scholarly journals Queens in Exile: Non-attacking Queens on Infinite Chess Boards

10.37236/8905 ◽  
2020 ◽  
Vol 27 (1) ◽  
Author(s):  
F. Michel Dekking ◽  
Jeffrey Shallit ◽  
N. J. A. Sloane

Number the cells of a (possibly infinite) chessboard in some way with the numbers $0, 1, 2, \ldots$. Consider the cells in order, placing a queen in a cell if and only if it would not attack any earlier queen. The problem is to determine the positions of the queens. We study the problem for a doubly-infinite chessboard of size $\mathbb{Z} \times \mathbb{Z}$ numbered along a square spiral, and an infinite single-quadrant chessboard (of size $\mathbb{N} \times \mathbb{N}$) numbered along antidiagonals. We give a fairly complete solution in the first case, based on the Tribonacci word. There are connections with combinatorial games.


2012 ◽  
Vol 9 (2) ◽  
pp. 118-122
Author(s):  
A.A. Rakhimov

Experiments were carried out with waterhydrocarbon emulsions with various emulsifiers in capillaries with a length of 2 cm, diameters of 40 and 100 µm. To eliminate the influence of mechanical impurities comparable in size with the diameter of the capillary in first case emulsion components were filtered through fine-meshed filters. In second case obtained that way emulsion was additionally filtered through a system consisting of 3 filters with a cell size of 30-40 microns. In a capillary of 100 µm such emulsion came in a blocked state. Additional filtration of the emulsion through the mesh filters have led to an increase in viscosity but in 100 µm capillaries the time until the blocking 2-3 times more than the original. Rheology of used emulsions is well described by the model of Ostwald-de Waale. It was determined that emulsion blocking mechanism is due to the presence of inclusions not emulsion viscosity.



2019 ◽  
Vol 20 (8) ◽  
pp. 490-497
Author(s):  
V. P. Noskov ◽  
I. O. Kiselev

The actual tasks of 3D-reconstruction of the industrial-urban environment and navigation models are considered by solving the identification of textured linear objects in the process of movement according to the onboard complex and technical vision system consisting of a mutually adjusted 3D laser sensor and a video camera with a common viewing area. For a complete solution of the navigation task (determination of three linear and three angular coordinates of the control object), it is necessary to select and identify at least three mutually non-parallel flat objects in the process of moving in a sequence of point clouds formed by a 3D laser sensor. In the case of the allocation of less than three flat objects (for example, in environments subjected to destruction), the navigation problem is not fully solved (not all coordinates are determined unambiguously, and some coordinates are related by linear or non-linear dependencies). In these cases, it is proposed to additionally use the texture of the selected flat objects formed by the video camera. In the paper is given the analysis of the features of the solution of the navigation problem is carried out depending on the number of allocated and identifiable textured linear objects in the current integrated images and algorithms for solving the navigation problem are evaluated for selecting and identifying the process of movement of one textured linear object and of two textured non-parallel linear objects. It is shown that in the first case, the use of texture makes it possible to reduce the solution of the navigational problem to a three-dimensional one, and in the second case to a one-dimensional optimization problem (finding the global optimum of a functional three and one variable, respectively). The proposed algorithms for processing complexed images provide a complete solution to the navigation task even if less than three linear objects are selected, which significantly increases the reliability of solving the navigation task and building an environmental model even in industrial-urban environments that have been destroyed, and therefore, the reliability and survivability of the ground ones and airborne robotic tools in autonomous modes of movement. The results of the corresponding software and hardware solutions in real industrial-urban environments, confirmed the accuracy and effectiveness of the proposed algorithms.



2012 ◽  
Vol 2012 ◽  
pp. 1-4
Author(s):  
Javier Sánchez ◽  
Lutgardo García-Díaz ◽  
David Chinchón ◽  
Guillermo Antiñolo

Monosomy of chromosome 14 has been reported in only a few prenatal cases. Generally, this monosomy is associated with a mosaicism of ring chromosome 14. Ring chromosome 14 is a rare cytogenetic entity with clinical characteristics that include growth retardation, facial dysmorphia, hypotonia, seizures, and retinitis pigmentosa. Given that the majority of symptoms appear postnatally, few cases have been reported of prenatal diagnosis of mosaicism monosomy/ring chromosome 14. We describe the prenatal diagnosis of a case of chromosomal mosaicism, a cell line with ring chromosome 14, r(14), and a second cell line with monosomy 14, in a fetus with aortic coarctation and chamber asymmetry. This is the first case of a prenatal diagnosis associating mosaicism with ring chromosome 14, monosomy 14, and fetal cardiopathy. We identified the exact breakpoint in ring chromosome 14 in IGH locus, which may provide further insight into the mode of ring formation as well as prenatal findings.



Author(s):  
Ryuichiro Hiyama ◽  
Hiroshi Oiwa ◽  
Yukari Kanou ◽  
Shiho Nishibe ◽  
Tomoyuki Kono ◽  
...  

ABSTRACT Giant cell arteritis (GCA) occasionally presents with ischaemic stroke. Generally, symptoms related to GCA or elevated levels of inflammation markers would be a clue for the diagnosis of GCA. However, we encountered a rare case of GCA that presented with recurrent cerebellar infarctions without symptoms related to GCA (headache, fever, or jaw claudication). Furthermore, C-reactive protein levels, measured at the time of two of the stroke attacks, were within the normal range. On physical examination, the temporal arteries were prominent and weakly pulsatile. Temporal artery ultrasonography showed halo signs, and temporal artery biopsy revealed GCA. To our knowledge, this is the first case of GCA presenting with recurrent ischaemic stroke lacking GCA features but diagnosed before death. Considering this case-based review, we suggest that GCA may have been missed in elderly patients with ischaemic stroke, especially in those with posterior circulation infarction. Therefore, physical examination of the temporal arteries, temporal artery ultrasonography, and vessel wall magnetic resonance imaging may be useful in those patients.



2014 ◽  
Vol 121 (4) ◽  
pp. 924-928 ◽  
Author(s):  
Terence Tan ◽  
Jin W. Tee ◽  
Tiew F. Han

The authors report the first case of vasogenic cerebral edema due to a cell-mediated hypersensitivity reaction to a nickel-containing aneurysm clip. The patient initially presented for elective clipping of a right middle cerebral artery aneurysm, and on long-term follow-up she demonstrated relapsing-remitting cerebral edema. Four years post–aneurysm clipping, she underwent an exploratory craniotomy given unsuccessful conservative management of her headaches and imaging evidence of cerebral edema with mass effect. During surgery, gross parenchymal edema and inflammatory nodules were observed. Histopathology was consistent with a cell-mediated (Type IV) hypersensitivity reaction. Concerns regarding nickel allergy are often reported in the cardiac literature. This case highlights the possibility of nickel hypersensitivity when using nickel-containing aneurysm clips, especially in patients with known nickel allergies.



1994 ◽  
Vol 9 (1) ◽  
pp. 61-64 ◽  
Author(s):  
David B. Leake

Case-based reasoning (CBR) systems reason from experience: they solve new problems by retrieving relevant prior cases and adapting them to fit new situations. In 1988 the first case-based reasoning workshop, sponsored by DARPA, identified theoretical foundations and fundamental issues for case-based reasoning research. Since then, much investigation has examined the CBR process itself, the validity of CBR as a cognitive model, and the application of CBR technology. The results of that work include refinements in theories of the case-based reasoning process, psychological evidence for human case-based reasoning, and the fielding of over 100 CBR applications.



2021 ◽  
Vol 11 (13) ◽  
pp. 5835
Author(s):  
Bingyu Liu ◽  
Dezhi Hao ◽  
Xianwen Gao ◽  
Dingsen Zhang

The grinding product particle size is the most crucial operational index of mineral grinding processes. The size and consistency of the product directly affects the subsequent dressing and sintering. In this paper, a novel expert system is proposed for guiding the operating variables to keep the product stable with the wildly varying ore properties. First, case-based reasoning (CBR) is introduced to describe the whole grinding process with the historical data and expert experience. Second, the generative adversarial network (GAN) is employed to extend the raw data to enhance the flexibility of CBR. Moreover, the weights of different features in CBR is optimized by improved non-dominated sorting genetic algorithm II (NSGA-II). Finally, the proposed method is validated by a set of actual data collected from a Chinese dressing plant. The experimental result demonstrates the effectiveness of the proposed method.



2016 ◽  
Vol 42 (04) ◽  
pp. 213-217 ◽  
Author(s):  
Julia Chu-Ning Hsu ◽  
Cheng-Chung Lin ◽  
Fu-Hsiang Hou ◽  
Hao-Kai Chang ◽  
Tien-Huan Hsu ◽  
...  

Two consecutive cases of hemorrhagic purpura characterized by severe subcutaneous bruising and extensive hemorrhages in the visceral organs of the affected suckling piglets occurred in a pig farm. A total of forty 2- to 3-day-old neonates were affected in the first case and there were eight 8- to 9-day-old piglets in the second case which occurred 3 months later. The hematological study of one affected piglet showed marked thrombocytopenia with macrocytic hypochromic anemia without coagulation factor impairment in the second case. Based on the presence of severe thrombocytopenia, extensive hemorrhagic lesions and restricted occurrence in particular suckling pigs, isoimmune thrombocytopenic purpura was suspected in both cases. This is the first such case reported in Taiwan.



Author(s):  
Enda Hannan ◽  
Gerard Feeney ◽  
Mohammad Fahad Ullah ◽  
Kamran Amin ◽  
John Calvin Coffey ◽  
...  

AbstractTransanal minimally invasive surgery (TAMIS) has gained worldwide acceptance as a means of local excision of early rectal cancers and benign rectal lesions. However, it is technically challenging due to the limitations of rigid laparoscopic instruments in the narrow rectal lumen. Robotic platforms offer improved ergonomics that are valuable in operative fields with limited space. Robotic TAMIS represents an exciting new development that may be more versatile than traditional TAMIS. In this review, we describe the first case of robotic TAMIS performed in our country and a review of current literature on the technique.



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