Various Proofs of the Sylvester Criterion for Quadratic Forms
نویسندگان
چکیده
منابع مشابه
Applications of quadratic D-forms to generalized quadratic forms
In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space. It is shown that this form determines the isotropy behavior and the isometry class of generalized quadratic forms.
متن کاملShort proofs of the universality of certain diagonal quadratic forms
In a paper of Kim, Chan, and Rhagavan, the universal ternary classical quadratic forms over quadratic fields of positive discriminant were discovered. Here a proof of the universality of some of these quadratic forms is given using a technique of Liouville. Another quadratic form over the field of discriminant 8 is shown universal by a different elementary approach. Mathematics Subject Classifi...
متن کاملstudy of cohesive devices in the textbook of english for the students of apsychology by rastegarpour
this study investigates the cohesive devices used in the textbook of english for the students of psychology. the research questions and hypotheses in the present study are based on what frequency and distribution of grammatical and lexical cohesive devices are. then, to answer the questions all grammatical and lexical cohesive devices in reading comprehension passages from 6 units of 21units th...
Quadratic Reciprocity Ii: the Proofs
Let p be a prime number; for x, y ∈ Rn, we will write x ≡ y (mod p) to mean that there exists a z ∈ Rn such that x− y = pz. Otherwise put, this is congruence modulo the principal ideal pRn of Rn. Since Z ⊂ Rn, if x and y are ordinary integers, the notation x ≡ y (mod p) is ambiguous: interpreting it as a usual congruence in the integers, it means that there exists an integer n such that x− y = ...
متن کاملthe use of appropriate madm model for ranking the vendors of mci equipments using fuzzy approach
abstract nowadays, the science of decision making has been paid to more attention due to the complexity of the problems of suppliers selection. as known, one of the efficient tools in economic and human resources development is the extension of communication networks in developing countries. so, the proper selection of suppliers of tc equipments is of concern very much. in this study, a ...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematics Research
سال: 2017
ISSN: 1916-9809,1916-9795
DOI: 10.5539/jmr.v9n6p55