• Bulletin of the Korean Mathematical Society
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• v.45 no.3
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• pp.457-466
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• 2008

Let R be a right near-ring. An R-group of type-5/2 which is a natural generalization of an irreducible (ring) module is introduced in near-rings. An R-group of type-5/2 is an R-group of type-2 and an R-group of type-3 is an R-group of type-5/2. Using it $J_{5/2}$, the Jacobson radical of type-5/2, is introduced in near-rings and it is observed that $J_2(R){\subseteq}J_{5/2}(R){\subseteq}J_3(R)$. It is shown that $J_{5/2}$ is an ideal-hereditary Kurosh-Amitsur radical (KA-radical) in the class of all zero-symmetric near-rings. But $J_{5/2}$ is not a KA-radical in the class of all near-rings. By introducing an R-group of type-(5/2)(0) it is shown that $J_{(5/2)(0)}$, the corresponding Jacobson radical of type-(5/2)(0), is a KA-radical in the class of all near-rings which extends the radical $J_{5/2}$ of zero-symmetric near-rings to the class of all near-rings.

• Bulletin of the Korean Mathematical Society
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• v.59 no.1
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• pp.141-154
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• 2022

Let R be a commutative ring with identity. Denote by w𝒫_w the class of weak w-projective R-modules and by w𝒫_w^⊥ the right orthogonal complement of w𝒫_w. It is shown that (w𝒫_w, w𝒫_w^⊥) is a hereditary and complete cotorsion theory, and so every R-module has a special weak w-projective precover. We also give some necessary and sufficient conditions for weak w-projective modules to be w-projective. Finally it is shown that when we discuss the existence of a weak w-projective cover of a module, it is enough to consider the w-envelope of the module.

• Kyungpook Mathematical Journal
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• v.56 no.4
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• pp.1047-1067
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• 2016

In this paper, a new class of diagram algebras which are subalgebras of signed brauer algebras, called the Walled Signed Brauer algebras denoted by ${\overrightarrow{D}}_{r,s}(x)$, where $r,s{\in}{\mathbb{N}}$ and x is an indeterminate are introduced. A presentation of walled signed Brauer algebras in terms of generators and relations is given. The cellularity of a walled signed Brauer algebra is established. Finally, ${\overrightarrow{D}}_{r,s}(x)$, is quasi- hereditary if either the characteristic of a field, say p, p = 0 or p > max(r, s) and either $x {\neq}0$ or x = 0 and $r{\neq}s$.

• Computational Structural Engineering
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• v.9 no.1
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• pp.101-113
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• 1996

In this paper, the finite element formulation for the thermal analysis of quasi-static, uncoupled, homogeneous, isotropic and linear viscoelastic problems is presented based on the principle of virtual work. The viscoelastic material is assumed to be thermorheologically simple, which is well known material property in a large class of high polymers. The variational formulation and the finite element equation in matrix from are derived. Effective generation and storage of the hereditary stiffness matrices are given in detail especially for the case of the steady state temperature distribution T=T(x). Some numerical examples are given and compared with published results to show the versatility of the derived finite element formulations.

• Bulletin of the Korean Mathematical Society
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• v.30 no.1
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• pp.35-51
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• 1993

This paper concerns collocation methods for integro-differential equations in which memory kernels have a singularity at t = 0. There has been extensive research in recent years on Volterra integral and integro-differential equations for physical systems with memory effects in which the stabilty and asymtotic stability of solutionsl have been the main interest. We will study a class of hereditary equations with singular kernels which interpolate between well known model equations as the order of singularity varies. We are also concerned with the smoothing effect of singular kernels, but we use energy methods and our results involve fractional time in fixed spatial norms. Galerkin methods for our models was studied and existence, uniqueness and stability results was obtained in [4]. Our major goal is to study collocation methods.

• International Journal of Computer Science & Network Security
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• v.22 no.10
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• pp.171-176
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• 2022

A dramatic rise in the number of people dying from heart disease has prompted efforts to find a way to identify it sooner using efficient approaches. A variety of variables contribute to the condition and even hereditary factors. The current estimate approaches use an automated diagnostic system that fails to attain a high level of accuracy because it includes irrelevant dataset information. This paper presents an effective neural network with convolutional layers for classifying clinical data that is highly class-imbalanced. Traditional approaches rely on massive amounts of data rather than precise predictions. Data must be picked carefully in order to achieve an earlier prediction process. It's a setback for analysis if the data obtained is just partially complete. However, feature extraction is a major challenge in classification and prediction since increased data increases the training time of traditional machine learning classifiers. The work integrates the CNN-MDRP classifier (convolutional neural network (CNN)-based efficient multimodal disease risk prediction with TANFIS (tuned adaptive neuro-fuzzy inference system) for earlier accurate prediction. Perform data cleaning by transforming partial data to informative data from the dataset in this project. The recommended TANFIS tuning parameters are then improved using a Laplace Gaussian mutation-based grasshopper and moth flame optimization approach (LGM²G). The proposed approach yields a prediction accuracy of 98.40 percent when compared to current algorithms.

• Bulletin of the Korean Mathematical Society
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• v.61 no.1
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• pp.161-193
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• 2024

In this paper, we consider the asymptotic behavior of solutions for the partly dissipative reaction diffusion systems of the FitzHugh-Nagumo type with hereditary memory and a very large class of nonlinearities, which have no restriction on the upper growth of the nonlinearity. We first prove the existence and uniqueness of weak solutions to the initial boundary value problem for the above-mentioned model. Next, we investigate the existence of a uniform attractor of this problem, where the time-dependent forcing term h ∈ L²_b(ℝ; H^-1(ℝ^N)) is the only translation bounded instead of translation compact. Finally, we prove the regularity of the uniform attractor A, i.e., A is a bounded subset of H²(ℝ^N) × H¹(ℝ^N) × L²_µ(ℝ⁺, H²(ℝ^N)). The results in this paper will extend and improve some previously obtained results, which have not been studied before in the case of non-autonomous, exponential growth nonlinearity and contain memory kernels.

• Maxillofacial Plastic and Reconstructive Surgery
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• v.29 no.1
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• pp.91-96
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• 2007

Amelogenesis imperfecta (AI) is a hereditary disease that affects enamel formation. The patients with AI have esthetic and functional problems due to damage of multiple teeth. So most AI patients resolve these problem through the conservative and prosthodontic treatments. In our case, It was difficult to obtain good results in means of conservative and prosthodontic treatments, because the AI patient had skeletal Class III malocclusion. Moreover, because of vertical dimension loss due to severe dental caries and maxillofacial skeletal disharmony, the ordinary prosthodontic treatment was troublesome. So we planned orthognathic surgery to resolve these problems. After the endodontic treatment, temporary restoration was delivered for stable post-operative occlusion. Then orthognathic surgery was done, and final restoration was delivered in stable period. We obtained satisfactory results in esthetic and functional aspects through multidisciplinary management(conservative treatment, prosthodontics and orthognathic surgery).

• Tuberculosis and Respiratory Diseases
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• v.44 no.4
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• pp.914-921
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• 1997

Hereditary hemorrhagic telangiectasia(Osler-Rendu-Weber Syndrome) is characterized by telangiectasia of the skin and mucous membranes and intermittent bleeding from vascular abnormalities. About 20% of patients with this syndrome have pulmonary arteriovenous fistulas. Pulmonary arteriovenous fistula is uncommon malformation which has an abnormal connection between the pulmonary capillary bed, in which venous blood in the pulmonary artery is shunted through the fistula into the pulmonary vein without exposure to alveolar oxygen and result in unoxygenated, desaturated systemic arterial blood, polycythemia, cyanosis and clubbing. Death often results from cerebral abscess and rupture of the malformation with massive hemorrhage. Therapeutic intervention is recommended for all symptomatic patients because of the risk of those serious complications. Treatment options include surgery and transcatheter obliteration with steel coils or detachable balloons. Therapeutic embolization has the advantages that multiple bilateral pulmonary arteriovenous fistulas can be occluded and also that the procedure can be repeated if necessary. Recently we experienced a case of the multiple bilateral pulmonary arteriovenous fistulas associated with telangiectatic change of hepatic artery and multiple angiodysplasia on the gastric mucosa in 41 years old female patient who had mild dyspnea of exertion(NYHA class II). clubbing finger, severe iron deficiency anemia. She was treated with embolization technique using steel coils and iron replacement. After the therapeutic embolization. significant improvement of dyspnea of exertion with disappearance of multiple pulmonary nodule on follow-up simple chest x-ray was noted. During the subsequent six months follow-up period, she had the improvement of symptoms and iron deficiency anemia.

• The Journal of Korean Medicine
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• v.17 no.1 s.31
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• pp.190-211
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• 1996

Generally the Myasthenia Gravis is classified into two of hereditary factor and acquement. Aquired Myasthenia Gravis was Quite well known to be caused by the autoimmune mechanism. Not in accurateness, on the hereditary, acetylcholine receptor antibody was to be analyzed very high in their parents and brothers. Also Myasthenia Gravis is a chronic disease characterized by voluntary muscle weakness and fatigue. above all, ocular Myasthenia Gravis is characterized clinically by blepharoptosis and external ophthalmoplegia and to be showed abut 90% cases and so oriental medicine can not but deal with myasthenia gravis at blepharoptosis. Accordinglv 20 out patients with Myasthenia Gravis were clinical study and observation as to the sex, age, progress state of MG, blood type, history, main symptom, liking for warm and cool food and tepidity, state of pulse, treatment of acupuncture and administration of oriental medicine etc. The results were as follows. 1. There was investigaed on the frequency of attack for sex, age, oculus dexter, oculus sinister, oculus uterque. Among the 20 patients, the number of female were 60% with 12 cases and male were 40% with 8 cases, therefore it was the rate of 6 : 4. the patients under 10 ages and 40 ages were 20% with 4 cases, 10 ages and 50 ages were 15% with 3 cases, 20, 30, 60 ages were 10% with 2 cases. And then oculus uterque was 90% with 18 cases, oculus sinister was 10% with 2 cases and oculus dexter were none of them. 2. Stage I were 50% with 10 patients, stage $II_A$ were 30% with 6 patients and stage $II_B$ were 20% with 4 patients, on the clinical stage and too class I were 20% with 4, class II were 45% with 9, class III were 35% with 7, in the functional activity the patients with chest heavy were 15% with 3 and hyperthyroidism were 10% with 2. 3. Hospital which patients had used to before came to this hospital were 10 university hospital and 6 local clinic. 4. The duration of disease was from 3 months to 30 years, the patients suffering between 3 months and within 1 year were 25% with 5 cases, 1-2 years were 30% with 6 cases, therefore within 2 years were 55%. 4-5 years were 15%, over 7 years were appeared less than 10%. 5. In the main symptom, all of patients were appeared to be heavy in opening their eyes the patients with blephroptosis were 70% with 14 cases on the oculus uterque, oculus sinisterf and oculus dexter, there were 20% with 4 eases each other in the oculogyation incomplete. visual failing, ophthalmoxerosis, strabismus etc and indigetion, frequency of urine(feel hurt), mild stools(or diarrea), oversensitiveness etc. but in addition, all of the other were 10%. 6. In the distribution of blood type, 0 types were 45% with 9 cases, A types were 25% with 5 cases, B and AB types were 15% each other. 7. For the rates of patients of liking for warm and cool food or tepidity, patients of liking for warm food possess 45% with 9 cases, and cool food possess 35% with 7 and tepidity possess 20% with 4, and then most of patients liking for warm food were females and cool food were much more males than females. 8. Hyunsae(弦細) were 40% with 8 cases, Buhurl(浮滑) were 20% with 4 cases, Hyunsak(弦數) were 15% with 3 cases, and in addition, the others were 10%, among 7 types of pulses. 9. The patients with less than 1 week were 40% with 8 cases, and there were female most of them and over 4 weeks were 20% and 1-2weeks were 15%, in the duration acupuncture treatment. 10. 15 kinds of prescriptions were administrated with oriental medicine from 1 week to 20weeks 1_2 weeks were 25.71% with 9 cases, 3 weeks were 17.14% with 6 cases and 6 weeks were 11.42% with 4 cases and also Gamibaetaugunbitang(加味培土健脾湯) were 28.57% with 10 cases, Gamijeounyongtang(加味正容湯) were 14.28% with 5 cases, Gamibojoongyigitung (加味補中益氣湯), Gamiyinsamyangyoungtung (加味人蔘養榮湯) were 8.57% with 3 cases each other and also Gamisamgitung (加味蔘?湯), Gamisamuloajatung(加味四物五子湯) Gamigoudungum (加味鉤藤飮), etc were applied.