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  1. 3 dni temu · Arc length of a full circle is its circumference, but what about the arc length of sectors (pieces of circles)? They are calculated by a formula \(S=r\theta,\) where \(S\) is the arc length, \(r\) is the radius of the circle, and \(\theta\) is the angle of the sector.

  2. 3 dni temu · The length of a polar curve can be calculated with an arc length integral. For a polar curve \( r = f(\theta ) \), given that the polar curve's first derivative is everywhere continuous, and the domain does not cause the polar curve to retrace itself, the arc length on \( \alpha \leqslant \theta \leqslant \beta \) is given by

  3. en.wikipedia.org › wiki › HyperbolaHyperbola - Wikipedia

    2 dni temu · In mathematics, a hyperbola (/ h aɪ ˈ p ɜːr b ə l ə / ⓘ; pl. hyperbolas or hyperbolae /-l iː / ⓘ; adj. hyperbolic / ˌ h aɪ p ər ˈ b ɒ l ɪ k / ⓘ) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.

  4. en.wikipedia.org › wiki › DerivativeDerivative - Wikipedia

    2 dni temu · The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. The tangent line is the best linear approximation of the function near that input value.

  5. 4 dni temu · It is also called arc length. It can be found out using cv.arcLength() function. Second argument specify whether shape is a closed contour (if passed True), or just a curve.

  6. en.wikipedia.org › wiki › EllipseEllipse - Wikipedia

    2 dni temu · The midpoint of the line segment joining the foci is called the center of the ellipse. The line through the foci is called the major axis, and the line perpendicular to it through the center is the minor axis. The major axis intersects the ellipse at two vertices,, which have distance to the center. The distance of the foci to the center is called the focal distance or linear eccentricity.

  7. 3 dni temu · Introducing Llama 3.1. Llama 3.1 405B is the first openly available model that rivals the top AI models when it comes to state-of-the-art capabilities in general knowledge, steerability, math, tool use, and multilingual translation. With the release of the 405B model, we’re poised to supercharge innovation—with unprecedented opportunities ...

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