On Theorem of the “Mountain Impasse” Type

ＬｅｔＦ（ｕ），Ｇ（ｕ）ｂｅＣ１－ｆｕｎｃｔｉｏｎａｌｓｏｎａＨｉｌｂｅｒｔｓｐａｃｅＨａｎｄｓｕｐｕ∈ＨＦ（ｕ）＝∞．ＬｅｔＫｂｅａｃｏｍｐａｃｔｍｅｔｒｉｃｓｐａｃｅａｎｄｌｅｔＫｂｅａｎｏｎ－ｅｍｐｔｙｃｌｏｓｅｄｓｕｂｓｅｔ≠Ｋ，ｐ∈Ｃ（Ｋ；Ｈ）．ＤｅｎｏｔｅＦＲ＝｛ｕ∈Ｈ｜Ｆ（ｕ）Ｒ｝；　　　　　　ΦＲ＝｛ｐ∈Ｃ（Ｋ；ＦＲ）｜ｐ＝ｐｏｎＫ｝；ｃ（Ｒ）＝ｉｎｆｐ∈ΦＲｍａｘξ∈ＫＧ（ｐ（ξ））；ｃ０＝ｍａｘξ∈ＫＧ（ｐ（ξ））；Φ∞＝｛ｐ∈Ｃ（Ｋ；Ｈ）｜ｐ＝ｐｏｎＫ｝；…     

A Formula Involving Convolrtions and Partition-Sums

ＡＦｏｒｍｕｌａＩｎｖｏｌｖｉｎｇＣｏｎｖｏｌｎｔｉｏｎｓａｎｄＰａｒｔｉｔｉｏｎ－ＳｕｍｓＬｅｅｔｓｃｈＣ．Ｈｓｕ（Ｉｎｓｔ．ｏｆＭａｔｈ．Ｓｃｉ．，ＤａｌｉａｎＵｎｉｖ－ｏｆＴｅｃｈ．，Ｄａｌｉａｎ１１６０２４）ＡＦｏｒｍｕｌａＩｎｖｏｌｖｉｎｇ...     

A Comtrol Model of Linear Fuzzy Silf-Regression

ＡＣｏｎｔｒｏｌＭｏｄｅｌｏｆＬｉｎｅａｒＦｕｚｚｙＳｅｌｆ－ＲｅｇｒｅｓｓｉｏｎＬｕＦｅｎｇ，ＸｕＸｉａｏｇｕａｎｇ（Ｄｅｐ．ｏｆＭａｔｈ．Ｎｏｒｔｈｅａｓｔ（ＢａｓｉｃＢｒａｎｃｈＣｈａｎｇｃｈｕｎＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ）ＴａｘＣｏｌｌ...     

Saks空间中（A）型相容映射的叠合点及公共不动点（英）

ＣｏｉｎｃｉｄｅｎｃｅＰｏｉｎｔｓａｎｄＣｏｍｍｏｎＦｉｘｅｄＰｏｉｎｔｓｆｏｒＣｏｍｐａｔｉｂｌｅＭａｐｓｏｆＴｙｐｅ（Ａ）ｏｎＳａｋｓＳｐａｃｅｓＰ．Ｐ．Ｍｕｒｔｈｙ，Ｂ．Ｋ．Ｓｈａｒｔｒｉａ，Ｙ．Ｊ．ＣｈｏＣｏｉｎｃｉｄｅｎｃｅＰｏｉｎｔｓａｎ...     

BIFURCATIONS OF LIMIT CYCLES FROM A HETEROCLINIC CYCLE OF HAMILTONIAN SYSTEMS

§１．ＮｏｒｍａｌＦｏｒｍｓｏｆＤｉｓｐｌａｃｅｍｅｎｔＦｕｎｃｔｉｏｎｓＣｏｎｓｉｄｅｒａｐｌａｎａｒＣ∞ｓｙｓｔｅｍｏｆｔｈｅｆｏｒｍｘ＝ｆ（ｘ）＋λｆ０（ｘ，δ，λ）≡ｆ（ｘ，δ，λ），（１．１）ｗｈｅｒｅｘ∈Ｒ２，λ∈Ｒ，δ∈Ｒｍ，ａｎｄｔｒ...     

On a Class of Additive Functions

ＯｎａＣｌａｓｓｏｆＡｄｄｉｔｉｖｅＦｕｎｃｔｉｏｎｓＺｈａｉｗｅｎｇｕａｎｇ（翟文广）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＳｈａｎｄｏｎｇＵｎｉｖ．，Ｊｉｎａｎ，Ｓｈｏｎｄｏｎｇ，２５０１Ｏ０）ＣｏｍｍｕｎｉｃａｔｅｄｂｙＰａｎＣｈｅｎｇｂｉａｏＲｅｃｅｉ...     

THE PROOF OF A.M. FINK′S CONJECTURE

ＴＨＥＰＲＯＯＦＯＦＡ．Ｍ．ＦＩＮＫ′ＳＣＯＮＪＥＣＴＵＲＥ￥ＺｅｎｇＷｅｉｙａｏ（曾唯尧）（ＨｕｎａｎＬｉｇｈｔＩｎｄｕｓｔｒｉａｌＣｏｌｌｅｇｅ）Ａｂｓｔｒａｃｔ：ＩｎｔｈｉｓｐａｐｅｒｗｅｗｉｌｌｓｈｏｗＡ．Ｍ．Ｆｉｎｋ′ｓｃｏｎｊｅｃｔｕｒｅ...     

Concerning a Kind of Integrals of Cinmplex-Valued Functions of Large Numbers

ＣｏｎｃｅｒｎｉｎｇａＫｉｎｄｏｆｉｎｔｅｇｒａｌｓｏｆＣｏｍｐｌｅｘ－ＶａｌｎｅｄＦｕｎｃｔｉｏｎｓｏｆＬａｒｇｅＮｎｍｂｅｒｓＬ．Ｃ．Ｈｓｕ（Ｄｅｐｔ．ｏｆＭａｔｈ．Ｓｃｉ．，ＤａｌｉａｎＵｎｉｖ．ｏｆＴｅｃｈ，Ｄａｌｉａｎ１１００２３）Ｃｏｎｃ...     

On the Frobenius Problem of Linear Forms（Ⅰ）

ＯｎｔｈｅＦｒｏｂｅｎｉｕｓＰｒｏｂｌｅｍｏｆＬｉｎｅａｒＦｏｒｍｓ（Ⅰ）ＹａｎＦａｘｉａｎｇ（阎发湘）（ＤｅＰｔ．ｏｆＭａｔｈ．，ＬｉａｏｎｉｎｇＵｎｉｖｅｒｓｉｔｙ，Ｓｈｅｎｙａｎｙ，Ｌｉａｏｎｉｎｇ．１１００３６）ＣｏｍｍｕｎｉｃａｔｅｄｂｙＰ...     

On the Structure of the B—cocleft Module Coalgebra

§１．　ＴｈｅＥｑｕｉｖａｌｅｎｔＴｈｅｏｒｅｍｏｆｔｈｅＣｒｏｓｓｅｄＣｏｐｒｏｄｕｃｔＬｅｔＣｂｅａｌｅｆｔＨ－ｗｅａｋｌｙｃｏｍｏｄｕｌｅｃｏａｌｇｅｂｒａ［４］ｗｉｔｈｔｈｅｓｔｒｕｃｔｕｒｅρ－Ｃ（ｃ）＝∑ｃ（１）ｃ（２）．ＤｂｅｌｅｆｔＨ－ｍｏｄｕｌｅｃｏａｌｇｅｂｒａ［２］ｗｉｔｈｔｈｅｓｔｒｕｃｔｕｒｅ“”．Ｆｏｒα∈Ｈｏｍκ（Ｃ，ＨＨ）ｄｅｎｏｔｅα（ｃ）＝∑α１（ｃ）α２（ｃ）．Ｄｅｆｉｎｅ△－：ＣＤ→（ＣＤ）（ＣＤ）ａｎｄε－：ＣＤ→κａｓｆｏｌｌｏｗ－ｉ…     

N-Centralizing Mappings in Semiprime Rings

Ｎ┐ＣｅｎｔｒａｌｉｚｉｎｇＭａｐｐｉｎｇｓｉｎＳｅｍｉｐｒｉｍｅＲｉｎｇｓＭａｊｅｅｄ，Ａ．Ｈ．ａｎｄＮｉｕＦｅｎｇｗｅｎ（牛凤文）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＪｉｌｉｎＵｎｉｖｅｒｓｉｔｙ，Ｃｈａｎｇｃｈｕｎ，１３００２３）...     

ω_1-OrdinalDefinable Setsand ChangsModelC

§１．　ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｉｓｐａｐｅｒｗｏｒｋｓｉｎＺＦｓｅｔｔｈｅｏｒｙ（ｓｏｍｅｔｉｍｅｓ，ｉｔｎｅｅｄｓａｘｉｏｍｏｆｃｈｏｉｃｅ（ＡＣ）ｏｒｉｔｓｗｅａｋｆｏｒｍｓ）．Ｔｈｅｎｏｔａｔｉｏｎｓａｎｄｔｅｒｍｉｎｏｌｏｇｉｅｓｅｍｐｌｏｙｅｄｉｎｔｈｉｓｐａｐｅｒａｒｅｓｔａｎｄａｒｄ．Ｆｏｒｅｘａｍｐｌｅ，ｌｏｗｅｒｃａｓｅＧｒｅｅｋｌｅｔｔｅｒｓα，β，γ，…ｄｅｎｏｔｅｏｒｄｉｎａｌｓ；κ，λ，μ，…ｃａｒｄｉｎａｌｓ．Ｔｈｅｃｌａｓｓｏｆａｌｌｏｒｄｉ－ｎａｌｓｉｓｄｅ…     

On a Class of Fractal Interpolation Functions

ＯｎａＣｌａｓｏｆＦｒａｃｔａｌＩｎｔｅｒｐｏｌａｔｉｏｎＦｕｎｃｔｉｏｎｓＱｉａｎＸｉａｏｙｕａｎ（Ｉｎｓｔ．ｏｆＭａｔｈ．Ｓｃｉｓ．，ＤａｌｉａｎＵｎｉｖｅｒｓｉｔｙｏｆＴｅｃｈｎｏｌｏｇｙ，１１６０２４）Ｋｅｙｗｏｒｄｓｉｔｅｒａｔｅｄｆｕｎ...     

Graphlike Manifolds with Contraction △×△(Correction)

ＧｒａｐｈｌｉｋｅＭａｎｉｆｏｌｄｓｗｉｔｈＣｏｎｔｒａｃｔｉｏｎ△×△（Ｃｏｒｒｅｃｔｉｏｎ）ＬｉｕＹａｘｉｎｇ（刘亚星）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＨｅｎａｎＵｎｉｖｅｒｓｉｔｙ，Ｋａｉｆｅｎｇ，４７５００１）ＣｏｎｖｅｎｔｉｏｎＦｏｒｂｒｅｖｉ...     

A NICE PROPERTY OF OPERATORS DEFINED ON c_o

ＡＮＩＣＥＰＲＯＰＥＲＴＹＯＦＯＰＥＲＡＴＯＲＳＤＥＦＩＮＥＤＯＮｃ＿ｏＣ．Ｓｗａｒｔｚ（ＮｅｗＭｅｘｉｃｏＳｔａｔｅＵｎｉｖｒｓｉｔｙ，ＬａｓＣｒｕｃｅｓ，Ｕ．Ｓ．Ａ．）Ｍｉｎ－ＨｙｕｎｇＣｈｏ（Ｋｕｍ－ＯｈＵｎｉｖｅｒｓｔｙｏｆＴｅｃｈｎｏｌｏｇ...     

Aurifeuillian Factorizations of q~q±1(q=p~n)

ＡｕｒｉｆｅｕｉｌｉａｎＦａｃｔｏｒｉｚａｔｉｏｎｓｏｆｑｑ±１（ｑ＝ｐｎ）ＳｕｎＱｉ（孙琦）ＨｏｎｇＳｈａｏｆａｎｇ（洪绍方）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＳｉｃｈｕａｎＵｎｉｖｅｒｓｉｔｙ，Ｃｈｅｎｇｄｕ，Ｓｉｃｈｕａｎ，６１００６４）Ｃｏｍｍｕｎ...     

DIFFERENTIABILITY OF CONVEX FUNCTIONS AND ASPLUND SPACES

ＤＩＦＦＥＲＥＮＴＩＡＢＩＬＩＴＹＯＦＣＯＮＶＥＸＦＵＮＣＴＩＯＮＳＡＮＤＡＳＰＬＵＮＤＳＰＡＣＥＳＣｈｅｎｇＬｉｚｉｎ（程立新）ＺｈａｎｇＦｅｎｇ（张风）（Ｍａｔｈ．Ｓｅｃｔｉｏｎ，Ｄｅｐｔ．ｏｆＰｕｂｌｉｃＣｏｕｒｓｅｓ，ＪｉａｎｇｈａｎｒＰｅｔ...     

A COMPLETE SOLUTION OF HOSOYA'S MYSTERY

ＺＨＡＮＧＦＵＪＩ（张福基）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＸｉａｍｅｎＵｎｉｖｅｒｓｉｔｙ，Ｘｉａｍｅｎ３６１００５，Ｃｈｉｎａ）ＣＨＥＮＲＯＮＧＳＩ（陈荣斯）（ＣｏｌｌｅｇｅｏｆＦｉｎａｎｃｅａｎｄＥｃｏｎｏｍｉｃｓ，Ｆｕｚｈｏ...     

On the Locally Symmetric and Cosympectic Bochner Flat Manifolds

ＯｎｔｈｅＬｏｃａｌｌｙＳｙｍｍｅｔｒｉｃａｎｄＣｏｓｙｍｐｅｃｔｉｃＢｏｃｈｎｅｒＦｌａｔＭａｎｉｆｏｌｄｓＱｕＣｈｅｎｇｑｉｎ（瞿成勤）（Ｎａｖａｌ．ＥｌｅｃｔｒｏｎｉｃＥｎｇｉｎｅｅｒｉｎｇＣｏｌｌｅｇｅ，Ｎａｎｊｉｎｇ，２１１８００）Ｏｕｙａ...     

ON A KIND OF THE BEST ESTIMATES FOR THE EULER CONSTANT_γ

ＯＮＡＫＩＮＤＯＦＴＨＥＢＥＳＴＥＳＴＩＭＡＴＥＳＦＯＲＴＨＥＥＵＬＥＲＣＯＮＳＴＡＮＴγ￥ＸｉｏｎｇＧｕｔｊｉｎｇ（熊规景）（ＷｓｈａｎＩｕｓｔ．Ｍａｔｈ．Ｓｃｉ．，ＴｈｅＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅｓ，Ｗｕｈａｎ，５０Ｏ７１，Ｃ...