無窮級數
![條件收斂](/img/5/814/wZwpmL4MDN2cTNyAzNwMzM1UTM1QDN5MjM5ADMwAjMwUzLwczLxIzLt92YucmbvRWdo5Cd0FmLyE2LvoDc0RHa.jpg)
![條件收斂](/img/b/693/wZwpmL2ITO0QDM4EDN2EzM1UTM1QDN5MjM5ADMwAjMwUzLxQzL0QzLt92YucmbvRWdo5Cd0FmLzE2LvoDc0RHa.jpg)
![條件收斂](/img/5/814/wZwpmL4MDN2cTNyAzNwMzM1UTM1QDN5MjM5ADMwAjMwUzLwczLxIzLt92YucmbvRWdo5Cd0FmLyE2LvoDc0RHa.jpg)
![條件收斂](/img/5/814/wZwpmL4MDN2cTNyAzNwMzM1UTM1QDN5MjM5ADMwAjMwUzLwczLxIzLt92YucmbvRWdo5Cd0FmLyE2LvoDc0RHa.jpg)
![條件收斂](/img/b/693/wZwpmL2ITO0QDM4EDN2EzM1UTM1QDN5MjM5ADMwAjMwUzLxQzL0QzLt92YucmbvRWdo5Cd0FmLzE2LvoDc0RHa.jpg)
![條件收斂](/img/5/814/wZwpmL4MDN2cTNyAzNwMzM1UTM1QDN5MjM5ADMwAjMwUzLwczLxIzLt92YucmbvRWdo5Cd0FmLyE2LvoDc0RHa.jpg)
對任意項級數 ,若 收斂,則稱原級數 絕對收斂;若原級數 收斂,但取絕對值以後對級數發散,則稱原級數條件收斂。
反常積分
無窮限積分
![條件收斂](/img/9/e53/wZwpmL4ITN2gTOzgjNwMzM1UTM1QDN5MjM5ADMwAjMwUzL4YzL4gzLt92YucmbvRWdo5Cd0FmLxE2LvoDc0RHa.jpg)
![條件收斂](/img/a/561/wZwpmLyITMyEjNxYzNxMzM1UTM1QDN5MjM5ADMwAjMwUzL2czL2AzLt92YucmbvRWdo5Cd0FmLyE2LvoDc0RHa.jpg)
![條件收斂](/img/9/e53/wZwpmL4ITN2gTOzgjNwMzM1UTM1QDN5MjM5ADMwAjMwUzL4YzL4gzLt92YucmbvRWdo5Cd0FmLxE2LvoDc0RHa.jpg)
類似的,如果收斂,則稱絕對收斂;
![條件收斂](/img/9/e53/wZwpmL4ITN2gTOzgjNwMzM1UTM1QDN5MjM5ADMwAjMwUzL4YzL4gzLt92YucmbvRWdo5Cd0FmLxE2LvoDc0RHa.jpg)
![條件收斂](/img/a/561/wZwpmLyITMyEjNxYzNxMzM1UTM1QDN5MjM5ADMwAjMwUzL2czL2AzLt92YucmbvRWdo5Cd0FmLyE2LvoDc0RHa.jpg)
![條件收斂](/img/9/e53/wZwpmL4ITN2gTOzgjNwMzM1UTM1QDN5MjM5ADMwAjMwUzL4YzL4gzLt92YucmbvRWdo5Cd0FmLxE2LvoDc0RHa.jpg)
如果收斂,而發散,則稱條件收斂。
瑕積分
![條件收斂](/img/7/29b/wZwpmL4IDM1kDNygjNwMzM1UTM1QDN5MjM5ADMwAjMwUzL4YzL0QzLt92YucmbvRWdo5Cd0FmLxE2LvoDc0RHa.jpg)
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![條件收斂](/img/7/29b/wZwpmL4IDM1kDNygjNwMzM1UTM1QDN5MjM5ADMwAjMwUzL4YzL0QzLt92YucmbvRWdo5Cd0FmLxE2LvoDc0RHa.jpg)
類似的廣義積分,在[a,b]上有瑕點,如果收斂,則稱絕對收斂;
![條件收斂](/img/7/29b/wZwpmL4IDM1kDNygjNwMzM1UTM1QDN5MjM5ADMwAjMwUzL4YzL0QzLt92YucmbvRWdo5Cd0FmLxE2LvoDc0RHa.jpg)
![條件收斂](/img/c/6ee/wZwpmLxADO2ITMwATMyMzM1UTM1QDN5MjM5ADMwAjMwUzLwEzLwEzLt92YucmbvRWdo5Cd0FmLzE2LvoDc0RHa.jpg)
![條件收斂](/img/7/29b/wZwpmL4IDM1kDNygjNwMzM1UTM1QDN5MjM5ADMwAjMwUzL4YzL0QzLt92YucmbvRWdo5Cd0FmLxE2LvoDc0RHa.jpg)
如果收斂,而發散,則稱條件收斂。
經濟學
經濟學中的收斂,分為絕對收斂和條件收斂。
絕對收斂(Absolute Convergence),指的是,不論條件如何,窮國比富國收斂更快。
條件收斂(Conditional Convergence),指的是技術給定,其他條件一樣的話,人均產出低的國家,相對於人均產出高的國家,有著較高的人均產出增長率,一個國家的經濟在遠離均衡狀態時,比接近均衡狀態時,增長速度快。