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In mathematics, Hausdorff dimension is a measure of roughness, or more specifically, fractal dimension, that was introduced in 1918 by mathematician Felix Hausdorff. For instance, the Hausdorff dimension of a single point is zero, of a line segment is 1, of a square is 2, and of a cube is 3. That is, for sets of points that define a smooth shape or a shape that has a small number of corners—the shapes of traditional geometry and science—the Hausdorff dimension is an integer agreeing with the usual sense of dimension, also known as the topological dimension. However, formulas have also been developed that allow calculation of the dimension of other less simple objects, where, solely on the basis of their properties of scaling and self-similarity, one is led to the conclusion that particular objects—including fractals—have non-integer Hausdorff dimensions. Because of the significant technical advances made by Abram Samoilovitch Besicovitch allowing computation of dimensions for highly irregular or "rough" sets, this dimension is also commonly referred to as the Hausdorff–Besicovitch dimension.
Abram Samoilovitch Besicovitch was a Russian mathematician, who worked mainly in England. He was born in Berdyansk on the Sea of Azov to a Karaite Jewish family.
In mathematics, the Weierstrass function is an example of a real-valued function that is continuous everywhere but differentiable nowhere. It is an example of a fractal curve. It is named after its discoverer Karl Weierstrass.
Richard Kenneth Guy was a British mathematician. He was a professor in the Department of Mathematics at the University of Calgary. He is known for his work in number theory, geometry, recreational mathematics, combinatorics, and graph theory. He is best known for co-authorship of Winning Ways for your Mathematical Plays and authorship of Unsolved Problems in Number Theory. He published more than 300 scholarly articles. Guy proposed the partially tongue-in-cheek "strong law of small numbers", which says there are not enough small integers available for the many tasks assigned to them – thus explaining many coincidences and patterns found among numerous cultures. For this paper he received the MAA Lester R. Ford Award.
Michael William McCrum CBE was an English academic and ancient historian who served as Vice-Chancellor of the University of Cambridge, Master of Corpus Christi College, Cambridge, and Head Master of Tonbridge School and Eton College.
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The Etta Z. Falconer Lecture is an award and lecture series which honors "women who have made distinguished contributions to the mathematical sciences or mathematics education". It is sponsored by the Association for Women in Mathematics and the Mathematical Association of America. The lectures began in 1996 and were named after the mathematician Etta Z. Falconer in 2004 "in memory of Falconer's profound vision and accomplishments in enhancing the movement of minorities and women into scientific careers". The recipient presents the lecture at MathFest each summer.
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Louis Melville Milne-Thomson CBE FRSE RAS was an English applied mathematician who wrote several classic textbooks on applied mathematics, including The Calculus of Finite Differences, Theoretical Hydrodynamics, and Theoretical Aerodynamics. He is also known for developing several mathematical tables such as Jacobian Elliptic Function Tables. The Milne-Thomson circle theorem and the Milne-Thomson method for finding a holomorphic function are named after him. Milne-Thomson was made a Commander of the Order of the British Empire (CBE) in 1952.
Claude Ambrose Rogers FRS was an English mathematician who worked in analysis and geometry.
In geometry, the midpoint polygon of a polygon P is the polygon whose vertices are the midpoints of the edges of P. It is sometimes called the Kasner polygon after Edward Kasner, who termed it the inscribed polygon "for brevity".
Igor Rivin is a Russian-Canadian mathematician, working in various fields of pure and applied mathematics, computer science, and materials science. He was the Regius Professor of Mathematics at the University of St. Andrews from 2015 to 2017, and was the chief research officer at Cryptos Fund until 2019. He is doing research for Edgestream LP, in addition to his academic work.
Sir Patrick Henry Maxwell is a British physician and the Regius Professor of Physic at the University of Cambridge, a position he has held since 2012. His research focuses regulation of gene expression by changes in oxygen.
Caroline Mary Series is an English mathematician known for her work in hyperbolic geometry, Kleinian groups and dynamical systems.
A magic polygon is a polygonal magic graph with integers on its vertices.
References
- 1 2 3 4 5 "Kenneth Falconer's homepage at St Andrews University".
- ↑ "Warrants Under the Royal Sign Manual: Regius Chair of Mathematics". The Gazette. 22 December 2017.
- ↑ Kenneth Falconer at the Mathematics Genealogy Project
- ↑ "LMS Prize Winners 2020". London Mathematical Society. Retrieved 2 April 2021.
- ↑ "No. 64269". The London Gazette (Supplement). 30 December 2023. p. N10.
- ↑ "40th Anniversary issue". Strider. Long Distance Walkers Association. September 2012.
- ↑ "The Long Distance Walkers Association on Twitter" . Retrieved 2 April 2021– via Twitter.
- ↑ "Scottish Mountaineering Club, Munro Compleatists".
