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ISO / IEC 7810 sizes. Most banking cards and ID cards. Size may also be referred to as CR-80 or TD1 . Older-style ID cards. Visas. All card sizes have a thickness of 760 ± 80 μm, i.e. minimum 0.68 millimetres (0.027 in) and maximum 0.84 millimetres (0.033 in). The standard defines both metric and imperial measurements, noting that: [ 4]
In the most familiar acuity test, a Snellen chart is placed at a standard distance: 6 metres. At this distance, the symbols on the line representing "normal" acuity subtend an angle of five minutes of arc, and the thickness of the lines and of the spaces between the lines subtends one minute of arc. This line, designated 6/6 (or 20/20), is the ...
A Oscar Friedheim card cutting and scoring machine from 1889, capable of producing up to 100,000 visiting and business cards a day. Business cards are cards bearing business information about a company or individual. [ 1][ 2] They are shared during formal introductions as a convenience and a memory aid.
A 1951 USAF resolution test chart is a microscopic optical resolution test device originally defined by the U.S. Air Force MIL-STD-150A standard of 1951. The design provides numerous small target shapes exhibiting a stepped assortment of precise spatial frequency specimens. It is widely used in optical engineering laboratory work to analyze and ...
The most common size for index card in North America and the UK is 3 by 5 inches (76.2 by 127.0 mm), hence the common name 3-by-5 card.Other sizes widely available include 4 by 6 inches (101.6 by 152.4 mm), 5 by 8 inches (127.0 by 203.2 mm) and ISO-size A7 (74 by 105 mm or 2.9 by 4.1 in).
The discriminant B 2 – 4AC of the conic section's quadratic equation (or equivalently the determinant AC – B 2 /4 of the 2 × 2 matrix) and the quantity A + C (the trace of the 2 × 2 matrix) are invariant under arbitrary rotations and translations of the coordinate axes, [14] [15] [16] as is the determinant of the 3 × 3 matrix above.
In mathematics, the matrix representation of conic sections permits the tools of linear algebra to be used in the study of conic sections. It provides easy ways to calculate a conic section's axis, vertices, tangents and the pole and polar relationship between points and lines of the plane determined by the conic.
In Euclidean and projective geometry, five points determine a conic (a degree-2 plane curve), just as two (distinct) points determine a line (a degree-1 plane curve ). There are additional subtleties for conics that do not exist for lines, and thus the statement and its proof for conics are both more technical than for lines.
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