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is the diameter of the volume equivalent spherical particle; V 0 {\displaystyle V_{\mathrm {0} }} is the superficial or "empty-tower" velocity which is directly proportional to the average volumetric fluid flux in the channels (q), and porosity ( ε {\displaystyle \mathbf {\varepsilon } } ).
Illustration of a unit circle. The variable t is an angle measure. Animation of the act of unrolling the circumference of a unit circle, a circle with radius of 1. Since C = 2πr, the circumference of a unit circle is 2π.
Thales’ theorem: if AC is a diameter and B is a point on the diameter's circle, the angle ∠ ABC is a right angle.. In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ∠ ABC is a right angle.
PR is the diameter of a circle centered on O; its radius AO is the arithmetic mean of a and b. Using the geometric mean theorem, triangle PGR's altitude GQ is the geometric mean. For any ratio a:b, AO ≥ GQ. A semicircle can be used to construct the arithmetic and geometric means of two lengths using straight-edge and compass.
Diameter of the Local Supercluster and the largest voids and filaments 2.8 Ym End of Greatness ~5 Ym Diameter of the Horologium Supercluster [50] 9.461 Ym: Diameter of the Pisces–Cetus Supercluster Complex, the supercluster complex which includes Earth 10 25: 10 Ym: 13 Ym Length of the Sloan Great Wall, a giant wall of galaxies (galactic ...
A magic square is an arrangement of numbers in a square grid so that the sum of the numbers along every row, column, and diagonal is the same. Similarly, one may define a magic cube to be an arrangement of numbers in a cubical grid so that the sum of the numbers on the four space diagonals must be the same as the sum of the numbers in each row, each column, and each pillar.
Some 1-spheres: ‖x‖ 2 is the norm for Euclidean space. In mathematics, a unit sphere is a sphere of unit radius: the set of points at Euclidean distance 1 from some center point in three-dimensional space.
For laminar flow in a circular pipe of diameter , the friction factor is inversely proportional to the Reynolds number alone (f D = 64 / Re ) which itself can be expressed in terms of easily measured or published physical quantities (see section below). Making this substitution the Darcy–Weisbach equation is rewritten as