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309
RealTime Systems
, 2000
"... Collision avoidance is an important topic in multirobot systems. Existing multirobot pathfinding approaches ignore sideswipe collisions among robots (i.e., only consider the collision which two agents try to occupy the same node during the same timestep) [1, 3, 4], and allow diagonal move between ..."
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Cited by 602 (11 self)
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Collision avoidance is an important topic in multirobot systems. Existing multirobot pathfinding approaches ignore sideswipe collisions among robots (i.e., only consider the collision which two agents try to occupy the same node during the same timestep) [1, 3, 4], and allow diagonal move
Diagonal peg solitaire
 Integers
, 2007
"... We study the classical game of peg solitaire when diagonal jumps are allowed. We prove that on many boards, one can begin from a full board with one peg missing, and finish with one peg anywhere on the board. We then consider the problem of finding solutions that minimize the number of moves (where ..."
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Cited by 1 (1 self)
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We study the classical game of peg solitaire when diagonal jumps are allowed. We prove that on many boards, one can begin from a full board with one peg missing, and finish with one peg anywhere on the board. We then consider the problem of finding solutions that minimize the number of moves (where
Behavioral theories and the neurophysiology of reward,
 Annu. Rev. Psychol.
, 2006
"... ■ Abstract The functions of rewards are based primarily on their effects on behavior and are less directly governed by the physics and chemistry of input events as in sensory systems. Therefore, the investigation of neural mechanisms underlying reward functions requires behavioral theories that can ..."
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Cited by 187 (0 self)
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of different food and liquid rewards Reward neurons should distinguish rewards from punishers. Different neurons in orbitofrontal cortex respond to rewarding and aversive liquids The omission of reward following a CS moves the contingency toward the diagonal line in Prediction Error Just as with behavioral
Diagonal changes for surfaces in hyperelliptic components A geometric natural extension of FerencziZamboni moves
, 2013
"... We describe geometric algorithms that generalize the classical continued fraction algorithm for the torus to all translation surfaces in hyperelliptic components of translation surfaces. We show that these algorithms produce all saddle connections which are best approximations in a geometric sense, ..."
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, which generalizes the notion of best approximation for the classical continued fraction. In addition, they allow to list all systoles along a Teichmueller geodesic and all bispecial words which appear in the symbolic coding of linear flows. The elementary moves of the described algorithms provide a
A movingbarberpole illusion
"... In the barberpole illusion (BPI), a diagonally moving grating is perceived as moving vertically because of the shape of the vertically oriented window through which it is vieweda strong shapemotion interaction. We introduce a novel stimulusthe moving barber polein which a diagonal, drifting si ..."
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In the barberpole illusion (BPI), a diagonally moving grating is perceived as moving vertically because of the shape of the vertically oriented window through which it is vieweda strong shapemotion interaction. We introduce a novel stimulusthe moving barber polein which a diagonal, drifting
Invariants of Solvable Lie Algebras with Triangular Nilradicals and Diagonal Nilindependent Elements
, 706
"... The invariants of solvable Lie algebras with nilradicals isomorphic to the algebra of strongly upper triangular matrices and diagonal nilindependent elements are studied exhaustively. Bases of the invariant sets of all such algebras are constructed by an original purely algebraic algorithm based on ..."
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Cited by 4 (0 self)
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The invariants of solvable Lie algebras with nilradicals isomorphic to the algebra of strongly upper triangular matrices and diagonal nilindependent elements are studied exhaustively. Bases of the invariant sets of all such algebras are constructed by an original purely algebraic algorithm based
Invariants of Triangular Lie Algebras with One Nilindependent Diagonal Element
, 705
"... The invariants of solvable triangular Lie algebras with one nilindependent diagonal element are studied exhaustively. Bases of the invariant sets of all such algebras are constructed using an original algebraic algorithm based on Cartan’s method of moving frames and the special technique developed f ..."
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Cited by 2 (1 self)
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The invariants of solvable triangular Lie algebras with one nilindependent diagonal element are studied exhaustively. Bases of the invariant sets of all such algebras are constructed using an original algebraic algorithm based on Cartan’s method of moving frames and the special technique developed
Quantum state diffusion, density matrix diagonalization and decoherent histories: A model
, 1995
"... ABSTRACT: We analyse the quantum evolution of a particle moving in a potential in interaction with an environment of harmonic oscillators in a thermal state, using the quantum state diffusion (QSD) picture of Gisin and Percival. The QSD picture exploits a mathematical connection between the usual Ma ..."
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Cited by 8 (1 self)
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ABSTRACT: We analyse the quantum evolution of a particle moving in a potential in interaction with an environment of harmonic oscillators in a thermal state, using the quantum state diffusion (QSD) picture of Gisin and Percival. The QSD picture exploits a mathematical connection between the usual
Lattice Paths with Weighted Left Turns Above a Parallel to the Diagonal
"... steps moves the we ight from left to right turns . 0 2¯ + 3¯ 2 4¯ + 9¯ 2 + ¯ 3 6¯ + 18¯ 2 + 4¯ 3 : : : / t 3 (u) 0 2¯ 4¯ + ¯ 2 6¯ + 3¯ 2 8¯ + 6¯ 2 : : : / t K (u) 1 1 + ¯ 1 + 2¯ 1 + 3¯ 1 + 4¯ : : : / t 1 (u) 1 1 1 1 1 : : : / t 0 (u) u = 0 u = 1 u = 2 u = 3 u = 4 : : : degree v & ..."
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steps moves the we ight from left to right turns . 0 2¯ + 3¯ 2 4¯ + 9¯ 2 + ¯ 3 6¯ + 18¯ 2 + 4¯ 3 : : : / t 3 (u) 0 2¯ 4¯ + ¯ 2 6¯ + 3¯ 2 8¯ + 6¯ 2 : : : / t K (u) 1 1 + ¯ 1 + 2¯ 1 + 3¯ 1 + 4¯ : : : / t 1 (u) 1 1 1 1 1 : : : / t 0 (u) u = 0 u = 1 u = 2 u = 3 u = 4 : : : degree v
(7) Rightdiagonalness (8) Aspectratio: skinny?fat
"... These semantic features were collected with Mechanical Turk and represent behavioral data for the 60 words for which we have brain activation data. (1) Is it an animal? (2) Is it a body part? (3) Is it a building? (4) Is it a building part? (5) Is it clothing? (6) Is it furniture? (7) Is it an insec ..."
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VECTORS FROM A MODEL OF BRAIN AND TEXT BASED MEANING 3 (57) Is it slippery? (58) Can it change shape? (59) Can it bend? (60) Can it stretch? (61) Can it break? (62) Is it fragile? (63) Does it have parts? (64) Does it have moving parts? (65) Does it come in pairs? (66) Does it come in a bunch/pack? (67
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