• 제목/요약/키워드: uniqueness

검색결과 1,386건 처리시간 0.025초

EXISTENCE, UNIQUENESS AND STABILITY OF IMPULSIVE STOCHASTIC PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS

  • Anguraj, A.;Vinodkumar, A.
    • Journal of applied mathematics & informatics
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    • 제28권3_4호
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    • pp.739-751
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    • 2010
  • This article presents the result on existence, uniqueness and stability of mild solution of impulsive stochastic partial neutral functional differential equations under sufficient condition. The results are obtained by using the method of successive approximation.

Existence and Uniqueness Theorems for Certain Fourth-order Boundary Value Problems

  • Minghe, Pei;Chang, Sung Kag
    • Kyungpook Mathematical Journal
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    • 제45권3호
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    • pp.349-356
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    • 2005
  • In this paper, by using the Leray-Schauder continuation theorem and Wirtinger-type inequalities, we establish the existence and uniqueness theorems for two-point boundary value problems of a certain class of fourth-order nonlinear differential equations.

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SECOND MAIN THEOREM WITH WEIGHTED COUNTING FUNCTIONS AND UNIQUENESS THEOREM

  • Yang, Liu
    • 대한수학회보
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    • 제59권5호
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    • pp.1105-1117
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    • 2022
  • In this paper, we obtain a second main theorem for holomorphic curves and moving hyperplanes of Pn(C) where the counting functions are truncated multiplicity and have different weights. As its application, we prove a uniqueness theorem for holomorphic curves of finite growth index sharing moving hyperplanes with different multiple values.

A GENERAL UNIQUENESS RESULT OF AN ENDEMIC STATE FOR AN EPIDEMIC MODEL WITH EXTERNAL FORCE OF INFECTION

  • Cha, Young-Joon
    • 대한수학회논문집
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    • 제22권4호
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    • pp.597-608
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    • 2007
  • We present a general uniqueness result of an endemic state for an S-I-R model with external force of infection. We reduce the problem of finding non-trivial steady state solutions to that of finding zeros of a real function of one variable so that we can easily prove the uniqueness of an endemic state. We introduce an assumption which was usually used to show stability of a non-trivial steady state. It turns out that such an assumption adopted from a stability analysis is crucial for proving the uniqueness as well, and the assumption holds for almost all cases in our model.

위상만을 이용한 신호복원의 유일성 판단법 (Uniqueness Criteria for Signal Reconstruction from Phase-Only Data)

  • 이동욱;김영태
    • 대한전기학회논문지:시스템및제어부문D
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    • 제50권2호
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    • pp.59-64
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    • 2001
  • In this paper, we propose an alternate method for determining the uniqueness of the reconstruction of a complex sequence from its phase. Uniqueness constraints could be derived in terms of the zeros of a complex polynomial defined by the DFT of the sequence. However, rooting of complex polynomials of high order is a very difficult problem. Instead of finding zeros of a complex polynomial, the proposed uniqueness criteria show that non-singularity of a matrix can guarantee the uniqueness of the reconstruction of a complex sequence from its phase-only data. It has clear advantage over the rooting method in numerical stability and computational time.

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Design and implementation of an improved MA-APUF with higher uniqueness and security

  • Li, Bing;Chen, Shuai;Dan, Fukui
    • ETRI Journal
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    • 제42권2호
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    • pp.205-216
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    • 2020
  • An arbiter physical unclonable function (APUF) has exponential challenge-response pairs and is easy to implement on field-programmable gate arrays (FPGAs). However, modeling attacks based on machine learning have become a serious threat to APUFs. Although the modeling-attack resistance of an MA-APUF has been improved considerably by architecture modifications, the response generation method of an MA-APUF results in low uniqueness. In this study, we demonstrate three design problems regarding the low uniqueness that APUF-based strong PUFs may exhibit, and we present several foundational principles to improve the uniqueness of APUF-based strong PUFs. In particular, an improved MA-APUF design is implemented in an FPGA and evaluated using a well-established experimental setup. Two types of evaluation metrics are used for evaluation and comparison. Furthermore, evolution strategies, logistic regression, and K-junta functions are used to evaluate the security of our design. The experiment results reveal that the uniqueness of our improved MA-APUF is 81.29% (compared with that of the MA-APUF, 13.12%), and the prediction rate is approximately 56% (compared with that of the MA-APUF (60%-80%).

소비자의 독특함에 대한 욕구가 제품의 경험적 및 탐색적 특징에 대한 태도 형성에 미치는 영향에 관한 연구 (The Effect of Consumers' Need for Uniqueness (CNFU) on Attitude Formation toward Experience versus Search Attributes of Products)

  • 최민경
    • 한국콘텐츠학회논문지
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    • 제17권8호
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    • pp.422-434
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    • 2017
  • 타인의 선호에 대한 정보가 개인의 태도 형성에 미치는 영향은, 소비자의 독특함에 대한 욕구와 제품 특징에 따라 달라질 수 있다. 독특함에 대한 욕구가 강한 사람의 경우, 경험적 특징에 대한 타인의 선호에 대한 정보를 접하면 정체성의 독특함과 관련된 측면이 환기되면서, 타인에게 동조하는 것이 독특함 관련 자존감을 위협한다는 우려 때문에 타인의 선호와 매우 다르게 태도를 형성한다. 탐색적 특징은 독특함 관련 측면을 환기시키지 않기 때문에, 이들은 타인의 선호와 관계없이 태도를 형성한다. 반면, 독특함에 대한 욕구가 낮은 소비자는 타인의 선호에 대한 정보가 정체성의 독특함 관련 측면을 환기시키지 않기 때문에, 제품 특징에 관계없이 타인의 선호에 동조하는 경향을 보였다. 본 연구는 경험적, 탐색적 특징을 구분하는 기준으로서 개인의 정체성을 표시하는지의 여부를 제안하였고, 독특함 욕구가 강한 소비자를 대상으로는 대중적이지 않은 제품 특징을 개발하는 것이 효과적일 수 있다는 실무적 시사점을 제공한다.

ON THE UNIQUENESS OF ENTIRE FUNCTIONS

  • Qiu, Huiling;Fang, Mingliang
    • 대한수학회보
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    • 제41권1호
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    • pp.109-116
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    • 2004
  • In this paper, we study the uniqueness of entire functions and prove the following result: Let f(z) and g(z) be two nonconstant entire functions, $n\;{\geq}\;7$ a positive integer, and let a be a nonzero finite complex number. If $f^{n}(z)(f(z)\;-\;1)f'(z)\;and\;g^{n}(z)(g(z)\;-\;1)g'(z)$ share a CM, then $f(z)\;{\equiv}\;g(z)$. The result improves the theorem due to ref. [3].