sum-and-difference network 中文意思是什麼
sum-and-difference network
解釋
和差網路- sum : SUM ＝surface to underwater missile 艦對水下導彈[飛彈]。n 1 總數，總計，總額；【數學】和。2 〈the...
- and : n. 1. 附加條件。2. 〈常 pl. 〉附加細節。
- difference : n. 1. 差異，差別。2. 不和，爭論。3. 【數學】差，差額。4. 【邏輯學】特殊性。vt. 〈罕用語〉區別，使有差別。
- network : n. 1. 網眼織物。2. （鐵路、河道等的）網狀系統，網狀組織，廣播網，電視網，廣播[電視]聯播公司。3. 【無線電】網路，電路。4. 【計算機】電腦網路，網。
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In the second section of chapter 2, the fact that the essential interest rates of all nodes differ from each other is discussed, a non - homogeneous differential equation model of interest rate - amount of circulating fund is established, and it is proved that the sum of the weighted interest rates of each node in the financial network still remains a constant and that the difference of the instant interest rates between two nodes will finally approach the difference between their basic interest rates. in the third section of chapter 2, the differential equation model of interest rate - amount of circulating fund in an open system is studied, the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network, and the stability of equilibrium solution is proved based upon lyapunov stability theory. in the last, the equation model of interest rate - amount of circulating fund in the financial network with time delay is studied, and a necessary and sufficient condition for the existence of periodic solution is obtained to the interest rate - amount of circulating fund equation with delay
本文第二章首先建立了封閉系統的利率?流通量微分方程模型，證明了各結點利率加權和為常數即金融市場利率均衡原理，以及各結點利率極限為整個網路平均利率；其次在各結點基本利率不相同的情況下，建立了非齊次利率?流通量微分方程模型，證明了金融網路各結點利率加權和仍是一個常數，並證明了各結點兩兩之間的即時利率之差最終將穩定地趨于其基本利率差；此外，還研究了開放金融網路利率?流通量方程模型，考慮了結點自身追加資金和提走資金的情形以及網路外部注入資金和向外部轉移資金情形下的利率變化規律，用lyapunov穩定性理論證明了模型均衡解的穩定性；最後，還研究了具有時滯的金融網路利率?流通量方程模型，並給出了具有時滯金融網路的利率流通量方程具有周期解的充要條件。
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