scholarly journals ON THE VELDKAMP SPACE OF GQ(4, 2)

2011 ◽  
Vol 08 (01) ◽  
pp. 39-47 ◽  
Author(s):  
METOD SANIGA

The Veldkamp space, in the sense of Buekenhout and Cohen, of the generalized quadrangle GQ(4, 2) is shown not to be a (partial) linear space by simply giving several examples of Veldkamp lines (V-lines) having two or even three Veldkamp points (V-points) in common. Alongside the ordinary V-lines of size five, one also finds V-lines of cardinality three and two. There, however, exists a subspace of the Veldkamp space isomorphic to PG(3, 4) having 45 perps and 40 plane ovoids as its 85 V-points, with its 357 V-lines being of four distinct types. A V-line of the first type consists of five perps on a common line (altogether 27 of them), the second type features three perps and two ovoids sharing a tricentric triad (240 members), whilst the third and fourth type each comprises a perp and four ovoids in the rosette centered at the (common) center of the perp (90). It is also pointed out that 160 non-plane ovoids (tripods) fall into two distinct orbits — of sizes 40 and 120 — with respect to the stabilizer group of a copy of GQ(2, 2); a tripod of the first/second orbit sharing with the GQ(2, 2) a tricentric/unicentric triad, respectively.

10.37236/5486 ◽  
2016 ◽  
Vol 23 (1) ◽  
Author(s):  
Supalak Sumalroj ◽  
Chalermpong Worawannotai

We prove that a distance-regular graph with intersection array {22,16,5;1,2,20} does not exist. To prove this, we assume that such a graph exists and derive some combinatorial properties of its local graph. Then we construct a partial linear space from the local graph to display the contradiction.


2018 ◽  
Vol 11 (1) ◽  
pp. 49-60
Author(s):  
Miftahul Huda

The reality of the difference in applying Islamic law in the context of marriage law legislation in modern Muslim countries is undeniable. Tunisia and Turkey, for example, have practiced Islamic law of liberal nuance. Unlike the case with Saudi Arabia and the United Arab Emirates that still use the application of Islamic law as it is in their fiqh books. In between these two currents many countries are trying to apply the law in their own countries by trying to bridge the urgent new needs and local wisdom. This is widely embraced by modern Muslim countries in general. This paper reviews typologically the heterogeneousness of family law legislation of modern Muslim countries while responding to modernization issues. Typical buildings seen from modern family law reforms can be classified into four types. The first type is progressive, pluralistic and extradoctrinal reform, such as in Turkey and Tunisia. The second type is adaptive, unified and intradoctrinal reform, as in Indonesia, Malaysia, Morocco, Algeria and Pakistan. The third type is adaptive, unified and intradoctrinal reform, represented by Iraq. While the fourth type is progressive, unifiied and extradoctrinal reform, which can be represented by Somalia and Algeria.


1917 ◽  
Vol 4 (6) ◽  
pp. 249-256
Author(s):  
Herbert L. Hawkins

The characters of the apical system of a series of Holectypus hemisphæricus from the same horizon at two localities in Dorsetshire are analysed and described. It is found that the average relations of the plates of the system are different at the two localities, although certain numbers of identical forms occur at both. Out of 189 specimens (from both localities), 40 show serious departures from the normal type. These abnormalities are of three classes. One, the most prevalent, consists in the presence of madreporic pores on genital 3, in addition to the normal perforation of genital 2. This is regarded as a “progressive variant” in the direction of Discoides. The second, occurring in three specimens, consists in the interpolation of a supernumerary plate within the system. It is suggested that this may be either a “regressive variant” towards Acrosalenia, or a “progressive variant” towards Nucleolites (as illustrated by N.orlicularis). In neither case would this variation coincide with actual phyletic sequence, so that it is styled “parallel variation”. The third type of variant, seen in one specimen only, combines both the first and second types, and in addition shows an absence of genital 5 and a corresponding increase in the size of the posterior oculars, which meet round the back of the system. The variation in this specimen is interpreted as being “progressive” towards Discoides, “parallel progressive” or “regressive” towards Nucleolites or Acrosalenia respectively, and “progressive” towards Conulus. There are indications of a different series of variants in the Holectypus depressus from the Cornbrash. The high percentage of variation in the composition of the apical system of Holectypus is regarded as an indication of the evolutional activity of the genus, and of its near approximation in time and phylogeny to the common origin of many of the groups of Irregular Echinoids.


1984 ◽  
Vol 20 (3) ◽  
pp. 417-427
Author(s):  
Steven Payne

Are mystical states essentially ‘everywhere the same’? Though this question is notoriously obscure and difficult to answer, many contemporary writers on mysticism seem to favour an affirmative response to it, for a variety of reasons. First of all, some are impressed by the undeniable similarity in the testimony of mystics from widely divergent backgrounds and cultures; like most readers of mystical literature, they are deeply struck by the degree of apparent consensus between Christian, Hindu, and Buddhist contemplatives, for example. Secondly, there is a commendable desire in recent times to adopt a more positive and open-minded approach to other religions, and to acknowledge the value of their spiritual traditions; consequently, Christian authors today tend to focus on the common elements in Christian and non-Christian spiritualities, downplaying any differences. In the third place, those who wish to defend the cognitive value of mystical experiences on the basis of the ‘universal agreement’ of mystics will naturally maintain that there is a fundamental unanimity behind their different reports.


PMLA ◽  
1912 ◽  
Vol 27 (2) ◽  
pp. 117-141
Author(s):  
Robert Adger Law
Keyword(s):  

The chief source of Shakespeare's tragedy of Richard the Third has long been acknowledged to be either Hall's or Holinshed's prose Chronicle. In addition, some echoes have been discovered in it of the Latin tragedy, Richardus Tertius, of the anonymous English True Tragedie of Richard the Third, and of Marlowe's play, Edward the Second. But for one of the longest and most impressive scenes in Shakespeare's drama, that in which Clarence in prison meets his death at the hands of two ruffians hired for the deed by his brother, the Duke of Gloucester, no source is generally known. For the basis of the entire scene, Hall's Chronicle, which is so close akin to most situations in the play, contains of Clarence's death merely the statement that “attainted was he by parliament and iudged to death, and there vpon hastely drowned in a butte of malmesey within the towre of London.” Mr. P. A. Daniel expresses the common opinion of Shakespearian scholars to-day in saying, “Shakespeare seems to have been indebted to his own imagination only, for the scene of Clarence in prison, his beautiful narrative of his dream, and the less happy dialogue of the murderers.”


Author(s):  
Ingars Gusāns

The aim of the study is to describe the titles of Latvian metal music albums, from the perspective of content, by identifying the common and distinctive character of the metallic music tradition, and perhaps even the local one. Of 241 album titles (data on Dec. 31, 2019), most are in English, some in French, Latin, Russian, some consisting of digits, and 69 titles in Latvian. These titles are the subject of the research. The main source is Encyclopaedia Metallum (www.metal-archives.com), which still does not reflect the current situation concerning Latvian metal music. Album titles in this study are viewed separately from album designs and song titles and are analysed from the perspective of content. The album title is an important part of the work that has been issued because it is an element that makes the audience/buyer pay attention to the album because it must not be forgotten that today the album is also an item that you want to sell. In general, it can be concluded that Latvian metal musicians, with their album titles in Latvian, are mostly following world trends, as evidenced by the integration in the researcher Deena Weinstein’s classification of Dionysian discourse and discourse on chaos. Most titles are more relevant to the discourse on chaos because the thematic circle of chaos is wider. Latvian mythology, along with history, is an up-to-date source for the creative work of bands that is responsible for the local feeling of the titles. A large enough number are titles that are difficult to fit in the Weinstein’s division and form the third group with philosophical titles and simply all sorts of titles. If the philosophical titles follow the world’s trends, the simple titles include the names of the events, tributes, and the titles of literary works, which give them a local character.


2015 ◽  
Vol 3 (1) ◽  
Author(s):  
Guoliang Xu ◽  
Xia Wang ◽  
Ming Li ◽  
Zhucui Jing

AbstractWe present an efficient and reliable algorithm for determining the orientations of noisy images obtained fromprojections of a three-dimensional object. Based on the linear relationship among the common line vectors in one image plane, we construct a sparse matrix, and show that the coordinates of the common line vectors are the eigenvectors of the matrix with respect to the eigenvalue 1. The projection directions and in-plane rotation angles can be determined fromthese coordinates. A robust computation method of common lines in the real space using aweighted cross-correlation function is proposed to increase the robustness of the algorithm against the noise. A small number of good leading images, which have the maximal dissimilarity, are used to increase the reliability of orientations and improve the efficiency for determining the orientations of all the images. Numerical experiments show that the proposed algorithm is effective and efficient.


1979 ◽  
Vol 45 (3) ◽  
pp. 955-962 ◽  
Author(s):  
Yutaka Haruki ◽  
Hideko Ito ◽  
Yoshitaka Oue ◽  
Kaneo Nedate

The hypothesis tested was that the type of reinforcement (with regard to the administrator and the recipient) is responsible for differentiating the efficiency of learning in humans. The first type, termed external reinforcement, is one in which the experimenter controls and the subject receives the reinforcement. The second type is self-reinforcement, i.e., the subject controls and receives the reinforcement. The third type ( internal reinforcement) reverses the subject-experimenter relationship employed in the first type. The fourth type ( alien reinforcement) occurs when the experimenter replaces the subject's role played in the second type. In Exp. I, 30 male undergraduates learned to choose as correct a nonsense syllable among four such syllables on each test card. A male graduate student served as the experimenter. Results indicated that the subjects can learn the task under the conditions of the fourth type of reinforcement as well as the first type. The fourth type was superior in its effect on learning. In Exp. II, 19 male undergraduates learned to choose one of the four meaningful words, and a female graduate student served as experimenter. Neither the second nor the third type was effective. It was concluded that the type of reinforcement in which the experimenter is reinforced by himself seems most effective in facilitating learning, due probably to some motivational factor.


Life ◽  
2022 ◽  
Vol 12 (1) ◽  
pp. 62
Author(s):  
Harri Hemilä ◽  
Elizabeth Chalker

Evidence has shown unambiguously that, in certain contexts, vitamin C is effective against the common cold. However, in mainstream medicine, the views on vitamin C and infections have been determined by eminence-based medicine rather than evidence-based medicine. The rejection of the demonstrated benefits of vitamin C is largely explained by three papers published in 1975—two published in JAMA and one in the American Journal of Medicine—all of which have been standard citations in textbooks of medicine and nutrition and in nutritional recommendations. Two of the papers were authored by Thomas Chalmers, an influential expert in clinical trials, and the third was authored by Paul Meier, a famous medical statistician. In this paper, we summarize several flaws in the three papers. In addition, we describe problems with two recent randomized trial reports published in JAMA which were presented in a way that misled readers. We also discuss shortcomings in three recent JAMA editorials on vitamin C. While most of our examples are from JAMA, it is not the only journal with apparent bias against vitamin C, but it illustrates the general views in mainstream medicine. We also consider potential explanations for the widespread bias against vitamin C.


2015 ◽  
Vol 2 (2) ◽  
Author(s):  
Fenny - Thresia

The purpose of this study was study analyze the students’ error in writing argumentative essay. The researcher focuses on errors of verb, concord and learner language. This study took 20 students as the subject of research from the third semester. The data took from observation and documentation. Based on the result of the data analysis there are some errors still found on the student’s argumentative essay in English writing? The common errors which repeatedly appear are verb. The second is concord, and learner languages are the smallest error. From 20 samples that took, the frequency the errors of verb are 12 items (60%), concord are 8 items (40%), learner languages are 7 items (35%). As a result, verb has the biggest number of common errors.


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