Results 61 to 70 of about 279 (214)
This paper examines two classical combinatorial games, Nim and the Domino Game on Linear Strips, through the shared principles of parity, recursion, and binary structure. It begins by formalizing Nim, where each position’s outcome is determined by the Nim-sum (bitwise XOR) of heap sizes: positions with zero Nim-sum are losing, and optimal play involves
Elliot Mendelson, Daniel Zwillinger
openaire +3 more sources
Total positivity for cominuscule Grassmannians [PDF]
In this paper we explore the combinatorics of the non-negative part $(G/P)_{\geq 0}$ of a cominuscule Grassmannian. For each such Grassmannian we define Le-diagrams ― certain fillings of generalized Young diagrams which are in bijection with the cells of
Thomas Lam, Lauren Williams
doaj +1 more source
We introduce a new Nim-like two-player combinatorial game and present a complete winning strategy for the winning side.
openaire +2 more sources
Chronobiology of Cancer: How Aging Fuels Oncogenesis at the Molecular Level
This graphical abstract illustrates the key biological pathways linking aging with cancer development and progression. In the upper left, cumulative exposure to ultraviolet radiation, toxins, and reactive oxygen species (ROS) causes DNA damage and genomic instability, whereas age‐related decline in repair mechanisms, such as ATM/ATR, BER, and NER ...
Anu Singh, Aroonima Misra, Sufian Zaheer
wiley +1 more source
SOLVING OF SOME OPTIMIZATION PROBLEMS ON ARRANGEMENTS AND PERMUTATIONS OF GAME TYPE
Mathematical models of optimization problems on arrangements and permutations of game type in which both players have combinatorial restrictions for using their strategies are built and studied.
O.A. Yemets, N.Yu. Ustian
doaj
Sequential compounds of combinatorial games
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Walter Stromquist, Daniel Ullman 0001
openaire +1 more source
ABSTRACT Objective This analysis evaluates the effect of successful reperfusion on functional outcomes after MT, stratified by admission National Institutes of Health Stroke Scale (NIHSS) and Alberta Stroke Program Early CT Score (ASPECTS) as surrogates for clinical‐core mismatch, using multicenter registry data.
Felix Schlicht +53 more
wiley +1 more source
Combinatorial Game Complexity: An Introduction with Poset Games
Poset games have been the object of mathematical study for over a century, but little has been written on the computational complexity of determining important properties of these games. In this introduction we develop the fundamentals of combinatorial game theory and focus for the most part on poset games, of which Nim is perhaps the best-known ...
Stephen A. Fenner, John D. Rogers
openaire +3 more sources
Progressive Parkinsonism in PPP2R5D‐Related Neurodevelopmental Disorder
ABSTRACT PPP2R5D‐related neurodevelopmental disorder (Houge–Janssens syndrome type 1) is a rare autosomal dominant condition characterized by macrocephaly, intellectual disability, and epilepsy. Progressive parkinsonism is an emerging adult phenotype that neurologists should be aware of since timely genetic diagnosis opens the door to disease‐modifying
Katerina Bernardi +6 more
wiley +1 more source
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source

