Severity: Notice
Message: Undefined offset: 0
Filename: controllers/Abstracts.php
Line Number: 95
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 95
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Trying to access array offset on value of type null
Filename: controllers/Abstracts.php
Line Number: 95
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 95
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined index: id
Filename: controllers/Abstracts.php
Line Number: 97
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 97
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined index: slug
Filename: controllers/Abstracts.php
Line Number: 100
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 100
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined index: short_name
Filename: controllers/Abstracts.php
Line Number: 101
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 101
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined index: id
Filename: controllers/Abstracts.php
Line Number: 105
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 105
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined index: id
Filename: controllers/Abstracts.php
Line Number: 107
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 107
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined index: id
Filename: controllers/Abstracts.php
Line Number: 109
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 109
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined index: image
Filename: controllers/Abstracts.php
Line Number: 127
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 127
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined index: name
Filename: controllers/Abstracts.php
Line Number: 138
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 138
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
PTZ: We're glad you're here. Please click "create a new query" if you are a new visitor to our website and need further information from us.
If you are already a member of our network and need to keep track of any developments regarding a question you have already submitted, click "take me to my Query."
Severity: Notice
Message: Undefined index: image
Filename: views/abstract.php
Line Number: 38
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
Line: 38
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
Line: 90
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
Line: 101
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 141
Function: _render_page
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined index: name
Filename: views/abstract.php
Line Number: 38
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
Line: 38
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
Line: 90
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
Line: 101
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 141
Function: _render_page
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined index: short_name
Filename: views/abstract.php
Line Number: 47
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
Line: 47
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
Line: 90
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
Line: 101
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 141
Function: _render_page
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined index: slug
Filename: views/abstract.php
Line Number: 48
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
Line: 48
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
Line: 90
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
Line: 101
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 141
Function: _render_page
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined index: slug
Filename: views/abstract.php
Line Number: 50
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
Line: 50
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
Line: 90
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
Line: 101
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 141
Function: _render_page
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined index: slug
Filename: views/abstract.php
Line Number: 53
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
Line: 53
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
Line: 90
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
Line: 101
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 141
Function: _render_page
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined index: slug
Filename: views/abstract.php
Line Number: 56
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
Line: 56
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
Line: 90
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
Line: 101
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 141
Function: _render_page
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined index: slug
Filename: views/abstract.php
Line Number: 273
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
Line: 273
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
Line: 90
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
Line: 101
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 141
Function: _render_page
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
Severity: Notice
Message: Undefined index: name
Filename: views/abstract.php
Line Number: 273
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
Line: 273
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
Line: 90
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
Line: 101
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 141
Function: _render_page
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once
In the History of mathematics of mankind, some strange symbols appeared when dealing with some mathematical problems, which were defined as imaginary numbers by mankind. The imaginary number has been idle for a long time since it was discovered. Later, mathematicians such as Gauss moved the imaginary number to the mathematical plane (Complex plane).
Humans have also learned the difference between imaginary and real numbers, and have obtained the difference between the two types of numbers on the square root.
My contribution is to discover the inconsistency between real and imaginary numbers.
I have discovered a new method of calculating imaginary number logic that is deeply hidden.
2020 Mathematics Subject Classification: 03G27, 03F07, 03D45, 11U09, 08A05, 08A40.
Keywords:
Published on: Jun 13, 2023 Pages: 71-74
Full Text PDF
Full Text HTML
DOI: 10.17352/amp.000082
CrossMark
Publons
Harvard Library HOLLIS
Search IT
Semantic Scholar
Get Citation
Base Search
Scilit
OAI-PMH
ResearchGate
Academic Microsoft
GrowKudos
Universite de Paris
UW Libraries
SJSU King Library
SJSU King Library
NUS Library
McGill
DET KGL BIBLiOTEK
JCU Discovery
Universidad De Lima
WorldCat
VU on WorldCat
Severity: Notice
Message: Undefined index: short_name
Filename: views/abstract.php
Line Number: 572
Backtrace:
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/views/abstract.php
Line: 572
Function: _error_handler
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/views/templates/site/mini-header-template.php
Line: 90
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 357
Function: include
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/third_party/MX/Loader.php
Line: 300
Function: _ci_load
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/core/MY_Controller.php
Line: 101
Function: view
File: /var/www/vhosts/peertechzpublications.org/httpdocs/application/modules/abstracts/controllers/Abstracts.php
Line: 141
Function: _render_page
File: /var/www/vhosts/peertechzpublications.org/httpdocs/index.php
Line: 315
Function: require_once