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Search Results: 1 - 10 of 1752 matches for " Engelbert Theorem "
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Equivalence of Uniqueness in Law and Joint Uniqueness in Law for SDEs Driven by Poisson Processes  [PDF]
Huiyan Zhao, Chunhua Hu, Siyan Xu
Applied Mathematics (AM) , 2016, DOI: 10.4236/am.2016.78070
Abstract: We give an extension result of Watanabe’s characterization for 2-dimensional Poisson processes. By using this result, the equivalence of uniqueness in law and joint uniqueness in law is proved for one-dimensional stochastic differential equations driven by Poisson processes. After that, we give a simplified Engelbert theorem for the stochastic differential equations of this type.
Schamachi/ amax in 1683/1684 – Engelbert Kaempfer’s Intercultural Contacts
Lothar Weiss
Khazar Journal of Humanities and Social Sciences , 2011,
Abstract: The traveller Engelbert Kaempfer, a Christian German in Swedish diplomatic service, here in Schamachi, comes into real contact with a Muslim culture for the first time. As an academically educated physician he makes profitable use of his profession, as with Nawi Jusbascy, probably a born Azerbaijani, Mohammed Hossein and probably Martiros, perhaps Hafi Saburjan, too. As a Christian living in Schamachi within the Armenian quarter he meets other Christians, the Priest Arakhel, the already mentioned Martiros and maybe Hafi Saburjan. Besides the Armenian priest Arakhel he meets a cleric of another religion, Maheb Aali, the Muslim Molla, probably a born Azerbaijani and having lived there in Schamachi. As a diplomat he makes good contacts with diplomats of other nations, like Mohammed Hossein, a Persian and envoy to Poland, and esspecially with his friend Christophorov, the Greek in Russian service. And there are contacts with a military background, too, with the already-mentioned captain Nawi, and with . if correctly identified . the ghulam Ali Kuli Chan, possibly a born Georgian and all his life in Persian service, as commander-in-chief under two Shahs, one of the most powerful men in Persia and now, 1684, governor of the province of Shirvan.On the one hand all these Schamachi contacts were surely a good start for Kaempfer.s later cultural experiences and his attempts to understand foreign cultures, such as India, Siam and Japan. On the other hand this shows above else that, during those days, Schamachi was a meeting point between great empires and an important place of intercultural contacts at the European-Asian border.
On a Simpler, Much More General and Truly Marvellous Proof of Fermat’s Last Theorem (I)  [PDF]
Golden Gadzirayi Nyambuya
Advances in Pure Mathematics (APM) , 2016, DOI: 10.4236/apm.2016.61001
Abstract: English mathematics Professor, Sir Andrew John Wiles of the University of Cambridge finally and conclusively proved in 1995 Fermat’s Last Theorem which had for 358 years notoriously resisted all gallant and spirited efforts to prove it even by three of the greatest mathematicians of all time—such as Euler, Laplace and Gauss. Sir Professor Andrew Wiles’s proof employed very advanced mathematical tools and methods that were not at all available in the known World during Fermat’s days. Given that Fermat claimed to have had the “truly marvellous” proof, this fact that the proof only came after 358 years of repeated failures by many notable mathematicians and that the proof came from mathematical tools and methods which are far ahead of Fermat’s time, has led many to doubt that Fermat actually did possess the “truly marvellous” proof which he claimed to have had. In this short reading, via elementary arithmetic methods, we demonstrate conclusively that Fermat’s Last Theorem actually yields to our efforts to prove it.
Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation  [PDF]
Shangjian Liu
Journal of Applied Mathematics and Physics (JAMP) , 2019, DOI: 10.4236/jamp.2019.71017
Abstract: In this work, we study the following problem. \"\", where \"\"?is the fractional Laplacian and Ω?is a bounded domain in RN?with Lipschitz boundary. g: R→R?is an increasing locally Lipschitz continuous function. and f∈Lm(Ω), \"\". We use Stampacchia’s theorem to study existence of the solution u
On the claimed “circularity” of the theory of natural selection  [PDF]
Petter Portin
Open Journal of Genetics (OJGen) , 2012, DOI: 10.4236/ojgen.2012.22012
Abstract: First, the numerous claims that the theory of natural selection would be a tautology, just empty circular reasoning, are shown to be erroneous, and that they follow from an essentialistic and deterministic way of thinking, which is not consistent with the dynamic theory of evolution. Secondly, it is proposed that a careful analysis applying Fisher’s Fundamental Theorem of Natural Selection of the seemingly tautologous sentence in question: “those who reproduce most, reproduce most” shows that in actual fact it is a predictive statement. Consequently, the analysis presented reduces the essence of the theory of natural selection to that one single statement.
The Distances in the Stable Systems Due to the Virial Theorem  [PDF]
Hasan Arslan
Applied Mathematics (AM) , 2013, DOI: 10.4236/am.2013.44094

The virial theorem is written by using the canonical equations of motion in classical mechanics. A moving particle with an initial speed in an n-particle system is considered. The distance of the moving particle from the origin of the system to the final position is derived as a function of the kinetic energy of the particle. It is thought that the considered particle would not collide with other particles in the system. The relation between the final and initial distance of the particle from the origin of the system is given by a single equation.

Pythagoras and the Creation of Knowledge  [PDF]
Jose R. Parada-Daza, Miguel I. Parada-Contzen
Open Journal of Philosophy (OJPP) , 2014, DOI: 10.4236/ojpp.2014.41010

In this paper, an approach to Pythagoras’ Theorem is presented within the historical context in which it was developed and from the underlying intellectual outline of the Pythagorean School. This was analyzed from a rationalism standpoint. An experiment is presented to the reader so that they, through direct observation, can analyze Pythagoras’ Theorem and its relation to the creation of knowledge. The theory of knowledge conceptualization is used.

Manifolds with Bakry-Emery Ricci Curvature Bounded Below  [PDF]
Issa Allassane Kaboye, Bazanfaré Mahaman
Advances in Pure Mathematics (APM) , 2016, DOI: 10.4236/apm.2016.611061
Abstract: In this paper we show that, under some conditions, if M is a manifold with Bakry-émery Ricci curvature bounded below and with bounded potential function then M is compact. We also establish a volume comparison theorem for manifolds with nonnegative Bakry-émery Ricci curvature which allows us to prove a topolological rigidity theorem for such manifolds.
The Modigliani-Miller Theorem with Financial Intermediation  [PDF]
John F. McDonald
Modern Economy (ME) , 2011, DOI: 10.4236/me.2011.22022
Abstract: This paper shows that, if firms borrow at an interest rate that is greater than the rate at which they can lend, the value of a firm declines with the amount borrowed. The model assumes the possibility that a firm may go bankrupt, which introduces the need for financial intermediation. A modified version of the homemade lev-erage examples introduced by Modigliani and Miller [2] is used to introduce the concept. A state-preference model is used for a more formal proof.
Liouville-Type Theorems for Some Integral Systems  [PDF]
Zhengce Zhang
Applied Mathematics (AM) , 2010, DOI: 10.4236/am.2010.12012
Abstract: In this paper, Liouville-type theorems of nonnegative solutions for some elliptic integral systems are considered. We use a new type of moving plane method introduced by Chen-Li-Ou. Our new ingredient is the use of Stein-Weiss inequality instead of Maximum Principle.
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