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  2. List of formulae involving π - Wikipedia

    en.wikipedia.org/wiki/List_of_formulae_involving_π

    where C is the circumference of a circle, d is the diameter, and r is the radius.More generally, = where L and w are, respectively, the perimeter and the width of any curve of constant width.

  3. 4Pi microscope - Wikipedia

    en.wikipedia.org/wiki/4Pi_Microscope

    A 4Pi microscope is a laser scanning fluorescence microscope with an improved axial resolution.With it the typical range of the axial resolution of 500–700 nm can be improved to 100–150 nm, which corresponds to an almost spherical focal spot with 5–7 times less volume than that of standard confocal microscopy.

  4. Moving sofa problem - Wikipedia

    en.wikipedia.org/wiki/Moving_sofa_problem

    The Hammersley sofa has area 2.2074 but is not the largest solution Gerver's sofa of area 2.2195 with 18 curve sections A telephone handset, a closer match than a sofa to Gerver's shape. A lower bound on the sofa constant can be proven by finding a specific shape of a high area and a path for moving it through the corner.

  5. 4Pi - Wikipedia

    en.wikipedia.org/wiki/4Pi

    IBM System/4 Pi, a family of avionics computers; 4Pi microscope, a microscope that uses interference and fluorescence computers; 4×π = 12.56637..., the solid angle of a complete sphere measured in steradians; Hermetic detector (also called a 4π detector)

  6. Lift (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Lift_(mathematics)

    A path in the projective plane is a continuous map from the unit interval [0,1]. We can lift such a path to the sphere by choosing one of the two sphere points mapping to the first point on the path, then maintain continuity. In this case, each of the two starting points forces a unique path on the sphere, the lift of the path in the projective ...

  7. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  8. Cat Can’t Fight Temptation to ‘Make Biscuits’ on Newborn ...

    www.aol.com/cat-t-fight-temptation-biscuits...

    Keeping your kids apart is tricky for a new mom, but when one of those kids is actually a touchy tabby cat it can really be hard. Poor Melanie has been working so hard to keep her cat Honey away ...

  9. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]