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  2. Clockwise - Wikipedia

    en.wikipedia.org/wiki/Clockwise

    A circle defined parametrically in a positive Cartesian plane by the equations x = cos t and y = sin t is traced counterclockwise as the angle t increases in value, from the right-most point at t = 0. An alternative formulation with sin and cos swapped gives a clockwise trace from the upper-most point, where t can be considered akin to a ...

  3. Coin rotation paradox - Wikipedia

    en.wikipedia.org/wiki/Coin_rotation_paradox

    The outer coin makes two rotations rolling once around the inner coin. The path of a single point on the edge of the moving coin is a cardioid.. The coin rotation paradox is the counter-intuitive math problem that, when one coin is rolled around the rim of another coin of equal size, the moving coin completes not one but two full rotations after going all the way around the stationary coin ...

  4. Rotation - Wikipedia

    en.wikipedia.org/wiki/Rotation

    A sphere rotating (spinning) about an axis. Rotation or rotational motion is the circular movement of an object around a central line, known as an axis of rotation.A plane figure can rotate in either a clockwise or counterclockwise sense around a perpendicular axis intersecting anywhere inside or outside the figure at a center of rotation.

  5. Wick rotation - Wikipedia

    en.wikipedia.org/wiki/Wick_rotation

    The Schrödinger equation and the heat equation are also related by Wick rotation. Wick rotation also relates a quantum field theory at a finite inverse temperature β to a statistical-mechanical model over the "tube" R 3 × S 1 with the imaginary time coordinate τ being periodic with period β. However, there is a slight difference.

  6. 5-ish things to watch in the first round of the College ...

    www.aol.com/5-ish-things-watch-first-110045665.html

    It’s a cardinal rule of football to focus on the game and opponent in front of you each week, but it’s been hard for fans and analysts not to peek ahead at what awaits the Longhorns.

  7. 11-Year-Old Girl Who Tried to Save Boy, 12, After He Fell ...

    www.aol.com/lifestyle/11-old-girl-tried-save...

    An 11-year-old girl who was taken to a hospital in critical condition after attempting to save her 12-year-old classmate's life when he fell through the surface of an icy upstate New York lake has ...

  8. Problem of Apollonius - Wikipedia

    en.wikipedia.org/wiki/Problem_of_Apollonius

    When multiplied out, all three equations have x s 2 + y s 2 on the left-hand side, and r s 2 on the right-hand side. Subtracting one equation from another eliminates these quadratic terms; the remaining linear terms may be re-arranged to yield formulae for the coordinates x s and y s = + = +

  9. This Christmas, ask for genetic testing. It could save your life.

    www.aol.com/christmas-ask-genetic-testing-could...

    Patients are typically offered testing if they have either a personal or family history of cancer that meets certain criteria, Zakalik adds. Those criteria have broadened over the last few years ...

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