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  2. List of open-source software for mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_open-source...

    SageMath is designed partially as a free alternative to the general-purpose mathematics products Maple and MATLAB. It can be downloaded or used through a web site. SageMath comprises a variety of other free packages, with a common interface and language. SageMath is developed in Python.

  3. Matrix representation of conic sections - Wikipedia

    en.wikipedia.org/wiki/Matrix_representation_of...

    In mathematics, the matrix representation of conic sections permits the tools of linear algebra to be used in the study of conic sections.It provides easy ways to calculate a conic section's axis, vertices, tangents and the pole and polar relationship between points and lines of the plane determined by the conic.

  4. Taylor–Maccoll flow - Wikipedia

    en.wikipedia.org/wiki/Taylor–Maccoll_flow

    A conical shock wave can form in this situation, with the vertex of the shock wave lying at the vertex of the solid cone. If it were a two-dimensional problem, i.e., for a supersonic flow past a wedge, then the incoming stream would have deflected through an angle χ {\displaystyle \chi } upon crossing the shock wave so that streamlines behind ...

  5. Squeeze bore - Wikipedia

    en.wikipedia.org/wiki/Squeeze_bore

    The original patent filed by Hermann Gerlich in 1932 [6]. The squeeze bore concept was first patented by German inventor Carl Puff in 1903, [7] [8] even though the general principle was known already in 19th century and later applied in lighter fashion on Armstrong guns, on which only the muzzle yet not the barrel itself was of slightly smaller diameter (to cast off the sealing leather-bag ...

  6. Conic constant - Wikipedia

    en.wikipedia.org/wiki/Conic_constant

    An illustration of various conic constants. In geometry, the conic constant (or Schwarzschild constant, [1] after Karl Schwarzschild) is a quantity describing conic sections, and is represented by the letter K.

  7. de Laval nozzle - Wikipedia

    en.wikipedia.org/wiki/De_Laval_nozzle

    Diagram of a de Laval nozzle, showing approximate flow velocity (v), together with the effect on temperature (T) and pressure (p) A de Laval nozzle (or convergent-divergent nozzle, CD nozzle or con-di nozzle) is a tube which is pinched in the middle, with a rapid convergence and gradual divergence.

  8. Torricelli's law - Wikipedia

    en.wikipedia.org/wiki/Torricelli's_law

    Torricelli's argumentation is, as a matter of fact, wrong because the pressure in free jet is the surrounding atmospheric pressure, while the pressure in a communicating vessel is the hydrostatic pressure. At that time the concept of pressure was unknown.

  9. Cavalieri's principle - Wikipedia

    en.wikipedia.org/wiki/Cavalieri's_principle

    In the 3rd century BC, Archimedes, using a method resembling Cavalieri's principle, [5] was able to find the volume of a sphere given the volumes of a cone and cylinder in his work The Method of Mechanical Theorems. In the 5th century AD, Zu Chongzhi and his son Zu Gengzhi established a similar method to find a sphere's volume. [2]

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    conical tank calculus pdf download free for windows 10 users guide pdf file