of ellipsoids associatedwith planar to planar- linear fabrics (flattening field). …”
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Characteristics of morphological and decorative features of the genus Amelanchier Medik. representatives from the collection of the National Dendrological Park Sofiyivka of the NAS... by O.D. Andrienko

“…Due to heavy seasonal flowering, foliation, fruiting and significant range of possible environmental adaptability to vegetation conditions the genus Amelanchier representatives can be recommended for wide use in landscape gardening construction.…”
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Primordial Dark Energy from a Condensate of Spinors in a 5D Vacuum by Pablo Alejandro Sánchez, Mauricio Bellini

“…After making a static foliation on the extra coordinate, we obtain an effective 4D (inflationary) de Sitter expansion which describes an inflationary universe. …”
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OVERVIEW OF THE STATE OF KNOWLEDGE ON PALEOTECTONIC STRESSES AND THEIR IMPLICATIONS FOR SOLUTION OF GEOLOGICAL PROBLEMS by L. A. Sim

“…The most informative geological indicators of tectonic stress are faults on all scales and minor structural forms, such as dikes, mineralized veins, shear fractures, cleavage, slikenlines on slip planes of any genesis, foliation, cleavage, stilo­lite joints, hinges and axial planes of folds and flexures, etc. …”
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Isoparametric and Dupin Hypersurfaces by Thomas E. Cecil

“…A hypersurface $M^{n−1}$ in a real space-form is proper Dupin if the number $g$ of distinct principal curvatures is constant on $M^{n−1}$, and each principal curvature function is constant along each leaf of its corresponding principal foliation. This is an important generalization of the isoparametric property that has its roots in nineteenth century differential geometry and has been studied effectively in the context of Lie sphere geometry. …”
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Causal functional calculus by Henry Chiu, Rama Cont

“…For paths that possess finite quadratic variation, our approach extends the Föllmer–Ito calculus and removes previous restriction on the time partition sequence. We introduce a foliation structure on this path space and show that harmonic functionals may be represented as pathwise integrals of closed 1-forms.…”

Continuity equations for general matter: applications in numerical relativity by Clough, K

“…One can calculate this source term and reconcile the flux and energy accumulation over time in an arbitrary volume, although a foliation of the spacetime must be chosen, making the quantities inherently coordinate dependent. …”

(Symplectic) leaves and (5d Higgs) branches in the Poly(go)nesian Tropical Rain Forest by van Beest, M, Bourget, A, Eckhard, J, Schafer-Nameki, S

“…Furthermore, from partial resolutions, we identify the symplectic leaves of the Higgs branch and thereby the entire foliation structure. In the case of strictly toric polygons, this approach reduces to the description of deformations of the Calabi-Yau singularities in terms of Minkowski sums. …”

Mapeamento Geológico do Pegmatito Alto do Urubu, município de Picuí (PB), Faixa Seridó, Província Pegmatítica da Borborema by Raissa Yohana Oliveira Santos, Vinicius Anselmo Carvalho Lisboa, José Ramilson Santos Oliveira, Tiago Sales Costa Barros, Thales José Cordeiro Santos, Paulo Sales Costa Barros

“…It is possible to observe in these rocks foliation Sn and Sn+1, as well as crenulations. The studied pegmatite has an elongated shape, it is about 106 meters long and 18 meters wide and N-S direction, in agreement with the foliation of the schist. …”
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Structural framework and timing of the Pahtohavare Cu&thinsp;±&thinsp;Au deposits, Kiruna mining district, Sweden by L. Logan, E. Veress, J. B. H. Andersson, O. Martinsson, T. E. Bauer

“…The epigenetic Pahtohavare Cu <span class="inline-formula">±</span> Au mineralization sits in brittle–ductile structures that cross-cut an earlier foliation and the F<span class="inline-formula">₂</span> fold, indicating that the timing of the deposits occurred syn- to post-F<span class="inline-formula">₂</span> folding, at least ca. 80 Myr after the Kiirunavaara IOA formation. …”
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Microstructure characteristics of Wufeng-Longmaxi shale gas reservoirs with different depth, southeastern Sichuan Basin by Weixin LIU, Longfei LU, Zhihong WEI, Lingjie YU, Wentao ZHANG, Chenjie XU, Deliao YE, Baojian SHEN, Ming FAN

“…The high quality shale reservoir at the bottom is structurally isotropic, and the vertical and horizontal structural anisotropy becomes stronger upwards, with thinner micro-lamina and more foliation seams. The TOC content is high at the bottom, and diminishes upwards. …”
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Momentum/Complexity duality and the black hole interior by José L.F. Barbón, Javier Martín-García, Martin Sasieta

“…The asymptotic regime of linear complexity growth is associated to a frozen momentum in the interior of the black hole, measured with respect to a time foliation by extremal codimension-one surfaces which saturate without reaching the singularity. …”
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