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24 (puzzle)
The 24 puzzle is an arithmetical puzzle in which the objective is to find a way to manipulate four integers so that the end result is 24. For example, for the numbers 4, 7, 8, 8, a possible solution is (7-(8\div8))\times4=24. The problem has been played as a card game in Shanghai since the 1960s, using playing cards. It has been known by other names, including Maths24. A proprietary version of the game has been created which extends the concept of the basic game to more complex mathematical operations. Original version The original version of 24 is played with an ordinary deck of playing cards with all the face cards removed. The aces are taken to have the value 1 and the basic game proceeds by having 4 cards dealt and the first player that can achieve the number 24 exactly using only allowed operations (addition, subtraction, multiplication, division, and parentheses) wins the hand. Some advanced players allow exponentiation, roots, logarithms, and other operations. For shor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Integers
An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign (−1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface or blackboard bold \mathbb. The set of natural numbers \mathbb is a subset of \mathbb, which in turn is a subset of the set of all rational numbers \mathbb, itself a subset of the real numbers \mathbb. Like the natural numbers, \mathbb is Countable set, countably infinite. An integer may be regarded as a real number that can be written without a fraction, fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, , and are not. The integers form the smallest Group (mathematics), group and the smallest ring (mathematics), ring containing the natural numbers. In algebraic number theory, the integers are sometimes qualified as rational integers ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Logarithm
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number to the base is the exponent to which must be raised, to produce . For example, since , the ''logarithm base'' 10 of is , or . The logarithm of to ''base'' is denoted as , or without parentheses, , or even without the explicit base, , when no confusion is possible, or when the base does not matter such as in big O notation. The logarithm base is called the decimal or common logarithm and is commonly used in science and engineering. The natural logarithm has the number as its base; its use is widespread in mathematics and physics, because of its very simple derivative. The binary logarithm uses base and is frequently used in computer science. Logarithms were introduced by John Napier in 1614 as a means of simplifying calculations. They were rapidly adopted by navigators, scientists, engineers, surveyors and others to perform high-a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brain Training Video Games
A brain is an organ that serves as the center of the nervous system in all vertebrate and most invertebrate animals. It is located in the head, usually close to the sensory organs for senses such as vision. It is the most complex organ in a vertebrate's body. In a human, the cerebral cortex contains approximately 14–16 billion neurons, and the estimated number of neurons in the cerebellum is 55–70 billion. Each neuron is connected by synapses to several thousand other neurons. These neurons typically communicate with one another by means of long fibers called axons, which carry trains of signal pulses called action potentials to distant parts of the brain or body targeting specific recipient cells. Physiologically, brains exert centralized control over a body's other organs. They act on the rest of the body both by generating patterns of muscle activity and by driving the secretion of chemicals called hormones. This centralized control allows rapid and coordinated respo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Games
A mathematical game is a game whose rules, strategies, and outcomes are defined by clear mathematical parameters. Often, such games have simple rules and match procedures, such as Tic-tac-toe and Dots and Boxes. Generally, mathematical games need not be conceptually intricate to involve deeper computational underpinnings. For example, even though the rules of Mancala are relatively basic, the game can be rigorously analyzed through the lens of combinatorial game theory. Mathematical games differ sharply from mathematical puzzles in that mathematical puzzles require specific mathematical expertise to complete, whereas mathematical games do not require a deep knowledge of mathematics to play. Often, the arithmetic core of mathematical games is not readily apparent to players untrained to note the statistical or mathematical aspects. Some mathematical games are of deep interest in the field of recreational mathematics. When studying a game's core mathematics, arithmetic theory i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Card Games Introduced In The 1960s
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 * " ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Krypto (game)
Krypto is a card game designed by Daniel Yovich in 1963 and published by Parker Brothers and MPH Games Co. It is a mathematical game that promotes proficiency with basic arithmetic operations. More detailed analysis of the game can raise more complex statistical questions. Rules of Krypto The Krypto deck and home rules The Krypto deck consists of 56 cards: three of each of the numbers 1-6, four each of the numbers 7-10, two each of 11-17, one each of 18-25. Six cards are dealt: a common objective card at the top and five other cards below. Each player must use all five of the cards' numbers exactly once, using any combination of arithmetic operations (addition, subtraction, multiplication, and division), to form the objective card's number. The first player to come up with a correct formula is the winner. Krypto international tournament rules The official international rules for Krypto differ slightly from the house rules, and they involve a system of scorekeeping. Five cards ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
King (playing Card)
The king is a playing card with a picture of a king displayed on it. The king is usually the highest-ranking face card. In the French version of playing cards and tarot decks, the king immediately outranks the queen. In Italian and Spanish playing cards, the king immediately outranks the knight. In German and Swiss playing cards, the king immediately outranks the '' Ober''. In some games, the king is the highest-ranked card; in others, the ace is higher. Aces began outranking kings around 1500 with Trappola being the earliest known game in which the aces were highest in all four suits. In the Ace-Ten family of games such as pinochle and schnapsen, both the ace and the 10 rank higher than the king. History The king card is the oldest and most universal court card. It most likely originated in Persian Ganjifeh where kings are depicted as seated on thrones and outranking the viceroy cards which are mounted on horses. Playing cards were transmitted to Italy and Spain via the Ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Queen (playing Card)
The queen is a playing card with a picture of a queen on it. In many European languages, the king and queen begin with the same letter so the latter is often called ''dame'' (lady) or variations thereof. In French playing cards, the usual rank of a queen is between the king and the jack. In tarot decks, it outranks the knight which in turn outranks the jack. In the Spanish deck and some Italian decks, the Queen does not exist and the Knight appears in them instead, with the same role and value. In several card games, including the middle eastern Trex and French Barbu, the queen is a major card to avoid taking, with each queen taken inflicting a penalty on the player. Similarly, in Hearts, the queen of spades is to be avoided, and is called a variety of unsavoury names. In the Paris pattern, each court card is identified as a particular historical or mythological personage as follows: Cultural references Regarding the anonymous nursery rhyme, " The Queen of Hearts" (publis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jack (playing Card)
A Jack or Knave, in some games referred to as a bower, is a playing card which, in traditional French and English decks, pictures a man in the traditional or historic aristocratic or courtier dress, generally associated with Europe of the 16th or 17th century. The usual rank of a jack is between the ten and the queen. History The earliest predecessor of the knave was the (second or under-deputy) in the Mamluk card deck. This was the lowest of the three court cards and like all court cards was depicted through abstract art or calligraphy. When brought over to Italy and Spain, the was made into an infantry soldier or page ranking below the knight card. In France, where the card was called the valet, the queen was inserted between the king and knight. The knight was subsequently dropped out of non-Tarot decks leaving the valet directly under the queen. The king-queen-valet format then made its way into England. As early as the mid-16th century the card was known in England a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
War (card Game)
War (also known as Battle in the United Kingdom) is a simple card game, typically played by two players using a standard playing card deck — and often played by children. There are many variations, as well as related games such as the German 32-card Tod und Leben ("Life and Death"). Gameplay The objective of the game is to win all of the cards. The deck is divided evenly among the players, giving each a down stack. In unison, each player reveals the top card of their deck—this is a "battle"—and the player with the higher card takes both of the cards played and moves them to their stack. Aces are high, and suits are ignored. If the two cards played are of equal value, then there is a "war". Both players place the next card from their pile face down and then another card face-up. The owner of the higher face-up card wins the war and adds all the cards on the table to the bottom of their deck. If the face-up cards are again equal then the battle repeats with another set ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Exponentiation
Exponentiation is a mathematical operation, written as , involving two numbers, the '' base'' and the ''exponent'' or ''power'' , and pronounced as " (raised) to the (power of) ". When is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, is the product of multiplying bases: b^n = \underbrace_. The exponent is usually shown as a superscript to the right of the base. In that case, is called "''b'' raised to the ''n''th power", "''b'' (raised) to the power of ''n''", "the ''n''th power of ''b''", "''b'' to the ''n''th power", or most briefly as "''b'' to the ''n''th". Starting from the basic fact stated above that, for any positive integer n, b^n is n occurrences of b all multiplied by each other, several other properties of exponentiation directly follow. In particular: \begin b^ & = \underbrace_ \\[1ex] & = \underbrace_ \times \underbrace_ \\[1ex] & = b^n \times b^m \end In other words, when multiplying a base raised to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Card Game
A card game is any game using playing cards as the primary device with which the game is played, be they traditional or game-specific. Countless card games exist, including families of related games (such as poker). A small number of card games played with traditional decks have formally standardized rules with international tournaments being held, but most are folk games whose rules vary by region, culture, and person. Traditional card games are played with a ''deck'' or ''pack'' of playing cards which are identical in size and shape. Each card has two sides, the ''face'' and the ''back''. Normally the backs of the cards are indistinguishable. The faces of the cards may all be unique, or there can be duplicates. The composition of a deck is known to each player. In some cases several decks are shuffled together to form a single ''pack'' or ''shoe''. Modern card games usually have bespoke decks, often with a vast amount of cards, and can include number or action cards. This ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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