analysis(English: Analysis) It is to decompose things or objects into various parts or attributes from the whole in the mind.Although "analysis" as a formal concept has only been gradually established in recent years, this techniqueAristotle(384-322 BC) has been applied to mathematics, logic and other fields.
(Dynamic) Break something down into simpler components for research, and find out the essential attributes of these parts and the relationship between them: feasibility analysis | analysis of the situation. [Anti synthesis.[9]
source
The Book of the Han Dynasty, The Biography of Kong An[10]
example sentence
1. Separation;distinguish.
The Book of Han · The Biography of Kong An: "One hundred and two pieces were handed down from Donglai to Zhang Ba, and twenty nine pieces were analyzed and combined into dozens. The Zuo's Biography and Shuxu were also used as the beginning and end of the book, with all hundred and two pieces."
The History of the Later Han Dynasty, Biography of Xu Fang: "When I heard about" Poetry "," Book "," Rites "and" Music ", I decided to come from Confucius; when I invented chapters and sentences, I started from Zixia. Later on, various schools of thought had different opinions."
The second volume of the Qing Chen Xuan's "Countermeasures": "There are also ancient texts from the wall of Confucius, and there is another chapter of" Boudoir ". I have analyzed 18 chapters, and there are 22 chapters in total."
2. Departure;Separation.
Answering Lu Chen's Poems and Calligraphy by Liu Kun of Jin Dynasty: "The treasure of the world should be shared with the world. But on the day of analysisRegretEars. "
The Southern History of the Song Dynasty:revoltAccording to the records of today, people have been suffering from severe drought for many years. Scholars and civilians are tired of transferring, and civil and military affairs are trapped inSlab building, Family analysis, father and sonBe obedient and leave。”
3. Decomposition and discrimination.This refers to dividing a thing, a phenomenon and a concept into various parts, and finding out the essential attributes of these parts and the relationship between them.It is opposite to "comprehensive".
"The Book of the Later Han Dynasty, Biography of Ma Yuan": "In front of the emperor, we gathered rice to form a valley, and pointed out the shape of a park, which showed that all the troops traveled along the path, analyzed the twists and turns, and it was clear."
Tang Hanyu《On the proper form of changing salt law》"The conditions of reform proposed by Uncle Ping have always been detailed by my ministers, and I'm afraid they can't be implemented. The interests are as high as the rear after the analysis of this article."
Ba Jin's "On the Destruction": "After the publication of the Destruction, I read various opinions of readers. I often analyze my own works."
4. Plea;Exculpation.
"Zizhi Tongjian · Kaiping Four Years of Emperor Taizu of the Later Liang Dynasty": "The Imperial Historian Sixian Cui Yi impeaches: 'Yan Qing killed people in the palace, please follow the law.' The Emperor ordered Yan Qing to analyze."
Ancient and Modern Novels: Chen Xiaoxia Meets and Starts as a Teacher: "When Zhang Qian and Li Wan are complained by this woman, they have to analyze a few sentencesInterpose。”
5. Separation.
The Old Book of Tang · Biography of Liu Junliang: "At the end of the great cause, the worldFamineJun Liang's wife advised him to analyze that it was to steal the young birds from the court tree and put them in the nests, so that groups of birds could compete with each other. The whole family was strange. His wife said, 'Now the world is in chaos, and fighting for the autumn of birds is still incompatible with birds, which is worse than people.'Jun Liang follows it. "
"Xunzizhi Tongjian · Eight Years of Emperor Xiaozong's Qiandao in the Song Dynasty": "The upper peasants can serve three times, the middle peasants can serve two times, and the lower peasants can serve one time. If they taste ten thousand hectares, their descendants must limit their analysis to the number of the three peasants."
The Awakening Manifesto: Three Filial Pieties and Honesty Make Industry Famous: "It's better for me to analyze early and divide the property into three partsSet aside, go by yourselfOperations。”
Guo Moruo's "My Childhood", Part I, Part III: "After many years of trouble to divide Cuan's family, we finally analyzed it, but it was not a thorough analysis
6. Segregation.
Anshi, King of the Song Dynasty, wrote in the Statement of the Emperor Shangren Zong: "As the sons of princes, each has its own land, and those who are strong and big will analyze the weak and small."
Feng Menglong of the Ming Dynasty, in his book Brainstorming, Wisdom, Master Father Yan, said: "The Han Dynasty suffered from the strong princes, and the master father Yan plotted, so that the princes separated their children with private kindness. The Han Dynasty gave them their titles. The Han Dynasty was generous, and the princes gradually analyzed the weak and small clouds."
The third chapter of Xin Bu in Kang Youwei's Datong Book: "Every administrative district is different from the superior to the subordinate, and the analysis is wide and narrow depending on the size of its territory."[10]
systems analysisThe purpose is to study the interaction of various parts (subsystems) in a specific system structure, the external interfaces and interfaces of the system, as well as the overall behavior, functions and limitations of the system, so as to relate to the future changes of the systempolicy decisionProvide reference and basis.One of the regular goals of system analysis is to improve the decision-making process and systemperformanceIn order to achieve the systematicOverall optimality。
analytical chemistryIt is a method to develop and analyze the composition and structure of substances, so that the chemical composition can be qualitative and quantitative, and the chemical structure can be determined.qualitative analysisCan find out what chemical composition is in the sample;quantitative analysisThe content of these components can be determined.When analyzing samples, it is generally necessary to separate different components.Analytical chemistry is one of the most basic training for chemists. The training of chemists in experimental technology and basic knowledge is derived from analytical chemistry.
The methods of analysis can be roughly divided into two categories: classical methods and instrumental analysis methods.Instrumental analysis methods use instruments to measure the physical properties of analytes, such aslight absorption、fluorescence、conductanceEtc.Instrumental analysis methods are often used, such as electrophoresis, chromatographyField current classificationAnd other methods to separate the sample.Contemporary analytical chemistry focuses on instrumental analysis. There are several categories of commonly used analytical instruments, includingAtomic and molecular spectrometer,Electrochemical analysis instrument,nuclear magnetic resonance, X-ray, andMass spectrometer。Analytical chemical methods other than instrumental analysis are collectively referred to asClassical analytical chemistry。Classical method (also known asWet chemistryMethod) often based on color, smell, ormelting pointTo separate samples (such asextraction、precipitate、distillationAnd other methods).This kind of method is often measured byweightorvolumeTo do quantitative analysis.[3]
Analytical mechanics
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Analytical mechanicsyesTheoretical mechanicsA branch ofclassical mechanicsA highly mathematical expression of.It can be considered that 1788LagrangeThe published groundbreaking work Analytical Mechanics(Mécanique analytique)》Is the beginning of this branch.
classical mechanicsThe original expression wasNewtonGiven that a large number of geometric methods andvectorAs a research tool, it is also called vector mechanics (sometimes called "Newtonian mechanics").Lagrange、Hamilton、Jacobian Used by othersGeneralized coordinateAnd variational method, a set of mechanical expression method equivalent to vector mechanics is established.Compared with vector mechanics, the expression method of analytical mechanics is more universal.Many very complex problems in vector mechanics can be easily solved by using analytical mechanics.The method of analytical mechanics can be extended toquantum mechanicsIn systems and complex dynamic systems, quantum mechanics andNonlinearIt has important applications in dynamics.
staycryptographyMedium,frequency analysisIt refers to studying the frequency of letters or letter combinations in text.Use frequency analysis to crackClassical cipher。
The frequency analysis is based on the following principle: in any written language, different letters or letter combinations have different frequencies.Moreover, for any piece of text written in this language, the distribution of characteristic letters is roughly the same.For example, inEnglishMedium, letterEThe frequency of occurrence is very high, andXLess often.Similarly, ST, NG, TH, QU and other two letter combinations appear very frequently, while NZ and QJ combinations are rare.The 12 letters with the highest frequency in English can be abbreviated as "ETAOIN SHRDLU".[5]
mathematical analysis (English:mathematical analysis)The content of higher mathematics, which is different from that of other non mathematical students, is the oldest and most basic branch of analysis, and generally refers toCalculus、Infinite seriesandanalytic functionThe general theory of, etc. is the main content, including their theoretical basis(real number、function、measureandlimitBasic theory of mathematics).It is also a basic course for college mathematics majors.
The contents of mathematical analysis includereal number、complex, real functions and complex functions.Mathematical analysis is evolved from calculus. During the development of calculus to the modern stage, the methods in application were summarized and sublimed into a kind of comprehensive analysis methods, and elementary calculus also includes many basic concepts and skills of mathematical analysis. It can be considered that these application methods are the prerequisite for the generation of advanced calculus.The way of mathematical analysis is related to its geometry, but as long as any mathematical space has a defined neighborhood(topological space )Or there is a definition of the distance between two objects(metric space)Can be analyzed by mathematical analysis.[7]
semantic analysis
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semantic analysis (semantic analysis) technology refers to analyzing a long string of words or content from which the summary and general idea of the paragraph can be obtained, or even further, sorting out the meaning of the whole article.This technology can be used to interpretfilm, audio, etcSearch EnginesIt can search for objects other than text, so that users can save a lot of time to watch movies and listen to audio messages, and it can also help users understand the content of movies and audio messages in advance.
Semantic analysis technology was based onsingular value decomposition (Singular Value Decomposing (SVD), Non negative matrix factorization (NMF), etc. In recent years, various types of neural networks (NN) have been used to complete semantic analysis.
Philosophical analysis
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Philosophical analysisIt is a general term for many typical application skills of philosophical issues involving "disassembly" (such as analysis) in the tradition of philosophical analysis in western philosophy.Among them, it is almost uncontroversial toconceptAnalysis is regarded as one of the most outstanding skills.
Philosophical analysis refers to the whole exploration and discovery of the way of thinking that relies on the rigorous or necessary divergence of things, events, people, phenomena, and all the tangible and intangible metaphysics, the physical and intangible, and the phenomenon and non phenomenon.[8]