算術上的問題 的英文怎麼說
中文拼音 [suànshùshàngdewèntí]
算術上的問題
英文
a problem in arithmetic- 算 : Ⅰ動詞1 (計算數目) calculate; reckon; compute; figure 2 (計算進去) include; count 3 (謀劃;計...
- 術 : 術名詞1. (技藝; 技術; 學術) art; skill; technique 2. (方法; 策略) method; tactics 3. (姓氏) a surname
- 上 : 上名詞[語言學] (指上聲) falling-rising tone
- 的 : 4次方是 The fourth power of 2 is direction
- 問 : Ⅰ動詞1 (請人解答) ask; inquire 2 (詢問; 慰問) question; ask about [after]; inquire about [aft...
- 題 : Ⅰ名詞1. (題目) subject; title; topic; problem 2. (姓氏) a surname Ⅱ動詞(寫上) inscribe; write
- 算術 : arithmetic figure; arithmetic
- 問題 : 1 (需回答的題目) question; problem 2 (需研究解決的矛盾等) problem; matter 3 (事故或意外) tr...
-
The program is applied to 1st phase project of dayao bay bulk terminals, dalian port and the result is satis factory. finally, the article discusses the problem in research and brings some advices in further research. based on systems analysis, modem computer simulation technology and technological analysis of large. sized bulk terminals, the article proposes the appliance of ooa to the research of bulk handling system and raises a concept of simulation system
本論文針對散糧碼頭系統設計與運營中出現的問題,根據系統分析的方法,結合現代計算機模擬技術,在對大型散糧裝卸碼頭工藝系統分析的基礎上,提出了應用面向對象的系統分析方法開展對散糧碼頭裝卸工藝系統進行分析研究,並建立模擬系統的概念。In this paper, the main research works are as follows : 1 ) survey and analysis previous work in auv navigation and summarize : as the cumulate error, the dead - reckoning and inertial navigation systems ca n ' t be used without other modified system ; the acoustic navigation system is used only in small range, and is very expensive. 2 ) two important approaches in geophysical navigation techniques are summarized, one is terrain contour based navigation, this approach is investigated keystone today ; the other is image based navigation, due to no perfect image sensors and image seabed map, this approach has seldom been practised. 3 ) two important terrain contour based navigation algorithms has been applied to auv, one is match algorithm - based terrain contour match ( tercom ) ; the other is kalman filter - based sandia inertia terrain - aided navigation ( sitan )
主要研究內容包括:一、總結分析了當前水下導航的常用方法和不足之處,指出基於航位推算的導航方法,存在著最大的問題就是導航誤差的積累問題,如果沒有修正系統,這種方法很難滿足使用要求;其次指出基於聲學的導航方法,造價昂貴,導航范圍有限,難以滿足自主水下航行器大范圍導航的需求;二、總結了當前水下地形輔助導航的主要技術路線,一是基於地形高程的匹配方法,這是當前研究的重點;二是基於地形圖像的匹配方法,由於缺乏良好的圖像傳感器,和可用的海底圖像地圖,目前這種方法還有待研究發展;三、將兩種地形高程匹配的常用方法應用到自主水下航行器上:以相關演算法為前提的地形輪廓匹配( tercom )方法和以卡爾曼濾波為基礎的桑迪亞慣性地形輔助導航( sitan )方法,前者演算法簡單可靠,但是導航精度不高,後者雖然精度比較高,但存在著演算法較為復雜、有可能發散和出現奇異值等問題。In this paper, high - order accurate weighted essentially non - oscillatory ( weno ) schemes are investigated and their applications in hyperbolic conservation laws are discussed. based on this, a new weno difference scheme which based on dispersion - relation - preserving relation is developed, and representative test cases with this scheme for computational aeroacoustics ( caa ) problems has been implemented and compared in order to test capability of wave capturing ; in addition, weno schemes generally do not converge at high order in the presence of contact discontinuity of euler equations, so a conservative front tracking technique coupling weno schemes and level set method to simulate the translating density profile is presented here, and numerical simulation with this technique for representative test case has been implemented and results show the desired accuracy
本文研究了高階精度加權基本無振蕩( weno )格式及其在雙曲守恆律方程中的應用,在此基礎上作了兩個方面的工作:一是針對高頻聲波問題構造出一種基於保色散關系( drp )的weno有限差分格式,並對計算氣動聲學( caa )問題的代表性算例進行了大量數值實驗,比較了該格式捕捉波數的能力;另外,針對高階weno格式在處理euler方程的接觸間斷時精度有所降低的問題,研究了利用界面追蹤技術levelset方法和高階激波捕捉weno格式相結合的一種守恆追蹤方法,並且給出有代表性的密度滑移面問題的算例,得到一致高階精度的數值模擬結果。Instruction detection technology is core in instruction detection system, it include abnormity instruction and abused instruction detection, on the basis of traditional network security model, ppdr model, instruction detection principle and instruction technology analysis, the author has brought forward instruction detection method based genetic neural networks, adopted genetic algometry and bp neural networks union method, and applied in instruction detection system, solve traditional bp algometry lie in absence about constringency rate slowly and immersion minim value
入侵檢測分析技術是入侵檢測系統的核心,主要分為異常入侵檢測和誤用入侵檢測。作者在對傳統網路安全模型、 ppdr模型、入侵檢測原理以及常用入侵檢測技術進行比較分析的基礎上,提出了一個基於遺傳神經網路的入侵檢測方法,採用遺傳演算法和bp神經網路相結合的方法?遺傳神經網路應用於入侵檢測系統中,解決了傳統的bp演算法的收斂速度慢、易陷入局部最小點的問題。Secondly, in phase unwrapping to overcome the spread of wrong point, changing the patch of unwrapping phase is done to improve the correctness of it. then, the relation between the unwrapping phase and the height of reconstructed object is discussed detailedly. the data processing, algorithm analysis and reconstructing object are done for the collecting fringe image which are all based on matlab language, in all these achievements, the improvement and innovation aspect are following : a ) in order to stabilize the interference fringe, a new equivalent shifting object method is presented by using fringe stabilizing device to stabilize the interference fringe though moving object and ccd camera which fixed on a precise moving platform together, the experimental result shows the fringe drift is less than a / 20 in five minutes, and the equivalent phase shifting precision is x / 100
論文在全面闡述了光學三維輪廓位相測量術的發展、應用現狀、研究熱點及未來發展趨勢的基礎上,簡要介紹了傅立葉變換和相移位相輪廓測量術的基本原理,對兩種測量方法存在的問題及誤差進行詳細分析和比較;針對位相解包裹錯誤點的傳播問題,作者通過改變解包裹路徑來提高位相解包裹的正確性;分析討論從解包裹位相( x , y )到再現物體的高度h ( x , y )物理量之間的關系,研究相應的演算法,利用matlab平臺,對實際採集的條紋圖像進行處理和輪廓重構,其中改進及創新工作主要表現在以下兩個方面: ( a )針對干涉型結構光場干涉條紋出現的漂移抖動對相移的影響,提出了一種用條紋穩定器穩定干涉條紋,用精密移動平臺使物體和ccd攝像頭同步移動實現等效相移的方法,建立了相應的測量系統,系統的條紋穩定可以達到。According to the research mentioned above, this paper analyzes the bbk trust model whose critical attribute is binary, and indicates its disadvantages : trust failure punishment equals to that of success, which deviates reality ; malicious recommendation and unfair phenomenon is serious ; trust value fluctuates due to simple arithmetical average algorithm and computation lasts long
基於以上工作,分析了關鍵屬性為二元屬性的bbk信任計算模型,指出其存在的問題:信任理解與現實存在偏差?信任失敗的懲罰尺度等於成功信任尺度;存在嚴重的惡意推薦現象和不公平現象;採用簡單的算術平均計算信任值可能導致波動很大;計算時延較大。4. in accordance with the difficult problem of trial - weight on the using horizontal decanter centrifuges, this paper bring forward a method to gain the inner unbalanced weight through adding trial - weight on the external rotor. we have discussed the theory of this method in detail and the feasibility of this method have been accepted by the high - grade technician in some factory
針對目前在役臥螺離心機的內轉子沒有預留可裝拆的配重處的問題,本文提出了在外轉子上試重進行平衡再換算到內轉子校正面上的平衡方法,此方法在理論上已得到充分的論證,在可行性方面已得到了有關企業高級技術人員的認可。The form display in chinese and can be operated easily. i has done the following works : ( 1 ) have innovated a computer control system of double - side automatic tig erect welding of aluminium alloy ; ( 2 ) analysed the key technics of the control system completely ; ( 3 ) designed the computer control system ; ( 4 ) solved some possible existing craftwork problems when welding the aliminium alloys ; ( 5 ) solved the existing problems of erect welding such as gravity ; ( 6 ) by the designing of hardware and software, the paper has solved the problem of high frequency interference to the computer control system, such makes the system work steadily ; ( 7 ) established the mode of imitating the dynamic process of welding
本文主要在如下幾個方面做了一些工作: ( 1 )本文創新性地設計了鋁合金雙面自動tig立焊計算機控制系統( 2 )全面地分析了控制系統實施過程中的關鍵技術; ( 3 )微機控制系統的設計; ( 4 )解決鋁合金在自動焊接過程中工藝上可能存在的問題; ( 5 )解決立焊工藝中由於重力等導致的問題; ( 6 )通過硬體和軟體的設計,克服高頻干擾,從而確保控制系統的可靠性; ( 7 )設計的控制系統可以完成定位焊接,自動焊接和模擬焊接; ( 8 )焊接動態過程的辯識建模及系統模擬。Network forensics is an important extension to present security infrastructure, and is becoming the research focus of forensic investigators and network security researchers. however many challenges still exist in conducting network forensics : the sheer amount of data generated by the network ; the comprehensibility of evidences extracted from collected data ; the efficiency of evidence analysis methods, etc. against above challenges, by taking the advantage of both the great learning capability and the comprehensibility of the analyzed results of decision tree technology and fuzzy logic, the researcher develops a fuzzy decision tree based network forensics system to aid an investigator in analyzing computer crime in network environments and automatically extract digital evidence. at the end of the paper, the experimental comparison results between our proposed method and other popular methods are presented. experimental results show that the system can classify most kinds of events ( 91. 16 ? correct classification rate on average ), provide analyzed and comprehensible information for a forensic expert and automate or semi - automate the process of forensic analysis
網路取證是對現有網路安全體系的必要擴展,已日益成為研究的重點.但目前在進行網路取證時仍存在很多挑戰:如網路產生的海量數據;從已收集數據中提取的證據的可理解性;證據分析方法的有效性等.針對上述問題,利用模糊決策樹技術強大的學習能力及其分析結果的易理解性,開發了一種基於模糊決策樹的網路取證分析系統,以協助網路取證人員在網路環境下對計算機犯罪事件進行取證分析.給出了該方法的實驗結果以及與現有方法的對照分析結果.實驗結果表明,該系統可以對大多數網路事件進行識別(平均正確分類率為91 . 16 ? ) ,能為網路取證人員提供可理解的信息,協助取證人員進行快速高效的證據分析The advent of the internet and the wide availability ofcomputers, scanners and printers make digital data acquisition, exchange and transmission a simple task. however, making digital data accessible to others through networks also creates opportunities for malicious parties to make salable copies of copyrighted content without permission of the content owner. digital watermarking is likely to be a potential solution to this problem. digital watermarking has been proposed as a solution to the problem of copyright protection of multimedia documents in networked environments. it makes possible to embed a watermark ( such as identification data, serials number, text or image etc. ) to multimedia documents allowing copyright protection, secret communication, document authentication and so on. in this paper, we present a new digital image watermarking method based on svd ( singular value decomposition ), and then give some theoretical analysis about the algorithm. extensive experimental results show that this method is much more robust than other methods presented before
隨著計算機和網路技術的飛速發展,數字圖像、音頻和視頻產品愈來愈需要一種有效的版權保護方法,另外通信系統在網路環境下的信息安全問題也日益顯露出來.數字圖像水印技術為上述問題提供了一個潛在的解決方案.所謂水印技術就是將數字、序列號、文字、圖像標志等版權信息嵌入到多媒體數據中,以起到版權保護、秘密通信、數據文件的真偽鑒別和產品標志等作用.本文提出了一種新的基於奇異值分解的數字水印演算法並且對該方法的理論基礎給出分析.實驗結果表明這種方法要比目前提出的流行演算法魯棒In fact, algebra is a simple language, used to create mathematical models of real - world situations and to handle problems that we can ' t solve using just arithmetic
實際上,代數是一種簡單的語言,用於對現實世界建立數學模型,而且還用於處理一些僅用算術無法解決的問題。Just as you said before, i am quite familiar with making action movie, and i know all the tricks and techniques, so i don t really have any big problem handling it
因為在製作上已不再有大的問題,正如你之前所說,我拍動作片都算是一個熟手,很清楚一部動作片的技術是怎樣處理。Based on the urgent need that pier protective device primarily designed needed to be tested its crashworthiness by the impact of ship in multi - situation, etc in multi - angle and multi - water, the writer analyzed the critical elements that affect the simulation of the collision between ship and pier protective device, and found the feasible way to deal with the conflict between calculation efficiency and precision. using this method and employing ansys / ls - dyna program, which is the universal nonlinear dynamic analysis software, a head - on collision between ship and pier protective device designed for guanzhou river bridge is simulated and presented, the simulation of time history course of full - scale mini - collision between ship and pier protective device was taken into reality with a spot of elements ( less than 21000 ) and scanty time ( 9 hours on p4 pc )
本文在前人研究的基礎之上,結合船橋碰撞實例,對碰撞計算機模擬模擬的關鍵技術進行了研究,在效率與精度的矛盾中找到平衡,對一艘2000噸級散貨船橫橋向正撞廣東管洲河大橋橋墩防撞鋼套箱這一種工況進行了計算機模擬模擬,實現了以較小的單元和較短的時間模擬碰撞的時間歷程,模擬滿足工程精度要求,解決了目前碰撞模擬計算周期太長的問題,同時模擬模擬得到的結論對該類防撞裝置提供了有價值的參考。( 2 ) in this paper, the author summarized the working principle, the superiority and the limitations of a few main kinds of classical sprinkler systems ; put emphasis on the importance of a few key points which is relevant to the function of the system, such as the choosing of sprinkler and it ' s fixing, the automatic checking function of water pump, the layout of alarm valve, especially the choosing of sprinkler and it ' s fixing ; looked through the feasibility of which we used water instead of gas by water mist especially finely divided water mist fire - extinguishing technique
展望了水噴霧技術特別是細水霧技術進行以水代氣滅火的可行性。 ( 3 )針對工程設計中最復雜,工作量最大的部分-系統水力計算部分,在規范的基礎上,基於excel電子表格,提出了經濟流速的范圍,提供了一套行之有效的設計計算方法,同時,對屋頂水箱和增壓泵的設置這一難以解決的問題發表了見解,既確保了自動噴水滅火系統初期快速滅火、控火的性能,又節省了大量的設計工作時間。Point to above problems, under the financial support of the national natural science foundation ( exploration of high tech and new concept and new conceive ), the excellent young teachers program of ministry of education and national excellent doctoral dissertation special foundation, the static and dynamic real - time computation of elasticity - plastic mechanics, solving method of fuzzy finite element and other problems were studied in this paper. and some achievement was gained as following : ( 1 ) based on the positive definiteness of system stiffness matrix of finite element that was modified and the form of potential energy function of elastic body, the linear system of saturation mode ( lssm ) was introduced into the neural computation of finite element, by which the no - error solving of finite element neural net computation was realized in theory
針對上述問題,在國家自然科學基金(高技術新概念新構思探索) 、教育部優秀青年教師資助計劃、高等學校全國100篇優秀博士學位論文作者專項基金等的資助下,本文對彈塑性力學問題的動靜態的實時計算、模糊有限元的求解方法等問題進行了系統和深入的研究,取得了以下成果: ( 1 )根據有限元總剛矩陣經修正後具有正定性的特點以及彈性體勢能函數的具體形式,將飽和模式的線性系統(簡稱為lssm系統)引入到有限元的神經網路計算中,在理論上實現了有限元神經網路計算的無誤差求解。Based on the ana1yse of the way of the water pipe network ’ s management and the difficult problem which exist in the course of running water pipe network it presents the collectivity project of the city service pipe network geography information manage system and estab1ish the waterpipe network ’ s basic data - base, and conform afresh the network data by the mode of data - base organization. then on the base of it, open out the water pipe networks graphics show and edit, hydraulic simulation module, disposal accident module and data query andanalyse module and set up the geography information system. it will exert the network ’ s data - base and computer effect on the city water management
在對目前給水管網管理方式以及管理過程中碰到的問題進行分析的基礎上,給出了城市給水管網地理信息管理系統的總體方案和詳細設計,同時建立了給水管網基礎數據庫,依照數據庫的組織方式對管網數據進行管理、編輯和分析,並在此基礎上,開發了城市給水管網圖形顯示、圖形編輯、水力模擬、管網事故處理、管網數據查詢分析和管網數據專題圖等功能模塊,建立了城市給水管網地理信息系統,以充分發揮管網數據和計算機技術在城市供水管理中的作用。5. through the technology above - mentioned, accomplished the design of computer automic control system of new no. 1 and 2 coke oven in the company of meihua. and solved the problem of the old system, meet the need of production and provided a solution on other occasions
5 、通過採用以上技術,設計完成了煤化公司新1 、 2 #焦爐計算機自動控制系統,解決了原系統存在的問題,滿足了生產需要,並為在其他場合的使用提供了借鑒。This text completely and systematically studies the status and the development of the pyrolysis and the fluidization of biomass, which distill the bio - oil in the domestic and international area, as well as the existing problems. this thesis primarily include following aspects : ( l ), by experimenting and measuring the energy ( heat value ) and the content of c, h, n chemical element of right 20 kinds of common biomass, on the base of the experimental result, and respectively established the biomass energy predict experiment formula with the element of h and c is from change, and passed the ro. os examination, which provides the basis and convenience for flash pyrolysis fluidization device energy to convert the rate to compute with biomass energy utilization calculation ; ( 2 ), proceeded the tg and dtg experimentation equal velocity ( 10 ? / min, 20 ? / min, 40 ? / min, 60 ? / min ) heating and constant temperature heating by studying on eight kinds of biomass samples, according to the experimental data and arrhenius formula, we established the dynamics model of pyrolysis of, then, using the goast - redfern and p function, we also solved the dynamics parameters and analyze out every kind of biomass ' s frequency factor and parameters of activation energy, and established the every kind of dynamics model of pyrolysis of biomass, all of these provide the theories and basis to make sure the reactor ' s flash pyrolysis work temperature scope design and the describing of pyrolysis reactor dynamics ; ( 3 ), in order to study and ascertain the process of heat completely getting to pyrolysis time of varied size biomass particles, we observed and measured the ratio of length and diameter ( l / d ) with the varied biomass through electron microscope, we concluded the l / d ratios usually is from 5. 0 to 6. 0, the average is 5. 3 ; ( 4 ), we studied the process of biomass transiting and the theory of complete pyrolysis time with the theory of complicated heat field, we got the time ( t ) of the varied size biomass particles arriving to complete pyrolysis, and we knew that the complete pyrolysis time and the time which get to the biggest production ratio are identical, all of these studies provide the theory base for design and forecasting the flash pyrolysis reactor solid state resort time ; ( 5 ), according to the above experiment result, synthesize to make use of the engineering the mechanics, engineering the material, machine the design to learn the principle, deduce, establish the theory of rotation cone flash pyrolysis reactor material resort time ( t ) and reasonable rotation velocity ( or frequency ) relation theory ; and ( 6 ), we gave the reactor ' s smallest cone angle certain, reactor cone wall strength design theory, the reactor production ability theory, the power design method and the critical rotation velocity theory
本文較全面、系統地綜述了國內外生物質熱解液化制取生物燃油技術研究發展現狀及存在的問題,主要研究內容有: ( 1 )實驗、測定了20種常見生物質的能量(發熱量)和c 、 h 、 n元素含量,根據實驗結果分別建立了以h和c為自變量的生物質能量預測經驗公式,並通過r _ ( 0 . 05 )檢驗;為閃速熱解液化裝置能量轉化率計算和生物質能量利用率計算提供了依據和方便; ( 2 )選擇了8種生物質試樣作了等加熱速率( 10 min 、 20 min 、 40 min 、 60 min )和恆溫加熱的tg和dtg實驗,根據實驗數據和阿倫尼烏斯公式建立了生物質熱解反應動力學微分方程,並採用goast - redfem積分法和p函數對其動力學參數進行了求解,解析出各種生物質的頻率因子和活化能參數,進而建立了各種生物質的熱解動力學模型,為科學確定反應器的閃速熱解工作溫度范圍及熱解反應動力學描述,提供了理論和依據; ( 3 )為研究和確定不同尺度的生物質顆粒中心達到全熱解的時間,在體視顯微鏡下對不同粒度的生物質顆粒的長徑比進行了實驗觀察和測定,得出生物質的長徑比( l d )一般在5 . 0 6 . 0之間,平均為5 . 3的結果; ( 4 )採用復雜溫度場傳熱學理論對生物質傳熱過程及充分熱解時間理論進行了研究,解析推導出了不同尺寸生物質顆粒中心溫度達到充分熱解溫度的時間( t ) ,得出了理論推導的充分熱解時間與最大產油率的熱解時間相一致的結果,為閃速熱解反應器固相滯留時間設計和預測提供了理論依據; ( 5 )根據上述實驗結果,綜合運用工程力學、工程材料、機械設計學原理,推導、建立了轉錐式閃速熱解反應器物料滯留時間( )與轉速(或頻率)合理匹配理論; ( 6 )提出了轉錐式閃速熱解反應器的最小錐角設計、錐壁強度設計、生產能力設計理論和功率計算方法及臨界轉速理論等。This article first analyzes a paradoxical phenomenon that is predominant in campus lan settings where there is a large amount of idle cpu cycles available while at the same time the computing needs from many researchers ca n ' t be met. it proposes an idea of setting up a campus computing grid with a detailed plan for its implementation, discusses the challenges of upscaling a campus computing grid into an internet computing grid and suggests possible solutions. gram ( grid resource allocation manager ) of globus toolkit 3. 2 and relative technology on it is studied, and the solutions to extend gram to support task rescheduling and the cooperation type task are proposed. the design and implement of the gram client based on web that is the kernel part of the task anagement module are discussed, and the design of resource discovery module and task transfer module are gived
本文首先分析了校園網環境中存在大量計算資源閑置與科研人員科學計算需要得不到滿足之間的矛盾,給出了建立校園計算網格的構想及具體的設計方案,並提出了校園計算網格推廣到internet計算網格存在的問題及解決方案;研究了globustoolkit3 . 2中的資源分配管理器gram及其相關技術,並給出了擴展gram對任務再調度和協作型任務支持的解決方案;設計實現了校園計算網格中任務管理模塊的核心部分基於web的gram客戶端,並介紹了資源發現與任務遷移模塊的設計;然後在分析min - min調度演算法基礎上,借鑒qosguidedmin - min演算法的思想,並利用主機資源分類的思想,給出了在負載平衡和時間跨度都有較大改善的balance - qosguidedmin - min演算法模型的思想與實現;最後設計實現了調度演算法驗證模塊,並在此模塊上對比了改進的演算法balance - qosguidedmin - min與min - min演算法的調度性能。The automation of coal flotation has been wandering for many years in china. the production efficiency is relatively low because of the feed forward control which adds the flotation reagent based on the fine coal in feed slurry, ignoring the quantity and quality of the products. aiming at this problem, method of measuring the flotation technical parameters was studied, the slurry level meter and the slurry ash - measuring device were worked out, and the computer control system of the coal flotation was designed. the feedback control was realized by using the fuzzy logic control control technology to regulate the reagent addition and the slurry level in the flotation tank according to the concentrate ash content detectedby the coal slurry ash - measuring device developed. the industrial experiment indicates that the performance inedxes of the coal slurry ashmeasuring device have come up to the advanced levek of the world. the application of the detection and control system in huaibei coal preparation plant results in a high concentrate recovery, a decrease of the reagent consumption, ensuring a highly efficient operation
浮選自動化在我國多年來徘徊不前,一直採用根據入浮煤漿中的干煤泥量來確定加藥量的前饋控制方法,而不直接以產品的數質量指標作為控制目標,導致浮選生產效率較低.針對上述問題,研究了浮選工藝參數的檢測方法,開發了浮選漿位儀和煤漿測灰儀,設計了浮選計算機控制系統,它根據煤漿測灰儀旁線檢測的精煤灰分,運用模糊控制技術,通過調整浮選藥劑添加量和浮選機漿位,來實現浮選過程的反饋控制.工業性試驗表明,煤漿測灰儀的性能指標接近國外先進水平.煤泥浮選測控系統在淮北選煤廠的現場使用,使浮選生產在精煤灰分合格的前提下,得到了較高的產率,並降低了藥劑用量,從而保證選煤廠高效率地運行分享友人