幾乎下半連續多值函數的連續選擇

對任意連續函數，每個小區間上的取樣點 x 都選擇在函數最 大值與最小值發生的點。如下圖，淺色方塊的高度都挑選小

從幾何上看，一個在區間上的每一點都連續的函數，其函數 圖形沒有分斷。直觀上，這樣的連續圖形我們可以一筆劃完

In Sections 3 and 6 (Theorems 3.1 and 6.1), we prove the following non-vanishing results without assuming the condition (3) in Conjecture 1.1, and the proof presented for the

Department of Mathematics, National Taiwan Normal University, Taiwan..

由於 A 為方陣, 其 row 的個數和 column 的個數皆為 n, 此時很自然地可以將 Theorem 3.4.2 和 Theorem 3.4.6 相連結得到 invertible

3.2 Rolle’s Theorem and the Mean Value Theorem 3.3 Increasing and Decreasing Functions and the First Derivative Test.. 3.4 Concavity and the Second Derivative Test 3.5 Limits

From the existence theorems of solution for variational relation prob- lems, we study equivalent forms of generalized Fan-Browder fixed point theorem, exis- tence theorems of

For the proposed algorithm, we establish a global convergence estimate in terms of the objective value, and moreover present a dual application to the standard SCLP, which leads to