Broken Bracelets, Molien Series, Paraffin Wax and an Elliptic Curve of Conductor
نویسنده
چکیده
This paper introduces the concept of necklace binomial coefficients motivated by the enumeration of a special type of sequences. Several properties of these coefficients are described, including a connection between their roots and an elliptic curve. Further links are given to a physical model from quantum mechanical supersymmetry as well as properties of alkane molecules in chemistry.
منابع مشابه
Broken Bracelets, Molien Series, Paraffin Wax, and an Elliptic Curve of Conductor 48
Certain enumeration questions arising from the study of binary necklaces are solved. Applications and interpretations are provided.
متن کاملCompositional Modeling of Wax Formation in Petroleum Mixtures
Heavy organics deposition is a common problem in oil industry, especially in oil production, transportation and processing. Wax or solid paraffin series are examples of heavy organics that deposit. Precipitation and crystallization of wax causes major difficulties in different processes. Based on multi-solid theory, a basic model is modified in this paper for wax precipitation in different oils...
متن کاملAn Efficient Method For DNA Extraction From Paraffin Wax Embedded Tissues For PCR Amplification Of Human And Viral DNA
Background and Objective: Formalin-fixed paraffin-embedded tissues are a valuable source of DNA for molecular studies. We designed and optimized an efficient procedure for DNA extraction from formalin-fixed paraffin embedded tissues. Materials and Methods: Seventy three blocks of cervical paraffin-embedded tissues were investigated. DNA was extracted using 45 minutes boiling in alkaline sol...
متن کاملEfficient elliptic curve cryptosystems
Elliptic curve cryptosystems (ECC) are new generations of public key cryptosystems that have a smaller key size for the same level of security. The exponentiation on elliptic curve is the most important operation in ECC, so when the ECC is put into practice, the major problem is how to enhance the speed of the exponentiation. It is thus of great interest to develop algorithms for exponentiation...
متن کاملAn efficient blind signature scheme based on the elliptic curve discrete logarithm problem
Elliptic Curve Cryptosystems (ECC) have recently received significant attention by researchers due to their high performance such as low computational cost and small key size. In this paper a novel untraceable blind signature scheme is presented. Since the security of proposed method is based on difficulty of solving discrete logarithm over an elliptic curve, performance of the proposed scheme ...
متن کامل