Results 221 to 230 of about 216,973 (262)
The geometry of longitudinal ascending aortoplasty to effect aneurysmal diameter reduction. [PDF]
JTCVS TechZhou AL, Weininger G, Woo YJ.
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Radiation-pressure-induced surface deformation of transparent liquids due to laser beams under oblique incidence. [PDF]
PhotoacousticsAnghinoni B +5 more
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Partial differential equations in data science. [PDF]
Philos Trans A Math Phys Eng SciBertozzi AL +3 more
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Investigation of the Effect of Isotonic Drinks on Quantitative MRI Markers of the Liver and Spleen. [PDF]
NMR BiomedPittas NN, Pavlides M, Mózes FE.
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On Sampling-Times-Independent Identification of Relaxation Time and Frequency Spectra Models of Viscoelastic Materials Using Stress Relaxation Experiment Data. [PDF]
Materials (Basel)Stankiewicz A +2 more
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2009
In Chapter 4 we have discussed the PDEs that control the heat flow in two and three dimensional spaces given by $$ \begin{gathered} u_t= \bar k(u_{xx}+ u_{yy} ), \hfill \\ u_t= \bar k(u_{xx}+ u_{yy}+ u_{zz} ), \hfill \\ \end{gathered} $$ (7.1) respectively, where \( \bar k \) is the thermal diffusivity.
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In Chapter 4 we have discussed the PDEs that control the heat flow in two and three dimensional spaces given by $$ \begin{gathered} u_t= \bar k(u_{xx}+ u_{yy} ), \hfill \\ u_t= \bar k(u_{xx}+ u_{yy}+ u_{zz} ), \hfill \\ \end{gathered} $$ (7.1) respectively, where \( \bar k \) is the thermal diffusivity.
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2000
The partial differential equation which is identified with the name of Pierre Simon Marquis de Laplace (1749–1827) is one of the most important equations in mathematics which has wide applications to a number of topics relevant to mathematical physics and engineering.
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The partial differential equation which is identified with the name of Pierre Simon Marquis de Laplace (1749–1827) is one of the most important equations in mathematics which has wide applications to a number of topics relevant to mathematical physics and engineering.
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1978
The Laplace operator acting on a function u(x) = u(x1,...,x n ) of class C2 in a region Ω is defined by $$\Delta = \sum\limits_{{k = 1}}^{n} {D_{k}^{2}}$$ (1.1) For \(u,\upsilon \in {C^{2}}\left( {\overline \Omega } \right)\) we have (see Chapter 3, (4.8), (4.9)) Green’s identities.
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The Laplace operator acting on a function u(x) = u(x1,...,x n ) of class C2 in a region Ω is defined by $$\Delta = \sum\limits_{{k = 1}}^{n} {D_{k}^{2}}$$ (1.1) For \(u,\upsilon \in {C^{2}}\left( {\overline \Omega } \right)\) we have (see Chapter 3, (4.8), (4.9)) Green’s identities.
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1977
Let Ω be a domain in ℝ n and u a C 2(Ω) function. The Laplacian of u, denoted ⊿u, is defined by $$\Delta u = \sum\limits_{i = 1}^n {{D_u}u = div} Du.$$ (2.1)
David Gilbarg, Neil S. Trudinger
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Let Ω be a domain in ℝ n and u a C 2(Ω) function. The Laplacian of u, denoted ⊿u, is defined by $$\Delta u = \sum\limits_{i = 1}^n {{D_u}u = div} Du.$$ (2.1)
David Gilbarg, Neil S. Trudinger
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