【正文】 s prestige began to decline. Professional basketball remained a disanized and stodgy sport up until the late 1940s, with barnstorming still central to the game and most players still using the set shot. In 1946, however, hockey owners, led by Maurice Podoloff, created the Basketball Association of America (BAA) in the East to fill their arenas, but few fans came, even after Joe Fulks of Philadelphia introduced the jump shot. The BAA39。 Eddie Gottlieb39。s game by recognizing it as an Olympic event in 1976. Again, television coverage of the Olympics has been exceptionally important in drawing attention to international teams. The first professional men39。s original players were Canadians, and the game spread to Canada immediately. It was played in France by 1893。s National Basketball Association (WNBA) playoffs. And it has also made American heroes out of its player and coach legends like Michael Jordan, Larry Bird, Earvin Magic Johnson, Sheryl Swoopes, and other great players. At the heart of the game is the playing space and the equipment. The space is a rectangular, indoor court. The principal pieces of equipment are the two elevated baskets, one at each end (in the long direction) of the court, and the basketball itself. The ball is spherical in shape and is inflated. Basketballs range in size from in (7276 cm) in circumference, and in weight from 1822 oz (510624 g). For players below the high school level, a smaller ball is used, but the ball in men39。 ??Fjxf ? ? ? ? )(39。 函數(shù)在解析圓環(huán)城內(nèi)展開成 Laurent 級數(shù)。 2……） 展開式是唯一的，即只要把函數(shù)在圓環(huán)城內(nèi)展開為冪級數(shù)即為 Laurent 級數(shù)。 閉路積分 ???c dzzf 利用留數(shù)定理計算 積分。 三角函數(shù)： 2cos iziz eez ??? ieez iziz 2sin ??? 性質(zhì)：（ 1）單值 （ 2）復平面上處處解析 （ 3）周期性 （ 4）無界 反三角函數(shù)（了解） 反正弦函數(shù) )1(1s i n 2zizLnizA r cw ???? 2 反余弦函數(shù) )1(1c os 2 ???? zzLnizA r cw 性質(zhì)與對數(shù)函數(shù)的性質(zhì)相同。 二、 柯西 —— 黎曼方程 掌握利用 CR 方程????? ???xyyx vu vu 判別復變函數(shù)的可導性與解析性。 177。 b) dzyxivyxuc )],(),([ ?? 利用參數(shù)積分方法 三、柯西積分定理： ? ? 0??c dzzf 推論 1：積分與路徑無關 ? ? dzzfdzzf zzc ?? ? 21 )( 推論 2：利用原函數(shù)計算積分 )()()(1221 zFzFdzzfzz ??? 推論 3：二連通區(qū)域上的柯西定理 ? ? ? ??? ? 21 cc dzzfdzzf 推論 4：復連通區(qū)域上的柯西定理 ? ? ? ???? ?? kkc dzzfdzzf 1 四、柯西積分公式： ? ? ?? ?? dzfizf c? ?? 21)( ? ? ? ?00 2c fz dz if zzz ???? 五、高階導數(shù)公式： ? ? ?? ?? dzfinzf c nn ? ??? 1)( )(2 !)( 解析函數(shù)的兩個重要性質(zhì)： 3 ? 解析函數(shù) ??zf 在任一點 z 的值可以通過函數(shù)沿包圍點 z 的任一簡單閉合回路的積分表示。 3）展開式的系數(shù)可以微分計算： ? ?!nbfa nn ? 4）解析函數(shù)可以用 Taylor 級數(shù)表示。在此點 )(zf 可展開為羅蘭級數(shù)，)(zf = ? ? ? ? ? ?? ?? ????????? ?????10n nnnnnnn n bzcbzcbzc 分類： 孤立奇點???????? 1]),([Re,::0]),([Re,:cbzfsbzfs無窮多負冪項本性奇點有限負冪項極點無負冪項可去奇點 把函數(shù)在奇點的去心鄰域中展開為羅蘭級數(shù) ，求解 C1 極點留數(shù)計算 a) 如果 b 是 )(zf 的一階極點，則 )()(lim]),([Re zfbzbzfsbz ?? ? b) 如果 b 是 )(zf 的 m 階極點，則 ? ? ? ? ? ?][l i m!11]),([Re 11 zfbzdzdmbzfs mmmbz ??? ??? c) 如 b 是 ? ? ? ?? ?zQ zPzf ?的一階極點，且 P(b)≠ 0，那么 ? ?? ? ? ?? ?bQ bPbzQ zPs 39。 二、 ? ????? dxxf 條件： （ 1） ? ? ? ? ? ?xQxPxf ? ? ? ? ?xQxP , 是 x的多項式。 計算 Laplace 逆 變換。s five basic principles center on the ball, which was described as large, light, and handled with the hands. Players could not move the ball by running alone, and none of the players was restricted against handling the ball. The playing area was also open to all players, but there was to be no physical contact between players。s basketball. Until World War II, basketball became increasingly popular in the United States especially at the high school and college levels. After World War II, its popularity grew around the world. In the 1980s, interest in the game truly exploded because of television exposure. Broadcast of the NCAA Championship Games began in 1963, and, by the 1980s, cable television was carrying regular season college games and even high school championships in some states. Players like Bill Russell, Wilt Chamberlain, and Lew Alcindor (Kareem AbdulJabbar) became nationally famous at the college level and carried their fans along in their professional basketball careers. The women39。s World Basketball Association, before the WNBA debuted in 1997 with the support of the NBA. James Naismith, originally from Almonte, Ontario, invented basketball at the International YMCA Training School in Springfield, Massachusetts, in 1891. The game was first played with peach baskets (hence the name) and a soccer ball and was intended to provide indoor exercise for football players. As a result, it was originally a rough sport. Although ten of Naismith39。s development: zone defenses, the weave, the passing game, and the fast break. In the decade preceding World War II, five events changed college basketball and allowed it to bee a major spectator sport. In 1929, the rules mittee reversed a decision that would have outlawed dribbling and slowed the game considerably. Five years later, promoter Edward Ned Irish staged the first intersectional twin bill in Madison Square Garden in New York City and attracted more than 16,000 fans. He demonstrated t