涉及q-差分微分多项式的亚纯函数的唯一性

本文研究亚纯函数及其q-差分算子或差分算子的1类非线性多项式的导函数分担1个非零公共值的亚纯函数的唯一性问题,这些问题涉及2009年方明亮提出的1个涉及微分多项式的亚纯函数的唯一性问题。本文结果推广了方明亮等人的有关结果。     

涉及公共值和公共值集的亚纯函数的正规族

2007年刘晓俊与庞学诚首先研究了亚纯函数及其导函数分担1个具有3个元素的公共值集的正规族问题。2011年刘晓毅与常建明推广了刘晓俊与庞学诚的相应结果。本文将在刘晓毅与常建明的有关结果基础上,进一步研究亚纯函数及其导函数分担公共值集的正规族问题。本文结果进一步推广了刘晓俊与庞学诚以及刘晓毅与常建明的有关结果。     

关于Nevanlinna亚纯函数组的一个结果的推广及其应用

本文利用差分Nevanlinna理论,将1929年Nevanlinna的涉及Wronskian行列式的亚纯函数组的一个定理在超级小于1的条件下,推广到涉及Casorati行列式的亚纯函数组的相应结果。作为本文主要结果的应用,我们在0和∞是亚纯函数的c-分割类似导数值对的条件下,证明了有关Fermat函数方程亚纯解的存在性的一个定理。     

涉及微分多项式和差分多项式的亚纯函数的唯一性

应用差分Nevanlinna理论研究亚纯函数及其移动算子或差分算子的1类非线性微分多项式分担1个非零公共值的亚纯函数的唯一性问题。本文结果部分回答了2009年方明亮提出的1个涉及微分多项式的亚纯函数唯一性问题,推广了Lahiri[6]、杨重骏和华歆厚[7]和方明亮[8]中的相应结果。     

微分多项式分担1个公共值的亚纯函数的唯一性

本文证明了非常数的亚纯函数的一类非线性微分多项式及其同次幂分担1的一个唯一性定理,该结果改进了张继龙和杨连中的相应结果。     

一类非线性微分多项式1个非零公共值的亚纯函数的唯一性

证明2个非常数的亚纯函数CM分担0和∞,这2个亚纯函数的一类非线性微分多项式CM分担1条件下的2个唯一性定理,进一步研究了杨重骏1976年提出的问题;证明了2个非常数的整函数的一类非线性微分多项式CM分担条件下的唯一性定理,在整函数条件下进一步研究了I Lahiri在1997年提出的问题。本文结果改进了仪洪勋,方彩云和方明亮等人的相应结果。     

非均匀浅海中噪声场的时空相关函数

对噪声场的时空相关函数的理论研究,以往的工作均是就海水介质是均匀的全空间或是均匀的半空间来处理问题的。对非均匀浅海中噪声场的时空相关函数讨论得较少,只在文献[6]中进行了一些讨论,但[6]中的结果与[1]中的结果不一致。本文仍据[1,2]中的结果,用简正波理论来计算非均匀浅海中噪声场的时空相关函数。     

关于整函数及其k阶导数的唯一性

在亏量和等于1的条件下,证明了整函数及其k阶导数具有2个IM公共小函数的整函数的1个唯一性定理,部分回答了李平和杨重骏于2002年提出的1个问题,并改进了先前已有的结果.     

卷积神经网络在卫星遥感海冰图像分类中的应用探究

本文以TensorFlow为框架搭建卷积神经网络,基于迁移学习的思想,以经典的手写数字识别作为引入,对不同代价函数和激活函数组合对卷积神经网络模型分类结果影响进行了评价分析。以HJ-1A/B渤海海冰图像为实验数据源,分析了不同函数组合对遥感海冰图像分类的影响,优选出交叉熵代价函数与ReLU激活函数为最佳的组合,证明了卷积神经网络在遥感海冰分类中的应用可行性。对渤海海冰图像分类结果进行验证,其中带标签样本验证精度为98.4%。使用该模型对无标签的测试样本进行识别,讨论了样本的窗口尺寸对海冰分类结果的影响,发现在400×400小范围分类实验中最佳窗口尺寸为2×2;最后对整个渤海海域进行识别验证,效果较好。     

涉及差分多项式的值分布和唯一性问题

本文在条件N(r,1/f)+N(r,f)=S(r,f)下研究了超级小于1的亚纯函数f的1类非线性差分多项式的值分布问题,改进了Laine-Yang^[4]中的相应结果.本文也分别研究了具有1个非零公共值的1类非线性微分多项式和差分多项式的唯一性问题,推广了Yang-Hua^[14]和方明亮^[15]中的相应结果。     

Model of the post-Cenozoic evolution of the cryolithozone of the shelf of the western part of the Laptev Sea

The analysis of the structure of the cryolithozone, facies, and thicknesses of the Quaternary sediments and the results of the physicochemical mathematical modeling of the modern shelf of the western part of the Laptev Sea support the influence of the Late Pleistocene glaciations on the heat conditions and the distribution of the permafrost in the area. A ～200-m thick glacier formed under aerial conditions from atmospheric precipitation represented the metamorphosed snow cover. According to the modeling, the long-living (from 60?50 to 10?4 ky) glacier reduced the thickness of the permafrost rocks in the reviewed shelf area for 280–360 m. The Holocene marine transgression additionally decreased the thickness from 50–140 m on the inner shelf to 220–350 m on the outer shelf. The modern submarine cryolithozone 450-0 m thick is wide-spread in the studied region from the coast to the shelf boundary (isobaths of 130–140 m), where it pinches out at a distance of ～380 km from the coast at a depth of ～250 m above the sea level.     

Investigation of the mechanism of the long-term evolution of the carbon cycle in the ecosystem of the Sevastopol bay

We analyze the components of the carbon system of the Sevastopol bay waters and the balance of main sediment-forming substances using the data of field investigations in 1998–2008. The interannual variations of total inorganic carbon and the equilibrium partial pressure of carbon dioxide in the bay water are noted. An increase in the flux of carbon dioxide into the bay and in the content of organic carbon in bottom sediments is revealed, and an explanation of this phenomenon is given. The priority accumulation of organic carbon in the sediments of the bay is established. We assess the interannual variation in the relative abundances of organic and inorganic carbon as an index of the carbon cycle stability.     

Contemporary state of the investigation of the influence of the discharge of rivers on the hydrologic structure of the Black Sea

We generalize and analyze the state of investigations of the influence of river waters on the hydrologic structure of the Black Sea. Specific features of the water, regime and hydrography of rivers flowing into the sea, data on the discharge of rivers, and intrayear and interyear variability of the discharge are presented. We discuss and analyze works studying the transformation of river waters, routes of desalinized sea waters, and their influence on the thermohaline structure and dynamic regime of the sea. Translated by Peter V. Malyshev and Dmitry V. Malyshev     

Modelling of the ecosystem of the Black-Sea shelf zone near the estuary of the Danube

We analyze the results of numerical calculations performed according to the three-dimensional interdisciplinary model of an ecological system of the Black-Sea shelf zone near the estuary of the Danube. The complete system of equations of hydrothermodynamics is solved together with transport equations of the advection-diffusion-reaction type used to describe the transformation of a substance (nitrogen) between the components of the characteristic vectors of the ecosystem: plankton, detritus, and biogenic elements (nitrates). We describe the distinctive features of the circumcontinental distribution of components obtained as a result of numerical experiments and present arguments for the conclusion that the ecosystem of the Danube estuary water area plays the role of a buffer zone between the press of the Danubian biogenic pollutions and the neighbouring areas of the shelf zone and open sea. Translated by Peter V. Malyshev and Dmitry V. Malyshev     

Dynamics of the ice cover and peculiarities of the ice transportation of the sediments at the tidal flats of the Kandalaksha Gulf of the White Sea

Ten years of semistationary studies of the interaction of the ice cover and the coastal relief of the Kandalakhsa Gulf in the White Sea allowed us to reveal the peculiarities of these processes in the warm and cold years and the mechanisms of the origination of ice forms, including ice tents, which govern the character of the tidal flats. Three dynamic fast ice zones are distinguished by their geomorphological location, morphology, and ice dynamics. The dependence of the mechanisms and volumes of the enrichment of the fast ice in the sediments on the coastal zone??s relief was established. At the coast of the Kindo Peninsula (Velikaya Salma Strait), the ice mostly contains fine-sandy sediments. Coarser sediments, including boulders, are occasional and frozen into the ice at the contact of the fast ice and the bottom. At the expense of the ice??s spreading by 4?C6 times in the warm years and 2?C4 times in the cold years, several thousand tons of sediments mostly from the tidal flat??s surface (100?C700 m³ from 1 km of coast in the wide tidal flats and <50 m³ on the steep coasts) are delivered to the water area.     

Relationship between the path of the Kuroshio in the south of Japan and the path of the Kuroshio Extension in the east

A relationship between paths of the Kuroshio and Kuroshio Extension (KE) is investigated, using the satellite-derived altimetry dataset of 1993–2008. When the Kuroshio takes the nearshore nonlarge meander path or typical large meander path and resultantly goes through the deeper channel (about 2500 m) of the Izu-Ogasawara Ridge, the KE path adopts a relatively stable state with the two quasi-stationary meanders. On the other hand, when the Kuroshio takes the offshore nonlarge meander path and then passes over the shallower part of the Ridge (about 1000 m), the KE path tends to be convoluted, i.e., an unstable state.     

Variability of the nutrient runoff of the rivers of the Arctic Basin

The spatiotemporal variability of the hydrochemical composition of the riverine runoff in nearmouth areas is presented using the example of selected rivers of the Arctic Basin. The temporal dynamics of the riverine nutrient runoff are mainly determined by the seasonal and interseasonal variations in the drainage basins. The spatial variations in the chemical composition of riverine waters in the near-mouth areas are mainly caused by the dynamics of the water flow and the river bed relief and, to a lesser degree, by biochemical processes. It is shown that the variations in the nutrient composition of the waters in near-mouth areas are comparable in magnitude to those at the river-sea geochemical barriers.     

Parameters of the sediments of the deep-water basin of the Black Sea

The methodology and the first results of the computations of the volumes, masses, and growth rates of the sedimentary body of the buried Black Sea basin are presented. Their temporal evolution reflects the regional paleogeodynamics, in particular, the reorientation of the vector of the relative movement of the Arabian and Eurasian lithospheric plates and the related intensification of their collision in the late Miocene-Pliocene.     

Modelling of the ecosystem on the shelf of the Republic of Guinea

Three mathematical models are considered: a two-dimensional model for calculating the concentration fields of the ecosystem components on the shelf of the Republic of Guinea, a pointwise model for the annual variation of the components, and a two predators-prey model. These models are used to study the effect of hydrodynamic conditions on the state of the shelf ecosystem and for research into the causes which distort the balance between marketable and unmarketable fish.Translated by Mikhail M. Trufanov.     

Evolution of the slope of the buried depression of the Black Sea

The first data on the temporal evolution of the slope of the buried depression of the Black Sea are obtained. The sharp change in the rate of the decrease in the slope steepness that occurred in the Late Miocene-Pliocene time reflects a reorientation of the vector of mutual movement and a related intensification of the collision between the Arabian and Eurasian lithospheric plates.