Search results for: Nazlı Yıldız İkikardeş
8 The Number of Rational Points on Elliptic Curves y2 = x3 + a3 on Finite Fields
Authors: Musa Demirci, Nazlı Yıldız İkikardeş, Gökhan Soydan, İsmail Naci Cangül
Abstract:
In this work, we consider the rational points on elliptic curves over finite fields Fp. We give results concerning the number of points Np,a on the elliptic curve y2 ≡ x3 +a3(mod p) according to whether a and x are quadratic residues or non-residues. We use two lemmas to prove the main results first of which gives the list of primes for which -1 is a quadratic residue, and the second is a result from [1]. We get the results in the case where p is a prime congruent to 5 modulo 6, while when p is a prime congruent to 1 modulo 6, there seems to be no regularity for Np,a.Keywords: Elliptic curves over finite fields, rational points, quadratic residue.
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 24027 Classification of the Bachet Elliptic Curves y2 = x3 + a3 in Fp, where p ≡ 1 (mod 6) is Prime
Authors: Nazli Yildiz İkikardes, Gokhan Soydan, Musa Demirci, Ismail Naci Cangul
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In this work, we first give in what fields Fp, the cubic root of unity lies in F*p, in Qp and in K*p where Qp and K*p denote the sets of quadratic and non-zero cubic residues modulo p. Then we use these to obtain some results on the classification of the Bachet elliptic curves y2 ≡ x3 +a3 modulo p, for p ≡ 1 (mod 6) is prime.Keywords: Elliptic curves over finite fields, quadratic residue, cubic residue.
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 18546 Rational Points on Elliptic Curves 2 3 3y = x + a inF , where p 5(mod 6) is Prime
Authors: Gokhan Soydan, Musa Demirci, Nazli Yildiz Ikikardes, Ismail Naci Cangul
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In this work, we consider the rational points on elliptic curves over finite fields Fp where p ≡ 5 (mod 6). We obtain results on the number of points on an elliptic curve y2 ≡ x3 + a3(mod p), where p ≡ 5 (mod 6) is prime. We give some results concerning the sum of the abscissae of these points. A similar case where p ≡ 1 (mod 6) is considered in [5]. The main difference between two cases is that when p ≡ 5 (mod 6), all elements of Fp are cubic residues.
Keywords: Elliptic curves over finite fields, rational points.
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 22495 Examination of Self-Efficacy and Life Satisfaction Levels of Students Receiving Education in Schools of Physical Education and Sports
Authors: Hasan Şahan, Murat Tekin, Mustafa Yıldız, Meriç Eraslan, Mevlüt Yıldız, Hatice Sim, Demet Neriman Yarar
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The purpose of this study is to examine the selfefficacy and life satisfaction levels of students receiving education in schools of physical education and sports. The population of the study consisted 263 students, among which 154 were male and 109 were female ( X age=19,4905 + 2,5605), that received education in the schools of physical education and sports of Selcuk University, Inonu University, Gazi University and Karamanoglu Mehmetbey University. In order to achieve the purpose of the study, the selfefficacy scale, which was developed by Jarrusselam and Shwarzer (1981) [1] and adapted to Turkish by Yesillay (1993) [2], and the life satisfaction scale, developed by Diener, Emmos, Larsen and Griffin (1985) [3] and adapted to Turkish by Kokler (1991) [4], were utilized.For analyzing and interpreting data Kolmogorov-Smirnov test, t-test and one way anova test were used, while for determining the difference between the groups Tukey test and Multiple Linear Regression test were employed and significance was accepted at P<0,05. SPSS (Statistical package for social sciences) package software was used for evaluating the data and finding out the calculated values.In conclusion of this study, it was determined that female students have higher life satisfaction levels than male students, while students attending to the second grade had higher life satisfaction levels than fourth grade students. On the other hand, general self-efficacy levels of male students were found out to be higher than that of female students. It was also determined that students attending to the fourth grade had higher general self-efficacy levels than those receiving education in the first grade. Availability of a significant relation was determined between life satisfaction levels and self-efficacy levels.Keywords: Physical Education And Sports, Student, Life Satisfaction, Self-Efficacy
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 29944 Legal Arrangement on Media Ownership and the Case of Turkey
Authors: Sevil Yıldız
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In this study, we will touch upon the legal arrangements issued in Turkey for prevention of condensation and for ensuring pluralism in the media. We will mention the legal arrangements concerning the regulatory and supervisory authority, namely the Radio and Television Supreme Council, for the visual and auditory media. In this context; the legal arrangements, which have been introduced by the Law No 6112 on the Establishment of Radio and Television Enterprises and Their Media Services in relation to the media ownership, will be reviewed through comparison with the Article 29 of the repealed Law No 3984.
Keywords: Media ownership, legal arrangements, the case for Turkey.
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 16183 Nano Composite of Clay and Modified Ketonic Resin as Fire Retardant Polyol for Polyurethane
Authors: D. Önen, N. Kızılcan, B. Yıldız, A. Akar
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In situ modified cyclohexanone-formaldehyde resins were prepared by addition of alendronic acid during resin preparation. Clay nanocomposites in ketonic resins were achieved by adding clay into the flask at the beginning of the resin preparation. The prepared resins were used for the synthesis of fire resistant polyurethanes foam. Both phosphorous containing modifier compound alendronic acid and nanoclay increases fire resistance of the cyclohexanone-formaldehyde resin thus polyurethane produced from these resins. The effect of the concentrations of alendronic acid and clay on the fire resistance and physical properties of polyurethanes was studied.
Keywords: Alendronic acid, clay, ketonic resin, polyurethane.
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 29472 Assessing Reading Habits of Future Classroom Teachers in the Context of Their Socio-Demographic Features
Authors: E. Oguz, Yıldız, A., Hayırsever, F.
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The purpose of the present study is to determine the level of reading habit of future classroom teachers, to discuss the obtained results according to their socio-demographic features and to define the factors which are influential on taking up reading in the context of future teachers experiences. The target population of the study consists of the fourth grade students at 62 faculties of education, department of classroom teaching from Turkish state universities. The sampling of the study consists of the fourth grade students from seven faculties of education, department of classroom teaching from each region. In the study, in the first and the second aspects, there will be a questionnaire to be developed concerning the measurement of future teachers level of reading habits and their socio-demographic features. The questionnaire was applied to all the students in the sample.
Keywords: Reading, Reading Habits, Teachers
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 20491 The Effect of the Side-Weir Crest Height to Scour in Clay-Sand Mixed Sediments
Authors: F. Ayça Varol Saraçoğlu, Hayrullah Ağaçcıoğlu
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Experimental studies to investigate the depth of the scour conducted at a side-weir intersection located at the 1800 curved flume which located Hydraulic Laboratory of Yıldız Technical University, Istanbul, Turkey. Side weirs were located at the middle of the straight part of the main channel. Three different lengths (25, 40 and 50 cm) and three different weir crest height (7, 10 and 12 cm) of the side weir placed on the side weir station. There is no scour when the material is only kaolin. Therefore, the cohesive bed was prepared by properly mixing clay material (kaolin) with 31% sand in all experiments. Following 24h consolidation time, in order to observe the effect of flow intensity on the scour depth, experiments were carried out for five different upstream Froude numbers in the range of 0.33-0.81. As a result of this study the relation between scour depth and upstream flow intensity as a function of time have been established. The longitudinal velocities decreased along the side weir; towards the downstream due to overflow over the side-weirs. At the beginning, the scour depth increases rapidly with time and then asymptotically approached constant values in all experiments for all side weir dimensions as in non-cohesive sediment. Thus, the scour depth reached equilibrium conditions. Time to equilibrium depends on the approach flow intensity and the dimensions of side weirs. For different heights of the weir crest, dimensionless scour depths increased with increasing upstream Froude number. Equilibrium scour depths which formed 7 cm side-weir crest height were obtained higher than that of the 12 cm side-weir crest height. This means when side-weir crest height increased equilibrium scour depths decreased. Although the upstream side of the scour hole is almost vertical, the downstream side of the hole is inclined.Keywords: Clay-sand mixed sediments, scour, side weir.
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2132