monster
发表于 2025-3-21 19:16:35
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Lobotomy
发表于 2025-3-21 21:27:08
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Firefly
发表于 2025-3-22 02:48:21
Finding Fibonacci in a Fractal,he fractal dimension using the Box Counting Theorem and also the concept of similitude. We find affine transformations that generate some of the set of points that are in the fractal, which have the form .x + . for a pair of two matrices .. and .. and some vectors x, .. and ... We denote these trans
Antioxidant
发表于 2025-3-22 04:53:06
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详细目录
发表于 2025-3-22 11:04:19
Pythagorean Quadrilaterals,l solutions are well classified, and numerous generalizations have been thoroughly studied. Lagrange proved that every positive integer was the sum of 4 squares of integers. Waring conjectured and Hilbert proved that for every positive integer . there was a constant .(.) such that every
Colonoscopy
发表于 2025-3-22 15:39:59
Ordering Words and Sets of Numbers: The Fibonacci Case, . = (0, 1, 2, 4, 5, 8, 9, 10, 16, ...) that has remarkable connections with the sequence of Fibonacci numbers. For example, the positions of the even numbers in . are the positions of the 0’s in the infinite Fibonacci word, which begins with 0100010100. This ordering also matches that of the set of
STING
发表于 2025-3-22 17:57:03
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沉默
发表于 2025-3-22 23:04:16
Cullen Numbers in Binary Recurrent Sequences,see and ) for all 1 ≤ . < 412000, except for . = 1, 141, 4713, 5795, 6611, 18496, 32292, 32469, 59656, 90825, 262419, 361275. John Conway (cited in ) observes that the Cullen number .. is divisible by . = 2. - 1 if . is a prime of the form 8.±3. Hooley showed that almost all Cullen nu
都相信我的话
发表于 2025-3-23 04:03:41
,A Generalization of Euler’s Formula and its Connection to Fibonacci Numbers,t, and to higher dimensions. Let an .-cube with .-dimensional volume 1 consist of all .-tuples (.., .., ..., ..) where each .., . = 1, ..., . satisfies 0 ≤ .. ≤ 1. The boundary points of the .-cube are the vertices, which we will call 0-cubes to indicate that they are 0-dimensional. For each such ve
Euthyroid
发表于 2025-3-23 08:35:37
Extensions of Generalized Binomial Coefficients,en . for ., . ≥ 0 and . ≥ 1, as the number of ways . objects can be placed in . cells, each of which holds a maximum of . - 1 objects. The ordinary binomial coefficients are obtained when . = 2. This description tacitly assumes that empty cells produce distinct arrangements, that the objects are pla