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King independence on triangle boards

Jens-P. Bode, Heiko Harborth, Martin Harborth
2003 Discrete Mathematics  
For two chess-like kings on triangle boards Bn, we determine the independence numbers of their king graph for one king completely and for the second if n ≡ 1; 2 (mod 6).  ...  Introduction For graphs of the two kings KG 2 and KG 4 (already deÿned in [1] ) on triangle boards B n the independence numbers ÿ n are determined.  ...  King 2 The independence number ÿ n (KG 2 ) on a board B n will be proved to be one-sixth of the number c(n) = 3n 2 =2 of triangles plus about n=2.  ... 
doi:10.1016/s0012-365x(02)00825-7 fatcat:dq5d5szlrjbahheth3jw766k3m

Computer Games: Eight Pieces Cannot Cover a Chess Board

A. D. Robison, B. J. Hafner, S. S. Skiena
1989 Computer journal  
The problem of maximising the number of squares on a chess board which can be attacked by a configuration of the eight main pieces was first posed in 1849.  ...  Our search technique, which pruned the space of2.27x 10 11 positions to 1.03 x 10 s , is of independent interest.  ...  The king axis folding is the simplest. The completely folded king axis corresponds to putting 64 kings on the board, one on each square.  ... 
doi:10.1093/comjnl/32.6.567 fatcat:m5e4kckeongbziqrmw5467wtlu

Page 68 of Practical Teacher: With Which Is Incorporated the Practical Teacher's Art Monthly Vol. 4, Issue 2 [page]

1884 Practical Teacher: With Which Is Incorporated the Practical Teacher's Art Monthly  
Turning the board, let the words be dictated and written on slates to test whether the children have mastered their difficulties ; or let them be copied on slates and brought up at next day’s lesson.  ...  When Gloucester became king she was crowned as his queen in Westminster. On her death Richard had some | York, she being considered to have the best claim on the throne of any then living.  ... 

High-speed full analytical holographic computations for true-life scenes

Yuan-Zhi Liu, Jian-Wen Dong, Yi-Ying Pu, Bing-Chu Chen, He-Xiang He, He-Zhou Wang
2010 Optics Express  
This method allows analytically encoding the 3D model consisting of triangles.  ...  We develop a novel method to generate hologram of threedimensional (3D) textured triangle-mesh-model that is reconstructed from ordinary digital photos.  ...  It is clear that the pawn becomes defocus blur when focusing on the king, and vice versa.  ... 
doi:10.1364/oe.18.003345 pmid:20389342 fatcat:7ni7deuoizgopfekvc5apvoj2q

Page 652 of New Outlook Vol. 119, Issue [page]

1918 New Outlook  
One of that class, with ingenuity enough to put him on the Naval Advisory Board, brought in from Evans- ton, Wyoming, two spare detachable-rim tires filled with law- banned whisky.  ...  The flag, which, it is reported, was devised by King Hussain ~ THE NEWEST FLAG OF FREEDOM This is the standard of the new Kingdom of the Hedjaz, whose people have declared themselves independent of the  ... 

Restricted Set Classification with prior probabilities: A case study on chessboard recognition

Ludmila I. Kuncheva, James H.V. Constance
2018 Pattern Recognition Letters  
This task fits elegantly into the RSC approach as the number of pieces on the board is limited, and each class (type of piece) may have only a fixed number of instances.  ...  demonstrate that including prior probabilities calculated from existing chess games improves the RSC classification accuracy, which, in its own accord, is better than the accuracy of the classifier applied independently  ...  location of pieces on the board.  ... 
doi:10.1016/j.patrec.2018.04.018 fatcat:4bt2nhgb5ze6bimhvqbbwvfrcy

Page 116 of The Independent Vol. 113, Issue 3876 [page]

1924 The Independent  
116 THE INDEPENDENT Vol. 113, No. 3876 — Rhode Island, the gas-bomb episode was theculmina- tion of a long fight on the part of the Democrats, numerically in the majority, to force a program of reform  ...  on the Republicans, who controlled the Senate through their rural towns (the unit for Senate representation).  ... 

Changes in color appearance caused by perceptual grouping

SHERRY X. XIAN, STEVEN K. SHEVELL
2004 Visual Neuroscience  
We report here a new and substantial color shift caused by perceptual grouping: a shift in appearance due to chromatic induction in one part of the visual field occurs also in a separate region that belongs  ...  computer with a Radius video board (10 bits per gun).  ...  King (1988 King ( , 2001 , for instance, proposes that assimilation is due to the perception of fragments integrated into one "whole" (or group), whereas contrast is due to the perception of two "wholes  ... 
doi:10.1017/s0952523804213062 pmid:15518218 fatcat:sg5fi4jxuzdb7lo5ltdw6j6dhq

Page 82 of The Missionary Herald Vol. 49, Issue 3 [page]

1853 The Missionary Herald  
They are governed by independent kings, have a limited intercourse with each other, are resorted to by whalers, and occupied by a company of English traders, who export annually more than twelve hun- dred  ...  Randall, with several foreigners, attended public worship on board the Caroline in the morning. A num- ber of the natives were also present, and ap- peared to be greatly interested.  ... 

Page 169 of Literary Panorama, and National Register Vol. 5, Issue [page]

1808 Literary Panorama, and National Register  
Persevere in the same honourable path, and you will establish the credit of the New South Wales corps on a basis not to be shaken. —God save the King.  ...  f F h 169] along the coast of Spain, from Barcelona to the kingdom of Valencia, and uniting the coast of Valencia to the islands by means of a very darze triangle, one side of which | measured more than  ... 

Arranging kings k-dependently on hexagonal chessboards

Robert Doughty, Jessica Gonda, Adriana Morales, Berkeley Reiswig, Josiah Reiswig, Katherine Slyman, Daniel Pritikin
2016 Involve. A Journal of Mathematics  
Two kings placed on the board are said to "attack" each other if their spaces share a side or corner.  ...  According to our specific distance metric, n 2 is in fact the largest number of kings that can be placed on such a board with no two kings attacking one another, for a maximum "density" of 1 4 .  ...  For example, one could examine the k-dependence of kings on an n × n rhombus tiled with equilateral triangles, a parallelepiped whose surface is tiled with equilateral triangles, or a parallelepiped internally  ... 
doi:10.2140/involve.2016.9.699 fatcat:qxucs4wd6vcl7bhj3ohsm5ofpe

Editorial: Corporate governance and regulation: Further evidence on the ongoing developments

Tariq H. Ismail
2021 Journal of Governance and Regulation  
The paper concludes with the direction and the nature of the relationship between both: board members' independence and board members' financial experience on earnings management through real activities  ...  IV Report on Corporate Governance™ for South Africa (King IV™) principles.  ... 
doi:10.22495/jgrv10i3editorial fatcat:r6b2wfznpbagjjtcii7z2knhqq

CEO Wrongdoing: A Review of Pressure, Opportunity, and Rationalization

Karen Schnatterly, K. Ashley Gangloff, Anja Tuschke
2018 Journal of Management  
We apply the Fraud Triangle, a framework drawn from the accounting literature, to derive conclusions about what we know about the pressures faced by CEOs, the opportunities afforded to CEOs to commit wrongdoing  ...  In this review, we build upon previous efforts to synthesize the body of literature regarding the antecedents of CEO wrongdoing utilizing a framework that sheds light on the status of the literature and  ...  Recent scholarship focused on the power dynamics between the CEO and board and the appointment of a lead independent director (Krause, Withers, & Semadeni, 2017) implies the dynamic nature of CEO power  ... 
doi:10.1177/0149206318771177 fatcat:mtllc6ymzvggvpqnvkkkkmogwq

Sensory function assessment

Phyllis M. King
1997 Journal of Hand Therapy  
it with one of the textures contained on a sample board placed above the occluder box (Fig. 1).  ...  One at a time, wooden shapes were presented to the impaired hand, and the subject was asked to identify the shape by matching it with a shape on the sample board placed above the occluder box.  ... 
doi:10.1016/s0894-1130(97)80007-5 fatcat:hh5z7swcevajzc5ntkpcd7m4iy

Chess God's number grows exponentially [article]

Yaroslav Shitov
2014 arXiv   pre-print
If the chip is located on a triangle, it can jump (that is, can be moved) to any vacant vertex of the same triangle.  ...  By Lemma 2.1, the flow F(σ, i, 2) is independent of i, but it can take any value as σ varies.  ... 
arXiv:1409.1530v1 fatcat:m45ijzxxvjf3fbqhggywlfu25m
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