Results 31 to 40 of about 706,319 (269)
Maintaining rice yield, soil function, and fertility are essential components of long-term compost fertilization. However, paddy fields are major sources of anthropogenic methane emissions. The aim of the study is to evaluate the changes in soil chemical
Chungwoo Kim +8 more
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Numbers and functions in quantum field theory [PDF]
We review recent results in the theory of numbers and single-valued functions on the complex plane which arise in quantum field theory. We use the results to calculate the renormalization functions $β$, $γ$, $γ_m$ of dimensionally regularized $ϕ^4$ theory in the minimal subtraction scheme up to seven loops.
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Quantum gravity effects on the thermodynamic stability of 4D Schwarzschild black hole
Based on the Euclidean approach, we consider the effects of quantum gravity and mass-less matter on the thermodynamic properties of Schwarzschild black hole.
Basem Kamal El-Menoufi
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On the zeta function of number fields
A simple principle can be taken as guide in extending basic results of analytic number theory as in Titchmarsh to algebraic number fields: Whenever you see a \(T\) in an estimate, with a logarithm, then replace it by \(d_kT^{N_k}\), where \(d_k\) is the discriminant of the field \(k\), and \(N_k\) is the degree.
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Function fields of class number one
In 1975, [LMQ] listed 7 function felds over fnite felds (up to isomorphism) with positive genus and class number (i.e., the size of the divisor class group of degree zero) one and claimed to prove that these were the only ones such. In [S1], Claude Strirpe found 8th one!
Qibin Shen, Shuhui Shi
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Two-Dimensional Quasi-Periodic Diffraction Properties of the Scalar and Vector Optical Fields
As is known, quasi-periodicity attracts great attention in many scientific regions. For instance, the discovery of the quasicrystal was rewarded the Nobel Prize in 2011, leading to a series of its applications.
Yue Pan +6 more
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Estimating the size of fields in biomedical sciences
Scientific research output has increased exponentially over the past few decades, but not equally across all fields of study, and we lack clear methods for estimating the size of any given field of research. Understanding how fields grow, change, and are
Quigly Dragotakes, Arturo Casadevall
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Renormalization group fixed points of foliated gravity-matter systems
We employ the Arnowitt-Deser-Misner formalism to study the renormalization group flow of gravity minimally coupled to an arbitrary number of scalar, vector, and Dirac fields. The decomposition of the gravitational degrees of freedom into a lapse function,
Jorn Biemans +2 more
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On the determination of number fields by L-functions [PDF]
We prove that a Galois number field is determined by any Artin L-function corresponding to a character of the Galois group which contains all irreducible characters.
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This numerical study is intended for the analysis of thermal convection induced by buoyancy forces generated within a conical annular porous gap. The annulus was vertically positioned, it contains a discrete heat source and is filled with a Single-Walled
Wael Al-Kouz +10 more
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