Results 81 to 90 of about 528,533 (276)
Engineering, MAthematics and Computer Science (EMACS) Journal, 2022 This paper discusses the derivation of Euler's formula. To obtain this model, the writer derives Euler's formula from ex+iy by first finding the norm and argument of ex+iy. In this derivation we substitute the norm and argument of ex+iy on complex numbers in polar coordinates, until we get the derivation of Euler's formula.
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Seismic analysis and design of tunnels within fault ground: A review
Deep Underground Science and Engineering, EarlyView.The research methods of seismic response of tunnels within fault ground, including field investigations, analytical solutions, physical experiments, and numerical simulations, and seismic countermeasures are discussed. The present study examines the shortcomings and limitations of the current research and design, and puts forward proposals for future ...
Xingda Wang +6 more
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Deep Underground Science and Engineering, EarlyView.For the roof of coral reef limestone caverns, a novel tension‐shear composite failure mechanism was developed. The most critical tensile crack model was identified using a hybrid optimization algorithm, and the stability of the cavern roof was analyzed accordingly.
Dongsheng Xu, Chenxu Li, Chuantan Hou
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On Some Multipliers Related to Discrete Fractional Integrals
MathematicsThis paper explores the properties of multipliers associated with discrete analogues of fractional integrals, revealing intriguing connections with Dirichlet characters, Euler’s identity, and Dedekind zeta functions of quadratic imaginary fields ...
Jinhua Cheng
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Investigation on tunnel stability considering pipe‐roof support with transparent soil technology
Deep Underground Science and Engineering, EarlyView.This study integrates transparent soil technology, 3D reconstruction and numerical simulation to captures the full‐field deformation of shield tunnel instability. Results demonstrate that pipe‐roof support enhances stability via the “soil‐arching barrier effect,” effectively restraining failure wedge development by extending stress transfer paths ...
Zhi Jia +4 more
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Immersed Boundary Projection Method for Boundaries With Slip Velocities
International Journal for Numerical Methods in Fluids, EarlyView.A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
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Blood Balance Advanced Formula - Key Benefits, Ingredients & Price
, 2021 This is a high-performing blood balance supplement. The unbelievable blend of natural ingredients serves a perfect solution for todays generation. The prices are truly affordable along with the moneyback guarantee.
Blood Balance Advanced Formula
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International Journal for Numerical Methods in Fluids, EarlyView.This study utilizes the Method of Manufactured Solutions (MMS) to validate high‐order compact finite‐difference schemes for 2D incompressible viscoelastic flows. By applying Oldroyd‐B and Giesekus models to a lid‐driven cavity benchmark, the researchers rigorously assessed numerical accuracy across varying Reynolds and Weissenberg numbers.
Juniormar Organista +5 more
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A Note on Lerch's Formulae for Euler Quotients
Integers, 2015 See the abstract in the attached pdf.
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Path Degeneracy and Applications
Journal of Graph Theory, EarlyView.ABSTRACT In this work, we relate girth and path‐degeneracy in classes with sub‐exponential expansion, with explicit bounds for classes with polynomial expansion and proper minor‐closed classes that are tight up to a constant factor (and tight up to second order terms if a classical conjecture on existence of g $g$‐cages is verified). As an application,
Yuquan Lin, Patrice Ossona de Mendez
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