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1.
在广义函数空间讨论了复变量Lewy方程δu/δz+izδu/δt=1/2F(z,z,t)广义解的存在性,获得了广义解的表达式.Lewy方程δu/δz+izδu/δz=1/2f(t)当f(t)仅为连续函数时,此解还是在区域D内的古典解,且证明了存在f(t)∈C∞(R),但在区间[-T,+T]处处不解析,却有在R3的C∞解.  相似文献   

2.
多元函数极限的一种求法   总被引:4,自引:0,他引:4  
把多元函数极限的判断及求法转化为一元函数极限的判断及求法。将点(x0,y0,z0)的某去心邻域内的点(x,y,z)用向量(x-x0,y-y0,z-z0)的方向余弦及变量t表示为(x0 tcosα,y0 tcosβ,z0 tcosγ),使多元函数f(x,y,z)转化为含自变量t的一元函数f(x0 tcosα,y0 tcosβ,z0 tcosγ),且给出了定理及相应的推论,并给予证明。得出若t→0时,(x0 tcosα,y0 tcosβ,z0 tcosγ)→A是与α,β,γ取值无关的常数,则f(x,y,z)→A((x,y,z)→(x0,y0,z0));若A与α,β,γ取值有关,则(x,y,z)→(x0,y0,z0)时f(x,y,z)的极限不存在。  相似文献   

3.
设p为正整数,A(p)表示单位圆盘内形如,f(z)=Zp 8∑k=p 1akzk的解析函数全体,对给定的复常数λ≠-p及f(z)∈A(p),用Jλf(z)=hλ*f(z)定义算子Jλ,其中hλ(z)=8∑k=pp λ/k λzk,得出当Jλf(z)∈R(p)(a)(0≤α<p)时,必存在r0,使得在|z|<r0内,f(z)∈Rn(p)(β),其中0≤β<P.  相似文献   

4.
研究了全纯函数的正规性,推广了一个全纯函数族的正规定则,得到了涉及导数和分担值的全纯函数正规性的一个结果,即:设F是区域D上的一族全纯函数,且h(z)为D上的全纯函数,若对于任意的f(z)∈F,f(z)的零点重级至少为k,当h(z)≠0时,有f(z)=0|f(k)(z)|=h(z)|f(k+1)(z)|≤c(c为正数),则F在D上正规.  相似文献   

5.
UBC类与UBC_0类函数分别是BMOA类与VMOA类函数的亚纯推广。我们知道,对单位圆盘上的每一个解析函数f(z),f(z)∈BMOA当且仅当(1-|z|~2)|f′(z)|~2dxdy是Carleson测度;f(z)∈VMOA当且仅当(1-|z|~2)|f′(z)|2dxdy是消失Carleson测度。本文我们证明,对单位圆盘上的亚纯函数f(z),f(z)∈UBC_0当且仅当(1-|z|~2)f~(#2)(z)dxdy是消失Carleson测度;若f(z)∈N,则f(z)∈UBC当且仅当(1-|z|~2)f~(#2)(z)dxdy是Carleson测度;其中f~#(z)△=|f′(z)|/(1+|f(z)|~2)。  相似文献   

6.
讨论了Cauchy-Stieltjes积分乘子的半径增长性质,得到如果f(z)∈μα,β,且∫π0ω(x)/x(β-α)+1dx+∞,则f(reiθ)有界(0≤r1).  相似文献   

7.
<正>§1 引言及引理 设f(z)=z+∑a_nz_n在单位圆E: |z|<1内正则单叶,记其全体为S,对于ρ<1,Z∈E,记 s*(ρ)={f(z):f(z)∈S,且Re(zf'(z)/f(z))>ρ}, K(ρ)={f(z):f(z)∈S,且Re(1+(zf'(z)/f'(z)))>ρ},分别称S*(ρ),K(ρ)为ρ级星象函数类和ρ级凸象函数类。 若p(z)在E中解析,且满足p(o)=1,Rep(z)>0,记其全体为T。 作者已经证明  相似文献   

8.
第一试 一、选择题(每小题6分,满分36分) 1.设集合 s=f(z,y)1 z一百1 y。为奇数,z,y E R}, T={(z,y)1 sin(2丁clz)一sin(7cy。)= COS(2丌z)一COS(Try。),‘z,∥E R}.则S与T的关系是( ). (A)S(==T (B)TCS (C)S=T (D)Sn T=黟 2.已知a∈(0,引^=(tan口)~心=(tan口)。‘。,t3:(cot d)‘“。,t4=(COt口)。‘“.则t。、t 2、t 3、t。的大小关系是( ). (A)t1相似文献   

9.
给出了在存在t0∈(0,1)满足f(t0x1 (1-t0)x2)∈y-C,for y∈E,f(x1),f(x2)∈y-C,的条件下函数f具有C-拟凸性的充分必要条件和一些相应的结果。  相似文献   

10.
第四章多元函数微分学一、主要教学内容1.多元函数的基本概念主要是二元函数,其概念的要素还是对应关系与定义域,二元函数的定义域是平面上的某个区域,对应关系一般表示为:z=f(x,y) (x,y)∈D例如,设 z=f(x,y)=sin(x y)则 f(0,0)=sin(0 0)=sin0=0f(π/2,π/2)=sin(π/2 π/2)=sin=0f(t,s)=sin(t s)2.偏导数与全微分设 z=f(x,y),则  相似文献   

11.
《海外英语》2007,(5):44-45
It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,  相似文献   

12.
一、吃和喝吃苹果 eat an apple, 吃药 take medicine,吃糖 have some sweets,吃饭 have one's meals,吃馆子 dine out,吃惊 be surprised/  相似文献   

13.
《海外英语》2007,(5):10-11
Many college freshmen arrive woefully unprepared to do college work, and as disadvantaged populations continue to grow, the share of the American work force that has made it through college is expected to plummet. Many experts blame that educational failure not just on high schools but also on colleges. School & College, a special report by The Chronicle, looks at efforts to fix the system. What reforms would better prepare students for college? What should schools and colleges be doing differently? How should state and federal officials help?  相似文献   

14.
《海外英语》2007,(4):36
There are numbers of crossroads on our long and unpredictable life journey where we totally have no idea about which direction to choose. No matter what our decision is, we should not turn back, but face the music and go ahead instead. I am this kind of girl who always does try without regretting, one example is how I dealt with my love.  相似文献   

15.
王菲 《华章》2007,(12):273-273
Migration occurs behind a variety of reasons and has a great effect on the whole world. People may migrate in order to improve their economic situation, or in order to escape civil strife, persecution, and environmental disasters. The impact of migration is complex, bringing both benefits anddisadvantages. This paper briefly talks about the causes of migration, the allocation of benefits, and the ways in which individual countries and the international community deal with this important subject.  相似文献   

16.
裴水妹 《华章》2007,(11):196
Sister Carrie is one of the most controversial characters in American literature.Thought as a "fallen woman" firstly,she was defined as a "new woman" by some critics later. However, by digging into the motivaton behind the whole process of Carrie's "success", the relationship between Carrie and her creator (the author), the social conditions of then American, it can be found that Carrie has never been free-standing on her thought and she has never found her real-sdf even after becoming a famous actress. In a society dominated by mass consumerism Carrie is only an adherent of her own desires. She also is a representative of all those country girls flooded into cities, a symbol and a sacrifice of the urbanization of America in a time countryside was overcome by cities.  相似文献   

17.
18.
1.IntroductionOne-cyclecontrolmethod,whichwasproposedaboutonedecadeago[1],hasbecomeanattractivemethodinspecialfieldssuchaspowerfactorcorrection[2-6],switchingamplifiers[7,8],etc.Themainideaofthiscontrollerisbasedonintegrationofdiodevoltageinone-cycleandforcesittobeexactlyequaltothereferencevalue.Themainadvantageofthiscontrollerisitsrealtimeabilitytorejectthevariationofinputvoltage[1].Despitethisgreatability,ithasnogoodperformancesinrejectingofloaddisturbanceandfollowingreferencecommands.Espec…  相似文献   

19.
《海外英语》2007,(4):8-9
城堡, 是欧洲典型的建筑之一, 每个城堡都有一个美丽的传说或是一段历史。从本期开始, 我们将推出“城堡之旅”, 带各位读者去浏览、观赏欧洲各地的城堡, 开始一段文化与历史的旅途!  相似文献   

20.
During interview with English majors, it was found that a majority of students expressed disappointment with their experience of English literature classes. Students' dislike of learning English literature appears to be the major problem of teaching English literature in China. Reader response approach is a good way to solve this problem. In this paper, I explain the rationale behind the reader response approach, such as its origin, definition, features, assumptions, and strategies. Then I illustrate how reader response approach works as a teaching strategy by presenting several teaching models. At last I evaluate its usefuiness for teachers and present the advantages of reader response approach in Chinese context.  相似文献   

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