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  2. Hinge loss - Wikipedia

    en.wikipedia.org/wiki/Hinge_loss

    The vertical axis represents the value of the Hinge loss (in blue) and zero-one loss (in green) for fixed t = 1, while the horizontal axis represents the value of the prediction y. The plot shows that the Hinge loss penalizes predictions y < 1, corresponding to the notion of a margin in a support vector machine.

  3. Rotation around a fixed axis - Wikipedia

    en.wikipedia.org/wiki/Rotation_around_a_fixed_axis

    The angular momentum equation can be used to relate the moment of the resultant force on a body about an axis (sometimes called torque), and the rate of rotation about that axis. Torque and angular momentum are related according to τ = d L d t , {\displaystyle {\boldsymbol {\tau }}={\frac {d\mathbf {L} }{dt}},} just as F = d p / dt in linear ...

  4. P-delta effect - Wikipedia

    en.wikipedia.org/wiki/P-Delta_Effect

    NUMERICAL EXAMPLE OF P DELTA EFFECT ON A CALCULATOR You have a 1 meter tall rigid vertical rod that rotates on a hinge at the bottom of the rod. There is a 1 newton load on the top of the rod. The rod has a hinge with a rotational stiffness of 0.8 newton meters per radian of rotation. So you input any initial rotational angle on the rod.

  5. Loss functions for classification - Wikipedia

    en.wikipedia.org/wiki/Loss_functions_for...

    The square loss function is both convex and smooth. However, the square loss function tends to penalize outliers excessively, leading to slower convergence rates (with regards to sample complexity) than for the logistic loss or hinge loss functions. [1]

  6. Pendulum (mechanics) - Wikipedia

    en.wikipedia.org/wiki/Pendulum_(mechanics)

    The animations below depict the motion of a simple (frictionless) pendulum with increasing amounts of initial displacement of the bob, or equivalently increasing initial velocity. The small graph above each pendulum is the corresponding phase plane diagram; the horizontal axis is displacement and the vertical axis is velocity. With a large ...

  7. Y-intercept - Wikipedia

    en.wikipedia.org/wiki/Y-intercept

    Graph = with the -axis as the horizontal axis and the -axis as the vertical axis.The -intercept of () is indicated by the red dot at (=, =).. In analytic geometry, using the common convention that the horizontal axis represents a variable and the vertical axis represents a variable , a -intercept or vertical intercept is a point where the graph of a function or relation intersects the -axis of ...

  8. Scheimpflug principle - Wikipedia

    en.wikipedia.org/wiki/Scheimpflug_principle

    The axis of rotation has been given many different names: "counter axis" (Scheimpflug 1904), "hinge line" (Merklinger 1996), and "pivot point" (Wheeler). Refer to Figure 4; if a lens with focal length f is tilted by an angle θ relative to the image plane, the distance J [b] from the center of the lens to the axis G is given by

  9. Euler's Disk - Wikipedia

    en.wikipedia.org/wiki/Euler's_Disk

    Computer rendering of Euler's Disk on a slightly concave base Video of a rolling Euler’s disk (1:39 min.). Euler's Disk, invented between 1987 and 1990 by Joseph Bendik, [1] is a trademarked scientific educational toy. [2]

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