The quantitative errors of extinction efficiency during the particulate measurement caused by the refractive index are studied. And the quantitative results are acquired when the real part of the refractive index and the imaginary part change respectively. The change ranges of the real part are 1+0.5 i to 2+0.5 i at a 0.1 interval and 1.5+0.5 i to 1.59+0.5 i at a 0.01 interval. Another the chan...

In 1989, Koblitz [3] first proposed the Jacobian of a conventional (imaginary) hyperelliptic curve for use in public-key cryptographic protocols. Hyperelliptic curves are in a sense generalizations of elliptic curves. The Jacobian is a finite abelian group which, like elliptic curve groups, has unique representatives of group elements and efficient arithmetic (divisor addition and reduction). A...

Habib and Rupp [3] provided analytical results for mutual coupling between multiple dipole antennas with angular or spatial separation. However, the method of deriving mutual coupling from mutual impedance involved several inconsistencies on which depend the final results of multiple antenna system capacity presented in their paper. First, the expression of mutual impedance matrix (12) in [3] i...

In this paper, we determine all the imaginary abelian number fields with class number one. There exist exactly 172 imaginary abelian number fields with class number one. The maximal conductor of these fields is 10921 = 67 • 163 , which is the conductor of the biquadratic number field Q(\/-67, v'—163).

the immortality of the rational soul is one of the most important issues of ibn sina’s philosophy and anthropology. he poses many arguments in proving this subject. ibn sina proves the immortality of rational soul by not having relation or position of the intelligible concepts, indefinite power of the rational soul in his actions as well as its needlessness to sensible faculties in some of its ...

risalat risalat al-ghofran is the letter that abu ala marri (363-449 ah) writes in response to a letter from ali ben mansour halabi. inspired by the story of his ascension and the quran makes for a very long introduction to this thesis imaginary journey to heaven and hell are brought into the picture and verses and poems, and news and conflict in many lexical and syntactic text instead gives it...

We consider the eigenvalues of the matrix AKNS system and establish bounds on the location of eigenvalues and criteria for the nonexistence of eigenvalues. We also identify properties of the system which guarantee that eigenvalues cannot lie on the imaginary axis or can only lie on the imaginary axis. Moreover, we study the deficiency indices of the underlying non-selfadjoint differential opera...

A classical result of Dirichlet shows that certain elementary character sums compute class numbers of quadratic imaginary number fields. We obtain analogous relations between class numbers and a weighted character sum associated to a 2-isogeny of elliptic curves.