Role of the Jiaozhon Bay as a source/sink of CO2 over a seasonal cycle

The seasonal evolution of dissolved inorganic carbon (DIC) and CO2 air-sea fluxes in the Jiaozhou Bay was investigated by means of a data set from four cruises covering a seasonal cycle during 2003 and 2004. The results revealed that DIC had no obvious seasonal variation, with an average concentration of 2035 mu mol kg(-1) C in surface water. However, the sea surface partial pressure of CO2 changed with the season. pCO(2) was 695 mu atm in July and 317 mu atm in February. Using the gas exchange coefficient calculated with Wanninkhof's model, it was concluded that the Jiaozhou Bay was a source of atmospheric CO, in spring, summer, and autumn, whereas it was a sink in winter. The Jiaozhou Bay released 2.60 x 10(11) mmol C to the atmosphere in spring, 6.18 x 10(11) mmol C in summer, and 3.01 x 10(11) mmol C in autumn, whereas it absorbed 5.32 x 10(10) mmol C from the atmosphere in winter. A total of 1.13 x 10(11) mmol C was released to the atmosphere over one year. The behaviour as a carbon source/sink obviously varied in the different regions of the Jiaozhou Bay. In February, the inner bay was a carbon sink, while the bay mouth and the Outer bay were carbon sources. In June and July, the inner and Outer bay were carbon sources, but the strength was different, increasing from the inner to the outer bay. In November, the inner bay was a carbon source, but the bay Mouth was a carbon sink. The outer bay was a weaker CO2 Source. These changes are controlled by many factors, the most important being temperature and phytoplankton. Water temperature in particular was the main factor controlling the carbon dioxide system and the behaviour of the Jiaozhou Bay as a carbon source/sink. The Jiaozhou Bay is a carbon dioxide source when the water temperature is higher than 6.6 degrees C. Otherwise, it is a carbon sink. Phytoplankton is another controlling factor that may play an important role in behaviour as a carbon source or sink in regions where the source or sink nature is weaker.

Two new species of Naticidae (Mollusca, Gastropoda) from the coast of China

Two new species of Naticidae (Mollusca, Gastropoda) collected from the coast of China are described: Cryptonaitca huanghaiensis sp. nov. and Sinum. vittatum sp. nov. The morphological characteristics between the new species were described and the related information was provided. The similarities and differenees between the new species and related species were also compared and discussed. The new species Cryptonaitea huanghaiensis differed from Cryptonaitca hirasei and Cryptonaitca andoi in outer shape, operculum and radula. The new species Sinum, vittatum is similar to Sinum, japonicum (Lischke, 1869), but the shell of the former is flat-elliptical in shape, spire very small, slightly convex. While the latter is flat-globular in shape, apex light brown in color, without a brown band on the body whorl. The comparison results revealed that Cryptonaitca huanghaiensis and Sinum vittatum were two new species from the coast of China. Specimens studied were obtained from collections in the Marine Biological Museum, Chinese Academy of Sciences.

Effect of Process Conditions on Microstructure and Corrosion Resistance of Cold-Sprayed Ti Coatings

Ti and Ti alloys can be applied to steels as a protective coating in view of its excellent resistance to corrosive environment. Cold spraying, as a new coating technique, has potential advantages in fabrication of Ti coating in comparison with conventional thermal spraying techniques. In this study, Ti coatings were prepared on carbon steel substrates by cold spraying via controlling the process conditions. The microstructure of coatings was observed by SEM. The porosity of coatings was estimated by image analysis and the bond strength was tested for comparison of the process conditions. Potentiodynamic polarization and open-circuit potential (OCP) measurements were performed to understand the corrosion behavior of the coatings. The SEM examination shows that the coatings become more compact with the increases of pressure and temperature of driving gas. The potentiodynamic polarization curves indicate that the coating which has lower porosity has lower corrosion current. The polarization and OCP measurement reveal that cold-sprayed Ti coating can provide favorable protection to carbon steel substrate. The polishing treatment of coating surface polishes the rough outer layer including the small pores as well as decreases the actual surface area of the coating, leading to the considerable improvement of corrosion resistance.

Postnatal development of the retina in root vole Microtus oeconomus

Vision plays an important role in the living habits of animals, especially in feeding. We investigated the postnatal development of retina in root vole Microtus oeconornus. The result shows that the retina of the M. oeconornus is very primitive before postnatal day （PD） 3. The neuroblastic layer does not differentiate and makes up more than half of the retina layer. The outer plexiform layer （OPL） first comes into existence at PDS. At PD6, as the presence of the OPL becomes obvious, the outer nuclear layer （ONL） and inner nuclear layer （INL） are much clearer. At PD18, the retina is similar to an adult retina and each layer becomes distinct. The thickness and cell density of the ganglion cell layer （GCL） and ONL during different postnatal days were also examined. These results show that the thickness and density of ONL increase during ontogeny, while the thickness and density of GCL decrease. Compared with Rattus norvegicus, Apodemus agrarius , Cricetulus triton, Microtus mandarinus , Myospalax cansus , Spermophilus dauricus and Sciurotamias davidianus, the histological structure of the retina of M. oeconornus is between that of nocturnal and diurnal rodents.

A new genus of grasshopper (orthoptera : acridoidea : Catantopidae : Cyrtacanthacridinae) from China

This paper reports a new genus i.e. Parapachyacris gen. nov and a new species Parapachyacris taiwanensis sp. nov in Cyrtacathacridinae. The new genus is similar to Pachyacris Uvarov, 1923 and differs from the latter in: 1) foveolae lacking; 2) hind tibiae with 10 spines on inner side and 8 spines on outer side; 3) basal part of prostemal process thickened; 4) cross veins right angled with longitudinal veins in apical part of tegmina and 5) the back of body with yellow longitudinal stripe in middle. The new genus is also similar to Patanga Uvarov, 1923 and differs from the latter in: 1) foveolae lacking; 2) basal part of prostemal process thickened; 3) upper side of hind femora with three dark bands and 4) black spots of tegmina lacking. Type specimen is deposited in the National Museum of Natural Science (NMNH), Taichung, Taiwan, China.

基于主动视觉和超声的机器人目标跟踪系统

运动目标跟踪技术是未知环境下移动机器人研究领域的一个重要研究方向。该文提出了一种基于主动视觉和超声信息的移动机器人运动目标跟踪设计方法,利用一台SONY EV-D31彩色摄像机、自主研制的摄像机控制模块、图像采集与处理单元等构建了主动视觉系统。移动机器人采用了基于行为的分布式控制体系结构,利用主动视觉锁定运动目标,通过超声系统感知外部环境信息,能在未知的、动态的、非结构化复杂环境中可靠地跟踪运动目标。实验表明机器人具有较高的鲁棒性,运动目标跟踪系统运行可靠。

移动机器人激光测距仪性能综述

对当前移动机器人上常用的激光测距仪的性能研究进行了全面的总结。分析了检测SICK、Perceptron、Explorer等常用激光测距仪各方面特性的各种实验结果。根据影响激光测距仪测量性能的方式,把激光测距仪的时变特性、角度偏移、数据传输影响、混合象素现象、色度亮度干扰现象、辐射干扰现象等,分为内因和外因两大类进行了分类讨论。

基于结构变形的大型并联六维力传感器精度研究

为了研究结构变形对大型六维力传感器精度的影响,基于螺旋理论及影响系数方法,并借助位姿解建立了考虑结构整体变形条件下Stewart平台六维力传感器测量误差模型,推导出并联六维力传感器测量的I,II类误差表达式,分析了在不同外载下,六维力传感器Ⅰ,Ⅱ类误差,总结了结构变形和平台自重对传感器测量精度的影响规律,为具有普通球形铰链大型Stewart平台六维力传感器标定方案的选择和精度的改善提供了理论基础。

基于LBL声信标的AUV快速精确定位

长基线声学定位系统是水下机器人广泛应用的外部导航设备。以对"CR-02"6000m自治水下机器人(简称AUV)技术的深入开发为背景,提出在原有长基线(LBL)定位系统的基础上增加导航功能的方案。由于海水介质非均匀性与复杂的时空变化特性,给基于测距的位置计算带来很大困难。采用平均声速法计算耗时小而误差大,波阵面定位法误差小而耗时大。为解决这个矛盾,根据AUV深度传感器给出的深度信息,采用本征声线快速计算方法解算AUV的水平面位置。与波阵面法、平均声速法进行了综合比较。仿真实验表明该方法具有优良的性能,满足AUV导航需要。

潜山油藏裂缝分布规律研究－－以辽河盆地大民屯凹陷潜山油藏为例

With the example of Damintun Depression, Liaohe Oilfield, different methods to study fracture distribution were propsosed, i.e. combined crop, core, log, with seismic attribute and paleo-stress field to predict fractural reservoir. The following conclusions are drawn: 1. Secondary fracture and dissolution pore are the main reservoir space of fractured reservoir in Damintun buried hills through observing more than 270 meters core in 27 wells. Among them, structural fracture is the main reservoir spcace in Archaean metamorphism whose main mineral are silicates, while dissolution pore and structural fracture are the main reservoir space in Protozoic carbonate which has been proved with high dissolution. Structural fracture is not only the main reservoir space but also the influent path. 2. Actual core observation and log identification proved that the formation of buried hills have the following zone: weathering crust, fracturaed zone and compact zone, among which the weathering crust and fractured zone are the main reservoir. 3. The mineralogical component of rock is the inner factor and the tectonization is the outer factor, which control the development of structural fracture. The content of brittle material in rock influences the development of structural fracture. Dissolution, chemical eluviations, weathering and fill-up affect the development of structural fracture. 4. Basement faults control the distribution of structural fracture in Damintun Depression. The trend of fracture is consistent with that of faults and there is often large-scale fractural zone around faults. 5. Based on log response, the fracture is identified with core observation, imaging well log and ANN, which can provide geological basis for optimized perforation. 6. The methods for predicting fracture with structure restoration, seismic inversion and paleo-stress simulation aiming at different types of buried-hills reservoir, and then the spatial distribution of the fracture and density is obtained, which can provide geological basis for well site adjustment.

藏东南巨厚松散堆积体发育条件、成灾模式及防治对策——以川藏公路然乌至鲁朗段为例

The unique geologic, geomorphic and climatic conditions of southeast Tibet have made the region to develop the multi-style and frequently occurring geologic hazards, especially the collapses and landslides and debris flows along the section of Ranwu-Lulang in Sichuan-Tibet highway. However, most of those geologic hazards have close relationship with the loose accumulations. That is, the loose accumulations are the main carrier of most geologic hazards. Thereof, the huge-thick accumulations along the highway is regarded as the objective in the thesis to study the geologic background, hazarding model and mitigation methods comprehensively, based on the multi-disciplinary theories and former materials. First of all, in the paper, based on field engineering geologic investigations, the genetic type and the characteristics of spatiotemporal distribution of the huge-thick loose accumulations along the highway, have been analysized from the factors of regional geology and geomorphy and climate, as well as the coupling acting of those factors with inoculation and eruption of the loose accumulations geologic hazards. The huge-thick loose accumulations has complex genetic types and specific regulations of spatiotemporal distribution, closely controlled by the outer environment of the region. The accumulations are composed of earth and boulder, with disorder structure and poor sorting, specific forming environments and depositing conditions. And its physical and mechanic properties are greatly distinguished from rock and common earth inland. When Sichuan-Tibet highway was firstly constructed along the north bank of Purlung Tsangpo River, the huge-thick loose accumulations was cut into many high and steep slopes. Through the survey to the cut-slopes and systematic investigation to their failures, the combination of height and angle of the accumulations slope has been obtained. At the same time, the types of genetic structure of those cut-slopes are also analysized and concluded, as well as their failure models. It is studied in the paper that there are piaster, duality, multielement and complexity types in genetic structure, and rip-dump-repose, rip-shear-slip and weathering-flake types in failure models. Moreover, it is briefly introduced present engineering performance methods and techniques dealing with the deformation and failure of the accumulations cut-slope. It is also suggested that several new techniques of slope enforcement and the method of landslide and rockfall avoiding should be applied. The research of high and steep cut-slope along the highway has broadened the acknowledgement of the combination of cut-slope height and angle. Especially, the dissertation also has made the monographic studies about the geologic background and hazarding models and prevention methods of some classic but difficult accumulations geologic hazards. They are: (1) Research of the engineering geologic background of the 102 landslide group and key problems about the project of tunnel. The 102 landslide group is a famous accumulational one composed of glacial tills and glaciofuvial deposit. The tunnel project is a feasible and optional one which can solve the present plight of “sliding after just harnessing” in the 102 section. Based on the glacial geomorphy and its depositing character, distribution of seepage line, a few drillhole materials and some surveying data, the position of contact surface between gneiss and accumulations has been recognized, and the retreating velocities of three different time scales (short, medium and long term) have been approximately calculated, and the weathering thickness of gneiss has also been estimated in the paper. On the basis of above acknowledgement, new engineering geomechnic mode is established. Numerical analysis about the stability of the No.2 landslide is done by way of FLAC program, which supplies the conclusion that the landslide there develops periodically. Thereof, 4 projects of tunnel going through the landslide have been put forwards. Safety distance of the tunnel from clinohefron has been numerically analysized. (2) Research of the geologic setting and disaster model and hazard mitigation of sliding-sand-slope. From the geologic setting of talus cone, it is indicated that the sliding-sand-slope is the process of the re-transportation and re-deposit of sand under the gravity action and from the talus cone. It is the failure of the talus cone essentially. The layering structure of the sliding-sand-slope is discovered. The models of movement and failure of the sliding-sand-slope has been put forwards. The technique, “abamurus+grass-bush fence+degradable culture pan”, is suggested to enforcement and green the sliding-sand-slope. (3) Characteristics and hazarding model and disaster mitigation of debris flow. The sources of solid material of three oversize debris flows have been analysized. It is found that a large amount of moraine existing in the glacial valley and large landslide dam-break are the two important features for oversize debris flow to be taken place. The disaster models of oversize and common debris flows have been generalized respectively. The former model better interpret the event of the Yigong super-large landslide-dam breaking. The features of common debris flow along the highway section, scouring and silting and burying and impacting, are formulated carefully. It is suggested that check dam is a better engineering structure to prevent valley from steeply scouring by debris flow. Moreover, the function of check dam in enforcing the slope is numerically calculated by FLAC program. (4) Songzong ancient ice-dammed lake and its slope stability. The lacustrine profile in Songzong landslide, more than 88 meters thick, is carefully described and measured. The Optical Simulated Luminescence (OSL) ages in the bottom and top of the silty clay layer are 22.5±3.3 kaB.P., 16.1±1.7 kaB.P., respectively. It is indicated by the ages that the lacustrine deposits formed during the Last Glacial Maximum ranging from 25ka B.P. to 15ka B.P. The special characteristics of the lacustrine sediment and the ancient lake line in Songzong basin indicated that the lacustrine sediment is related to the blocking of the Purlung Tsangpo River by the glacier in Last Glacial Maximum from Dongqu valley. The characteristics of the lacustrine profile also indicate that the Songzong ice-dammed lake might run through the Last Glacial Maximum. Two dimensional numerical modeling and analysis are done to simulate the slope stability under the conditions of nature and earthquake by FLAC program. The factor of safety of the lacusrtine slope is 1.04, but it will take place horizontal flow under earthquake activity due to the liquefaction of the 18.33 m silt layer. The realign to prevent the road from landslide is suggested.

通过第一性原理计算研究内地核的结构与成分

The determination of the composition and structure of the Earth’s inner core has long been the major subject in the study of the Earth’s deep interior. It’s widely believed that the Earth’s core is formed by iron with a fraction of nickel. However, light elements must exist in the inner core because the earth core is less dense than pure iron-nickel alloy (~2-3% in the solid inner core and ~6-7% in the liquid outer core). The questions are what and how much light element is there in the iron-nickel alloy. Besides the composition, the crystal structure of the iron with or without light element is also not well known. According to the seismological observations, the sound waves propagate 3-4% faster along the spin axis than in the equatorial plane. That means the inner core is anisotropic. The densest structure of iron-nickel alloy should be h.c.p structure under the very high pressures. However, the h,c,p structure does not propagate waves anisotropic ally. Then what is the structure of the iron-nickel alloy or the iron-nickle-light element alloy. In this study, we tried to predict the composition and the structure of the inner core through ab initio calculation of the Gibbs free energy, which is a function of internal energy, density and entropy. We conclude that the h.c.p structure is more stable than the b.c.c structure under high pressure and 0 K, but with the increase of temperature, the free energy of the b.c.c structure is decreasing much faster than the h.c.p structure caused by the vibration of the atomics, so the b.c.c structure is more stable at high temperatures. With the addition of light elements (S or Si or both), the free energy of b.c.c. decreases even faster, about 3at% of Si not only explains why the inner core is about 2-3 % lighter than the iron-nickle alloy, but also reasons why the inner core is anisotropic, since the b.c.c. structure becomes more stable than the h.c.p structure at 5500-6000K and b.c.c. is anisotropic in propagating seismic waves. Therefore, we infer that the inner core of the earth is formed by b.c.c iron and a fraction of nickel plus ~3at.% Si, with a temperature higher than 5500K, which is consistent with the studies from other approaches.

山东平度大庄子金矿床地质地球化学特征及成因——兼论层间滑动角砾岩型金矿成矿模式

The author selected the geological and geochemical characteristics and the genesis of the Dazhuangzi gold deposit in the Pingdu City as the central content of the study. The author summarized geological features of the other gold deposits formed within the same geological setting along the margin of the Jiaolai pull-apart basin and compared these gold deposits with the Dazhuangzi gold deposit. On the basis of the first-hand data obtained from field investigation and from mining production reports, ore-controlling structures, geological characteristics and mineralization regularities of the Dazhuangzi gold deposit are studied in detail. According to the analyzing results of petrochemistry, trace element, rare earth element and fluid inclusion etc., the geochemical characteristics, the genesis and the ore-forming material source of the Dazhuangzi gold deposit and that of the other similar gold deposits along the margin of the Jiaolai Basin are proposed. The study results suggest that the Dazhuangzi gold deposit belongs to the typical interstratified glide breccia type gold deposit, which is controlled by the interstratified glide fault structure located along the margin of the Mesozoic pull-apart Jiaolai basin. The interstratified glide fault structure is in the outer part of unconformity belt between the overlying strata and the basement of the pull-apart basin, being along the marble strata of the Jingshan group. The formation of the ore-controlling structure is related closely with the evolution of the Jiaolai Basin in the Mesozoic. The ore-controlling structure underwent the structural stress changes from compressive to tensional and then to compressive stress with strike slipping features sequentially, which were coincided with the regional tectonic stress evolution. The interstratified glide breccia type gold mineralization mainly occurs in the siliceous-marble breccias and cataclastic rocks within the interstratified glide fault structure. The gold minerogenetic epoch is later than 120Ma when the ore-controlling structure was tensioning and strike-slipping. The occurrences of the ore controlling structure and the gold ore bodies are the same as that of the unconformity belt. The geological and geochemical studies show that the source of the ore-forming material is alike with that of the volcanic rocks of the Qingshan formation, which is widespread in the Jiaolai Basin. Both of them came from the deep crust or even the upper mantle. Based on the geological characteristics and the minerogenetic regularities of the Dazhuangzi gold deposit, a genetic model of the deposit is constructed. In addition, the author used the remote sensing image and exploration results of geochemical and geophysical methods to point out several prospecting areas for further exploration. Through comprehensive study on the interstratified glide fault structure and on the interstratified glide breccia type gold deposits along the Jiaolai pull-apart basin, three types of interstratified glide structures and related gold mineralization are set up according to evolution and distribution of main fault as well as related secondary faults in time and space. They are named as Penjiakuang type, Dazhuangzi type and Fayunkuang type. The author summarized up the minerogenetic characteristics and regularities controlled by these three different types of interstratified glide structures respectively, and set up a general minerogenetic model of the interstratified glide breccia type gold deposit.

博兴洼陷西部砂体成因与油气成藏研究

Based on achievements of thirty years of hydrocarbon exploration, this paper uses the modern theories and methods of sedimentology and oil accumulation to study the origin and distribution features of four sandbodies of Gaoqing, Fanjia, Zhenglizhuang and Jinjia from the third member to the lower second member of Shahejie Formation in detail. Various geophysical methods are also used to explain and to predict the spatial distribution of sandbodies, which further shows mechanism and the model of oil accumulation and illuminates the disciplinarians of oil enrichment and its controlling factors in the study area. The most favourable oil pools predicted by this paper have significant economic and social benefits, which has been confirmed by the exploration. The main conclusions and knowledge includes: (1) Resolving the problems, which remain unresolvable for a long time in the western area of Boxing depression, about the original environment and the spatial distribution of sandbodies of Gaoqing, Fanjia, Zhenglizhuang and Jinjia, and illuminating their relationships. It is suggested that two deltas or delta-related sandbody sediments, which include the delta sandbodies of Jinjia and Gaoqing and their frontal turbidite fan sandbody, are developed in the second and third members of Shahejie Formation. The sandbodies of Fanjia, Gaoqing and Zhenglizhuang are components of Gaoqing delta and belong to the sediments of various periods in different part of the delta. Whereas, the sandbody of Jinjia belong to the Jinjia delta or fan-delta created by the uplift of the Western Shandong and in some areas shows the features of juxtaposition, superimposed deposition and fingeration with the sandbodies of Gaoqing and Zhenglizhuang. (2)Proposing that the sandbodies of different origins in the deltas of Gaoqing and Jinjia have obvious different reservoir qualities, among which the delta frontal bedded sandbodies in the second member of Shahejie Formation in Zhenglizhuang are the best ones and the turbidite sandbody of Fanjia is relatively worse. This shows the direction of further reservoir prediction. (3) According to modern petroleum system theory and continental pool-formation theory, the author divided the western area of Boxing depression into the Jinjia—Zhenglizhuang—Fanjia nose structure belt pool-formation system and the Gaoqing fracture belt pool-formation system. The study area is predominantly located in the former belt and subdivided into pool-formation sub-systems of Zhenglizhuang-Fanjia and Jinjia, which have the source rock of mudstone and oil shale from the upper forth member and the third member of Shahejie Formation in Boxing depression. The hydrocarbon migration and accumulation are controlled by Jinjia-Zhenglizhuang-fanjia nose structure and Gaoqing fracture. (4)Proposing that compared with the best developed sandbodies and traps in the west area of Boxing, the source from the Boxing depression is not sufficient, which is the fundamental reason that the hydrocarbon resources in mid-west area is less than in the east of Boxing. (5) Under the direction of the new theory (fluid compartments theory) and new method of modern pool-formation mechanism, two kinds of pool-formation model are established in study, i.e. inner-compartment model and outer-compartment model. The former has abnormal pressure and is the antigenic source seal pool-forming mechanism, whereas the latter has normal pressure and is of the allochthonous source opening pool-formation mechanism. (6)The study shows that the four sandbodies of Gaoqing, Fanjia, Jinjia and Zhenglizhuang sand are all very benefit for pool-formation, among which the Fanjia sandbody is the best favourable one and is likely to form lithological reservoir and fault-lithological reservoir. But the main step of exploration in Gaoqing, Zhenglizhuang sandbodies should be finding out the fault block, reversed roof and stratum-lithological oil reservoir. (7)Established a set of guidelines and techniques for the research and exploration in the large scale of sandbodies. Proposing that the various traps related to reversed fault and basin-ward fault should be found in step slopes and gentle slopes respectively, and the lithological oil reservoir should mainly be found in the sandstone updip pinch out. It is also suggested that Fanjia sandbody is most favourable to form the lithological and fault-lithological and the Gaoqing, Zhenglizhuang and Jinjia sandbodies have the potential of forming fault block, reversed roof and stratum-lithological oil reservoir. (8) Interpretation and prediction the spatial distribution of main sandbodies based on various geophysical methods suggestion that Fanxi, Gao28 south and Gao27 east have better exploration potential.

五十万年来人类对黄土地区的适应性初步研究

After researching the coupling relationship among choosing raw material, stone technology, environmental change and Huaman evolution stage of archeological sites in different sediment in north China, the author thinks that: The human behavior is different in loessic region between glacial and interglacial ages. In Human evolution procession, Human erectus and early Human sapiens may co-exist in north China before L2, but after L2Human erectus disappear, and the stone technology of early Human sapiens become more progression. After comparing the age and environment, geology context, stone technology and using fire between them, we may make a preliminary conclusion that the environmental change during L2 maybe the outer reason and different capability of adaptation between Human erectus and early Human Sapiensis is the inner reason of Human erectus becoming disappear. The environmental change in last glacial climax and deglacial may result in new crowd and new culture entering into North China, which break the culture tradition which exist since early stage of palaeolithic. And play an important role from palaeolithic stage into neolithic stage. So unstable envirnmental change play an important role in Human evolution procession, and different scale environment change have different effect, large scale environmental change make small effect, but millenary scale even more short scale environmental change may bear more important role, some times it can transfer the evolution direction.