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In mathematics, a branched surface is a generalization of both surfaces and train tracks. A surface is a space that locally looks like R 2 {\displaystyle...

where these double curves intersect transversally, is a branched two-manifold, or branched surface. For example, consider the space K obtained from 3 copies...

Incompressible surface Dehn's lemma Loop theorem (aka the Disk theorem) Sphere theorem Haken manifold JSJ decomposition Branched surface Lamination Examples...

flame, consists of microscopic droplets of amorphous silica fused into branched, chainlike, three-dimensional secondary particles which then agglomerate...

termed topography. Surface anatomy deals with anatomical features that can be studied by sight, without dissection. As such, it is a branch of gross anatomy...

[citation needed] An increased surface area to volume ratio also means increased exposure to the environment. The finely-branched appendages of filter feeders...

Anti-surface warfare (ASuW or ASUW) is the branch of naval warfare concerned with the suppression of surface combatants. More generally, it is any weapons...

surface is a connected one-dimensional complex manifold. These surfaces were first studied by and are named after Bernhard Riemann. Riemann surfaces can...

The Seven-Branched Sword (Japanese: 七支刀, Hepburn: Shichishitō) is a ceremonial sword believed to be a gift from the king of Baekje to a Yamato ruler. It...

pancreas. The renal surface is directed medialward and downward. It is somewhat flattened, considerably narrower than the gastric surface, and is in relation...

Surface combatants (or surface ships or surface vessels) are a subset of naval warships which are designed for warfare on the surface of the water, with...

The SEPTA subway–surface trolley lines are a collection of five SEPTA trolley lines that operate on street-level tracks in West Philadelphia and Delaware...

Branched-chain amino acid aminotransferase (BCAT), also known as branched-chain amino acid transaminase, is an aminotransferase enzyme (EC 2.6.1.42) which...

solid support it can be detected by branched DNA which is coupled to an enzyme (e.g. alkaline phosphatase). The branched DNA binds to the sample nucleic acid...

a tall, perennial herb with rhizomes. Its stems are densely tomentose, branched, round in cross section, and range up to 1.2 m (3 ft 11 in) in height,...

Lichtenberg-Figur), or Lichtenberg dust figure, is a branching electric discharge that sometimes appears on the surface or in the interior of insulating materials...

from the del Pezzo surface to the projective plane, branched over a quartic plane curve. This map is generically 2 to 1, so this surface is sometimes called...

pyramid-shaped; has an orbital, a nasal, an infratemporal, and a facial surface; contains the maxillary sinus. Four processes: the zygomatic process the...

surface tension or interfacial tension between two liquids, a liquid and a gas, or a liquid and a solid. The word "surfactant" is a blend of surface-active...

K3 surfaces" all have Kodaira dimension 1. The double cover X of the projective plane branched along a smooth sextic (degree 6) curve is a K3 surface of...