concerning parallels in neutral geometry. If there are closest parallels to a given line they are known as the limiting parallel, asymptotic parallel or horoparallel...

parallelism is used in the affine plane. Clifford parallel Collinearity Concurrent lines Limiting parallel Parallel curve Ultraparallel theorem Harris, John W...

ultraparallel, diverging parallel or sometimes non-intersecting. Some geometers simply use the phrase "parallel lines" to mean "limiting parallel lines", with ultraparallel...

are said to be ultraparallel if they do not intersect and are not limiting parallel. The ultraparallel theorem states that every pair of (distinct) ultraparallel...

perpendicular geodesics (normals) through a point on a horocycle are limiting parallel, and all converge asymptotically to a single ideal point called the...

there is always a single limiting factor is vital in ecology, and the concept has parallels in numerous other processes. The limiting factor also causes competition...

make collimated light or parallel rays), or to cause the spatial cross section of the beam to become smaller (beam limiting device). The English physicist...

plane while keeping the sides within the plane. If a pair of sides is limiting parallel (i.e. the distance between them approaches zero as they tend to the...

The parallel turn in alpine skiing is a method for turning which rolls the ski onto one edge, allowing it to bend into an arc. Thus bent, the ski follows...

In mathematics, a limiting case of a mathematical object is a special case that arises when one or more components of the object take on their most extreme...

dt.} Limiting (or steady-state) availability is represented by A = lim c → ∞ A c . {\displaystyle A=\lim _{c\rightarrow \infty }A_{c}.} Limiting average...

infinity: given a line l and a point P not on l, the right- and left-limiting parallels converge asymptotically to different points at infinity. All points...

In music, consecutive fifths or parallel fifths are progressions in which the interval of a perfect fifth is followed by a different perfect fifth between...

Spain announced a state of exception further limiting citizens' rights. In contrast, his script for Parallel Mothers speaks explicitly of the need to confront...

The "parallel state" is a term coined by American historian Robert Paxton to describe a collection of organizations or institutions that are state-like...

horocycles and hypercycles Chords that meet on the boundary circle are limiting parallel lines. Two chords are perpendicular if, when extended outside the...

constraining the vehicle axle's movement to nearly vertical travel while also limiting horizontal motion. Watt's linkage consists of three bars bolted together...

computer clusters. Also, since in such systems memory is usually not a limiting resource, the disadvantage of space complexity of merge sort is negligible...

electrolyte AxBy, the limiting molar conductivity is expressed as x times the limiting molar conductivity of Ay+ and y times the limiting molar conductivity...

results are unpredictable. This causes frequent branch mispredictions, limiting performance. BlockQuicksort rearranges the computations of quicksort to...

projection is a limiting form of the Bonne projection, having its standard parallel at one of the poles (90°N/S). Distances along each parallel and along the...

soft sounds being increased in volume—parallel compression takes advantage of this difference. Unlike normal limiting and downward compression, fast transients...

or space. Given a line l and a point P not on l, right- and left-limiting parallels to l through P converge to l at ideal points. Unlike the projective...

one can define an ideal point or end to be an equivalence class of limiting parallel rays. The set of ends can then be topologized in a natural way and...

function evaluation for complex problems is often the most prohibitive and limiting segment of artificial evolutionary algorithms. Finding the optimal solution...

In power amplifiers this can cause the plates to glow red, or current limiting resistors to overheat, even fail. Similar considerations apply to component...

armature does not rotate, the counter EMF is zero and the only factor limiting the armature current is the armature resistance. As the prospective current...

A horocycle (a curve whose normal or perpendicular geodesics are limiting parallels, all converging asymptotically to the same ideal point), is a circle...

may be adjusted to change the way they affect sounds. Compression and limiting are identical in process but different in degree and perceived effect....

instance, with the VESA Local Bus which lacks the two least significant bits, limiting this bus to aligned 32-bit transfers. Historically, there were also some...