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The Mathematical Gazette, 1965
Consider a square array of 25 grid squares, the grid squares being of two types distinguished by the colours black and white. A basic square of four adjacent grid squares can be selected from such a square array in 16 possible ways.
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Consider a square array of 25 grid squares, the grid squares being of two types distinguished by the colours black and white. A basic square of four adjacent grid squares can be selected from such a square array in 16 possible ways.
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Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences, 2012
The origin and development of Punnett's Square for the enumeration and display of genotypes arising in a cross in Mendelian genetics is described. Due to R. C. Punnett, the idea evolved through the work of the 'Cambridge geneticists', including Punnett's colleagues William Bateson, E. R. Saunders and R. H.
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The origin and development of Punnett's Square for the enumeration and display of genotypes arising in a cross in Mendelian genetics is described. Due to R. C. Punnett, the idea evolved through the work of the 'Cambridge geneticists', including Punnett's colleagues William Bateson, E. R. Saunders and R. H.
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2011
A square involution is a square permutation which is also an involution. The authors prove that the number of square involutions of length \(n\) is \[ (n+2)2^{n-3}-(n-2)\binom{n-3}{\lfloor \frac{n-3}{2}\rfloor},n\geq 3. \]
F. Disanto, FROSINI, ANDREA, S. Rinaldi
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A square involution is a square permutation which is also an involution. The authors prove that the number of square involutions of length \(n\) is \[ (n+2)2^{n-3}-(n-2)\binom{n-3}{\lfloor \frac{n-3}{2}\rfloor},n\geq 3. \]
F. Disanto, FROSINI, ANDREA, S. Rinaldi
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Coin Weighing: Square Squaring
1998One type of problem that we all “teethed on” in our mathematical youth was the so-called weighing problem. We learned therein the valuable lesson of “branching” procedures: if this and this happens, then we do that and that, but if it does not happen, then instead we do such and such.
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Squaring Rectangles and Squares
The American Mathematical Monthly, 1973N. D. Kazarinoff, Roger Weitzenkamp
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Although infinity is not an explicit object of study in middle school, we hypothesized that programming in Scratch and working with programs involving iterative processes could provide an opportunity to address, explicitly with students, the notion of potential infinity that is implicitly present in iterative processes.
Boulais, Pascale +3 more
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Boulais, Pascale +3 more
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