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Topic: Steinhaus polygon notation


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In the News (Fri 18 Dec 09)

  
  file_nav_name Encyclopedia Index
Positional notation or place-value notation is a numeral system in which each position is related to the next by a co...
Bra-ket notation is the standard notation for describing quantum states in the theory of quantum mechanics.
Abstract index notation is a mathematical notation for tensors and spinors, which uses indices to indicate their type.
www.brainyencyclopedia.com /topics/notation.html   (7583 words)

  
 PlanetMath:
pentagonal number (in polygonal number) owned by mathcam
polygonal region (in area of a polygonal region) owned by Mathprof
postfix notation (=reverse Polish notation) owned by Mravinci
planetmath.org /encyclopedia/P   (3534 words)

  
 SS > factoids > big numbers
The so-called "large primes" -- useful for cryptography -- are relatively small compared to the kind of numbers that soon arise in these notations.
In order to express general relationships, it is useful to have a rather different notation, than captures the number of sides of the polygons, and the number of repetitions of the polygons, symbolically.
Expanding deeply nested terms from the inside out (expand the definition of the innermost polygon first), or from the outside in (expand the definition of the outermost polygon first) gives the same result.
www-users.cs.york.ac.uk /~susan/cyc/b/big.htm   (785 words)

  
 Upto11.net - Wikipedia Article for Notation
Commonly, "notation" refers to the typographical conventions or rules of symbol usage that are followed, e.g., within a book or article.
Notation may refer to notation systems, meaning an interpreted system of tokens having a syntax and semantics.
Dance notation - to document various forms of is used to dance movement such as Labanotation, Benesh Notation, and Eshkol-Wachman notation.
upto11.net /generic_wiki.php?q=notation   (313 words)

  
  Steinhaus–Moser notation - Wikipedia, the free encyclopedia
In mathematics, Steinhaus–Moser notation is a means of expressing certain extremely large numbers.
It is an extension of Steinhaus's polygon notation.
Moser's number is the number represented by "2 in a megagon", where a "megagon" is a polygon with "mega" sides.
en.wikipedia.org /wiki/Steinhaus_polygon_notation   (332 words)

  
 Notation - Biocrawler   (Site not responding. Last check: 2007-10-24)
Commonly, "notation" refers to the typographical conventions or rules of symbol usage that are followed, e.g., within a book or article.
Notation may refer to notation systems, meaning an interpreted system of tokens having a syntax and semantics.
Dance notation - to document various forms of is used to dance movement such as Labanotation, Benesh Notation, and Eshkol-Wachman notation.
www.biocrawler.com /encyclopedia/Notation   (444 words)

  
 Steinhaus-Moser notation   (Site not responding. Last check: 2007-10-24)
In mathematics, Moser's polygon notation is a means of expressing certain extremely large numbers.
It is an extension of Steinhaus's polygon notation.
Moser's number is the number represented by "2 in a megagon", where a "megagon" is a polygon with "mega" sides.
www.xasa.com /wiki/en/wikipedia/s/st/steinhaus_moser_notation.html   (341 words)

  
 Hugo Steinhaus - Encyclopedia, History, Geography and Biography
Wladyslaw Hugo Dionizy Steinhaus (January 14, 1887 - February 25, 1972) was a Polish mathematician, educator, and humanist.
Steinhaus was professor of Lwów (1920-1941) and Wrocław (1945-1961) Universities and then University of Notre Dame (Indiana) (USA, 1961-1962), University of Sussex (1966), corresponding member of PAU (Polish Academy of Abilities) (since 1945) and PAN (Polish Academy of Sciences) (since 1952), and many international science societies and science academies.
He was cofounder of the so called Lwów School of Mathematics and author of many works (over 170) in the fields of mathematical analysis, probability theory and statistics.
www.arikah.net /encyclopedia/Hugo_Steinhaus   (232 words)

  
 Hugo Steinhaus - Wikipedia, the free encyclopedia
Wladyslaw Hugo Dionizy Steinhaus (January 14, 1887 - February 25, 1972) was a Polish mathematician, educator, and humanist.
Steinhaus was professor of Lwów (1920-1941) and Wrocław (1945-1961) Universities and then University of Notre Dame (Indiana) (USA, 1961-1962), University of Sussex (1966), corresponding member of PAU (Polish Academy of Abilities) (since 1945) and PAN (Polish Academy of Sciences) (since 1952), and many international science societies and science academies.
He was cofounder of the so called Lwów School of Mathematics and author of many works (over 170) in the fields of mathematical analysis, probability theory and statistics.
en.wikipedia.org /wiki/Hugo_Steinhaus   (186 words)

  
 Geometry.Net - Scientists: Steinhaus Hugo
steinhaus hugo Dyonizy (18871972), matematyk polski, profesor uniwersytetówwe Lwowie (1920-1941) i Wroclawiu (1945-1961) oraz University of
Hugo Dyonizy Steinhaus (1887 1972) was a Polishmathematician.
Hugo Dyonizy Steinhaus (1887 1972) byl lesk matematik.Steinhaus byl profesor Lwow (1920-1941) a Wroclaw (1945-1961
www4.geometry.net /detail/scientists/steinhaus_hugo.html   (1974 words)

  
 Hugo Steinhaus   (Site not responding. Last check: 2007-10-24)
Hugo Dyonizy Steinhaus (January 14, 1887 - February 25, 1972) was a Polish mathematician.
Steinhaus was professor of Lwów (1920-1941) and Wrocław (1945-1961) Universities and then University of Notre Dame (Indiana) (USA, 1961-1962), University of Sussex (1966), member of PAU (Polish Academy of Abilities) (since 1945) and PAN (Polish Academy of Science) (since 1952), and many international science societies and science academies.
Hugo Dyonizy Steinhaus: article on Steinhaus at the The MacTutor History of Mathematics archive, University of St Andrews, Scotland.
www.xasa.com /wiki/en/wikipedia/h/hu/hugo_steinhaus.html   (174 words)

  
 Hugo Steinhaus   (Site not responding. Last check: 2007-10-24)
Hugo Dyonizy Steinhaus (1887 - 1972) was a Polish mathematician.
Steinhaus was professor of Lwow (1920-1941) and Wroclaw (1945-1961) Universities and then University of Notre Dame (Indiana) (USA, 1961-1962), University of Sussex (1966), member of PAU (Polish Academy of Abilities) (since 1945) and PAN (Polish Academy of Science) (since 1952), and many international science societies and science academies.
He was cofounder of the so called Lvov school of mathematics and author of many works (over 170) in the fields of mathematical analysis, probability theory and statistics.
www.usapedia.com /h/hugo-steinhaus.html   (163 words)

  
 Large number - Gurupedia   (Site not responding. Last check: 2007-10-24)
Large numbers are often found in science, and scientific notation was created to handle both these large numbers and also very small numbers.
For larger power towers, it is preferrable to use hyper notation.
Steinhaus polygon notation and Moser polygon notation extend the idea further and use polygons to show this idea.
www.gurupedia.com /l/la/large_number.htm   (511 words)

  
 notation - What is definition of the term - notation ?   (Site not responding. Last check: 2007-10-24)
Commonly, "notation" refers to the typographical conventions or rules of symbol usage that are followed, e.g., within a book or article.
Notation may refer to notation systems, meaning an interpreted system of tokens having a syntax and semantics.
;Examples of notation systems * In mathematics, mathematical notation is used to represent mathematical ideas, such as: ** Conway's chained arrow, Knuth's up-arrow notation and Steinhaus polygon notation are systems to iterate exponentiation, for representing very large numbers.
www.linguasphere.org /dictionary/n-50070-notation.html   (162 words)

  
 YourArt.com >> Encyclopedia >> Notation   (Site not responding. Last check: 2007-10-24)
Z notation, a formal notation for specifying objects using Zermelo-Fraenkel set theory and first-order predicate logic
Tensor notation is a general way to represent a gravitational field in general relativity
Positional notation also known as place-value notation, which each position is related to the next by a multiplier of that numeral system
www.yourart.com /research/encyclopedia.cgi?subject=/Notation   (294 words)

  
 Informat.io on Notation System   (Site not responding. Last check: 2007-10-24)
Notation systems are an interpreted system of tokens having a syntax and a semantics.
Under its broader definition, notational systems would include speech (a way of inscribing semantically meaningful vibrations upon the medium of air); money (a combined token-and-medium that attempts to represent value); logical notation; cartography; and of course writing.
While notational systems have had a great impact on civilization, they are not themselves studied comparatively and longitudinally as a coherent subject, but rather are considered bit layers within the disciplines they support and enable.
www.informat.io /?title=notation-system   (355 words)

  
 The Ultimate Steinhaus-Moser notation Dog Breeds Information Guide and Reference
It is an extension of Steinhaus's polygon notation.
Moser's number is the number represented by "2 in a megagon", where a "megagon" is a polygon with "mega" sides.
Robert Munafo's Big Numbers, which hints Steinhaus and Moser came up with this notation jointly in the '70s.
www.dogluvers.com /dog_breeds/Steinhaus_polygon_notation   (331 words)

  
 Steinhaus–Moser notation - Anarchopedia
Image:Pentagon-n.png (a number n in a pentagon) is equivalent with "the number n inside n squares, which are all nested."
Steinhaus only defined the triangle, the square, and a circle Image:Circle-n.png, equivalent to the pentagon defined above.
Rounding more crudely (replacing the 257 at the end by 256), we get mega ≈ 256\uparrow\uparrow 257, using Knuth's up-arrow notation.
eng.anarchopedia.org /index.php/Steinhaus%E2%80%93Moser_notation   (404 words)

  
 List of numbers   (Site not responding. Last check: 2007-10-24)
In common mathematical notation, the digit string can be of any length, and the location of the radix point is indicated by placing an explicit "point" character (dot or comma) there.
In scientific notation, a radix character is used, but since many scientific calculations involve very large or small numbers, standard form is used.
By allowing the radix point to be anywhere, floating-point notation allows calculations over a wide range of magnitudes, within a fixed number of digits, while maintaining good accuracy.
libraryoflibrary.com /E_n_c_p_d_List_of_numbers.html   (2891 words)

  
 Notation
In quantum mechanics, Dirac's Bra-ket notation is another representation of probability amplititudes
In relativity, for example, Tensor notation is a general way to represent a gravitational field
Positional notation, which made writing numbers more systematic than a tally method like Roman numerals
www.guajara.com /wiki/en/wikipedia/n/no/notation.html   (263 words)

  
 Definition of Notation
In relativity, for example, Tensor notation is a general way to represent a gravitational field
In dance various forms of dance notation are used to document movement such as Labanotation and Benesh Notation
In mathematics, mathematical notation is used to represent mathematical ideas, such as:
www.wordiq.com /definition/notation   (321 words)

  
 Wikipedia: Notation
A notation can be used in several contexts:
In musical composition, the music is represented by musical notation
In Mathematics, Numeral systems, or notation for writing numbers
www.factbook.org /wikipedia/en/n/no/notation.html   (63 words)

  
 MOSER POLYGON NOTATION   (Site not responding. Last check: 2007-10-24)
In mathematics, Moser's polygon notation is a means of expressing certain large numbers.
It is the obvious extension of Steinhaus polygon notation, ie., n written in an (m+1)-gon means "n in n m-gons".
Moser's number is "2 in a Megagon", using Steinhaus' Mega.
www.websters-online-dictionary.org /definition/MOSER+POLYGON+NOTATION   (101 words)

  
 ipedia.com: Steinhaus polygon notation Article   (Site not responding. Last check: 2007-10-24)
In mathematics, Steinhaus 's polygon notation is a means of expressing certain large numbers.
means n n means " n in n triangles" means " n in n squares" Steinhaus called Mega and Megiston.
In mathematics, Steinhaus's polygon notation is a means of expressing certain large numbers.
www.ipedia.com /steinhaus_polygon_notation.html   (105 words)

  
 Geometry.Net - Scientists: Steinhaus Hugo
steinhaus, hugo Studentenfutter, 100 Aufgaben für Mathe-Feinschmecker,Urania-Verlag, Leipzig/Jena/Berlin, 1991.
Slawek Zagorski, head of "Gazeta Wyborcza" science section, was honoured with the Hugo Steinhaus Award by the scientists of the Polish Foundation for Science Advancement (PFUN).
The Hugo Steinhaus Award was founded in 1994 by the Polish Foundation for Science Advancement and Association for Advancement of Science.
www4.geometry.net /detail/scientists/steinhaus_hugo_page_no_4.html   (1704 words)

  
 Hugo Steinhaus - Education - Information - Educational Resources - Encyclopedia - Music
Hugo Dyonizy Steinhaus (January 14, 1887 - February 25, 1972) was a Polish mathematician.
Steinhaus was professor of Lwów (1920-1941) and Wrocław (1945-1961) Universities and then University of Notre Dame (Indiana) (USA, 1961-1962), University of Sussex (1966), member of PAU (Polish Academy of Abilities) (since 1945) and PAN (Polish Academy of Science) (since 1952), and many international science societies and science academies.
He was cofounder of the so called Lwów School of Mathematics and author of many works (over 170) in the fields of mathematical analysis, probability theory and statistics.
www.music.us /education/H/Hugo-Steinhaus.htm   (399 words)

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