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Also bear in mind that the fraction 2/3 is the single exception, used in addition to integers, that Ahmes uses alongside all (positive) rational unit fractions to express Egyptian fractions. The 2/n table can be said to partially follow an algorithm (see problem 61B) for expressing 2/n as an Egyptian fraction of 2 terms, when n is composite.
v. t. e. A mimeograph machine (often abbreviated to mimeo, sometimes called a stencil duplicator or stencil machine) was a low-cost duplicating machine that worked by forcing ink through a stencil onto paper. [ 1] The process was called mimeography, and a copy made by the process was a mimeograph . Mimeographs, along with spirit duplicators and ...
Duplicating machines were the predecessors of modern document-reproduction technology. They have now been replaced by digital duplicators, scanners, laser printers and photocopiers, but for many years they were the primary means of reproducing documents for limited-run distribution. The duplicator was pioneered by Thomas Edison and David ...
The duty cycle is defined as the ratio between the pulse duration, or pulse width ( ) and the period ( ) of a rectangular waveform. Spectrum in relation to duty cycle. A duty cycle or power cycle is the fraction of one period in which a signal or system is active. [ 1][ 2][ 3] Duty cycle is commonly expressed as a percentage or a ratio. A ...
Characterise word-representable near-triangulations containing the complete graph K 4 (such a characterisation is known for K 4-free planar graphs [130]) Classify graphs with representation number 3, that is, graphs that can be represented using 3 copies of each letter, but cannot be represented using 2 copies of each letter [ 131 ]
The napkin folding problem is the problem of whether a square or rectangle of paper can be folded so the perimeter of the flat figure is greater than that of the original square. The placement of a point on a curved fold in the pattern may require the solution of elliptic integrals.
An a × b rectangle can be packed with 1 × n strips if and only if n divides a or n divides b. [ 15 ] [ 16 ] de Bruijn's theorem : A box can be packed with a harmonic brick a × a b × a b c if the box has dimensions a p × a b q × a b c r for some natural numbers p , q , r (i.e., the box is a multiple of the brick.) [ 15 ]
Quantum cloning. Quantum cloning is a process that takes an arbitrary, unknown quantum state and makes an exact copy without altering the original state in any way. Quantum cloning is forbidden by the laws of quantum mechanics as shown by the no cloning theorem, which states that there is no operation for cloning any arbitrary state perfectly.
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