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The authority under FAR Part 12, Commercial Items (and services), must be used thoughtfully and carefully. It is very tempting for a contracting officer to use FAR Part 12 and hence FAR Part 13 in situations where such use is clearly not appropriate in view of the basic reasons commercial item acquisition authority was created by Congress.
This is a list of fictional countries from published works of fiction (books, films, television series, games, etc.). Fictional works describe all the countries in the following list as located somewhere on the surface of the Earth as opposed to underground, inside the planet, on another world, or during a different "age" of the planet with a different physical geography.
With the appropriate choice of the imaginary current densities, the fields inside the surface or outside the surface can be deduced from the imaginary currents. [4] In a radiation problem with given current density sources, electric current density J 1 {\displaystyle J_{1}} and magnetic current density M 1 {\displaystyle M_{1}} , the tangential ...
There are several equivalent definitions of a Riemann surface. A Riemann surface X is a connected complex manifold of complex dimension one. This means that X is a connected Hausdorff space that is endowed with an atlas of charts to the open unit disk of the complex plane: for every point x ∈ X there is a neighbourhood of x that is homeomorphic to the open unit disk of the complex plane, and ...
Since the power of a wave in a particular medium is proportional to the square of a field quantity, one may speak of a penetration depth at which the magnitude of the electric (or magnetic) field has decayed to 1/e of its surface value, and at which point the power of the wave has thereby decreased to / or about 13% of its surface value:
In mathematics, a plane is a two-dimensional space or flat surface that extends indefinitely. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space. When working exclusively in two-dimensional Euclidean space, the definite article is used, so the Euclidean plane refers to the ...
is called the transition map between the two copies of —the so-called charts—glueing them together. Since the transition maps are holomorphic, they define a complex manifold, called the Riemann sphere. As a complex manifold of 1 complex dimension (i.e. 2 real dimensions), this is also called a Riemann surface.
A pseudosphere of radius R is a surface in having curvature −1/R 2 at each point. Its name comes from the analogy with the sphere of radius R , which is a surface of curvature 1/ R 2 . The term was introduced by Eugenio Beltrami in his 1868 paper on models of hyperbolic geometry .