201 research outputs found
Diophantine Equations Related to Linear Recurrence Sequences
No full textThe aim of this dissertation is to investigate the solutions of some Diophantine equations connected to linear recurrence sequences. We firstly study the integer solutions of Diophantine equations related to reciprocals and repdigits with linear recurrence sequences, respectively. Finally, we present techniques with which we can investigate the nontrivial integer solutions of equations of the form G(X,Y,Z):=AX^2+ BY^r+CZ^2 involving certain binary linear recurrence sequences.L
Over Her Dismembered Body: The Crime Fiction of Mo Hayder and Jo Nesbø
No full textImages of dismembered women can affect crime fiction readers in a number of ways: they may shock, enrage, disgust, or titillate them. In her novel Birdman, British author Mo Hayder presents a woman whose ‘scalp had been peeled from the skull … folded over so the hair and face hung like a wet rubber mask, inside out, covering the mouth and neck, pooling on the clavicle’ (2000: 24). In The Snowman, Norwegian author Jo Nesbø describes the body of a woman, so mutilated that it ‘was only thanks to a naked breast that they had been able to determine gender’ (2010: 54). Claims have been made that crime fiction is ramping up the violence towards female victims as a sales ploy (Hill 2009), yet I argue that in Nesbø and Hayder, the representation of violence is central to their attempt to examine critically society’s contempt for women and their bodies. In this chapter I demonstrate, through close readings of Mo Hayder’s Birdman and Jo Nesbø’s The Snowman, how these two authors not only resist the powerful trope of the eroticized female corpse, but also use images of violence and dismemberment to criticize the way society reduces women to their sexual and reproductive functions and destroys them when they are surplus to requirements.</p
Bolton tooth size ratio among qatari population sample: An odontometric study
No full textObjectives: To establish the overall and anterior Bolton ratio among a sample of Qatari population and to investigate whether there is a difference between males and females, as well as to compare the result obtained by Bolton.
Materials and Methods: The current study consisted of 100 orthodontic study participants (50 males and 50 females) with different malocclusions and age ranging between 15 and 20 years. An electronic digital caliper was used to measure the mesiodistal tooth width of all maxillary and mandibular permanent teeth except second and third molars. The Student′s t-test was used to compare tooth-size ratios between males and females and between the results of the present study and Bolton′s result.
Results: The anterior and overall ratio in Qatari individuals were 78.6 ± 3.4 and 91.8 ± 3.1, respectively. The tooth size ratios were slightly greater in males than that in females, however, the differences were not statistically significant (P > 0.05). There were no significant differences in the overall ratio between Qatari individuals and Bolton′s results (P > 0.05), whereas statistical significant differences were observed in anterior ratio (P = 0.007).
Conclusions: Within the limitation of the limitations of the present study, definite conclusion was difficult to establish. Thus, a further study with a large sample in each malocclusion group is required
The prevalence and distribution of hypodontia in a sample of Qatari patients
No full textObjective: The aims of this study were to determine the prevalence of hypodontia in the permanent dentition in a sample of Qatari patients attending a dental center and to compare the results with the reported findings of other populations.
Materials and Methods: Orthodontic files including orthopantomographs of 1000 patients (655 females and 345 males, 11-36-year-old) were examined and inspected for evidence of hypodontia.
Results: The prevalence of hypodontia in the present Qatari sample was 7.8%; 6.9% was in males and 8.2% in females. Hypodontia was found more frequently in the maxilla than in the mandible. The distribution of missing teeth was noticed in the left side more than the right side. The most frequently missing teeth were the maxillary lateral incisors followed by the mandibular second premolars, maxillary second premolars, and mandibular left lateral incisor. The majority of patients with hypodontia had one or two teeth missing, but rarely more than four teeth were missing in the same patient. Bilateral missing teeth in the current study was commonly seen in the maxillary lateral incisor (14.1%) followed by mandibular second premolar (12.8%) and maxillary second premolar (6.4%).
Conclusions: The prevalence of hypodontia in a sample of Qatari individuals was within the range reported in the literature for other populations. The incidence of hypodontia in the anterior segment requires multidisciplinary team approach (orthodontic and prosthodontic) to restore the esthetic and function and improve patient self-esteem
Solutions of the Markoff equation in Tribonacci numbers
No full textIn this paper, we determine all of the positive integer solutions of the so-called Markoff equation x2 + y2 + z2 = 3xyz in the sequence of Tribonacci numbers {Tn}, i.e. (x, y, z) = (Ti, Tj, Tk) such that i, j, k ≥ 2
Solutions of the Diophantine Equation from Recurrence Sequences
No full textsummary:Consider the system , , where is a given integer polynomial. Historically, the integer solutions of such systems have been investigated by many authors using the congruence arguments and the quadratic reciprocity. In this paper, we use Kedlaya's procedure and the techniques of using congruence arguments with the quadratic reciprocity to investigate the solutions of the Diophantine equation if (or ) where and represent the sequences of Fibonacci numbers and Lucas numbers respectively
Bartz-Marlewski equation with generalized Lucas components
No full textsummary:Let and be the Lucas sequences of the first and second kind respectively at the parameters and . In this paper, we provide a technique for characterizing the solutions of the so-called Bartz-Marlewski equation where or with , . Then, the procedure of this technique is applied to completely resolve this equation with certain values of such parameters
Characteristic 0 Resolution of the Weyl Module in the Event of Partitioning (4, 4, 3)
No full textLet R be a commutative ring with 1, Ӻ be a free R-module and Ḍ_į be "the divided power algebra" of degree į. Ṃ is a left-graded module with for Ѡ = Ƶ_21^ҝ⋵ Å and Ѵ ⋵〖 Ḍ〗_(ᴯ_1 )⊗ Ḍ_(ᴯ_2 ) .Consequently, we have Ѡ(Ѵ)= Ƶ_(21 )^ҝ (Ѵ)=〖 ∂〗_(21 )^ҝ (Ѵ). where the separator ẋ vanishes between Ƶ_ḁᵬ^((ț))and ∂_ḁᵬ^((ț)). We depend on the definition of the mapping Cone and applying that for the partition (4, 4, 3) to find the resolution of the Weyl module for characteristic 0 "in the situation of partition (4, 4, 3) without depends on the resolution of the Weyl module for characteristic free". Also by using Capelli identities we prove the sequences and the subsequences of the terms of characteristic zero satisfy the mapping Cone. Finally by the commutative of each diagram in these sequences and subsequences we get the reduction of the terms of the resolution of the Weyl module for characteristic free to the terms of the resolution of the Weyl module for characteristic 0
A New Modification of RSA Cryptosystem Based on The Number of The Private Keys
No full textThe need of the privacy for each person has encouraged cryptologists to create and modified cryptosystems. However, the RSA cryptosystem is a secure public key cryptosystem, this paper focuses on modifying RSA cryptosystem by increasing the number of private keys. This modification can be applied over plaintext messages, plain matrices, however in this paper, I focuse on applying it particulary on matrices which are the corresponding matrices of images. A public key and private key are contained in this secure cryptosystem, and the security of its private key depends on the integer factorization problem. But, this only private key might be found by inspection. Therefore, this new modification gives the RSA cryptosystem a higher security, because it suggests a "k" number of distinct private keys. Therefore, this new modification makes the RSA cryptosystem more secure and a confidential public key cryptosystem
- …
