logical equivalence 中文意思是什麼
logical equivalence
解釋
邏輯等價- logical : adj. 1. 邏輯的，邏輯上的；邏輯學上的。2. 合乎邏輯的。3. 邏輯上必然的。adv. -ly ,-ness n.
- equivalence : n. 1. 均等，相等，相當。2. 【化學】等價，化合價相當；當量。3. 等值；等量。4. （語詞的）同義；同類。5. 【數學】等勢；等效。6. 【地質學；地理學】等時代。
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In the first chapter, we narrate the characteristic of convertible bond, give some clues about development and actuality of the market and its pricing theory ; in the second chapter, we introduce modeling idea and some material problems in the model in detail, draw the yield curve which is very important to the model by spline method ; in the third chapter, we first explain the basic idea and convergent speed of monte carlo method, then, give the mathematical description for financial market, prove equivalence of non - arbitrage market, existence of risk neutral probability measure in the market and the price process of underlying asset is a martingale ; in the forth section, we introduce how to simulate stock price path by monte carlo method in detail, based on foregoing result, we prove the path is a martingale, thereby, the model is logical
本文第一章先對可轉債的特點、市場發展和現狀及其定價理論的發展和現狀作一概述;第二章詳細介紹了建模思想和模型中的一些具體問題，利用spline方法繪出了在模型中具有重要作用的收益曲線;第三章首先敘述了montecarlo方法的基本思想和有關其收斂速度的一些性質，然後從數學的角度給出了對金融市場的描述，證明了市場無套利、市場存在風險中性概率測度及標的資產價格過程為鞅的等價性;在第四節中，對用montecarlo方法模擬的帶跳股價路徑作了詳細介紹，並利用前兩節的結論證明了模擬的帶跳股價路徑為一個鞅過程，從而保證了模型在理論上的合理性。 -
This article analyses the philosophic foundation and logical thought process involved in the translatability principle, thereby proving the scientific basis and truth of the translatability principle. in addition, it expounds on the unity of quality and quantity versus the unity of content and form, resulting in bringing to light the inherent law of the equivalence principle
本文通過分析可譯性原理的哲學根基以及邏輯思維根據，論證了可譯性原理的科學性與真理性，同時又通過闡述質與量，內容與形式的統一，揭示了等值性原理的內在規律。
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