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Theorem in mechanism design
In auction theory and mechanism design, Border's theorem gives a necessary and sufficient condition for interim allocation rules (or reduced form auctions)
Border's_theorem
Proof all ranked voting rules have spoilers
Arrow's impossibility theorem is a key result in social choice theory, proved by American economist Kenneth Arrow. It shows that no procedure for group
Arrow's_impossibility_theorem
Logical paradox in decision-making theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Paradox_of_tolerance
Theorem in game theory
Aumann's agreement theorem states that two Bayesian agents with the same prior beliefs cannot "agree to disagree" about the probability of an event if
Aumann's_agreement_theorem
Solution concept of a non-cooperative game
Kakutani fixed-point theorem in his 1950 paper to prove existence of equilibria. His 1951 paper used the simpler Brouwer fixed-point theorem for the same purpose
Nash_equilibrium
Decision rule used for minimizing the possible loss for a worst-case scenario
important in the theory of repeated games. One of the central theorems in this theory, the folk theorem, relies on the minimax values. In combinatorial game theory
Minimax
Hungarian and American mathematician and physicist (1903–1957)
the application of this work was instrumental in his mean ergodic theorem. The theorem is about arbitrary one-parameter unitary groups t → V t {\displaystyle
John_von_Neumann
Paper-and-pencil game for two players
successful landing and must be careful not to block themself. Hales–Jewett theorem m,n,k-game Number Scrabble Garcia, Dan. "GamesCrafters: Tic-Tac-Toe". gamescrafters
Tic-tac-toe
Search algorithm
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Alpha–beta_pruning
Economic phenomenon
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Tyranny_of_small_decisions
Game whose outcome can be correctly predicted
Computer Go Computer Othello Game complexity God's algorithm Zermelo's theorem (game theory) Allis, L.V. (1994). Searching for solutions in games and
Solved_game
Standard example in game theory
Abilene paradox Centipede game Collective action problem Externality Folk theorem (game theory) Free-rider problem Gift-exchange game Hobbesian trap Innocent
Prisoner's_dilemma
Weakly optimal allocation of resources
per the Greenwald–Stiglitz theorem. The second welfare theorem is essentially the reverse of the first welfare theorem. It states that under similar
Pareto_efficiency
Concept in game theory
ranked voting with three or more alternatives (by the Gibbard–Satterthwaite theorem) or first-price auctions. A randomized mechanism is a probability-distribution
Incentive_compatibility
Mathematical models of strategic interactions
von Neumann. Von Neumann's original proof used the Brouwer fixed-point theorem on continuous mappings into compact convex sets, which became a standard
Game_theory
Game theory scenario
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Win–win_game
attrition Theorems Arrow's impossibility theorem Aumann's agreement theorem Brouwer fixed-point theorem Competitive altruism Folk theorem Gibbard–Satterthwaite
List_of_games_in_game_theory
Hand game for two players or more
attrition Theorems Arrow's impossibility theorem Aumann's agreement theorem Brouwer fixed-point theorem Competitive altruism Folk theorem Gibbard–Satterthwaite
Rock_paper_scissors
Overuse of a shared resource
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Tragedy_of_the_commons
Israeli-American psychologist and economist (1934–2024)
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Daniel_Kahneman
Field of economics and game theory
described by Noam Nisan as a way to escape the Gibbard–Satterthwaite theorem. While the theorem is traditionally presented as a result about voting systems, it
Mechanism_design
In board games that cannot end in a draw, one of the two players has a winning strategy
In game theory, Zermelo's theorem is a theorem about finite two-person games of perfect information in which the players move alternately and in which
Zermelo's theorem (game theory)
Zermelo's_theorem_(game_theory)
English saying meaning "equivalent retaliation"
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Tit_for_tat
Combinatorial game theory theorem
In combinatorial game theory, the Sprague–Grundy theorem states that every impartial game under the normal play convention is equivalent to a one-heap
Sprague–Grundy_theorem
Pairing where no unchosen pair prefers each other over their choice
and hybrid CPU–GPU execution to reduce overhead. The rural hospitals theorem concerns a more general variant of the stable matching problem, like that
Stable_matching_problem
Condition in economics and game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Perfect_information
Concept in conflict studies
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Conflict_escalation
Concept in game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Focal_point_(game_theory)
Hand game for two or more players
attrition Theorems Arrow's impossibility theorem Aumann's agreement theorem Brouwer fixed-point theorem Competitive altruism Folk theorem Gibbard–Satterthwaite
Chopsticks_(hand_game)
Situation where all parties are worse off
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
No-win_situation
Class of theorems about Nash equilibrium payoff profiles in repeated games
In game theory, folk theorems are a class of theorems describing an abundance of Nash equilibrium payoff profiles in repeated games (Friedman 1971). The
Folk_theorem_(game_theory)
Quality of a strategy in game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Strategic_dominance
Simple mathematical game
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Pirate_game
Two-player coordination game in game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Battle of the sexes (game theory)
Battle_of_the_sexes_(game_theory)
Situation where total gains match total losses
non-competitive. Zero-sum games are most often solved with the minimax theorem which is closely related to linear programming duality, or with Nash equilibrium
Zero-sum_game
Israeli psychologist (1937–1996)
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Amos_Tversky
Theorem in calculus relating line and double integrals
In vector calculus, Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D (surface in R
Green's_theorem
Concept in game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Shapley_value
Mathematical game
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Guess_2/3_of_the_average
Notion in combinatorial game theory
attrition Theorems Arrow's impossibility theorem Aumann's agreement theorem Brouwer fixed-point theorem Competitive altruism Folk theorem Gibbard–Satterthwaite
Game_complexity
Finding an optimal algorithm for playing chess
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Solving_chess
Branch of game theory about two-player sequential games with perfect information
that a player who cannot move loses. In the 1930s, the Sprague–Grundy theorem showed that all impartial games are equivalent to heaps in Nim, thus showing
Combinatorial_game_theory
Conflict between safety and cooperation
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Stag_hunt
Making of satisfactory, not optimal, decisions
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Bounded_rationality
Complete plan on how a game player will behave in every possible game situation
relationship between mixed and behavior strategies is the subject of Kuhn's theorem, a behavioral outlook on traditional game-theoretic hypotheses. The result
Strategy_(game_theory)
Problem in process of sharing surplus
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Cooperative_bargaining
Planar maps require at most four colors
In mathematics, the four color theorem, or the four color map theorem, states that no more than four colors are required to color the regions of any map
Four_color_theorem
American behavioral economist (1952–2020)
Retrieved 3 April 2021. Nisan, Noam (15 October 2015). "On the Borders of Border's Theorem | Simons Institute for the Theory of Computing". simons.berkeley
Kim_Border
Game illustrating paradox in rational choice theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Dollar_auction
Game theory concept
Centipede game Dynamic inconsistency Glossary of game theory Minimax theorem Retrograde analysis Solution concept Bellman's principle of optimality
Subgame_perfect_equilibrium
Economic model of competition
with infinite horizon, then collusion is possible because of the Folk Theorem. The Bertrand and Cournot model focus on different aspects of the competitive
Bertrand_competition
Model of conflict for two players in game theory
attrition Theorems Arrow's impossibility theorem Aumann's agreement theorem Brouwer fixed-point theorem Competitive altruism Folk theorem Gibbard–Satterthwaite
Chicken_(game)
Solution concept in game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Evolutionarily stable strategy
Evolutionarily_stable_strategy
Political model of international conflict resolution
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Two-level_game_theory
Strategy which only depends on the current state of a game
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Markov_strategy
Economic model
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Cournot_competition
Human behavior pattern in which the participant takes on increasing risk
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Escalation_of_commitment
Experimental tool
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Dictator_game
Class of strategies employed in a repeated non-cooperative game
A non-cooperative equilibrium for supergames, Review of Economic Studies 38, 1–12. (The first formal proof of the Folk theorem (game theory)). v t e
Trigger_strategy
Economic model
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Stackelberg_competition
Theorem in differential geometry
In differential geometry, the Gauss–Bonnet theorem (or Gauss–Bonnet formula) is a fundamental formula which links the curvature of a surface to its underlying
Gauss–Bonnet_theorem
Zero-sum game where competitions between strategies contain a cycle
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Intransitive_game
Problem about bus travel
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Wait/walk_dilemma
Model of humans as rational, self-interested agents
greatly exceeded that of the WTP. This was seen as falsifying the Coase theorem in which for every person the WTA equals the WTP that is the basis of the
Homo_economicus
Representation of a game in game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Normal-form_game
Diplomatic policy of concessions
Royal Italian Army and Imperial Ethiopian Army troops at Walwal, near the border between British and Italian Somaliland, in which Italian troops took possession
Appeasement
Type of perfect Bayesian equilibrium
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Separating_equilibrium
Simultaneous game found in game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Coordination_game
Decrease in severity of conflicts
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
De-escalation
Hungarian-American economist and philosopher (1920–2000)
A. (May 1, 1998). "An informationally parsimonious impartial observer theorem". Social Choice and Welfare. 15 (3): 321–332. doi:10.1007/s003550050108
John_Harsanyi
Trigger strategy
defection. Brinkmanship – Political and military tactic Folk theorem (game theory) – Class of theorems about Nash equilibrium payoff profiles in repeated games
Grim_trigger
Game-theoretic concept
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Cheap_talk
Level of information in economics and game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Complete_information
Academic discipline
often-cited paper describing experiments which could be used to prove Bell's theorem. In one part of this paper, they describe a game where a player could have
Quantum_game_theory
Military strategy during the Cold War with regard to the use of nuclear weapons
attrition Theorems Arrow's impossibility theorem Aumann's agreement theorem Brouwer fixed-point theorem Competitive altruism Folk theorem Gibbard–Satterthwaite
Deterrence_theory
Game where groups of players may enforce cooperative behaviour
of winning coalitions with empty intersection. According to Nakamura's theorem, the number measures the degree of rationality; it is an indicator of the
Cooperative_game_theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Fictitious_play
Aspect of game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Self-confirming_equilibrium
Term in game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Move_by_nature
Concept in economics and game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Global_game
Tendency to overestimate in auctions
curse when bidding (an outcome that, according to the revenue equivalence theorem, need never occur). The winner's curse phenomenon was first addressed in
Winner's_curse
Variation of minimax game tree search
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Negamax
Polish-American mathematician (1911-1992)
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Melvin_Dresher
Poker game developed by Harold Kuhn
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Kuhn_poker
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Strategic_move
Game with a dominant mutually most beneficial action
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Deadlock_(game_theory)
Game theory concept
type of a player is treated as a separate "player." This is detailed in Theorem 9.51 of the book Game Theory. Induced Normal Form Game: The number of players
Bayesian_game
Cooperation between firms to limit competition
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Collusion
Simple game studied in game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Matching_pennies
Problem in game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
El_Farol_Bar_problem
Subset of a game; used in game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Subgame
Preference of known risks to unknown risks
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Ambiguity_aversion
Set in game theory
inequalities. Hence the core is closed and convex. The Bondareva–Shapley theorem: the core of a game is nonempty if and only if the game is "balanced".
Core_(game_theory)
Study of strategic decision making
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Mean-field_game_theory
Class of games where players choose their actions sequentially
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Sequential_game
Game theory model of aggression
of the competing individuals. Evolutionary game theory Bishop–Cannings theorem Rubinstein bargaining model Hawk-dove game Dollar auction Attrition warfare
War_of_attrition_(game)
Subfield of set theory
This fact—that all closed games are determined—is called the Gale–Stewart theorem. Note that by symmetry, all open games are determined as well. (A game
Determinacy
Concept in game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Strong_Nash_equilibrium
Logical dilemma
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Rendezvous_problem
Game theory dilemma
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Unscrupulous_diner's_dilemma
BORDERS THEOREM
BORDERS THEOREM
Surname or Lastname
English (Welsh borders)
English (Welsh borders) : unexplained.
Surname or Lastname
English
English : variant of Cordray.
Surname or Lastname
English (Northumberland and Durham)
English (Northumberland and Durham) : unexplained; perhaps a variant of Scottish Wanders, which Black tentatively derives from a Scottish local pronunciation of Guinevere, name of King Arthur’s queen, who according to local Angus legend was buried in the parish of Alyth.
Boy/Male
Latin Greek
North wind.
Girl/Female
Tamil
Boundary, Border
Surname or Lastname
English, of Welsh origin
English, of Welsh origin : variant of Badder, with English patronymic -s added.
Boy/Male
Anglo Saxon English
From the boar valley.
Boy/Male
Spanish American
Lamb.
Surname or Lastname
English (northern borders) and Scottish
English (northern borders) and Scottish : probably a variant of Hoggard, but perhaps, as Black suggests, a habitational name from a lost or unidentified place named with the dialect word hoggarth ‘lamb enclosure’.
Surname or Lastname
English
English : variant of Brier.German : Americanized form of Breuer.
Surname or Lastname
English
English : habitational name from a place in Kent named Borden, perhaps from Old English bÄr ‘boar’ or bor ‘hill’ + denu ‘valley’ or denn ‘(swine) pasture’.
Surname or Lastname
English
English : variant of Cordier.Catalan : occupational name for a maker of cord or string, from an agent derivative of Catalan corda ‘string’, ‘cord’.
Boy/Male
American, Anglo, Australian, British, English, French
From the Valley of the Boar
Surname or Lastname
English
English : possibly a variant of Bowyer.
Surname or Lastname
English
English : occupational name for a maker of cord or string or a nickname for a habitual wearer of decorative ties and ribbons, from the genitive or plural form of Old French corde ‘string’ (see Coard).Variant spelling of German Kordes.French : habitational name from any of several places called Cordes.
Surname or Lastname
English
English : topographic name for someone who lived at the edge of a village or by some other boundary, Middle English border, from Old French bordure ‘edge’.
Surname or Lastname
English (mainly Borders)
English (mainly Borders) : from Middle English yonger ‘younger’, hence a distinguishing name for, for example, the younger of two bearers of the same personal name. In one case, at least, however, the name is known to have been borne by an immigrant Fleming, and was probably an Americanized form of Middle Dutch jongheer ‘young nobleman’ (see Jonker).Americanized spelling of various cognate or like-sounding names in other languages, notably German Junger and Junker, or Dutch Jonker.
Boy/Male
Danish, German, Scandinavian, Swedish
Brother
Surname or Lastname
English
English : variant of Bower.
Surname or Lastname
English
English : topographic name for someone who lived at the edge of a village or by some other boundary, Middle English border, from Old French bordure ‘edge’.
BORDERS THEOREM
BORDERS THEOREM
Boy/Male
Norse
The serpent who encircles the earth.
Female
Greek
(ΔοÏκάς) Alternate translation of Greek Tabitha, DORKAS means "gazelle." In the New Testament bible, this is the name of a woman restored to life by Peter.Â
Girl/Female
Greek
Daughter of Pandareos.
Girl/Female
Arabic, Saudi
Prettiest
Male
English
Variant spelling of English Donogh, DONOUGH means "brown warrior."
Girl/Female
English
Modern- ancient hereditary title used by Ethiopian queens.
Boy/Male
Hindu
Growing out, Shooting forth
Girl/Female
Tamil
Ancient malwa, Ujjain
Boy/Male
Tamil
King
Boy/Male
Hindu, Indian, Japanese, Sanskrit, Tamil, Telugu
Famous Mountain in Hindu Mythology; High Point
BORDERS THEOREM
BORDERS THEOREM
BORDERS THEOREM
BORDERS THEOREM
BORDERS THEOREM
v. t.
To be, or to have, contiguous to; to touch, or be touched, as by a border; to be, or to have, near the limits or boundary; as, the region borders a forest, or is bordered on the north by a forest.
a.
Being on duty; keeping order; conveying orders.
n.
A number of things or persons arranged in a fixed or suitable place, or relative position; a rank; a row; a grade; especially, a rank or class in society; a group or division of men in the same social or other position; also, a distinct character, kind, or sort; as, the higher or lower orders of society; talent of a high order.
v. i.
To touch at the edge or boundary; to be contiguous or adjacent; -- with on or upon as, Connecticut borders on Massachusetts.
n.
One that bores; an instrument for boring.
n.
That which prescribes a method of procedure; a rule or regulation made by competent authority; as, the rules and orders of the senate.
n.
To admit to holy orders; to ordain; to receive into the ranks of the ministry.
imp. & p. p.
of Border
v. i.
To give orders; to issue commands.
v. t.
To make a border for; to furnish with a border, as for ornament; as, to border a garment or a garden.
n.
An ecclesiastical grade or rank, as of deacon, priest, or bishop; the office of the Christian ministry; -- often used in the plural; as, to take orders, or to take holy orders, that is, to enter some grade of the ministry.
n.
One who dwells on a border, or at the extreme part or confines of a country, region, or tract of land; one who dwells near to a place or region.
n.
To give an order to; to command; as, to order troops to advance.
n.
Right arrangement; a normal, correct, or fit condition; as, the house is in order; the machinery is out of order.
n.
Rank; degree; thus, the order of a curve or surface is the same as the degree of its equation.
n.
A border one fifth the width of the shield, surrounding the field. It is usually plain, but may be charged.
n.
Any bivalve mollusk (Saxicava, Lithodomus, etc.) which bores into limestone and similar substances.
n.
An assemblage of genera having certain important characters in common; as, the Carnivora and Insectivora are orders of Mammalia.
n.
A body of persons having some common honorary distinction or rule of obligation; esp., a body of religious persons or aggregate of convents living under a common rule; as, the Order of the Bath; the Franciscan order.
n.
To give an order for; to secure by an order; as, to order a carriage; to order groceries.