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A Cauchy problem in mathematics asks for the solution of a partial differential equation that satisfies certain conditions that are given on a hypersurface in the domain. [1] A Cauchy problem can be an initial value problem or a boundary value problem (for this case see also Cauchy boundary condition ). It is named after Augustin-Louis Cauchy .
SAT solver. In computer science and formal methods, a SAT solver is a computer program which aims to solve the Boolean satisfiability problem. On input a formula over Boolean variables, such as " ( x or y) and ( x or not y )", a SAT solver outputs whether the formula is satisfiable, meaning that there are possible values of x and y which make ...
Adaptive reasoning may also refer to the adaptation of thought processes, problem solving strategies, and conceptual framework, in response and anticipation of the changing nature of the problem being considered. "Adaptive reasoning refers to the capacity to think logically about the relationships among concepts and situations and to justify ...
The XY problem obscures the real issues and may even introduce secondary problems that lead to miscommunication, resource mismanagement, and sub-par solutions. The solution for the support personnel is to ask probing questions as to why the information is needed in order to identify the root problem Y and redirect the end user away from an ...
In the static predecessor problem, the set of elements does not change, but in the dynamic predecessor problem, insertions into and deletions from the set are allowed. [1] The predecessor problem is a simple case of the nearest neighbor problem, and data structures that solve it have applications in problems like integer sorting .
Vehicle routing problem. The vehicle routing problem ( VRP) is a combinatorial optimization and integer programming problem which asks "What is the optimal set of routes for a fleet of vehicles to traverse in order to deliver to a given set of customers?" It generalises the travelling salesman problem (TSP).
The problem of allocation deals with the question of whether to produce capital goods or consumer goods. If the community decides to produce capital goods, resources must be withdrawn from the production of consumer goods. In the long run, however, [investment] in capital goods augments the production of consumer goods.
This is accomplished by solving heat equations in both regions, subject to given boundary and initial conditions. At the interface between the phases (in the classical problem) the temperature is set to the phase change temperature. To close the mathematical system a further equation, the Stefan condition, is required. This is an energy balance ...