Weather and climate mountain ranges toward prevailing winds, and the ocean current. Weather and climate There is often confusion between weather and climate. Weather is the condition of the atmosphere at a particular place over a short period of time, whereas climate refers to the weather pattern, using statistical data, of a place over a long enough period to yield meaningful averages. Meteorology studies weather, while climatology studies climate; both are atmospheric sciences. Climate is an important physical element because it indicates the atmospheric condition of heat, moisture and circulation; it plays a dominant role in shaping vegetation and soil; and it ultimately
Dirichlet boundary condition and are given numbers. For a partial differential equation, for example, where denotes the Laplace operator, the Dirichlet boundary conditions on a domain take the form where is a known function defined on the boundary . For example, the following would be considered Dirichlet boundary conditions: Many other boundary conditions are possible, including the Cauchy boundary condition and the mixed boundary condition. The latter is a combination of the Dirichlet and Neumann conditions. Dirichlet boundary condition In mathematics, the Dirichlet (or first-type) boundary condition is a type of boundary condition, named after Peter Gustav Lejeune Dirichlet (1805–1859). When imposed on