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  2. Snake lemma - Wikipedia

    en.wikipedia.org/wiki/Snake_lemma

    The snake lemma is a tool used in mathematics, particularly homological algebra, to construct long exact sequences. The snake lemma is valid in every abelian category and is a crucial tool in homological algebra and its applications, for instance in algebraic topology. Homomorphisms constructed with its help are generally called connecting ...

  3. Gosper curve - Wikipedia

    en.wikipedia.org/wiki/Gosper_curve

    The Gosper curve, named after Bill Gosper, also known as the Peano-Gosper Curve[1] and the flowsnake (a spoonerism of snowflake), is a space-filling curve whose limit set is rep -7. It is a fractal curve similar in its construction to the dragon curve and the Hilbert curve. The Gosper curve can also be used for efficient hierarchical hexagonal ...

  4. Snell's law - Wikipedia

    en.wikipedia.org/wiki/Snell's_law

    Snell's law. Refraction of light at the interface between two media of different refractive indices, with n 2 > n 1. Since the velocity is lower in the second medium (v 2 < v 1), the angle of refraction θ 2 is less than the angle of incidence θ 1; that is, the ray in the higher-index medium is closer to the normal.

  5. Active contour model - Wikipedia

    en.wikipedia.org/wiki/Active_contour_model

    A snake originating far from the desired object contour may erroneously converge to some local minimum. Scale space continuation can be used in order to avoid these local minima. This is achieved by using a blur filter on the image and reducing the amount of blur as the calculation progresses to refine the fit of the snake.

  6. Sinuosity - Wikipedia

    en.wikipedia.org/wiki/Sinuosity

    Sinuosity, sinuosity index, or sinuosity coefficient of a continuously differentiable curve having at least one inflection point is the ratio of the curvilinear length (along the curve) and the Euclidean distance (straight line) between the end points of the curve.

  7. Brain–body mass ratio - Wikipedia

    en.wikipedia.org/wiki/Brain–body_mass_ratio

    Brain–body mass ratio. Brain–body mass ratio, also known as the brain–body weight ratio, is the ratio of brain mass to body mass, which is hypothesized to be a rough estimate of the intelligence of an animal, although fairly inaccurate in many cases. A more complex measurement, encephalization quotient, takes into account allometric ...

  8. Generating function - Wikipedia

    en.wikipedia.org/wiki/Generating_function

    In mathematics, a generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series. Generating functions are often expressed in closed form (rather than as a series), by some expression involving operations on the formal series. There are various types of generating functions, including ...

  9. HP 49/50 series - Wikipedia

    en.wikipedia.org/wiki/HP_49/50_series

    The HP 49/50 series are Hewlett-Packard (HP) manufactured graphing calculators. They are the successors of the HP 48 series. There are five calculators in the 49/50 series of HP graphing calculators. These calculators have both algebraic and RPN entry modes, and can perform numeric and symbolic calculations using the built-in Computer Algebra ...