NDLTD Global ETD Search
  • Refine Query
  • Source
  • Publication year
  • to
  • Language
  • 1
  • 1
  • Tagged with
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

Search results

Showing 1 to 1 of 1 (0.018 seconds)

Spelling suggestions: "subject:"catalan(族)"" "subject:"catalana(族)""

1

Catalan數的對射證明 / A Bijective Proof of Catalan Number

李英杰, Lee, Ing-Jye Unknown Date (has links)
本文的主旨是利用對射函數的方法,證明圓周上2n個點成功配對問題的解是Catalan數.所以必須找一個也是Catalan數的事物來和本問題對應,這裡找的是n個節點的二元數.我們先造一個由成功配對應射到二元數的函數,再證明此函數是一對一且映成,既為對射函數,則我們就可以知道成功配對的解是Catalan數.然後再將問題推廣到3n個點,甚至到kn個點的情形,以得到一般的問題解.
生成函數
對射函數
二元樹
Catalan數(族)
Catalan number

Page generated in 0.0214 seconds