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  2. Drag curve - Wikipedia

    en.wikipedia.org/wiki/Drag_curve

    The tangent defines the minimum glide angle, for maximum range. The peak of the curve indicates the minimum sink rate, for maximum endurance (time in the air). Without power, a gliding aircraft has only gravity to propel it. At a glide angle of θ, the weight has two components, W.cos θ at right angles to the flight line and W.sin θ parallel ...

  3. Lie's theorem - Wikipedia

    en.wikipedia.org/wiki/Lie's_theorem

    In mathematics, specifically the theory of Lie algebras, Lie's theorem states that, [1] over an algebraically closed field of characteristic zero, if : is a finite-dimensional representation of a solvable Lie algebra, then there's a flag = = of invariant subspaces of () with ⁡ =, meaning that () for each and i.

  4. Ackermann steering geometry - Wikipedia

    en.wikipedia.org/wiki/Ackermann_steering_geometry

    Ackermann geometry. The Ackermann steering geometry is a geometric arrangement of linkages in the steering of a car or other vehicle designed to solve the problem of wheels on the inside and outside of a turn needing to trace out circles of different radii.

  5. Signal-flow graph - Wikipedia

    en.wikipedia.org/wiki/Signal-flow_graph

    A signal-flow graph or signal-flowgraph (SFG), invented by Claude Shannon, [1] but often called a Mason graph after Samuel Jefferson Mason who coined the term, [2] is a specialized flow graph, a directed graph in which nodes represent system variables, and branches (edges, arcs, or arrows) represent functional connections between pairs of nodes.

  6. Root locus analysis - Wikipedia

    en.wikipedia.org/wiki/Root_locus_analysis

    According to vector mathematics, the angle of the result of the rational polynomial is the sum of all the angles in the numerator minus the sum of all the angles in the denominator. So to test whether a point in the s-plane is on the root locus, only the angles to all the open loop poles and zeros need be considered. This is known as the angle ...

  7. State diagram - Wikipedia

    en.wikipedia.org/wiki/State_diagram

    A state diagram for a door that can only be opened and closed. A state diagram is used in computer science and related fields to describe the behavior of systems. State diagrams require that the system is composed of a finite number of states. Sometimes, this is indeed the case, while at other times this is a reasonable abstraction.

  8. Genetic code - Wikipedia

    en.wikipedia.org/wiki/Genetic_code

    The code emerges at a transition when the mapping of codons to amino acids becomes nonrandom. The code's emergence is governed by the topology defined by the probable errors and is related to the map coloring problem. [109] Game theory: Models based on signaling games combine elements of game theory, natural selection and information channels ...

  9. Cyclic quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Cyclic_quadrilateral

    Any square, rectangle, isosceles trapezoid, or antiparallelogram is cyclic. A kite is cyclic if and only if it has two right angles – a right kite.A bicentric quadrilateral is a cyclic quadrilateral that is also tangential and an ex-bicentric quadrilateral is a cyclic quadrilateral that is also ex-tangential.