Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Theoretical Foundation—Variant Logic

    1. Front Matter
      Pages 1-1
    2. Jeffrey Zheng
      Pages 23-35 Open Access
  3. Theoretical Foundation—Variant Measurement

    1. Front Matter
      Pages 37-38
    2. Jeffrey Zheng
      Pages 39-50 Open Access
    3. Chris Zheng, Jeffrey Zheng
      Pages 51-65 Open Access
  4. Theoretical Foundation—Variant Map

    1. Front Matter
      Pages 95-96
    2. Jeffrey Zheng
      Pages 97-104 Open Access
    3. Jeffrey Zheng
      Pages 105-131 Open Access
    4. Jeffrey Zheng, Yamin Luo, Zhefei Li, Chris Zheng
      Pages 133-156 Open Access
  5. Theoretical Foundation—Meta Model

    1. Front Matter
      Pages 157-158
    2. Jeffrey Zheng, Chris Zheng
      Pages 159-167 Open Access
    3. Jeffrey Zheng
      Pages 169-190 Open Access
  6. Applications—Global Variant Functions

    1. Front Matter
      Pages 191-192
    2. Jeffrey Zheng, Chris Zheng
      Pages 193-202 Open Access
    3. Jeffrey Zheng, Chris Zheng
      Pages 203-215 Open Access
    4. Qingping Li, Jeffrey Zheng
      Pages 217-235 Open Access
    5. Huan Wang, Jeffrey Zheng
      Pages 247-261 Open Access
  7. Applications—Quantum Simulations

    1. Front Matter
      Pages 263-263
    2. Jeffrey Zheng
      Pages 265-277 Open Access
    3. Jeffrey Zheng
      Pages 279-286 Open Access
  8. Applications—Binary Sequences

    1. Front Matter
      Pages 287-288
    2. Zhonghao Yang, Jeffrey Zheng
      Pages 297-306 Open Access
    3. Jeffrey Zheng, Yamin Luo, Zhefei Li
      Pages 307-320 Open Access
    4. Weizhong Yang, Yamin Luo, Zhefei Li, Jeffrey Zheng
      Pages 321-331 Open Access
    5. Jeffrey Zheng, Jie Wan
      Pages 333-350 Open Access
  9. Applications—DNA Sequences

    1. Front Matter
      Pages 351-352
    2. Jeffrey Zheng, Weiqiong Zhang, Jin Luo, Wei Zhou, Ruoyu Shen
      Pages 353-377 Open Access
    3. Yuyuan Mao, Jeffrey Zheng, Wenjia Liu
      Pages 379-388 Open Access
  10. Applications—Multiple Valued Sequences

    1. Front Matter
      Pages 389-389
    2. D. M. Heim, O. Heim, P. A. Zeng, Jeffrey Zheng
      Pages 391-400 Open Access
    3. Zhihui Hou, Jeffery Zheng
      Pages 401-409 Open Access

About this book


This open access book presents theoretical framework and sample applications of variant construction. The first part includes the components variant logic, variant measurements, and variant maps, while the second part covers sample applications such as variation with functions, variant stream ciphers, quantum interference, classical/quantum random sequences, whole DNA sequences, and multiple-valued pulse sequences.

Addressing topics ranging from logic and measuring foundation to typical applications and including various illustrated maps, it is a valuable guide for theoretical researchers in discrete mathematics; computing-, quantum- and communication scientists; big data engineers; as well as graduate and upper undergraduate students.


Permutation Group Complement Structure Variant Logic Meta Measure Combinatorial Measurement Multiple Statistical Probability Distribution Visual Representation Binary Pulse Sequence Quaternion Pulse Sequence Multiple Valued Pulse Analysis Open Access

Editors and affiliations

  • Jeffrey Zheng
    • 1
  1. 1.School of SoftwareYunnan UniversityKunmingChina

Bibliographic information

  • DOI
  • Copyright Information The Editor(s) (if applicable) and The Author(s) 2019
  • License CC BY
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-981-13-2281-5
  • Online ISBN 978-981-13-2282-2
  • Buy this book on publisher's site