Extreme value statistics of smooth Gaussian random fields by Colombi, S, Davis, O, Devriendt, J, Prunet, S, Silk, J

“…We compare the analytic predictions to numerical experiments for the case of a scale-free Gaussian field in two dimensions, achieving impressive agreement between approximate theory and measurements. We also discuss the generalization of our formalism to non-Gaussian fields. © 2011 The Authors. …”

Two-Dimensional Geometrical Shock Dynamics for Blast Wave Propagation and Post-Shock Flow Effects by Heng Liu, Veronica Eliasson

“…To address this issue, another model was developed that combines the PGSD model with shock–shock approximate theory (PGSDSS), but it excessively attenuates Mach stem evolution.…”
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Prediction of gas production in carbonates based on CT analysis and nuclear magnetic resonance (NMR) logging by Ning LI, Kewen WANG, Gong ZHANG, Hongliang WU, Luzi ZHAO, Lihong WU, Qingfu FENG, Zhou FENG

“…Firstly, the exponential relationship between gas production and CT70 porosity is proved by effective medium approximate theory (EMA) in dual media and planar radial flow formula. …”
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Galilean relativity – Explained by means of the triangle solutions by Shukri Klinaku

“…Fourthly, this study's general conclusion challenges modern Physics' stance that Galilean relativity is an approximate theory applicable only for small velocities; rather, it posits that Galilean relativity constitutes a complete theory, which offers realistic solutions for all relativity situations.…”
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Mathematical Model of the Flow in a Nanofiber/Microfiber Mixed Aerosol Filter by Elvina Panina, Renat Mardanov, Shamil Zaripov

“…The obtained results are compared with the analytical formulas based on the approximate theory of filtration of bimodal filters and with known experimental data. …”
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Effect of lateral load due to wind and seimic loading to tall building in Malaysia / Siti Nor Marlina Che Hamipah by Che Hamipah, Siti Nor Marlina

“…The accuracy of the lateral deflection results from STAAD Pro. predicted by comparison with the approximate theory of wall frame. At the end of this study, it is found that there is only minor effect due to seismic load in Malaysia and wind loading is being regarded as critical for tall building in Malaysia…”
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Quantum localisation and multifractality in chains with strongly correlated disorder by Duthie, AJ

“…Using the fact that the associated self energy is an order parameter for localisation, we analyse its convergence in continued fraction (CF) form and thereby infer localisation or its absence, yielding the mobility edges of arbitrary models. Approximate theories can be implemented at any order in the CF by self-consistently determining the self energy. …”

Said-Ball Cubic Transition Curve And Its Application To Spur Gear Design by Yahaya, Saifudin Hafiz

“…Past studies have shown that an involute curve is the most common profile used in designing the spur gear tooth, developed based on the approximation theories such as Chebyshev approximation and the tracing points method. …”
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Determinants of international convergence of accounting standards in Brazil: an investigation in the private and public companies electricity sector Fatores determinantes para a ad... by Vinícius Costas da Silva Zonatto, Alexandre Corrêa dos Santos, Moacir Manoel Rodrigues Junior, Francisco Antonio Bezerra

“…Based on the IOPC, and using indicators of accounting described in the goal, we used the approximate theory of sets to verify the hypothesis of a declaratory core book that best explain the adherence to the accounting standards. …”
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Cut Systems with Relational Morphisms for Semiring-Valued Fuzzy Structures by Jiří Močkoř

“…In that way, approximation theories for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi mathvariant="script">R</mi><mo>,</mo><msup><mrow><mi mathvariant="script">R</mi></mrow><mo>*</mo></msup><mo>)</mo></mrow></semantics></math></inline-formula>-fuzzy sets, rough <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi mathvariant="script">R</mi><mo>,</mo><msup><mrow><mi mathvariant="script">R</mi></mrow><mo>*</mo></msup><mo>)</mo></mrow></semantics></math></inline-formula>-fuzzy sets theories, or <i>F</i>-transform theories for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi mathvariant="script">R</mi><mo>,</mo><msup><mrow><mi mathvariant="script">R</mi></mrow><mo>*</mo></msup><mo>)</mo></mrow></semantics></math></inline-formula>-fuzzy sets have already been created and then retransformed for these new fuzzy structures. …”
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Electromagnetic wave scattering by discrete random media with remote sensing applications by Ao, Chi On, 1970-

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