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廣播電視大學(xué)復(fù)變函數(shù)與積分變換重點(diǎn)公式歸納小抄(留存版)

  

【正文】 ??? 延遲性質(zhì) ? ? ?? ? ? ?00 ??? ?? Fxfe xj? 位移性質(zhì) 微分性質(zhì) ? ? ?? ? )(39。 177。(ln ? 。 2……) 性質(zhì):( 1)多值函數(shù) ,( 2)除原點(diǎn)及負(fù)實(shí)軸處外解析 ,( 3)在單值解析分枝上 :kk zz1)39。 記住一些重要的泰勒級(jí)數(shù): 1) ????? 011nnzz 2) ???? 0 !nnz nze 4 3) ? ????????0)12()!12( 1s innnn znz 4) ? ??????02)!2( 1cosnnn znz 三、羅蘭 ( Laurent)級(jí)數(shù) 如果函數(shù) )(zf 在圓環(huán)城 21 RbzR ??? 內(nèi)解析,則 )(zf = ???? ?xnnn bzc )( ? ?? ? dzbz zficl nn ? ??? 121? ( n=0、177。 ( 2) ? ? 0?xQ ( 3) 分母階次比分子階次至少高二次 則 ? ? ? ?? ??????? ?nR kbzfsidxxf 1 ,Re2 ? kb 是 )(zf 在上半平面的奇點(diǎn)。 the ball was the objective. To score, the ball had to be shot through a horizontal, elevated goal. The team with the most points at the end of an allotted time period wins. Early in the history of basketball, the local YMCAs provided the gymnasiums, and membership in the anization grew rapidly. The size of the local gym dictated the number of players。s original thirteen rules remain, the game soon changed considerably, and the founder had little to do with its evolution. The first intercollegiate game was played in Minnesota in 1895, with nine players to a side and a final score of nine to three. A year later, the first fiveman teams played at the University of Chicago. Baskets were now constructed of twine s but it was not until 1906 that the bottom of the s were open. In 1897, the dribble was first used, field goals became two points, foul shots one point, and the first professional game was played. A year later, the first professional league was started, in the East, while in 1900, the first intercollegiate league began. In 1910, in order to limit rough play, it was agreed that four fouls would disqualify players, and glass backboards were used for the first time. Noheless, many rules still differed, depending upon where the games were played and whether professionals, collegians, or YMCA players were involved. College basketball was played from Texas to Wisconsin and throughout the East through the 1920s, but most teams played only in their own regions, which prevented a national game or audience from developing. Professional basketball was played almost exclusively in the East before the 1920s, except when a team would barnstorm into the Midwest to play local teams, often after a league had folded. Before the 1930s very few games, either professional or amateur, were played in facilities suitable for basketball or with a perfectly round ball. Some were played in arenas with chicken wire separating the players from fans, thus the word cagers, others with posts in the middle of the floor and often with balconies overhanging the corners, limiting the areas from which shots could be taken. Until the late 1930s, all players used the twohand set shot, and scores remained low. Basketball in the 1920s and 1930s became both more anized and more popular, although it still lagged far behind both baseball and college football. In the pros, five urban, ethnic teams excelled and played with almost no college graduates. They were the New York Original Celtics。s appeal and Podoloff39。 under these premises, the two joined to form the National Basketball Association (NBA) in 1949. A rival American Basketball Association (ABA) was inaugurated in 1967 and challenged the NBA for college talent and market share for almost ten years. In 1976, this league disbanded, but four of its teams remained as NBA teams. Unification came just in time for major television support. Several women39。s ball is in (7274 cm) in circumference. The covering of the ball is leather, rubber, position, or synthetic, although leather covers only are dictated by rules for college play, unless the teams agree otherwise. Orange is the regulation color. At all levels of play, the home team provides the ball. Inflation of the ball is based on the height of the ball39。 第五章 留數(shù)定理的應(yīng)用 一、 ? ? ???? dR?20 c os,sin 條件:( 1) R(sin?, cos?) 為 cos?與 sin ? 的有理函數(shù) ( 2) R (? ) 在 [0, 2?] 或者 [? , ?] 上連續(xù)。 n nn bznazf Rbz ?? ? ? ? ? 10 00 1 ??? ??? ? ?? ???? nn zl n nnnz zn adzbzadzzf Rbz ?? 收斂半徑的計(jì) 算方法 1) 比值法:1/lim ???? nnn aaR 2) 根值法: nnn aR ??? lim/1 二、泰勒( Taylor)級(jí)數(shù) 如函數(shù) )(zf 在圓域 Rbz ?? 內(nèi)解析,那么在此圓域內(nèi) )(zf 可以展開成 Taylor 級(jí)數(shù) )(zf ? ?? ?nnnnnn bzn bfbza ???? ?? ???? 00 !)( 1)展開式是唯一的。 三、 初等函數(shù) 重點(diǎn)掌握初等函數(shù)的計(jì)算和復(fù)數(shù)方程的求解。 二、復(fù)變函數(shù)積分的計(jì)算方法 沿路徑積分: ? ??c dzzf 利用參數(shù)法積分,關(guān)鍵是寫出路徑的參數(shù)方程。 注意展開的區(qū)域,在展開點(diǎn)的所有解析區(qū)域展開。 fppFtf ?? ? ? ?? ? ? ? ? ? ? ?039。 and Japan in 1900. From 1891 through 1893, a soccer ball was used to play basketball. The first basketball was manufactured in 1894. It was 32 in (81 cm) in 微分方程 像函數(shù)的代數(shù)方程 像函數(shù) 像原函數(shù) 解函數(shù) 9 circumference, or about 4 in (10 cm) larger than a soccer ball. The dedicated basketball was made of laced leather and weighed less than 20 oz (567 g). The first molded ball that eliminated the need for laces was introduced in 1948。s Harlem Globetrotters, which was actually from Chicago. While these teams had some notable players
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