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  2. Quintuple meter - Wikipedia

    en.wikipedia.org/wiki/Quintuple_meter

    Simple quintuple meter can be written in 5 4 or 5 8 time, but may also be notated by using regularly alternating bars of triple and duple meters, for example 2 4 + 3 4.Compound quintuple meter, with each of its five beats divided into three parts, can similarly be notated using a time signature of 15

  3. Water pouring puzzle - Wikipedia

    en.wikipedia.org/wiki/Water_pouring_puzzle

    The simplest solution for 5 liters is (9,0) → (9,8) → (12,5); The simplest solution for 4 liters is (9,0) → (12,0) → (4,8). These solutions can be visualized by red and blue arrows in a Cartesian grid with diagonal lines (of slope -1 such that x + y = c o n s t . {\displaystyle x+y=const.} on these diagonal lines) spaced 4 liters apart ...

  4. Tape measure - Wikipedia

    en.wikipedia.org/wiki/Tape_measure

    A loosely riveted hook lets a tape measure measure inner (1) and outer (2) lengths. Measuring tapes designed for carpentry or construction often use a curved metallic ribbon that can remain stiff and straight when extended, but can also retract into a coil for convenient storage. This type of tape measure will have a hook on the end to aid ...

  5. Complete measure - Wikipedia

    en.wikipedia.org/wiki/Complete_measure

    Given a (possibly incomplete) measure space (X, Σ, μ), there is an extension (X, Σ 0, μ 0) of this measure space that is complete. [3] The smallest such extension (i.e. the smallest σ-algebra Σ 0) is called the completion of the measure space. The completion can be constructed as follows:

  6. Ind-completion - Wikipedia

    en.wikipedia.org/wiki/Ind-completion

    In mathematics, the ind-completion or ind-construction is the process of freely adding filtered colimits to a given category C. The objects in this ind-completed category, denoted Ind(C), are known as direct systems, they are functors from a small filtered category I to C. The dual concept is the pro-completion, Pro(C).

  7. Diameter tape - Wikipedia

    en.wikipedia.org/wiki/Diameter_tape

    To measure the diameter of a tree, the diameter tape (diameter side facing user) is wrapped around the tree, in the plane perpendicular to the axis of the trunk at 4.5 feet (1.4 m) above ground (or 4.27 feet (1.30 m), depending on the location) . Where the number "0" aligns with the rest of the tape, the diameter can be read directly from the ...

  8. Length measurement - Wikipedia

    en.wikipedia.org/wiki/Length_measurement

    Length measurement, distance measurement, or range measurement (ranging) all refer to the many ways in which length, distance, or range can be measured.The most commonly used approaches are the rulers, followed by transit-time methods and the interferometer methods based upon the speed of light.

  9. Quarter-inch cartridge - Wikipedia

    en.wikipedia.org/wiki/Quarter-inch_cartridge

    The tape was originally 1 ⁄ 4 inch (6.35 mm) wide and anywhere from 300 to 1,500 feet (91 to 457 m) long. Data is written linearly along the length of the tape in one track [ 1 ] (mostly on pre-1980 equipment), or written "serpentine", one track at a time, the drive reversing direction at the end of the tape, and each track's data written in ...