In XIIIth century, after the 1071 Battle of Mangizert, Kutalmışoğlu Suleymanshah’ leadership organization has been largely realized in Anatolia (Turkey) that a century Anatolian Seljuk Empire's domination continued. So much so first half question gives image where rule was established, while second is an Turkish political unity and authority State disappeared as result Babais’ Revolt 1239 Kösed...

As a result of massive historical and archaeological investigations the last decades 20th 21st centuries, numerous samples material cultural heritage Seljuks were discovered in Ukraine. The researchers identified stages its development, main spheres influence features manifestations. first stage covers period from appearance Oghuz on territory Southern principalities middle 11th century to half...

Here it is shown that chaotic oscillations can appear after a series of period doublings in radiating diffusion flames when the activation temperature is high enough. It is also shown that period doubling cascades appear typically in very small regions and that they may not be observable if one starts with small perturbations of a steady flame.

We prove that the period doubling operator has an expanding di rection at the xed point We use the induced operator a Perron Frobenius type operator to study the linearization of the period dou bling operator at its xed point We then use a sequence of linear operators with nite ranks to study this induced operator The proof is constructive One can calculate the expanding direction and the rate ...

We show that the greedy spanner algorithm constructs a (1+ )-spanner of weight −O(d)w(MST) for a point set in metrics of doubling dimension d, resolving an open problem posed by Gottlieb [11]. Our result generalizes the result by Narasimhan and Smid [15] who showed that a point set in d-dimension Euclidean space has a (1+ )-spanner of weight at most −O(d)w(MST). Our proof only uses the packing ...

In this paper, we study the linear structure of sets A ⊂ Fn2 with doubling constant σ(A) < 2, where σ(A) := |A+A| |A| . In particular, we show that A is contained in a small affine subspace. We also show that A can be covered by at most four shifts of some subspace V with |V | ≤ |A|. Finally, we classify all binary sets with small doubling constant.

We study the properties of generalized solutions to the Monge– Ampère equation detD2u = ν, where the Borel measure ν satisfies a condition, introduced by Jerison, that is weaker than the doubling property. When ν = f dx, this condition, which we call D , admits the possibility of f vanishing or becoming infinite. Our analysis extends the regularity theory (due to Caffarelli) available when 0 < ...

Starting from the first years of XIth century, Anatolia was scene raids Seljuk Turks, and after victory Manzikert, it became one development areas Muslim Turkish culture. In period following when culture began to flourish in Anatolian field, this could be made permanent thanks states that emerged geography. At point, State is at forefront we see making greatest contribution. When consider socia...

Voluntary motor actions aim at and are thus governed by predictable action effects. Therefore, representations of an action's effects normally must become activated prior to the action itself. In 5 psychological refractory period experiments the authors investigated whether the activation of such effect representations coincides with the response selection stage of information-processing theori...