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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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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)
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
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
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
Statement that players know and also know that other players know (ad infinitum)
equivalent to the one given above) and proved the so-called agreement theorem through which: if two agents have common prior probability over a certain
Common_knowledge_(logic)
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
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)
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)
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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)
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
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
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)
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
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
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
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
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
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)
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
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
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
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
Solution to the fair division problem
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Moving-knife_procedure
Economic model
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Cournot_competition
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
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
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
Experimental tool
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Dictator_game
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
Principle in economics and game theory
system or market). It can be seen as a kind of mirror image to Gibbard's theorem. The revelation principle says that if a social choice function can be
Revelation_principle
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
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Fictitious_play
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
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
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
Two player pursuit-evasion problem
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Princess_and_monster_game
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
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
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
Refinement of Nash equilibrium
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Sequential_equilibrium
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Strategic_move
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
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
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
Search heuristic for combinatorial games
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Aspiration_window
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
Israeli-American mathematician (born 1930)
Shapley on the Aumann–Shapley value. He is also known for Aumann's agreement theorem, in which he argues that under his given conditions, two Bayesian rationalists
Robert_Aumann
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
Branch of mathematics
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Graphical_game_theory
Logical dilemma
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Rendezvous_problem
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
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
Bidding less than an item is worth in an auction
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Bid_shading
Game whose payoffs depend on strategies as opposed to players
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Symmetric_game
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
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
American mathematician (1908-1991)
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Merrill_M._Flood
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
Mixed strategy equilibria explained as the limit of pure strategy equilibria
In game theory, the purification theorem was contributed by Nobel laureate John Harsanyi in 1973. The theorem justifies a puzzling aspect of mixed strategy
Purification_theorem
Mathematical construct in game theory
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Hierarchy_of_beliefs
Game in economic experiments
reputation and reciprocity. Discount factors become crucial, and the Folk Theorem suggests that many payoff distributions, including "fair" outcomes, can
Ultimatum_game
Type of signaling game
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Lewis_signaling_game
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
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
Application of game theory to evolving populations in biology
distribution. The distribution (an ESS) can be computed using the Bishop-Cannings theorem, which holds true for any mixed-strategy ESS. The distribution function
Evolutionary_game_theory
Facilitating a peaceful outcome to a dispute
Vickrey–Clarke–Groves mechanism Virtual valuation Theorems Myerson–Satterthwaite theorem Revenue equivalence Border's theorem Applications Digital goods auction Knapsack
Conflict_resolution
BORDERS THEOREM
BORDERS THEOREM
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 (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
Spanish American
Lamb.
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’.
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’.
Boy/Male
Anglo Saxon English
From the boar valley.
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.
Girl/Female
Tamil
Boundary, Border
Surname or Lastname
English
English : variant of Bower.
Surname or Lastname
English (Welsh borders)
English (Welsh borders) : unexplained.
Boy/Male
Latin Greek
North wind.
Surname or Lastname
English, of Welsh origin
English, of Welsh origin : variant of Badder, with English patronymic -s added.
Boy/Male
Danish, German, Scandinavian, Swedish
Brother
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 Brier.German : Americanized form of Breuer.
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.
Surname or Lastname
English
English : variant of Cordray.
BORDERS THEOREM
BORDERS THEOREM
Male
Polish
Polish form of Greek Isidoros, IZYDOR means "gift of Isis."
Girl/Female
British, English
Wise; Young
Surname or Lastname
English
English : habitational name from a minor place in Cumbria named after the river on which it stands. The river name derives from Old Norse birki ‘birch’ + bekkr ‘stream’.Americanized form of either Swedish Björkbäck or Danish Birkebæk, which have the same origin as the English river name.
Girl/Female
Arabic
Sheep; Goat; Name of a Valley Between Makkah and Taif; Shinning Star; Garden of Roses
Boy/Male
Tamil
Satyasaivardhan | ஸதà¯à®¯à®¾à®¸à¯ˆà®µà®°à¯à®¤à®¨Â
Girl/Female
Greek
Loving.
Girl/Female
Arabic, Farsi, Iranian
Poison
Surname or Lastname
English
English : variant of Veazey.
Boy/Male
American, Anglo, British, English
From the Crane Valley; Valley of Cranes
Girl/Female
Indian
Beauty, Lucky
BORDERS THEOREM
BORDERS THEOREM
BORDERS THEOREM
BORDERS THEOREM
BORDERS THEOREM
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.
That which prescribes a method of procedure; a rule or regulation made by competent authority; as, the rules and orders of the senate.
a.
Being on duty; keeping order; conveying orders.
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.
n.
To admit to holy orders; to ordain; to receive into the ranks of the ministry.
n.
Any bivalve mollusk (Saxicava, Lithodomus, etc.) which bores into limestone and similar substances.
n.
Rank; degree; thus, the order of a curve or surface is the same as the degree of its equation.
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.
n.
Right arrangement; a normal, correct, or fit condition; as, the house is in order; the machinery is out of 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.
To give an order for; to secure by an order; as, to order a carriage; to order groceries.
n.
One that bores; an instrument for boring.
v. i.
To give orders; to issue commands.
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.
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.
To give an order to; to command; as, to order troops to advance.
imp. & p. p.
of Border
v. t.
To make a border for; to furnish with a border, as for ornament; as, to border a garment or a garden.
n.
A border one fifth the width of the shield, surrounding the field. It is usually plain, but may be charged.
n.
An assemblage of genera having certain important characters in common; as, the Carnivora and Insectivora are orders of Mammalia.