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... parts of an expression as a single entity. For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms. c. Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real ...
... parts of an expression as a single entity. For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms. c. Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real ...
Proceedings 1998 International Conference on Web
... exchange of information can be done using common data structures or/and using messages passing. Messages are objects (active objects) with methods and data. They are stored in internal and external list of nodes, where they wait for being processed. The language allows the free use of a general purp ...
... exchange of information can be done using common data structures or/and using messages passing. Messages are objects (active objects) with methods and data. They are stored in internal and external list of nodes, where they wait for being processed. The language allows the free use of a general purp ...
Simulation of boundary slip on a liquid
... a lot of attention recently. Some researchers have shown that friction can be reduced when the liquid flows on a superhydrophobic surface due to the boundary slip phenomenon 4, 5 . The boundary slip phenomenon is affected by many factors such as surface roughness 6 , fluid viscosity 7 , contact angl ...
... a lot of attention recently. Some researchers have shown that friction can be reduced when the liquid flows on a superhydrophobic surface due to the boundary slip phenomenon 4, 5 . The boundary slip phenomenon is affected by many factors such as surface roughness 6 , fluid viscosity 7 , contact angl ...
Do not let the dead bite! Different scenarios of the zombie epidemic
... Source: http://amc.com/shows/the-walking-dead [accessed: 8.12.2015]. ...
... Source: http://amc.com/shows/the-walking-dead [accessed: 8.12.2015]. ...
Temporal preconditioners for marching on-in
... Marching-on-in-time (MOT)-based time domain integral equation (TDIE) solvers are plagued with stability problems. In the literature, many methods have been developed to enhance the stability of MOT-based solvers. These methods are mainly based on semianalytical calculation of MOT matrix elements [1– ...
... Marching-on-in-time (MOT)-based time domain integral equation (TDIE) solvers are plagued with stability problems. In the literature, many methods have been developed to enhance the stability of MOT-based solvers. These methods are mainly based on semianalytical calculation of MOT matrix elements [1– ...
Sangkyum`s slides
... 1. At each stage, after solving the LP, a fractional variable xj is selected and two subproblems are set up, one where xj=1 and the other where xj=0. (Branch) 2. Solve the LP relaxation of the two subproblems. 3. From each subproblem with a nonintegral solution we branch again to generate two subpro ...
... 1. At each stage, after solving the LP, a fractional variable xj is selected and two subproblems are set up, one where xj=1 and the other where xj=0. (Branch) 2. Solve the LP relaxation of the two subproblems. 3. From each subproblem with a nonintegral solution we branch again to generate two subpro ...
38. A preconditioner for the Schur complement domain
... domain decomposition method inspired by the dual-primal FETI method [4]. Indeed the proposed method enforces the continuity of the preconditioned gradient at cross-points directly by a reformulation of the classical Neumann-Neumann preconditioner. In the case of elasticity problems discretized by fin ...
... domain decomposition method inspired by the dual-primal FETI method [4]. Indeed the proposed method enforces the continuity of the preconditioned gradient at cross-points directly by a reformulation of the classical Neumann-Neumann preconditioner. In the case of elasticity problems discretized by fin ...
Gauss`s Hypergeometric Equation
... Some comments and remarks on hypergeometric functions F: Formulas (0.6) and (0.7) show that the adaptability of the constants in equation GHE (0.1) makes it possible to express the general solution of this equation near each of its singular points in terms of the single function F. More than this i ...
... Some comments and remarks on hypergeometric functions F: Formulas (0.6) and (0.7) show that the adaptability of the constants in equation GHE (0.1) makes it possible to express the general solution of this equation near each of its singular points in terms of the single function F. More than this i ...
Numerical Solution of the Hamilton-Jacobi
... of this approach compared to power-law or exponential utility maximization is that the results can be easily interpreted in terms of an efficient frontier. The objective of this paper is to develop a numerical method for solving the continuous time mean variance optimal asset allocation problem. We ...
... of this approach compared to power-law or exponential utility maximization is that the results can be easily interpreted in terms of an efficient frontier. The objective of this paper is to develop a numerical method for solving the continuous time mean variance optimal asset allocation problem. We ...
Coastal Erosion Studies—A Review
... considerable level of empiricism and may be termed top-down or data-drive models. Probably the best known and most widely used example is the GENESIS model which is applicable to predicting generalized platform shoreline evolution for the special case where alongshore gradients in sediment transport ...
... considerable level of empiricism and may be termed top-down or data-drive models. Probably the best known and most widely used example is the GENESIS model which is applicable to predicting generalized platform shoreline evolution for the special case where alongshore gradients in sediment transport ...
Element Connections
... should be randomly placed so that each board is unique. Provide pennies, or other tokens, for the players to put on the circles as clues are called. When a player has tokens placed on a continuous pathway from top to bottom, he calls out “Connection!” The player must then read off the elements he ha ...
... should be randomly placed so that each board is unique. Provide pennies, or other tokens, for the players to put on the circles as clues are called. When a player has tokens placed on a continuous pathway from top to bottom, he calls out “Connection!” The player must then read off the elements he ha ...
Quadratic Finite Element Methods for Unilateral Contact Problems
... The numerical approximation of contact and impact problems occurring in solid mechanics is generally accomplished using finite elements (see [12, 17, 22]). In the engineering context, such simulations involve an increasing number of difficulties due to a more precise modelling of complex phenomena s ...
... The numerical approximation of contact and impact problems occurring in solid mechanics is generally accomplished using finite elements (see [12, 17, 22]). In the engineering context, such simulations involve an increasing number of difficulties due to a more precise modelling of complex phenomena s ...
Computational fluid dynamics

Computational fluid dynamics, usually abbreviated as CFD, is a branch of fluid mechanics that uses numerical analysis and algorithms to solve and analyze problems that involve fluid flows. Computers are used to perform the calculations required to simulate the interaction of liquids and gases with surfaces defined by boundary conditions. With high-speed supercomputers, better solutions can be achieved. Ongoing research yields software that improves the accuracy and speed of complex simulation scenarios such as transonic or turbulent flows. Initial experimental validation of such software is performed using a wind tunnel with the final validation coming in full-scale testing, e.g. flight tests.