• 제목/요약/키워드: the point-wise convergence

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A FUNDAMENTAL THEOREM OF CALCULUS FOR THE Mα-INTEGRAL

  • Racca, Abraham Perral
    • 대한수학회논문집
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    • 제37권2호
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    • pp.415-421
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    • 2022
  • This paper presents a fundamental theorem of calculus, an integration by parts formula and a version of equiintegrability convergence theorem for the Mα-integral using the Mα-strong Lusin condition. In the convergence theorem, to be able to relax the condition of being point-wise convergent everywhere to point-wise convergent almost everywhere, the uniform Mα-strong Lusin condition was imposed.

APPROXIMATION OF NEAREST COMMON FIXED POINTS OF ASYMPTOTICALLY I-NONEXPANSIVE MAPPINGS IN BANACH SPACES

  • Cho, Yeol-Je;Hussain, Nawab;Pathak, Hemant Kumar
    • 대한수학회논문집
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    • 제26권3호
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    • pp.483-498
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    • 2011
  • In this paper, we introduce a new class of uniformly point-wise R-subweakly commuting self-mappings and prove several common fixed point theorems and best approximation results for uniformly point-wise R-subweakly commuting asymptotically I-nonexpansive mappings in normed linear spaces. We also establish some results concerning strong convergence of nearest common fixed points of asymptotically I-non-expansive mappings in reflexive Banach spaces with a uniformly G$\^{a}$teaux differentiable norm. Our results unify and generalize various known results given by some authors to a more general class of noncommuting mappings.

효율적인 객체 검출을 위해 Attention Process를 적용한 경량화 모델에 대한 연구 (A Study on Lightweight Model with Attention Process for Efficient Object Detection)

  • 박찬수;이상훈;한현호
    • 디지털융복합연구
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    • 제19권5호
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    • pp.307-313
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    • 2021
  • 본 논문에서는 기존 객체 검출 방법 대비 매개변수를 감소시킨 경량화 네트워크를 제안하였다. 현재 사용되는 검출 모델의 경우 정확도 향상을 위해 네트워크 복잡도를 크게 늘렸다. 따라서, 제안하는 네트워크는 EfficientNet을 특징 추출 네트워크로 사용하였으며, 후속 레이어는 저수준 세부 특징과 고수준의 의미론적 특징을 활용하기 위해 피라미드 구조로 형성하였다. 피라미드 구조 사이에 attention process를 적용하여 예측에 불필요한 노이즈를 억제하였다. 네트워크의 모든 연산 과정은 depth-wise 및 point-wise 컨볼루션으로 대체하여 연산량을 최소화하였다. 제안하는 네트워크는 PASCAL VOC 데이터셋으로 학습 및 평가하였다. 실험을 통해 융합된 특징은 정제 과정을 거쳐 다양한 객체에 대해 견고한 특성을 보였다. CNN 기반 검출 모델과 비교하였을 때 적은 연산량으로 검출 정확도가 향상되었다. 향후 연구로 객체의 크기에 맞게 앵커의 비율을 조절할 필요성이 사료된다.

A Case Study on Students' Concept Images of the Uniform Convergence of Sequences of Continuous Functions

  • Jeong, Moonja;Kim, Seong-A
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제17권2호
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    • pp.133-152
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    • 2013
  • In this research, we investigated students' understanding of the definitions of sequence of continuous functions and its uniform convergence. We selected three female and three male students out of the senior class of a university and conducted questionnaire surveys 4 times. We examined students' concept images of sequence of continuous functions and its uniform convergence and also how they approach to the right concept definitions for those through several progressive questions. Furthermore, we presented some suggestions for effective teaching-learning for the sequences of continuous functions.

Pultrusion 복합 샌드위치 패널의 신뢰성 평가 (Reliability Evaluation on Pultrusion Composite Sandwich Panel)

  • 이학성;김은성;오제하;김동기;이주영;강신재
    • 한국생산제조학회지
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    • 제22권3호
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    • pp.414-420
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    • 2013
  • Research on decreasing the weight of composite sandwich panels is in progress. This paper reports the experimental results for the mechanical behavior of a composite sandwich panel. The skins of sandwich panels were made of glass fiber sheets and plywood matrix composites. Their interior layers consisted of glass fiber pultrusion pipes and gold foam. Experimental tests were performed to obtain the mechanical properties and complex mechanical behavior. Before fatigue tests, tensile tests and 3-point bending tests were carried out to obtain the optimal design and determine their strength and failure mechanisms in the flat-wise position. After the static test, a fatigue test were conducted at a load frequency of 5 Hz, stress ratio (R) of 0.1, and endurance limit for the S-N curve. It showed that the failure modes were related to both the core design and skin failure.