集合數學 的英文怎麼說
中文拼音 [jígěshǔxué]
集合數學
英文
set- 集 : gatherassemblecollect
- 合 : 合量詞(容量單位) ge, a unit of dry measure for grain (=1 decilitre)
- 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...
- 集合 : 1 (聚集) gather; assemble; muster; call together 2 [數學] [自動化] [計算機] assemblage; set; co...
- 數學 : mathematics
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Because they are fascinated by mathematics, logic, and science and have taken on the rational madness of their scientific confreres, we read much these days about information theory and its relation to the psychology and composition of music ; about statistical probabilities, stochastics, and the markoff chain and their compositional possibilities, about group and set theory as applied to serial music ; about aleatory and indeterminacy and entropy
因為他們迷於數學,邏輯,與科學,將理智狂當成他們科學同伴;我們最近讀了很多,關于資訊理論及其與心理學及與作曲的關系;關于統計或然率,隨機,及馬可夫?及其譜曲可行性;關于群組與集合理論之應用於系列音樂;關于偶發性,不確定性,與熵The competition among those species like s. tsinyunensis, dryopteris erythrosora and veronicastrum stenostachyum etc., is intense in the communities, which may be one of the reasons why s. tsinyunensis is going to be endangered and with a very restricted distribution. the distribution patterns of the seven populations of s. tsinyunensis are clumped among the eight populations we studied, except population v of random distribution. the spatial pattern of 6 populations of s. tsinyunensis have high consistency with the negative binominal distribution, while another 2 populations, i. e., i and iii are poisson distributions
6 )縉雲黃芩各種群空間分佈格局基本呈聚集分佈,其中7個種群的分佈格局類型是聚集分佈,其聚集強度較高,另有一個種群為隨機分佈;其種群的離散分佈擬合結果也嚴格符合一定的數學模式,其中負二項分佈、 poisson分佈分別是該物種種群空間分佈的理論分佈模式,其中6個種群擬合出的結果是負二項分佈,種群i和種群m擬合出的結果是poisson分佈。We hold that the integrate effect consists of two parts : 1 + 1 > 2 and a + b = c, in terms of math : here x1, x2, . . . , xn : integrate units s : functions of new system what features an integrated system are subjective initiative, non - linear function, dynamic connection, sub - system uncertainty, selective competition. the basic factors of integration are integrate context, integrate units, integrate interface and environment, which form the integration condition respectively the basic integrate patterns covers point - to - point, pipeline and hub
首先,深入探討了集成的內涵,即集成是指為了實現某一目標,在一定的集成環境中,若干集成單元動態地集合成一個泛邊界狀態的有機整體的過程,指出集成效應的數學解釋除了1 + 1 2外,還應該包括: a + b = c ,即若以x _ 1 , x _ 2 , … … , x _ n代表集成單元, s代表集成后新系統的總功能,那麼其特徵有:主體行為性、功能非線性、關系動態性、單元泛化性、選擇競爭性;集成的基本要素包括集成背景、集成單元、集成界面和集成環境等四要素;基本模式有點到點模式、管線型模式和集線器型模式;基本條件有集成背景條件、集成單元條件、集成界面條件和集成環境條件。Second, the starting and stopping behaviors under disturbed condition are analyzed and calculated by using the dynamic concentrative parameter model, which gives some advice to better prescribe refrigeration system and set theoretic foundation for carrying out automatic control of refrigeration system. third, the normal running process is analyzed and calculated by means of rational matching theory, which gives some advice on how to better understand the parameter change under steady state and the affection of inlet - parameter on evaporator. fourth, the simulation software with dynamic characteristic is designed, which can be applied to calculate thernio - parameter of cryogen, air humidity and frost thickness under different initial and boundary conditions, and to carry out dynamic simulation under conditions of dryness, wetness and frostiness, at the same time, to achieve detection and simulation at any stage from starting to stopping
本文的主要內容如下: 1 )對翅片管蒸發器結構特點進行分析,選取適當的微元控制體,就干、濕和霜工況下對每個微元分別進行傳熱傳質分析,基於經驗關系式確定霜的有關參數,對于霜工況下的霜生長建立模型,經適當假設,運用質量守恆、能量守恆和動量守恆方程建立適合動態模擬的蒸發器數學模型,為系統模擬奠定基礎; 2 )對蒸發在大擾動下的開、停機過程,運用動態集中參數模型進行分析和計算,為更好地描述製冷系統運行的全過程奠定基礎,同時也為製冷系統實現自動控制提供一定的理論基礎; 3 )對蒸發器正常運行過程,運用動態分佈參數和參數間定量耦合的觀點來分析和計算,為更好地了解穩態工況下各點參數的變化情況及各入口參數對蒸發器動態特性的影響即蒸發器性能對各參數變化的敏感性; 4 )編寫翅片管蒸發器動態特性模擬計算程序,可以計算不同邊界條件和初始條件下的製冷劑熱力參數、空氣溫濕度和霜厚度分佈場,實現對翅片管蒸發器在干、濕和霜工況下的動態模擬。At first, this paper analyzes the factors of water - sand influencing water level of yellow river and the feasibility just using the factors of water - sand to study water level, and collects the corresponding data ; secondly, because there are strong nonlinear relation in the corresponding data, by meticulous theory analysis, this paper integrates basic nonlinear analysis method, theory of random analysis, method of least squares and so on. it puts forward a method which can get the high accuracy simulation of the data, perfects the multi - factor analysis of variable ( over three factors ) of the statistic ; thirdly, it applies the method to the approximation of corresponding water level process which belong to the capacity of sand of middle - high and middle - low, and get the high - accuracy simulation about the typical nonlinear relation ; at last, this paper definitudes the main influence mode that the capacity of sand. it mainly unite with other factors to work on the water level in the yellow river lower reaches ; mor eover, this paper analyzes the difficult point and the direction of improvement to realize the accuracy forecasting of the flood level of erodible - bed channel
首先,系統分析了影響黃河水位的水沙因素,及僅用水沙因素有效研究水位的可行性,並按變量對應思想採集它們的相應數據;其次,由於相應水位過程數據中含極強的非線性關系,本論文經細致的理論分析,將基本的非線性分析方法、統計建模方法、隨機分析理論、最小均方誤差原則等等數學理論及方法有機揉合,提出了能有效實現這類數據高精度擬合的分層篩選法,並改進了統計學中多因子(三個以上)方差分析法;再次,將這一方法用於黃河中高及中低含沙類洪水相應水位過程的擬合,實現了這一典型非線性關系的高精度擬合,各年汛期上下游相應洪水位過程的擬合誤差都較小;最後,明確黃河下游含沙量對水位的主要影響方式,即含沙量主要是與其它因素聯合對水位作用;另外分析了要實現變動河床洪水位過程準確預報的困難所在及改進方向。A suitable assessment method for second - hand machinery was established based on multi - indicatrix of unified assessment method in this paper. evidence theory was used to define index - system for second - hand machinery and succeeded in fusing different experts " opinions impersonally in order to lessen the risks in the paper. pair - set theory, a new method was introduced to confirm relative criterions by quantitative analyses
集對分析是一門新興的聯系數學分析方法,文中引入該方法成功地解決了相對標準選擇缺乏定量方法的問題,使其克服了設備估價中參照物選擇依賴決策者個人意志的缺陷,按照聯系數學分析思想代替個人的主觀判斷,簡便適用,很適合在實踐中使用。This expression model was formally described in mathematical language to make it readily manipulated by computers through using the polychromatic sets
利用多色集合理論對這種故障表示模型進行數學形式的統一描述,使之便於計算機的表達和操作。Shortwave channel is time varying transmission channel. it has dispersion in frequency and time domains. this characteristics hinds the data transmi - ssion at high speed and the correction of received data. in this dissertation i have analyzed the statistic characteristic of shortwa - ve channel, established the model of shortwave channel and simulated the rayl eigh fading distribution. the technology of spreading spetrum has been proved that it has the capability for anti - multipath and discerning multipath
在短波通信中,由於通道的時間色散和頻率色散,引起多徑展寬和多徑衰落,前者限制了數據的傳輸速率,後者造成短波數據通信中出現突發錯誤,為了解決多徑效應對短波通信的影響,本文所做工作如下:首先詳細分析了短波通道的統計特性,建立其數學模型;其次分析了擴頻通信的特點,從理論上證明擴頻技術不僅具有抗多徑干擾能力,而且具有分離多徑的能力;介紹了傳統的rake分集合併技術的特點。Rs theory was proposed by pawlak in 1982. the focus of rs theory is on the ambiguity caused by limited discernibility of objects in domain of discourse. fuzzy set theory was proposed by zadeh in 1965 and hinges on the notion of a membership function on the domain of discourse, assigning to each object a grade of belongingness in order to represent an imprecise concept. the combination of fuzzy sets and rough sets are a new study and is very value in fact
粗糙集理論是波蘭數學家z . pawlak於1982年提出來的兩種處理不確定和不精確數據的理論,是通過等價關系來研究對象之間的不可分辨關系;模糊集理論是美國控制論專家zadeh於1965年提出的一種處理非精確的現象的數學工具,是利用集合的特徵函數來處理邊界的不可定義性,在模糊集合中並沒有應用對象之間不可分辨性的概念。Then the article analyses the effecting elements about the economic result of blasting and puts forward some improving measures, and summarizes optimizing model on economic result of blasting both internal and overseas bearing upon. the theory is based on the blasting cost model, which proposed by dr. zhong hanrong. combining with the specialties of water and electricity engineering, starting off through blasting result, it emphasizing considers drilling cost, deep hole bench blasting cost, reblasting cost, and the cost of bottom fleet hole blasting that in mixed loading emulsion explosive blasting
本文在加拿大鐘漢榮博士提出的爆破成本模型基礎上,結合水電工程的特點,從爆破效果出發,著重考慮了應用混裝乳化炸藥爆破的鉆孔成本、深孔梯段爆破成本、二次爆破成本和爆破后根底淺孔爆破成本,以塊度、振動、安全為約束條件,以這四項成本最小為目標函數,廣泛收集各種爆破經濟技術條件,建立了爆破優化經濟數學模型。This paper sets up a fuzzy optimum math - model of the prestressed degree for prestressing bundle disposition of prestressed concrete continuous beam bridges, which is transformed into a clear math program by - level cut - set. by the solution of the clear math program, a succession of reasonable prestressing moments can be obtained. then it is convenient to dispose the prestressing system by only taking account of geometric factors of all controlling sections. based on this, a theory of automatic disposition of the prestressing bundles is proposed and an engineering example is given to demonstrate it
建立預應力混凝土連續梁橋預應力度的模糊優化問題,按-水平截集解法,將模糊優化問題轉化為確定性的數學規劃問題.求得一較合理的消壓彎矩后,只需按控制截面的構造進行預應力體系設計.在此基礎上提出了配束自動化的基本思想,並以一實例說明其理論應用Abstract : this paper sets up a fuzzy optimum math - model of the prestressed degree for prestressing bundle disposition of prestressed concrete continuous beam bridges, which is transformed into a clear math program by - level cut - set. by the solution of the clear math program, a succession of reasonable prestressing moments can be obtained. then it is convenient to dispose the prestressing system by only taking account of geometric factors of all controlling sections. based on this, a theory of automatic disposition of the prestressing bundles is proposed and an engineering example is given to demonstrate it
文摘:建立預應力混凝土連續梁橋預應力度的模糊優化問題,按-水平截集解法,將模糊優化問題轉化為確定性的數學規劃問題.求得一較合理的消壓彎矩后,只需按控制截面的構造進行預應力體系設計.在此基礎上提出了配束自動化的基本思想,並以一實例說明其理論應用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。His areas of specialization cover the development and application of intelligent spatial decision support systems, spatial optimization, fuzzy sets and logic for spatial analysis, geocomputation, spatial data mining and knowledge discovery
他的專門研究范圍包括智能空間決策支援系統、空間優化、空間分析的模糊集合及邏輯、地理計算學、空間數據發掘及知識發現。Of xml nodes ; a grove is a collection of trees in computer science terms, a directed acyclic graph, and xslt is an example of a host language for xpath that takes advantage of this distinction to allow xpath to process the contents of multiple source documents courtesy of the xslt
,林是樹(在計算機科學中指的是有向無環圖)的集合, xslt是一種xpath宿主語言,它利用了這一差別來允許xpath處理多個源文檔的內容(得益於xslt函數On this base, a more precise volume model of concrete is established and one conception of dry mortar volume is brought forward. at the same time the author absorbed the concept of the best ratio between paste and aggregates and used mathematical method to induce the formulas of water content and ratio between fine aggregate and coarse aggregate in concrete : ratio between fine aggregate and coarse aggregate : if the two formulas are connected with the classical rule of water cementitious materials ratio ( bolmy formula ), the contents of all materials in concrete can be determined completely by calculation and overall calculation proportioning is realized
在此基礎上建立了普遍適用的更精確的混凝土體積模型,提出了「干砂漿體積」概念,同時吸收國外關于最佳漿集比概念,用數學方法推導建立了混凝土用水量和砂率的計算公式:用水量公式:砂率公式:這兩個公式結合傳統的水膠比定則(保羅米公式) ,即可全面定量地確定混凝土的所有組成材料的用量,實現混凝土的全計算配合比設計。Facing the information age, the marine environmental information systems should also absorb the article intelligence technology and virtual reality technology to serve as a decision - making support system and export system for the ocean environment study and development. thirdly, based on maplnfo ( gis software ) platform and development languages ( vb and mapbasic ), marine environment information system in luoyuan bay was designed and development, then relied on gps and rs, ocean environment information in luoyuan bay was collected and managed effetely, its aim is to provide a reasonable opinion for decision - maker on how to utilize resources and protect environment in luoyuan bay. lastly, marine environmental quality of aquafanns in luoyuan bay was assessed relied on marine environmental information system and mathematics model ( fuzzy cluster ), and corresponding countermeasures were presented to protect ocean environment in
本文首先通過對海洋環境信息系統的特點和國內外研究現狀的分析,探討了網路時代海洋環境信息系統的發展趨勢;接著以mapinfo ( gis軟體)為開發平臺,以vb和mapbasic為開發語言,面向管理和決策層,進行羅源灣海洋環境信息系統的設計與開發,並結合遙感( rs )和全球定位系統( gps )建立模型庫,收集和管理羅源灣海洋環境信息,旨在為羅源灣的海洋建設項目的立項、選址、規劃和海洋污染事故的應急提供決策支持,從而有效地保護羅源灣海洋生態環境;最後運用羅源灣海洋環境信息系統並結合數學模型(模糊聚類)對羅源灣養殖區水環境現狀進行評價,從而使得羅源灣各海水養殖區的水質現狀評價變得生動、形象和直觀,並針對羅源灣海洋污染源狀況和污染現狀,提出了保護羅源灣海洋生態環境相應的對策。It is based on the principle : under a number of angles, the x - ray attenuation in a cross section of a human body is measured by detector resulting in a set of profiles. this set of profiles is called the radon transform of the object in mathematics. the problem now is to reconstruct a two - dimensional image via inverting its radon transform
它所基於的成像原理是:人體的某個剖面在若干個角度上被x射線束照射,照射后x射線的衰減量被檢測器記錄下來,形成投影集合,數學上將這個投影集合描述為該剖面的radon變換,通過反演radon變換就能夠重建剖面的二維圖像。Computerized tomography ( ct ) is a typical non - invasive examination techniques in medicine, which can depict anatomical structures without damaging the human body. lt is based on the principle : under a number of angles, the x - ray attenuation in a cross section of a human body is measured by detector resulting in a set of profiles. this set of profiles is called the radon transfoim of the object in mathematics. the problem now is to reconstruct a two - dimensional image via inverting its radon transform
它所基於的成像原理是:人體的某個剖面在若干個角度上被x射線束照射,照射后x射線的衰減量被檢測器記錄下來,形成投影集合,數學上將這個投影集合描述為該剖面的radon變換,通過反演radon變換就能夠重建剖面的二維圖像。From the wikipedia : " combinatorics is a branch of mathematics that studies collections usually finite of objects that satisfy specified criteria
引自wikipedia : 「組合數學識數學的一個分支,它研究滿足具體標準的物體的(有限)集合。分享友人