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It follows that U can be mapped biholomorphically onto a bounded open set V which is contained in a disc bounded by a circle C through 0 with 0 being in the boundary of the image of U and with 0 corresponding to the boundary point q.
At each realization, the MS point MS =[x,y] is generated randomly with a uniform distribution inside the area in the first quadrant of the Cartesian coordinates which is bounded by a circle centered at [0, 0] as in Figure 2. Figure 2 Hypothetical network scheme used throughout the simulations.
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And his "After 'First One" of 1954, a silver circle partly bounded by a black ring (or a part circle resting on a full one), looks quite at home with the familiar Eames "Kik-Step Stool," introduced in 1957 and here shown in silver and black.
The word has the same root as circle and circumference, recalling the distinctive environment in which such entertainment is presented the ring, a circular performance area usually bounded by a short fence (or "curb").
One edge is bounded by a native hedge.
Because of this mapping the result of the integral is bounded by the circle (see the proof in Appendix Appendix 2), which is a more strict property than the well-known condition I{m G (z)} ≤ 1/I{z} [19].
The part geometry is specified in a parametric boundary representation consisting of planar, cylindrical, and spherical patches bounded by line and circle segments.
We use the fact that a sector is conformally equivalent to a region bounded by two concentric circles and two rays, to map the orthogonal grid on this disc domain, given by polar coordinates, into a grid in the approximating sector.
Example 1 In this example, we consider an unbounded multiply connected region of connectivity 4 bounded by the four circles (see Figure 2).
Frequency-dependent closed-loop performance functions based on the uncertainty sets are again bounded by circles in the frequency domain, allowing for analytical expressions for worst-case performance and for the evaluation of the consequences of uncertainty for robust design.
Closed-loop performance functions based on these sets are again bounded by circles in the frequency domain, allowing for exact worst-case performance calculation and for the evaluation of the consequences of uncertainty for robust design.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com