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Bifurcation DiagramB
Bifurcation or bifurcated may refer to: Science and technology * Bifurcation theory, the study of sudden changes in dynamical systems ** Bifurcation, of an incompressible flow, modeled by squeeze mapping the fluid flow * River bifurcation, the forking of a river into its distributaries * Bifurcation lake, a lake that flows into two different drainage basins * Bifurcated bonding, a single hydrogen atom participates in two hydrogen bonds * Bifurcated stick grip, a type of aircraft control column Other uses * Bifurcation (law), the division of issues in a trial See also * Aortic bifurcation, the point at which the abdominal aorta bifurcates into the left and right common iliac arteries * Tracheal bifurcation, or the carina of trachea (Latin: ''bifurcatio tracheae'') * Bifurcation diagram * Bifurcate merging, a kinship system * False dilemma A false dilemma, also referred to as false dichotomy or false binary, is an informal fallacy based on a premise that erroneously limits wha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bifurcation Theory
Bifurcation theory is the Mathematics, mathematical study of changes in the qualitative or topological structure of a given family of curves, such as the integral curves of a family of vector fields, and the solutions of a family of differential equations. Most commonly applied to the mathematics, mathematical study of dynamical systems, a bifurcation occurs when a small smooth change made to the parameter values (the bifurcation parameters) of a system causes a sudden 'qualitative' or topological change in its behavior. Bifurcations occur in both continuous systems (described by Ordinary differential equation, ordinary, Delay differential equation, delay or Partial differential equation, partial differential equations) and discrete systems (described by maps). The name "bifurcation" was first introduced by Henri Poincaré in 1885 in the first paper in mathematics showing such a behavior. Bifurcation types It is useful to divide bifurcations into two principal classes: * Local bif ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Squeeze Mapping
In linear algebra, a squeeze mapping, also called a squeeze transformation, is a type of linear map that preserves Euclidean area of regions in the Cartesian plane, but is ''not'' a rotation (mathematics), rotation or shear mapping. For a fixed positive real number , the mapping :(x, y) \mapsto (ax, y/a) is the ''squeeze mapping'' with parameter . Since :\ is a hyperbola, if and , then and the points of the image of the squeeze mapping are on the same hyperbola as is. For this reason it is natural to think of the squeeze mapping as a hyperbolic rotation, as did Émile Borel in 1914, by analogy with ''circular rotations'', which preserve circles. Logarithm and hyperbolic angle The squeeze mapping sets the stage for development of the concept of logarithms. The problem of finding the area bounded by a hyperbola (such as is one of quadrature (mathematics), quadrature. The solution, found by Grégoire de Saint-Vincent and Alphonse Antonio de Sarasa in 1647, required the natura ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
River Bifurcation
River bifurcation (from , fork) occurs when a river (a ''bifurcating river'') flowing in a single channel (hydrology), channel separates into two or more separate streams (called distributary, ''distributaries'') which then continue downstream (hydrology), downstream. Some rivers form complex networks of distributaries, typically in their delta (river), deltas. If the streams eventually merge again or empty into the same body of water, then the bifurcation forms a river island. River bifurcation may be temporary or semi-permanent, depending on the strength of the material that is dividing the two distributaries. For example, a mid-stream island of soil or silt in a delta is most likely temporary, due to low material strength. A location where a river divides around a rock fin, e.g. a volcanically formed Dike (geology), dike, or a mountain, may be more lasting as a result of higher material strength and resistance to weathering and erosion. A bifurcation may also be man-made, for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Distributary
A distributary, or a distributary channel is a stream channel that branches off and flows a main stream channel. It is the opposite of a ''tributary'', a stream that flows another stream or river. Distributaries are a result of river bifurcation and are often found where a river approaches a lake or an ocean and divides into distributary networks; as such they are a common feature of river deltas. They can also occur inland, on alluvial fans, or where a tributary stream bifurcates as it nears its confluence with a larger stream. In some cases, a minor distributary can divert so much water from the main channel that it can later become the main route. Related terms Common terms to name individual river distributaries in English-speaking countries are ''arm'' and ''channel''. These terms may refer to a distributary that does not rejoin the channel from which it has branched (e.g., the North, Middle, and South Arms of the Fraser River, or the West Channel of the Mackenzie River ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bifurcation Lake
A lake bifurcation occurs when a lake (a ''bifurcating lake'') has Outflow (hydrology), outflows into two different drainage basins. In this case, the drainage divide cannot be defined exactly, as it is situated in the middle of the lake. Examples Vesijako (the name ''Vesijako'' actually means "drainage divide") and Lummene in the Finnish Lakeland are two nearby lakes in Finland. Both drain in two directions: into the Kymijoki basin that drains into the Gulf of Finland and into the Kokemäenjoki basin that drains into the Gulf of Bothnia. Similarly the lakes Isojärvi (Satakunta), Isojärvi and Inhottu in the Karvianjoki basin in the Satakunta region of western Finland both have two outlets: from Inhottu the waters flow into the Gulf of Bothnia through the Eteläjoki River in Pori and into lake Isojärvi through the Pomarkunjoki River. From lake Isojärvi the waters flow to the Gulf of Bothnia through the Pohjajoki river in Pori and through the Merikarvianjoki river in Merikarv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bifurcated Bonding
In chemistry, a hydrogen bond (H-bond) is a specific type of molecular interaction that exhibits partial covalent character and cannot be described as a purely electrostatic force. It occurs when a hydrogen (H) atom, covalently bonded to a more electronegative donor atom or group (Dn), interacts with another electronegative atom bearing a lone pair of electrons—the hydrogen bond acceptor (Ac). Unlike simple dipole–dipole interactions, hydrogen bonding arises from charge transfer (nB → σ*AH), orbital interactions, and quantum mechanical delocalization, making it a resonance-assisted interaction rather than a mere electrostatic attraction. The general notation for hydrogen bonding is Dn−H···Ac, where the solid line represents a polar covalent bond, and the dotted or dashed line indicates the hydrogen bond. The most frequent donor and acceptor atoms are nitrogen (N), oxygen (O), and fluorine (F), due to their high electronegativity and ability to engage in stronger ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Centre Stick
A centre stick (or center stick in the United States), or simply control stick, is an aircraft cockpit arrangement where the control column (or joystick) is located in the center of the cockpit either between the pilot's legs or between the pilots' positions. Since the throttle controls are typically located to the left of the pilot, the right hand is used for the stick, although left-hand or both-hands operation is possible if required.Crane, Dale: ''Dictionary of Aeronautical Terms, third edition'', page 132. Aviation Supplies & Academics, 1997. . The centre stick is a part of an aircraft's flight control system and is typically linked to its ailerons and elevators, or alternatively to its elevons, by control rods or control cables on basic aircraft. On heavier, faster, more advanced aircraft the centre stick may also control power-assist modules. Modern aircraft centre sticks are also usually equipped with a number of electrical control switches within easy finger reach, in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bifurcation (law)
Bifurcation is a judge's ability in law to divide a trial into two parts so as to render a judgment on a set of legal issues without looking at all aspects. Frequently, civil cases are bifurcated into separate liability and damages proceedings. Criminal trials are also often bifurcated into guilt and sentencing phases, especially in capital cases. In divorce cases, some states allow bifurcation, that permits a divorce case to be finalized with certain aspects, such as property, to be dealt with after dissolution. Some states permit bifurcation, some do not allow it, and some state statutes do not address the issue. In arbitration, bifurcation can be used to get past certain issues, that might otherwise stall negotiations, concluding certain points that are agreed upon, while working on a solution to whatever problem initiated the need for bifurcation. Bifurcation under the Federal Rules of Civil Procedure In Federal Court, judges have wide discretion to structure trials. Fac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aortic Bifurcation
The aortic bifurcation is the point at which the abdominal aorta bifurcates (forks) into the left and right common iliac arteries. The aortic bifurcation is usually seen at the level of L4, just above the junction of the left and right common iliac veins. The right common iliac artery passes in front of the left common iliac vein. In some individuals, mainly women with lumbar lordosis, this vein can be compressed between the vertebra and the artery. This is the so-called Cockett syndrome or May–Thurner syndrome can cause a slower venous flow and the possibility of deep venous thrombosis in the left leg mainly in pregnancy. In surface anatomy, the bifurcation approximately corresponds to the umbilicus. Additional images Image:Gray531.png, The abdominal aorta and its branches. Image:Gray847.png, Abdominal portion of the sympathetic trunk, with the celiac and hypogastric plexuses. Image:Gray1121.png, Posterior abdominal wall, after removal of the peritoneum, showi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tracheal Bifurcation
The carina of trachea (also: "tracheal carina") is a ridge of cartilage at the base of the trachea separating the openings of the left and right main bronchi. Structure The carina is a cartilaginous ridge separating the left and right main bronchi that is formed by the inferior-ward and posterior-ward prolongation of the inferior-most tracheal cartilage. The carina occurs at the lower end of the trachea - usually at the level of the 4th to 5th thoracic vertebra. This is in line with the sternal angle, but the carina may raise or descend up to two vertebrae higher or lower with breathing. The carina lies to the left of the midline, and runs antero-posteriorly (front to back). Blood supply The bronchial arteries supply the carina and the rest of the lower trachea. Relations The carina is around the area posterior to where the aortic arch crosses to the left of the trachea. The azygos vein crosses right to the trachea above the carina. Physiology The mucous membrane ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bifurcation Diagram
In mathematics, particularly in dynamical systems, a bifurcation diagram shows the values visited or approached asymptotically ( fixed points, periodic orbits, or chaotic attractors) of a system as a function of a bifurcation parameter in the system. It is usual to represent stable values with a solid line and unstable values with a dotted line, although often the unstable points are omitted. Bifurcation diagrams enable the visualization of bifurcation theory. In the context of discrete-time dynamical systems, the diagram is also called orbit diagram. Logistic map An example is the bifurcation diagram of the logistic map: x_=rx_n(1-x_n). The bifurcation parameter ''r'' is shown on the horizontal axis of the plot and the vertical axis shows the set of values of the logistic function visited asymptotically from almost all initial conditions. The bifurcation diagram shows the forking of the periods of stable orbits from 1 to 2 to 4 to 8 etc. Each of these bifurcation poi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bifurcate Merging
Iroquois kinship (also known as bifurcate merging) is a kinship system named after the Haudenosaunee people, also known as the ''Iroquois'', whose kinship system was the first one described to use this particular type of system. Identified by Lewis Henry Morgan in his 1871 work '' Systems of Consanguinity and Affinity of the Human Family'', the Iroquois system is one of the six major kinship systems (Eskimo, Hawaiian, Iroquois, Crow, Omaha, and Sudanese). Kinship system The system has both classificatory and descriptive terms. In addition to gender and generation, Iroquois kinship also distinguishes 'same-sex' and 'cross-sex' parental siblings: the brothers of Ego's (the subject from whose perspective the kinship is based) father, and the sisters of Ego's mother, are referred to by the same parental kinship terms used for Ego's Father and Mother. The sisters of Ego's father, and the brothers of Ego's mother, on the other hand, are referred to by non-parental kinship terms, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
