“…From Black Holes and Big Bangs to the Higgs boson and the infinitesimal building blocks of all matter, modern science has been spectacularly successful, with one glaring exception - intelligence. …”
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“…The book chapters include: - foundations of jet bundles and analysis of differential forms and vector fields on jet bundles, - the theory of higher-order integral variational functionals for sections of a fibred space, the (global) first variational formula in infinitesimal and integral forms- extremal conditions and the discussion of Noether symmetries and generalizations,- the inverse problems of the calculus of variations of Helmholtz type- variational sequence theory and its consequences for the global inverse problem (cohomology conditions)- examples of variational functionals of mathematical physics. …”
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“…As there are no simple linearly ordered MV-algebras in this case, infinitesimal elements of an MV-algebra are allowed to be truth values. …”
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“…The infinitely large (infinite) is intimately related to the infinitely small (infinitesimal). Cosmologists consider sweeping questions about whether space and time are infinite. …”
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“…Integrable $\lambda$-deformed $\sigma$-models are characterized by an underlying current algebra/coset model CFT deformed, at the infinitesimal level, by current/parafermion bilinears. …”
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“…The comprehensive framework combines the principles of classical equilibrium and non-equilibrium thermodynamics with electrodynamics of continua in the infinitesimal strain regime. In the first part of this paper, linear Thermo-Electro-Magneto-Mechanical (TEMM) quasistatic processes are characterized. …”
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“…From these experimental data, it was possible to estimate some parameters, such as the hydrodynamic radius R(h), and the diffusion coefficient at infinitesimal concentration, D(0), of hyaluronate ion, permitting us to have a better understanding of the structure of these systems of sodium hyaluronate in aqueous solutions. …”
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“…The method is surprisingly sensitive, more so even than that of spectrum analysis, requires an infinitesimal amount of material, and does not require this to be specially purified.” …”
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“…Many researchers have studied the epidemic threshold of epidemic models above which a global outbreak can occur, starting from an infinitesimal fraction of seeds. However, there have been few studies of epidemic models with finite fractions of seeds. …”
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“…Here, the black hole undergoes infinitesimal changes because of the momenta carried by the particle entering it. …”
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“…As a research practice committed to joining microscopic with macro lived experience, critical autoethnography offers a speculative method for collective reckoning with our infinitesimal selves in relation to the infinite of a pandemic.…”
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“…This paper examines the effects of radiation pressure and triaxiality of two stars (primaries) surrounded by a belt (circumbinary disc) on the positions and stability of a third body of an infinitesimal mass in the neighbourhood of collinear libration points in the framework of elliptic restricted three body problem (ER3BP).We have found the solutions to the location of collinear points [Formula: see text] ([Formula: see text] = 1,2,3).We have investigated these collinear points numerically and graphically using radiating binary system (FL virginis and Procyon).The positions and stability of these points are found to be affected by triaxiality, radiation and the gravitational potential from the belt. …”
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“…The first stage involves the identification of self-stress states and infinitesimal mechanisms. The next stage concentrates on the static and dynamic behavior of tensegrities under time-independent external loads, whereas the third is under periodic loads. …”
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“…The predicted quantal volume changes were infinitesimal in magnitude, biphasic in nature, and essentially irreversible within inter-transit periods. …”
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“…We derive the exactly marginal operators corresponding to an infinitesimal planar deformation using the conjectured holography between the coset model and the little string theory that resides on the worldvolume of the NS5-branes. …”
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“…The magnificent vault of stars emblazoning Earth’s night skies are but an infinitesimal fraction of the hundreds of billions that inhabit our galaxy—and there are at least as many galaxies in the universe as there are stars in the Milky Way. …”
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“…This book presents the authors' recent work on the numerical methods for the stability analysis of linear autonomous and periodic delay differential equations, which consist in applying pseudospectral techniques to discretize either the solution operator or the infinitesimal generator and in using the eigenvalues of the resulting matrices to approximate the exact spectra. …”
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“…The first chapter, by Makoto Maejima, surveys representations of the main sub-classes of infinitesimal distributions in terms of mappings of certain Lévy processes via stochastic integration. …”
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“…This book identifies three of the exceptionally fruitful periods of the millennia-long history of the mathematical tradition of India: the very beginning of that tradition in the construction of the now-universal system of decimal numeration and of a framework for planar geometry; a classical period inaugurated by Aryabhata’s invention of trigonometry and his enunciation of the principles of discrete calculus as applied to trigonometric functions; and a final phase that produced, in the work of Madhava, a rigorous infinitesimal calculus of such functions. The main highlight of this book is a detailed examination of these critical phases and their interconnectedness, primarily in mathematical terms but also in relation to their intellectual, cultural and historical contexts. …”
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