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2. Golden ratio - Wikipedia

   en.wikipedia.org/wiki/Golden_ratio

   The golden ratio's negative −φ and reciprocal φ−1 are the two roots of the quadratic polynomial x2 + x − 1. The golden ratio is also an algebraic number and even an algebraic integer. It has minimal polynomial. This quadratic polynomial has two roots, and. The golden ratio is also closely related to the polynomial.

3. Snellen chart - Wikipedia

   en.wikipedia.org/wiki/Snellen_chart

   Snellen chart. Purpose. Snellen chart is used to estimate visual acuity (last three rows are 20/15, 20/13 and 20/10) A Snellen chart is an eye chart that can be used to measure visual acuity. Snellen charts are named after the Dutch ophthalmologist Herman Snellen who developed the chart in 1862 as a measurement tool for the acuity formula ...

4. Harmonic series (mathematics) - Wikipedia

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

   Calculus. In mathematics, the harmonic series is the infinite series formed by summing all positive unit fractions : The first terms of the series sum to approximately , where is the natural logarithm and is the Euler–Mascheroni constant. Because the logarithm has arbitrarily large values, the harmonic series does not have a finite limit: it ...

5. Second moment of area - Wikipedia

   en.wikipedia.org/wiki/Second_moment_of_area

   An arbitrary shape. ρ is the distance to the element dA, with projections x and y on the x and y axes.. The second moment of area for an arbitrary shape R with respect to an arbitrary axis ′ (′ axis is not drawn in the adjacent image; is an axis coplanar with x and y axes and is perpendicular to the line segment) is defined as ′ = where

6. Darcy–Weisbach equation - Wikipedia

   en.wikipedia.org/wiki/Darcy–Weisbach_equation

   Most charts or tables indicate the type of friction factor, or at least provide the formula for the friction factor with laminar flow. If the formula for laminar flow is f = ⁠ 16 / Re ⁠ , it is the Fanning factor f , and if the formula for laminar flow is f D = ⁠ 64 / Re ⁠ , it is the Darcy–Weisbach factor f D .

7. Circle packing - Wikipedia

   en.wikipedia.org/wiki/Circle_packing

   It is also the densest possible packing of discs with this size ratio (ratio of 0.6375559772 with packing fraction (area density) of 0.910683). [8] There are also a range of problems which permit the sizes of the circles to be non-uniform.

8. Area of a circle - Wikipedia

   en.wikipedia.org/wiki/Area_of_a_circle

   The area of a regular polygon is half its perimeter multiplied by the distance from its center to its sides, and because the sequence tends to a circle, the corresponding formula–that the area is half the circumference times the radius–namely, A = ⁠ 1 2 ⁠ × 2πr × r, holds for a circle.

9. List of definite integrals - Wikipedia

   en.wikipedia.org/wiki/List_of_definite_integrals

   e. In mathematics, the definite integral. is the area of the region in the xy -plane bounded by the graph of f, the x -axis, and the lines x = a and x = b, such that area above the x -axis adds to the total, and that below the x -axis subtracts from the total. The fundamental theorem of calculus establishes the relationship between indefinite ...