數學歸納法 的英文怎麼說

中文拼音 [shǔxuéguīnàfǎ]
數學歸納法 英文
complele induction
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 學 : Ⅰ動詞1 （學習） study; learn 2 （模仿） imitate; mimic Ⅱ名詞1 （學問） learning; knowledge 2 （學...
  • 歸 : Ⅰ動詞1 （返回） return; go back to 2 （還給; 歸還） return sth to; give back to 3 （趨向或集中於...
  • 納 : Ⅰ動詞1 （收進來; 放進來） receive; admit 2 （接受） accept; take in 3 （享受） enjoy; take deligh...
  • 法 : Ⅰ名詞1 （由國家制定或認可的行為規則的總稱） law 2 （方法; 方式） way; method; mode; means 3 （標...
  • 數學 : mathematics
  1. In summary the major research work in this thesis can be drawn as follows : 1. the techncal data and research information from woridwide aviation history about bird striking to airframe have been collected and reviewed more carefully the evolutions of bird striking load models and fem numerical compatation methods to bird strike also have been sununarized. this informational research makes great help to position further thesis work scientifically 2

    本文研究工作可歸納總結為以下三個方面： 1 、較全面整理綜述了鳥體撞擊飛機結構在國內外航空史上的技術資料以及鳥撞問題理論與工程研究的歷史沿革，總結了撞擊載荷研究模型、有限元數值計算方法的發展歷程等，明確了本文研究工作的科學定位。
  2. The scielltific computational theories and methods on bird strike to the windshield of aircraft have been systematically studied and summed up in this thesis, such as fem comptltational principles and procedures to elastic dynamic problems under the conditions of small and non - linear finite deformation, 3d viscous elastic constitutive theory and incremelltal expression under the consideration of the rate effect of non - metallic materials like the aircraft windshield, and the numerical compatational principles and key constitutions for impact - contact dynamic subjects

    2 、系統學習並歸納總結了鳥體撞擊風擋結構問題中的科學計算理論與計算方法。按照鳥撞問題數值計算方法逐步深入的思路，系統總結了小變形結構動力學有限元數值計算方法、有限變形的幾何非線性有限元數值計算方法、粘彈性體非線性形變的本構物理關系；對于實施復雜結構有限元動力學計算的載荷增量方法提出了對newmark差分的改進以及進行材料與幾何非線性數值計算的細致步驟。
  3. Using paralled mathematic induction method ， it proved that maximum plane graph with any degree which is contructed by way of " adding point within plane " or " adding point at the edge " is 4 - colorable

    運用「并行（或平行）數學歸納法」證明了由「面內加點」或「邊上加點」方法所構造的任意階極大平面圖是可四著色的。
  4. By using the yearly data of water - sand that is gotten by a couple of adjacent hydrologic station in yellow river lower reaches, this paper makes use of kinds of math methods looking for the nonlinear disturbance among all of the factors, and introduces the thinking of analysis, logic, conclusion, inference, and random to nonlinear hydrologic forecasting. it realizes the valid approximation of the water level process in erodible - bed channel

    本文選擇黃河下游兩對相鄰水文站多年水沙資料，藉助多種數學方法尋找其中的非線性擾動項，將隨機數學中分析、邏輯、歸納、演繹、隨機的思考問題方式引入到非線性水文預報中，實現沖淤河道相應水位過程的有效擬合。
  5. Inclusion and exclusion principle proved with mathematical induction

    一般容斥原理的數學歸納法證明
  6. Abstract : events contributing to the establishment of statistics the science of data and its chemical branch are epitomized. as the new chemical branch named chemometrics or chemstatistics has been disputed in the circles of chemistry for a long time, reasons for adopting chemstatistics are given, which is defined as the science of gathering or generating, describing, summarizing and interpreting the data concerned to acquire new chemical knowledge or information. the fact that many traditional statistical methods, such as significance tests, analysis of variance, regression and correlation, and some others not usually considered statistical, such as model building, monte carlo method, fourier transformation, artificial nerval networks and pattern recognition, each contains one or more of the five connotations of statistics is expounded. the regular pattern that a chemstatistician grows up is approached. the urgent task is to include chemstatistics in the undergraduate or graduate curriculum of chemistry specialty. the goal of the project is to nurture chemists who know statistics

    文摘:本文追溯了統計學發展、建立中的大事，陳述了它的定義及其化學分支發展、建立的梗概；鑒于化學界對該新興化學分支學科的名稱長期存在爭議，提出了以化學統計學而不以化學計量學為該學科名稱的理由，把化學統計學定義為一個研究有關數據的收集或產生、描述、分析、綜合和解釋，以獲得新化學知識或信息的學科；闡明了許多公認屬于統計學的方法，如顯著性檢驗、方差分析、回歸和相關，以及一些尚未認定屬于統計學的方法，如模型建立、蒙特卡羅方法、傅立葉變換和人工神經網路，都含有統計學5個內涵中的一個或多個；探討了化學統計學家成長的模式，認為當務之急是把化學統計學納入化學專業的教學計劃，以培養懂統計學的化學家。
  7. Quantum mechanics is such a rain forest of a theory, filled with indescribably weird animals and endlessly explorable backwaters, that seeking to reduce it to classical physics seems like trying to grow the amazon from a rock garden

    量子力學就像是一座雨林，充滿無法形諸筆墨的珍奇動物以及無數有待探索的偏僻水域，要將它歸納入古典物理之中，就好比試圖在一座光禿禿的巖石公園中種植出亞馬遜森林。
  8. During the procedure of system design and implementation, the author has made some innovative efforts such as : ( d establishing the user interest orientated model, the model receiving user interests continuously and conjecturing user interests by interaction with the user, accumulating user preferences in information demand, thereby achieving self - adaptive retrieval, ? roviding a feedback method which is based on the human - machine interaction, summarizing the user operations on the interface of result presentation, and designing an algorithm for capturing user operation behaviors, by which the changes in user interests and preferences can be learned potentially, ? ffering a method for user interest mining which can extract subjects of information confirmed by user, thereby conjecturing or predicting different kinds of expressions of the same interest or extracting the new interests or unexpressed interests, ? roposing a solution of personalized internet information retrieval based on the user interests in accordance with the above - mentioned work, the solution having very strong feasibility and practicality with taking user interest model as center, employing machine learning ( active learning and passive learning ) and data mining as tools, and being assisted with network robot,

    Piirs系統分析與設計過程中所做的創新性的嘗試主要有以下幾個方面：實現了基於用戶興趣的用戶模型，該模型通過與用戶的交互（主動交互和被動交互） ，不斷地接收用戶的興趣和推測用戶的興趣，積累用戶信息需求的偏好，實現自適應的檢索；提供了一種基於人機交互的反饋方法，對用戶在結果呈現界面上的操作進行了歸納總結，設計了用戶操作捕獲演算法， 「隱性地」學習用戶興趣和偏好的變化；提供了一種用戶需求挖掘的方法，對用戶已確定的信息做進一步的主題挖掘，由此推測或預測用戶同一興趣的不同表述方式或者挖掘出用戶新的或未表達出來的興趣；在上述工作基礎上提出了一套完整的基於用戶興趣的個性化網路信息檢索的解決方案，該方案以用戶興趣模型為中心，以機器學習（主動學習和被動學習）和數據挖掘為手段，輔以網路機器人，具有很強的可行性和實用性。
  9. In this thesis hydraulic experimental studies and theoretical analyses on the vortex - flow drop shaft were conduced and the following results were accomplished : ( 1 ) in the model test some hydraulic characteristics including the shape of air core in the center of the drop shaft, the radial distribution of water flow velocity and the distribution of pressure on the wall of the drop shaft were measured under the condition of high water head above 250m and large discharge above 1400m3 / s. ( 2 ) a kind of computational method for the spiral water flow in the air core region of drop shaft was discussed and applied and the results agree the experimental data well. ( 3 ) the total ratio of energy dissipation in the drop shaft can reach 90 % and the energy dissipation in every region was discussed quantitatively

    本文通過試驗研究與理論分析對旋流式豎井泄洪洞應用於高水頭、大泄流量情況時存在的一些水力學問題進行了研究和探討，取得以下主要成果：一、結合小灣工程導流洞改建，對高水頭（ 252m ） 、大泄流量（ 1400m ~ 3 s ）條件下旋流式豎井中的水流運動特徵進行了比較全面的測量，包括空腔形態、徑向流速分佈及井壁壓強等；二、提出了豎井空腔段螺旋水流水力計算方法，其計算結果與實測值吻合良好；三、利用試驗與計算結果，對旋流式豎井的消能機理進行了探討，對豎井各部分的消能能力有了總體認識；四、對豎井下部消力井的合理井深進行了優化試驗研究，發現消力井合理深度為0 . 9d左右；五、通過試驗研究，歸納出豎井水流總摻氣量估算方法，為導流洞排氣方案的設計提供了參考依據；六、在高水頭、大流量條件下，豎井空腔段下部流速很高，盡管水流螺旋運動引起的離心力可以確保井壁壓強保持正壓，但空化數依然較低，因此豎井的空化空蝕始終是工程界關注的重大問題。
  10. This paper explores the internal laws between such port production elements as the harbor tugs " disposition, the port " s production throughput and the number and time of the arrived ships ; under the framework of " the development project of qingdao harbor in five years " by qingdao government ; through collecting large amounts of statistic data ; under the premise of scientific induction, arrangement and calculation to all of the port " s production elements which affect the regular harbor tugs " disposition, especially under the premise of much statistic analysis to the arrived ships ; on the basis of the overall analysis to the qingdao harbor " s production from 1999 to 2000 ; through the analysis to the present disposition scale of the harbor tugs and the port " s production and management. additionally it predicts the change of the port " s production elements according to the total object of the port " s development in order to work out a relatively scientific calculation method for disposing the harbor tugs scientifically as well as decreasing blindness in disposing the harbor tugs, and also make the disposition scale of the harbor tugs scientific and reasonable with each passing day so as to answer the demands of the port " s production and management along with it " s development

    本文是在青島市政府關于《青島港未來五年發展規劃》的框架下，通過搜集大量的統計資料，在對青島港1999年至2000年生產全面分析的基礎上，對影響港作拖輪規模配置的港口生產各要素進行科學的歸納、整理、計算，特別是在對到港船舶的大量統計分析的前提下，通過對目前港作拖輪的配置規模與港口生產經營情況的分析，探索港作拖輪的配置與港口生產的吞吐量、到港船舶艘次數等港口生產要素間內在的規律，並根據港口發展規劃的總體目標預測未來港口生產各要素的變化情況，以期能為各港口科學合理地配置港作拖輪、減少配置港作拖輪中的盲目性提出較為科學的計算方法，使港作拖輪的配置規模日趨科學、合理，滿足港口生產經營及未來發展的需要。
  11. Through the approach of investigative questionnaire and ability examination, considering both teachers " teaching practice in senior high school and students " need in analyzing and resolving problem, taking the method of fixing the quality and quantity, we make a demonstration research. at last, we draw a conclusion that the 19 manifestations of chemistry ability can be reduced to three levels : the basal level, called repeating thinking, includes distinguishing and judging the chemical fact and relations of quantity in chemical reaction, comparing and summarizing the chemistry fundamental knowledge ; innovative thinking level includes illogical thinking and logical thinking. illogical thinking mainly contains intuition, association and space imagination of micro - particle

    通過調查問卷、能力測試等途徑，結合教師在中學化學的教學實踐和學生在分析、解決問題的實際需要，採用定性與定量結合的方法，進行實證研究，得出結論：化學學科能力的19種表現形式歸納為3個層次：最基礎的再造性思維能力層次包括對化學事實和化學反應中量的關系的識別和判斷、對化學基礎知識的比較概括；以培養創新能力為核心的創造性思維層次包括化學直覺思維、聯想、對微觀粒子的空間想象為主的非邏輯思維和靈活運用已學的化學知識通過分析、綜合地解決問題為主的邏輯思維；化學實驗能力層次是化學學科能力的最高層次，它以思維能力為基礎，集中體現了化學教學的基本特徵，實驗能力層次包括：選用實驗方法和設計實驗方案，對實驗的評價，研究和處理實驗事實、資料、數據，發現規律，表達實驗及其結果，最終解決問題的能力和發散思維。
  12. Therefore, based or a great number of literature reviews, this paper employs questionnaires, on - the spot interview, mathematical statistic approach and logical deductive approach, etc to have a research on the health education of the key middle schools in shandong province. here, the author draws the following tentative conclusions : 1. in shandong province, the health education has n ' t been paid much attention to yet, few schools have set the leading office for health education and the leading personnel have less authority

    為此，本文從調查山東省重點中學的健康教育現狀的入手，在佔有大量文獻資料的馴上，採用問卷調查法、專家訪談法、數理統計法、邏輯歸納法等多種研究方法，對山東省重點中學健康教育進行研究，初步得出以下結論： 1 、山東省重點中學的健康教育尚禾得到克分重視，設有健康教育領導機構的學校較少，領導機構成員的權威不高。
  13. This thesis, taking the library of liaoning institute of technology as the main studying part, using lots of theoretic argumentation, practical research and getting rich theories and experiences from former talents and aiming at the library ' s many problems, such as a lack of centralized ism system, no healthy technological system of ism, information talents " not adapting to the requirements of ism, information culture ' s lag, the neglect to team construction, using the analyzing ways of nature determining, quality fixing, direction deciding, documents, summing up and examples, discusses about the countermeasure of solving the above problems at several aspects : how to create the inner environment of information source ' s innovation and development ; how to perfect the encouraging system of information talents and how to perfect information talents " technological system

    本文以遼寧工學院圖書館為研究主體，在經過大量的理論論證和實地調研，汲取前輩豐富的理論與實踐經驗后，針對該館實際工作中信息資源匱乏、缺乏信息資源集中管理機制、信息資源管理技術應用緩慢、工作人員不適應信息資源管理要求等諸多問題，運用例證法、定性法、文獻法、歸納法、實際案例法等研究分析方法，在如何營造創新與發展的信息資源管理環境、如何完善信息人才的激勵機制、如何建立數字化信息服務技術體系等方面探討了解決問題的對策，最後提出將探討的對策運用到遼寧工學院圖書館的信息資源管理工作中的實施方案。
  14. This article gives a description of cauchy inequality under the restricted condition of the variables ad proves it through mathematical induction, and at the same time presents some instructive results

    摘要本文介紹了在變量限制條件下的柯西不等式，同時用數學歸納法予以證明之，順便給出了一些有意義的結果。
  15. The general density function of sum of indepentent random variable of uniform distribution on [ 0, 1 ] is listed by enumerating a few special cases, where the mathematical inductive method is used

    摘要通過簡單枚舉一些特例，列出服從均勻分佈的多個獨立隨機變量和的密度函數一般公式，然後用數學歸納法進行嚴格的證明。
  16. The fourth chapter outlines mathematic thinking method ' s meaning, explores a little understanding of mathematic thinking method ' s process teaching, and commentates its merits by the examples of " the teaching of mathematic inductive method " and " the teaching of intersection "

    第四章簡述了數學思想方法的含義，探討了對數學思想方法進行過程教學的若干認識，並以「數學歸納法的教學」 、 「交集的教學」為例闡述了對數學思想方法進行過程教學的好處。
  17. It mainly discussed the new ideas the teachers should have, the principles during teaching designing, at the same time, it gave out a new kind of instructional design pattern. at last, it gave out a class of teaching about mathematical induction based on these theories of constructivism and teaching deign

    主要闡述了建構主義理論下數學課堂教學設計中教師應具備的新意識，教學設計應遵循的原則和在建構主義指導下數學課堂教學設計基本模式，最後以「數學歸納法」一節為例，給出一個以上述理論為指導的數學課堂教學設計的案例。
  18. Newton ' s thoughts for scientific research are important to the development of modem science, the principal of newton ' s thoughts for scientific research is the laws for judgment, inductive - deductive method, and the combination of mathematics and model, to know these thoughts is significant to modem scientific research

    摘要牛頓的科學研究思想對近現代的科學發展起著十分重要的作用，他的科學研究思想主要是推理法則、歸納法與演繹法結合以及模型與數學相結合的思想，了解這些思想對現在的科學研究仍然有著極其重要的意義。
  19. Mathematician : 3 is a prime, 5 is a prime, 7 is a prime, and by induction - every odd integer higher than 2 is a prime

    數學家： 3是個質數， 5是個質數， 7是個質數，根據歸納法，所有比2大的奇數都是質數。
  20. The paper is based on the project of " the research of mathematics and computer frequency dynamic simulation theory on knobs not result ". the research content is object to the image of log knobs by vidicon getting to detect the shape of log knobs according to the method of video disposal. the paper apply digital image processing technology to log knobs image to swell and detect borders, then distill the surface shape and characteristic parameter of knobs. the thesis depict the knobs three - dimensional models, build the mathematics models of log knobs and simulation two - dimensional image curve of the log knobs primary section which has been discerned, thereby achieve our researching aim to reappear the knobs image on computer

    本論文是國家自然科學基金資助項目「節子ndt結果的數學描述與視頻動態模擬理論的研究」的基礎研究之一，論文的研究內容是通過視頻處理的方法檢測原木表面節子的形狀，以攝像機採集的原木表面節子圖像為對象，運用數字圖像處理技術對節子圖像進行修正、增強、邊緣檢測等處理，提取節子的形狀特徵參數，並運用數學的方法，歸納總結其規律，應用數學的方法對節子的二維模型進行描述，建立原木節子的數學模型，對識別出的原木節子主截面的三維圖像曲線進行擬合處理，從而在計算機上實現節子的分佈與形態的再現，達到研究節子的空間形態和分佈規律的目的。
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