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507012
Caption: After the basic loop, the simplest knot is the trefoil, or overhand, formed with exactly three crossings
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 8.97 MB
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507022
Caption: A Julia set is the boundary between points that diverge to infinity and those that remain finite under repeated iteration
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 13.07 MB
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507101
Caption: Table of mathematical knots with zero to seven crossings The number of distinct knots increases with the number of crossings
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 16.34 MB
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481313
Caption: Three types of natural selection, showing the effects of each on the distribution of phenotypes within a population.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 23.68 MB
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481191
Caption: The figure illustrates the equivalence of the Chinese complementary rectangles theorem and the Greek similar triangles theorem.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 17.36 MB
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506933
Caption: The Koch snowflake is continuous but nowhere differentiable; that is, at no point on the curve does there exist a tangent line
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 36.55 MB
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481437
Caption: The ancient Greeks arranged pebbles in patterns to discern arithmetical, as well as mystical, relationships between numbers.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 18.60 MB
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481498
Caption: The Konigsberg bridge problem led Leonhard Euler, a Swiss mathematician, to begin the development of graph theory.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 41.95 MB
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481343
Caption: If a saddlepoint does not exist for a payoff matrix, a probabilistic strategy is optimal to maximize expected (average) rewards.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 41.86 MB
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481246
Caption: In variable-sum games each payoff depends on both players' actions, so each matrix entry lists two payoffs, one for each player.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 20.93 MB
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481026
Caption: The first reduction for an n-person voting game theory, illustrating the strategies least suitable for each participant.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 39.99 MB
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481272
Caption: The second reduction for an n-person voting game theory, illustrating the strategies least suitable for each participant.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 35.17 MB
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481417
Caption: A saddlepoint, or entry, in a payoff matrix at which the expected gain of each participant has the highest guaranteed payoff.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 41.86 MB
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480998
Caption: Computer interface for an artificial stock market, simulating the relationship between offers and bids.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 12.93 MB
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481512
Caption: Graph of Moore's law, a 1965 observation that the number of transistors on a computer chip doubles about every 18 months.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 28.34 MB
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481519
Caption: Diagram of a wave system depicting typical divergence and convergence distributions for non-tilting and tilting systems.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 38.43 MB
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481161
Caption: The prisoners' dilemma in game theory demonstrates how communication among participants can drastically alter their strategy.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 41.86 MB
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481127
Caption: The Hawk-Dove model of game theory, illustrating the costs and benefits of fighting over resources.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 71.21 MB
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481097
Caption: Pay-off matrix showing bourgeois, or mixed attack/retreat behaviour, as the most stable strategy for a population.
Artist: Encyclopaedia Britannica
Release: Not Applicable
File Size: 39.01 MB