A N A L Y S I S   B R I E F :

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1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis).

2. this process as a method of studying the nature of something or of determining its essential features and their relations.

3. a presentation, usually in writing, of the results of this process.

4. a philosophical method of exhibiting complex concepts or propositions as compounds or functions of more basic ones.

5. an investigation based on the properties of numbers.

6. the discussion of a problem by algebra, as opposed to geometry.

7. the branch of mathematics consisting of calculus and its higher developments.

8. a system of calculation, as combinatorial analysis or vector analysis.

9. a method of proving a proposition by assuming the result and working backward to something that is known to be true.

10. intentionally produced decomposition or separation of materials into their ingredients or elements, as to find their kind or quantity.

11. the ascertainment of the kind or amount of one or more of the constituents of materials, whether obtained in separate form or not.

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13. a detailed examination of anything complex in order to understand its nature or to determine its essential features : a thorough study.

14. a statement of such an examination.

15. separation of a whole into its component parts.

16. the identification or separation of ingredients of a substance.

17. a statement of the constituents of a mixture.

18. proof of a mathematical proposition by assuming the result and deducing a valid statement by a series of reversible steps.

19. a branch of mathematics concerned mainly with limits, continuity, and infinite series.

20. a method in philosophy of resolving complex expressions into simpler or more basic ones.

21. clarification of an expression by an elucidation of its use in discourse.

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23. the act of studying or examining something in detail, in order to discover or understand more about it, or your opinion and judgment after doing this.

24. the act of examining a substance, especially by separating it into its parts, in order to discover what it is or contains.

25. a process or treatment in which a person's unconscious mind is examined according to a theory of the human personality, to discover the hidden causes of their emotional or mental problems.

26. the process of studying or examining something in an organized way to learn more about it, or a particular study of something.

27. the study of something in detail.

28. someone's opinion, based on the knowledge and information they have, of what a situation is and what it means.

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30. a careful study of something to learn about its parts, what they do, and how they are related to each other.

31. an explanation of the nature and meaning of something.

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33. the abstract separation of a whole into its constituent parts in order to study the parts and their relations.

34. an investigation of the component parts of a whole and their relations in making up the whole.

35. a form of literary criticism in which the structure of a piece of writing is analyzed.

36. a set of techniques for exploring underlying motives.

37. a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation.

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39. is the scientific process of examining something in order to find out what it consists of.

40. is an explanation or description that results from considering something carefully.

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42. a process of studying or examining something in detail in order to understand it or explain it.

43. a process of examining something in detail in order to find out what it contains.

44. the process of examining someone’s thoughts, feelings, and behavior as a way of understanding and dealing with their emotional or mental problems.

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46. the detailed study or examination of something in order to understand more about it; the result of the study.

47. a careful examination of a substance in order to find out what it consists of.