數學展開 的英文怎麼說

And he heard their aresouns each gen other as touching birth and righteousness, young madden maintaining that put such case it were hard the wife to die for so it had fallen out a matter of some year agone with a woman of eblana in horne s house that now was trespassed out of this world and the self night next before her death all leeches and pothecaries had taken counsel of her case

彼等均為聰穎學生，乃就分娩與正義展開辯論。青年馬登強調，在此種情況24下，聽任產婦死去未免過于殘忍數載前，如今已謝世的一名艾布拉那25婦女即于霍恩產院面臨此問題。伊逝世前，全體醫師及藥劑師曾為伊會診。

Galileo strongly fought against the traditional ideas of the aristotle ' s theories, and he formed the thought of identity, continuance and dialectical materialism in course of his scientific research. he had written the book dialogue concerning the two chief world systems - ptolemaic and copernican to refute the theory that the earth was static, and push the copernicus " revolution forward by protecting and advocating the cosmic principle of copernicus ; he get many scientific theories by making a thorough study of motion, so provided the materials need of which newton was ; he applied the scientific method firstly in history of science which combined mathematical inference with experience and observation organically, and entrusted modern meaning to some old - time methods, so advanced the development of scientific knowledge greatly and began the history of modern physics

伽利略強烈反對亞里士多德式的傳統思維觀念，在長期深入的運動研究中發展了同一性和連續性思想，以及把物質性質劃分為兩類的機械唯物主義思想；他著書立說駁斥「地靜說」 ，捍衛和宣揚「地動日心」的宇宙結構，推動了「哥白尼革命」 ；他深入研究運動，獲得大量科學理論，為牛頓綜合提供了豐富的材料；他在科學史上首次使用數學演繹與觀察實驗有機結合的科學方法，並賦予一些古老研究方法以現代含義，大大推進了科學認識的發展，開創了現代物理學歷史。

According to the analysis and comparison for existing wireless data traffics, a wireless bonding mode is adopted to realize mobile ticketing. the thesis also researches the safety issue on railway wireless ticketing system and put forwards the corresponsive solution. a series of safety techniques, for example data encryption, are adopted to ensure the safety of transaction between the wireless ticketing terminal and railway ticketing system

本論文圍繞無線接入技術展開討論，通過對現有無線數據業務的分析比較，確定無線接入方式，實現移動方式的鐵路售票系統；研究鐵路無線售票系統所面臨的安全問題並提出相應的解決方案，在軟硬體結構設計中採用了一系列安全技術，並輔以科學的管理方法，使無線售票系統具備一定的安全防護能力。

In chapter 8 solutions by eigenfunction expansion to 1 - dimensional problems of mechanics and 2 - dimensional problems of theory of elasticity are researched

第八章研究1維力學和2維彈性力學問題的特徵函數展開解法。

Enlightened by how the people ' s activities divided in philosophy, the activities in the activity - teaching view was divided into the following four kinds : activity emphasizing on practice, on cognition, on a estheticism, and association activity loaded by the former three kinds of activities. the writer discusses the purpose, the content and the teaching organization in each of the former three kinds of activities, on association activity, the writer discusses the necessity to carry on it, and put forward some suggestions on organizing the association activity

第三部分新數學課程中活動教學的實施本部分主要受哲學對人類活動類型劃分的啟發，把活動教學視野中的活動劃分為側重於實踐的活動、側重於認知的活動、側重於審美的活動和以實踐、認知、審美為載體的交往活動，對前三種活動分別從活動的目的、活動的內容、活動的教學組織三個方面展開論述。而對于以實踐、認知、審美為載體的交往活動則從開展交往活動的必要性及交往活動的教學組織兩個方面展開論述。

The thesis centered on the topic. a fluid drive program of the sugarcane mill is made. it is a must to have the digital simulation study on the hydraulic system

本文圍繞研究課題，展開研究工作，制定了甘蔗壓榨機的液壓傳動系統方案，建立其數學模型，並對模型進行了靜、動態特性數字模擬研究。

Poincare ' s criticism on " the expected reason ", justification for the existence of mathematical object and opposition to the postulate of real infinite provide the developmental approach for the intuitionism in philosophy of mathematics

摘要彭加勒對邏輯主義「預期理由」的批判，對數學對象存在性的辯護和對實無窮假設的反對，都為數學哲學中直覺主義學派的發展開辟了道路。

How can one develop maths extracurricular activities to junior school students

初中數學活動課如何開展

Based on consider hereinbefore, this dissertation discusses several aspects on the problem of the sustainable and optimum exploitation of groundwater resources as follows : ( 1 ) reviewed entirely the origin and evolvement of the concept " sustainable development ", stated and commented the study status in queue on " sustainable development " around national and international range, thorough discussed the science connotation about the concept " sustainable development " ; ( 2 ) looked back and commented across - the aboard some furthest basic concept and proposition related to groundwater resources, put forward self opinions on a few existent mistake points of view and chaos understandings ; ( 3 ) expatiated entirely on the content and meaning of the theory of changeable groundwater resources system, contrast with the traditional methods of groundwater resources calculation and evaluation, combined example to show the application of this theory ; ( 4 ) thorough analyzed the difficult and complexity to forecast the groundwater resources, fully stated the traditional methods of groundwater resources forecasting, pointed out the characteristic and applying condition of these forecasting method, introduced the main ideas and methods of wavelet analysis developed recently, and the matlab software be known as the fifths era computer language, and its accessory wavelet analysis toolbox, applied these methods and tools to analyze the groundwater dynamic curve, adopted the b - j method and morte - carlo method, combined with the theory of changeable groundwater resources system, discussed the new view on the forecast of groundwater resources ; ( 5 ) synthetically analyzed the characteristics and limitations of the present all kind of groundwater manage model, combined mathematical programming mathematical statistics random process and the theory of variation system of groundwater resources on the unite optimum attempter of surface water and groundwater, emphasized how to make the model more nicety, more simple, more practicality ; ( 6 ) analyzed the inside condition and outside condition to assure the sustainable and optimum exploi tation of groundwater resources, the inside conditions are the follows : correct resources idea, scientific methods of resources calculation and evaluation, credible forecast methods of resources, exercisable measures of resources management, the outside conditions are the follows : the development idea of high layer, the transform of manage system, the matched policy and rule of law, the adjusted of economy lever, the improve of cultural diathesis, the boosting up of water - saving consciousness and detail measures, the control of population rising, the prevention and cure of water pollute, the renew and rebuild of ecology ; ( 7 ) scan the sustainable and optimum exploitation of groundwater resources from the high level of metagalaxy, earth system science, and philosophy ; lint out the more directions on groundwater resources

基於以上考慮，論文主要從以下幾方面對地下水資源可持續開發問題進行了比較深入的探討：全面回顧了「可持續發展」概念的由來與演變，對國內外「可持續發展」的研究現狀進行了述評，並對「可持續發展」概念的科學內涵進行了深入探討；對涉及地下水資源的一些最基本的概念和命題進行了全面的回顧和評述，對目前仍然存在的一些錯誤觀點和混亂認識提出了自己的見解；全面闡述了地下水資源變值系統理論的內容和意義，並與傳統的地下水資源計算評價方法進行了對比分析，結合實例具體說明了方法的應用；深入分析了地下水資源預測預報工作的極端重要性和復雜性，對傳統的地下水資源動態預測方法進行了全面的評述，指出了各類預測預報方法的特點及適用條件，對最近二十多年剛發展起來的小波分析技術的主要思想和方法及其應用范圍，以及號稱第五代計算機語言的matlab軟體和附帶的小波分析工具箱進行了介紹，並應用於地下水動態過程線的分析，採用時間序列中的b ? j法，蒙特卡羅方法，與地下水資源變值系統理論相結合，探討了地下水動態資料分析和地下水資源預測預報的新思路；綜合分析了現今各類地下水管理模型的特點及缺陷，將數學規劃、數理統計、隨機過程等與地下水變值系統理論相結合進行地表水地下水或多水源的聯合優化調度，使模型更準確、更實用；對保證地下水資源可持續開發的內部條件和外部條件進行了分析，內部河海人學博卜學位論文前言、摘要、目錄條件主要是正確的資源觀，科學的資源計算與評價方法，可靠的資源預測預報技術，可操作的資源管理措施，外部條件主要是高層發展思路、管理體制的變革、配套的政策法規、經濟杠桿的調節、人文素質的提高、節水意識的增強及具體節水措施、人口增長的控制、水體污染的防治、生態的恢復和重建等;從宇宙科學、地球系統科學及哲學的高度審視地下水資源的可持續開發;指出了地下水資源可持續開發的進一步研究方向。

The data for my thesis was collected during a collaborative action research project in which i worked with one teacher in a rural primary school of a minority poverty area in northwest china. we used methods of participant observation, in - depth interviews and object collection to trace the process of the implementation of research - based learning on the part of both the teachers and the students

本研究選擇西北少數民族貧困地區的一所農村小學，與當地的一位教師組成協同行動研究小組，運用參與式觀察、訪談、實物收集等多種方法，對教師與學生開展研究性學習活動的過程進行追蹤。

The main aspects of the research are the procreant thought of the new ivc - based - vi system, system ' s software architecture, ivc - based - vi mathematical modeling, key component of system and null - programming developing system

論文主要從新一代智能控制項化虛擬儀器產生的思想基礎、系統的軟體構架、儀器的數學建模、核心的組成單元和零編程開發系統等方面展開了深入研究。

Modeling : this thesis develops a method different from traditional techniques that begins with the cylindrical projection of a generic model and its seamless global texture map using multiresolution technique, and then automatically fit the unwrapped cylindrical projected mesh to the texture map with an improved algorithm that based on 2d morphing to specify corresponding feature points ( or lines ). finally, we propose a formula of inverse cylindrical projection to recompose the deformed mesh, and after the texture mapping a photo - realistic individual facial model is created

採用多解析度技術構造紋理無縫拼接圖，然後把三維網格模型投影到圓柱面上並展開，根據二維圖象變形技術中特徵點匹配演算法的數學思想，將匹配公式進行改進后應用於模型網格點的適配，在作了一定假設后推導出逆向圓柱映射的計算公式，再將適配后的柱面網格映射回去，最後進行紋理映射生成真實感的特定人臉的三維模型。

This paper starts the research of the liquid floated pendulous accelerometer testing system according to the engineering. at first, this paper gives the brief introduction of the history and present status of accelerometer and its testing technology, the working principium and math model of the liquid floated pendu - lous accelerometer, and then, decides the binary width pulse force retrim loop as the design proposal of testing system, researches the transfer function of every part in the system emphasizly, analyses the stability of the whole accelerometer testing system from the angle of control theoretics by the open loop transfer function of system, and designed the correcting net, analyses the basal problems such as resolution, sampling restraint, precision and so on, designs the hardware testing circuits such as preamplification, band - pass filter, alternating amplifier, phase sensitive demodulatorn, pulse - width modulation, frequency scale circuit, moment current generator. finally, using the graphics program language labv - iew which is designed for testing field especially by ni accomplishes the solfware design of testing system, realized the testing functions

首先對加速度計及其測試技術的發展歷史和現狀，液浮擺式加速度計的工作原理和數學模型等作了簡要的介紹，然後確定了以二元調寬脈沖再平衡測試迴路為設計方案，並從控制理論的角度進行了分析，著重研究了系統中各部分的傳遞函數，利用系統開環傳遞函數分析了系統的穩定性，同時設計了系統的校正網路;分析了二元調寬脈沖再平衡測試迴路的解析度、采樣約束以及測試精度等基本問題，並按照系統分析的結果設計了包括前置放大、帶通濾波、交流放大、相敏解調、脈寬調制、頻標電路以及力矩電流發生器等測試系統各部分硬體電路，驗證了電路的正確性，最後按照測試系統的要求，採用了美國ni公司專為測試領域所開發的虛擬儀器工具? ? labview作為測試軟體開發工具，利用該圖形化編程語言完成了測試系統軟體部分的設計，實現了測試功能。

The third part studies the actual questions of our e - government, and thinks there are 5 aspects of problem in the area : the people ' s ideas is the key to the problem, which is the largest resistance to build the e - government ; the old administrative system ca n ' t adapt the e - government ; it ' s serious to the " digital gap " question ; the information professional is scarce in the government ; the related laws and rules, especially the open information systems are imperfect, in face of the five problems, i bring forward the six countermeasures : the government should strengthen to educate the government employee on the related knowledge ; strongly push on reinventing government ; the " e - government " should be strugglingly developed ; resolve the " digital gap " question ; establish and perfect the correlative laws and rules ; try hard to settle the question of net safety

在論文的第三部分，我著重對我國電子政府目前的問題進行了提煉、分析，認為存在著五大方面，分別是：關鍵是人的思想觀念跟不上，成為電子政府建設的最大阻力；原有的行政體制不適應電子政府的發展； 「數學鴻溝（ digitalgap ） 」問題嚴重；信息人才短缺；相關法律法規不完善、信息公開的制度保證不足。針對這五個方面，我提出了六點解決對策，分別是：大力加強對公務員的培訓和教育；強力推進政府再造：電子政務要大力發展；解決數字鴻溝問題，加大「兩軟一硬」投入；建立健全相關的法律、法規；努力解決好網路安全問題。

The paper presents several aspects in partition rectification and visualization of raster image. adopt technology of visualization for scientific calculation, vector diagram of deformation 、 contour chart of deformation and drawing of three - dimensional are realized. delaunay tin in view of deformation feature is constructed on base of selected grid control points and methods and mathematical models for partition rectification are realized based on the delaunay tin. software of geometric rectification for large scales are realized and applied in project

本論文針對柵格影像的變形可視化及分塊糾正展開研究，取得了以下幾方面的研究成果：一、採用科學計算可視化技術，繪制變形矢量圖、變形等值線圖和三維效果圖，實現了柵格影像變形特徵的可視化；二、提出了在格網控制點（ gcp ）數據基礎上選擇性構造顧及變形特徵的delaunay三角網，並基於構造的三角網實現了分塊糾正的方法和數學模型；三、採用vc編制了影像幾何糾正軟體，實現大比例尺掃描地形圖的糾正，並在工程中得到應用。

Under the direction of the sciences of auditorium acoustics, the paper researches on the auditorium acoustics of the digital conference hall. on the basis of analysising the theory background, the paper researches on the practical construction project. the basic task of is to study the physical conditions of interior acoustic wave transmission and acoustic processing method approach to ensure a good indoor heard

本文以廳堂音質的相關理論為指導，以數字會議廳堂為主要研究目標，以會議廳堂音質設計為主要研究內容，在總結了會議廳聲學設計中各個基本概念及廳堂音質設計的基礎上，對現代數字會議廳堂的音質展開深入的研究，並理論結合實際，對具體的工程項目進行廳堂音質設計與研究。

This paper is an academic thesis about remote sensing information model and geographical mathematics. the author have studied a lot of remote sensing information models and geographical image information models. according to geographical regularity the author advance non - linear mathematics method which is geographical complex phenomena both of certainty and uncertainty to combine in an equation. that is from formal logic inferring to dialectical logic calculation. moreover, it is from abstract thinking to both of abstract and visualized thinking, which is image joining equation calculated. make a suggestion that the geographical parameters are different from the physics variables. thus initiate based on geographical science for mathematics. there are 4 parts as follows in this paper : the regularity of geographical phenomena ; general equation of remote sensing information model ; geographical parameters and geographical indexes ; significance of geographical image information models

從大量的遙感信息模型，地理圖像信息模型的實踐中，提出符合地理科學自身規律的非線性數學方法，解決了確定性與不確定性結合的宏觀復雜性問題。從形式邏輯推理發展到辯證邏輯的計算，從抽象公式的計算發展到抽象思維與形象思維結合的公式與圖像結合的計算。提出了物理變量與地理參數的區別，從而開創了以地理科學為背景的數學研究，進而為發展地理數學奠定了基礎。

So target teaching in maths and its evaluation embody the potential developing function in the modem education. this article makes a deep research into the reason and theory of the target teaching and its evaluation, and sets up the classific system about aim teaching ( cognitive aim, intelligence and ability aim, emotional aim ) and its evaluation ( affection process, cognitive process and teaching process ), and evaluation structure ( formation evaluation, diagnosis evaluation and final evaluation ). this research paper also analyses the characteristics of target teaching in maths and its evaluation, and probe into the specific implements and operations about them

本文對為什麼要開展數學目標教學及其評價的研究和開展數學目標教學及其評價研究的理論依據進行了探討；建立了數學目標教學的分類體系（認知目標、智能目標、情感目標）及數學目標教學的評價維度（情意過程、認知過程、施教過程） 、評價結構（形成性評價、診斷性評價、終結性評價） 、評價模式（目標探究課型、目標應用課型、目標系統課型、目標深化課型） ；分析了數學目標教學及其評價的特點；對數學目標教學及其評價的實施和操作進行了探索；文後附有應用數學目標教學及其評價進行教學的案例。

The dissertation has summarized the historical experience of our army competitions on wide research, analyzed roundly the requirement of the “ two competitions ” comprehensive evaluation system. it has been according as the “ compendia of construction in military grassroots ”, based on the modern mathematics and model method, been supported by the information technology and synthetically applied much method such as delphi, ahp, fuzzy, metasynthesis, wsr, etc. and also, taken the characteristic and the practical experience of the “ two competitions ” into account, the dissertation has discussed the functional structure and comprehensive evaluation index system, and also constructed the comprehensive evaluation model with the fuzzy mathematics. the dissertation has conceived firstly to put the “ two competitions ” into computer operation system

本文在廣泛調查研究，總結我軍開展爭先創優活動的歷史經驗的基礎上，全面分析了「雙爭」活動對綜合評估系統的需求，以《軍隊基層建設綱要》為依據，以現代數學理論和建模方法為基礎，以信息技術為支撐，綜合運用德爾斐（ delphi ） 、層次分析（ ahp ） 、模糊數學（ fuzzy ） 、綜合集成（ metasynthesis ） 、物理-事理-人理（ wsr ）等方法，同時結合「雙爭」評比自身的特點和實踐經驗，探討了系統功能結構的設計思路和綜合評估指標的構建方法，並運用模糊數學理論構建了「雙爭」模糊綜合評估模型。

This paper begin with the concept system and system simulation, treat the landing gear as a system, use the concept of system simulation to establish the mathematical models of the landing gear, and to begin the simulation research

起落架軟體平臺的開發和應用在我國有著廣闊的發展前景。本文的目地是以系統模擬的概念入手，將起落架緩沖系統進行動力學的數學建模和模擬建模。