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Set Game
''Set'' (stylized as ''SET'') is a real-time card game designed by Marsha Falco in 1974 and published by Set Enterprises in 1991. The Deck of cards, deck consists of 81 unique cards that vary in four features across three possibilities for each kind of feature: number of shapes (one, two, or three), shape (diamond, squiggle, oval), shading (solid, striped, or open), and color (red, green, or purple). Each possible combination of features (e.g. a card with three striped green diamonds) appears as a card precisely ''once'' in the deck. In the game, certain combinations of three cards are said to make up a set. For each one of the four categories of features — color, number, shape, and shading — the three cards must display that feature as either a) all the same, or b) all different. Put another way: For each feature the three cards must ''avoid'' having two cards showing one version of the feature and the remaining card showing a different version. For example, 3 solid red di ...
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Real-time Card Game
A real-time card game is a card game in which there are no turns and all players may act simultaneously (that is, in real-time). The card game Set has a real-time element; in Set, the players are racing to identify patterns in the cards on the table. The concept was also used by James Ernest in his game Falling, and was later expanded in the games Brawl and Fightball. There are also real-time card games that use a standard deck of 52 playing cards. A large number of real-time card games are in the Slapjack family: players take turns playing cards and then race to "slap" a jack or face card when it is turned up. In this family are Spit, Egyptian Ratscrew, and Nertz. Another group of real-time card games are related to Spoons, in which players exchange cards asynchronously until one or more players have a certain hand; then the first player to perform a certain action wins. In this family are the 52-card game Pig and Parker Brothers Parker Brothers (known by Parker outside ...
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Cap Set
In affine geometry, a cap set is a subset of \mathbb_3^n (an n-dimensional affine space over a three-element field) with no three elements in a line. The cap set problem is the problem of finding the size of the largest possible cap set, as a function of n.. The first few cap set sizes are 1, 2, 4, 9, 20, 45, 112, ... . Cap sets may be defined more generally as subsets of finite affine or projective spaces with no three in line, where these objects are simply called caps. The "cap set" terminology should be distinguished from other unrelated mathematical objects with the same name, and in particular from sets with the compact absorption property in function spaces as well as from compact convex co-convex subsets of a convex set. Example An example of cap sets comes from the card game Set, a card game in which each card has four features (its number, symbol, shading, and color), each of which can take one of three values. The cards of this game can be interpreted as representing p ...
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Card Games Introduced In 1991
Card or The Card may refer to: * Various types of plastic cards: **By type ***Magnetic stripe card ***Chip card ***Digital card **By function ***Payment card ****Credit card ****Debit card ****EC-card ****Identity card ****European Health Insurance Card ****Driver's license * Playing card, a card used in games * Printed circuit board * Punched card, a piece of stiff paper that holds digital data represented by the presence or absence of holes in predefined positions. *In communications ** Postcard ** Greeting card, an illustrated piece of card stock featuring an expression of friendship or other sentiment * \operatorname, in mathematical notation, a function that returns the cardinality of a set * Card, a tool for carding, the cleaning and aligning of fibers * Sports terms ** Card (sports), the lineup of the matches in an event ** Penalty card As a proper name People with the name * Card (surname) Companies * Cards Corp, a South Korean internet company Arts and entertainment * " ...
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ActiveState
ActiveState Software Inc is a Canadian software company headquartered in Vancouver, British Columbia. It develops, sells, and supports cross-platform development tools for dynamic languages such as Perl, PHP, Python, Ruby, and Tcl, as well as language distributions and enterprise services. ActiveState is owned by its employees and Pender Financial Group, an investment company focused on technology and healthcare sectors in British Columbia after briefly being a member of the Sophos group. History Acquisition of ActiveState Corp was first announced in September 2003 by Sophos Plc. ActiveState's president Steve Munford who is part of the acquisition will become a member of Sophos's executive management team as Global VP Messaging. Sophos ownership era In January 2006, Pender Financial Group which was announced in January 2006 has entered into an agreement with Sophos Inc. to acquire ActiveState Software Inc. In February 2006, ActiveState Software Inc. announced its acquisition ...
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Tcl/Tk
Tk is a free and open-source, cross-platform widget toolkit that provides a library of basic elements of GUI widgets for building a graphical user interface (GUI) in many programming languages. Tk provides a number of widgets commonly needed to develop desktop applications, such as button, menu, canvas, text, frame, label, etc. Tk has been ported to run on most flavors of Linux, Mac OS, Unix, and Microsoft Windows. Like Tcl, Tk supports Unicode within the Basic Multilingual Plane, but it has not yet been extended to handle the current extended full Unicode (e.g., UTF-16 from UCS-2 that Tk supports). Tk was designed to be extended, and a wide range of extensions are available that offer new widgets or other capabilities. Since Tcl/Tk 8, it offers "native look and feel" (for instance, menus and buttons are displayed in the manner of "native" software for any given platform). Highlights of version 8.5 include a new theming engine, originally called Tk Tile, but it is now general ...
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Fano Plane
In finite geometry, the Fano plane (after Gino Fano) is a finite projective plane with the smallest possible number of points and lines: 7 points and 7 lines, with 3 points on every line and 3 lines through every point. These points and lines cannot exist with this pattern of incidences in Euclidean geometry, but they can be given coordinates using the finite field with two elements. The standard notation for this plane, as a member of a family of projective spaces, is . Here stands for "projective geometry", the first parameter is the geometric dimension (it is a plane, of dimension 2) and the second parameter is the order (the number of points per line, minus one). The Fano plane is an example of a finite incidence structure, so many of its properties can be established using combinatorial techniques and other tools used in the study of incidence geometries. Since it is a projective space, algebraic techniques can also be effective tools in its study. Homogeneous coordinat ...
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NP-completeness
In computational complexity theory, a problem is NP-complete when: # it is a problem for which the correctness of each solution can be verified quickly (namely, in polynomial time) and a brute-force search algorithm can find a solution by trying all possible solutions. # the problem can be used to simulate every other problem for which we can verify quickly that a solution is correct. In this sense, NP-complete problems are the hardest of the problems to which solutions can be verified quickly. If we could find solutions of some NP-complete problem quickly, we could quickly find the solutions of every other problem to which a given solution can be easily verified. The name "NP-complete" is short for "nondeterministic polynomial-time complete". In this name, "nondeterministic" refers to nondeterministic Turing machines, a way of mathematically formalizing the idea of a brute-force search algorithm. Polynomial time refers to an amount of time that is considered "quick" for a deter ...
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Donald Knuth
Donald Ervin Knuth ( ; born January 10, 1938) is an American computer scientist, mathematician, and professor emeritus at Stanford University. He is the 1974 recipient of the ACM Turing Award, informally considered the Nobel Prize of computer science. Knuth has been called the "father of the analysis of algorithms". He is the author of the multi-volume work ''The Art of Computer Programming'' and contributed to the development of the rigorous analysis of the computational complexity of algorithms and systematized formal mathematical techniques for it. In the process, he also popularized the asymptotic notation. In addition to fundamental contributions in several branches of theoretical computer science, Knuth is the creator of the TeX computer typesetting system, the related METAFONT font definition language and rendering system, and the Computer Modern family of typefaces. As a writer and scholar, Knuth created the WEB and CWEB computer programming systems designed to encou ...
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Diane Maclagan
Diane Margaret Maclagan (born 1974) is a professor of mathematics at the University of Warwick. She is a researcher in combinatorial and computational commutative algebra and algebraic geometry, with an emphasis on toric varieties, Hilbert schemes, and tropical geometry. Education and career As a student at Burnside High School in Christchurch, New Zealand, Maclagan competed in the International Mathematical Olympiad in 1990 and 1991, earning a bronze medal in 1991. As an undergraduate, she studied at the University of Canterbury, graduating in 1995. She did her PhD at the University of California, Berkeley, graduating in 2000. Her dissertation, ''Structures on Sets of Monomial Ideals'', was supervised by Bernd Sturmfels. After postdoctoral research at the Institute for Advanced Study, Maclagan was a Szegő Assistant Professor at Stanford University from 2001 to 2004, an assistant professor at Rutgers University from 2004 to 2007, then an associate professor there from 2007 to 2 ...
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One And Only One
In mathematics and logic, the term "uniqueness" refers to the property of being the one and only object satisfying a certain condition. This sort of quantification is known as uniqueness quantification or unique existential quantification, and is often denoted with the symbols " ∃!" or "∃=1". For example, the formal statement : \exists! n \in \mathbb\,(n - 2 = 4) may be read as "there is exactly one natural number n such that n - 2 =4". Proving uniqueness The most common technique to prove the unique existence of a certain object is to first prove the existence of the entity with the desired condition, and then to prove that any two such entities (say, ''a'' and ''b'') must be equal to each other (i.e. a = b). For example, to show that the equation x + 2 = 5 has exactly one solution, one would first start by establishing that at least one solution exists, namely 3; the proof of this part is simply the verification that the equation below holds: : 3 + 2 = 5. To ...
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