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Consider a finite t + r − 1 dimensional projective space PG(t + r − 1, s) over a Galois field GF(s) of order s = ϱh, where ϱ and h are positive integers and ϱ is the prime characteristic of the field. A collection of k points in PG (t + r − 1, s) constitutes an L(t, k)-set if no t of them are linearly dependent. An L(t, k)-set is maximal if there exists no other L(t, k′)-set with k′ > k. The largest k for which an L(t, k)-set exists is denoted by Mt(t + r, s). K. A. Bush [3] established that Mt(t, s) = t + 1 for t ⩾ s. The purpose of this paper is to generalize this result and study Mt(t + r, s) for t, r, and s in certain relationships.

Consider a finite (t + r - 1)-dimensional projective space PG(t + r - 1, s) based on the Galois field GF(s), where s is prime or power of a prime. A set of k distinct points in PG(t + r - 1, s), no t-linearly dependent, is called a (k, t)-set and such a set is said to be maximal if it is not contained in any other (k*, t)-set with k* > k. The number of points in a maximal (k, t)-set with the largest k is denoted by mt(t + r, s). Our purpose in the paper is to investigate the conditions under which two or more points can be adjoined to the basic set of Ei, i = 1, 2, ..., t + r, where Ei is a point with one in i-th position and zeros elsewhere. The problem has several applications in the theory of fractionally replicated designs and information theory. © 1973.

Consider a finite r-dimensional projective space PG(r, s) based on the Galois field GF(s) where s is prime or power of a prime. A set of n distinct points in PG(r, s), no t linearly dependent, is said to be maximal or complete if it is not contained in any other set with n* points with n* > n. The number of points in a maximal set is denoted by mt(r + 1, s). The purpose of this paper is to improve the existing bounds for m5(r + 1, s) for r ≥ 5 and s ≥ 5 (odd). The investigation of maximal sets in certain relationships of t, r and s yields parity check matrices of (r + 1) rows and n columns with elements from GF(s) satisfying the condition that no t columns are linearly dependent. This problem has applications to coding theory and also in the theory of fractionally replicated designs. © 1972 Academic Press, Inc.

This investigation was originally motivated by the problem of determining the maximum number of points in finite n-dimensional projective space PG(n, s) based on the Galois field GF(s) of order s=ph (where p and h are positive integers and p is the prime characteristic of the field), such that no t of these chosen points are linearly dependent. A set of k distinct points in PG(n, s), no t linearly dependent, is called a (k, t)-set for k1 >k. The maximum value of k is denoted by mt (n+1, s). The purpose of this paper is to find new upper bounds for some values of n, s and t. These bounds are of importance in the experimental design and information theory problems. © 1971 Institute of Statistical Mathematics.

Cochran’s Q test for differences between related-sample percentages or proportions has generally been incorrectly presented in secondary sources. The most common mistake results from failure to recognize that rows containing only 1’s or only 0’s, i.e., only successes or only failures, do not affect the value of Q. The F test, however, is affected by such rows. The probabilities from the χ2 and F approximations are compared with the exact probabilities in three sets of data. A rule of thumb, based on extensive study of the distribution of 0 in small samples, is given as an aid in judging when the χ2 approximation is satisfactory for practical purposes. © Taylor & Francis Group, LLC.

"E. J. Murphy, History of African Civilization. New York, Crowell, 1972, pp. 430, xxlv, maps, plates, $ 14.35" published on 01 Jan 1975 by Brill.

On the north side of Napatree Beach, short-term changes of the beach-face within the intertidal zone were studied to determine those processes most influential in causing change where nearshore processes are low in magnitude and beach changes are subtle. The data were subjected to multiple linear correlation and stepwise multiple-regression analyses. Tide level accounts for 41% of the explained variation for the relationship between the processes and beach height. Tide level is the only significant element effecting change in the beach profile. Wave height has no influence on changes in beach morphology. Significant results of beach energy associations have been obtained where low-amplitude nearshore processes are present even when beach changes are subtle. © 1975.

While land boundaries have occupied the attention of Israelis since 1948 and even earlier, they have been little concerned with the sea, and the legislation concerning their maritime boundaries is vague and incomplete. In addition, since the Six Day War Israel occupies territory with several different territorial seas, resulting in a quite complex ad hoc situation. The sea is becoming more important to Israel and she is gradually turning her attention more and more to maritime matters. It would be well if an orderly system of maritime boundaries and cooperation in utilizing the resources of the sea could be arranged with her neighbors, but that seems impossible for the forseeable future. It does seem likely, however, that in connection with or shortly after the forthcoming Law of the Sea Conference, Israel will as a minimum extend her territorial sea from six miles to twelve, while stoutly maintaining the right of free transit through international straits. © 1974 Taylor & Francis Group, LLC.

There existed clear demonstrations of nationalism in geography textbooks written by Americans during two significant epochs in the history of the United States. Geographies regarded the environment, people or institutions of the United States either with extreme adulation or subtle pride. They viewed the nation favorably when its strengths and weaknesses were compared to each other or to foreign elements, even when objective evidence did not support such an assessment. And, finally, they reached a host of young and impressionable Americans, and instilled in them a fervor for their country. © 1970 Taylor and Francis Group, LLC.

Beersheba has changed from a small agricultural settlement in pre-Biblical times to a city of importance in modern Israel. The wells and fertile loess soils of the Beersheba Basin have been utilized by all who have occupied the area. From 3300 B.C. to the present, Beersheba has functioned as an oasis, market town, military center, transportation node, and as a traditional gathering place for the Bedouin tribes of the Negev, Israel's southern desert. In 1900, the Ottoman Turks initiated the modern development of Beersheba. After World War I, the British administered the area as part of the Palestine Mandate. With the creation of the state of Israel in 1948, the city began to grow rapidly. In the early 1960′s, Beersheba had a population of over 52,000. It functions as the capital of a region containing over two-thirds of the national area. © 1965, Taylor & Francis Group. All rights reserved.

Both the curricula and methodology of preparing principals is the subject of this article. Describing procedures that work, it will interest principals as well as professors of school administration. © 1974, Sage Publications. All rights reserved.

The aptitudes and abilities required for the position of programmer, within the computer industry, have yet to be fully studied and their inter-relationships known. Although the industry is relatively new, a substantial amount of research in the areas of personnel selection, evaluation and job requirements has been undertaken. Yet these studies have confined themselves primarily to the use of interest scales, aptitude and achievement tests as overall predictors for on-the-job success rather than in the study of the cognitive factors pertinent to the tasks of which programming is composed. In a study by Deutsch and Shea, Inc. (1963), the relationship between the programmer and the computer is seen as analogous to that of the mahout and his elephant. As with the mahout, the programmer uses his intelligence, skills and abilities in the control and guidance of a powerful and flexible, yet non-intelligent, tool in the performance of specific finite operations which contribute to the completion of more complex tasks. It is the programmer who, when presented with a problem from science, engineering or business, must work out a solution. John and Miller (1957) state that all problems have two general parts: the specific components involved (i.e., data, etc.) and the relationships which are the orderings of or changes to the specific components.