Warning: "continue" targeting switch is equivalent to "break". Did you mean to use "continue 2"? in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/json/FormatJson.php on line 297

Deprecated: Optional parameter $prefix declared before required parameter $code is implicitly treated as a required parameter in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/languages/Language.php on line 4267

Deprecated: Return type of ResultWrapper::current() should either be compatible with Iterator::current(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/DatabaseUtility.php on line 174

Deprecated: Return type of ResultWrapper::next() should either be compatible with Iterator::next(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/DatabaseUtility.php on line 192

Deprecated: Return type of ResultWrapper::key() should either be compatible with Iterator::key(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/DatabaseUtility.php on line 185

Deprecated: Return type of ResultWrapper::valid() should either be compatible with Iterator::valid(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/DatabaseUtility.php on line 202

Deprecated: Return type of ResultWrapper::rewind() should either be compatible with Iterator::rewind(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/DatabaseUtility.php on line 163

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::open($save_path, $session_name) should either be compatible with SessionHandlerInterface::open(string $path, string $name): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/PHPSessionHandler.php on line 172

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::close() should either be compatible with SessionHandlerInterface::close(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/PHPSessionHandler.php on line 187

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::read($id) should either be compatible with SessionHandlerInterface::read(string $id): string|false, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/PHPSessionHandler.php on line 201

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::write($id, $dataStr) should either be compatible with SessionHandlerInterface::write(string $id, string $data): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/PHPSessionHandler.php on line 229

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::destroy($id) should either be compatible with SessionHandlerInterface::destroy(string $id): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/PHPSessionHandler.php on line 335

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::gc($maxlifetime) should either be compatible with SessionHandlerInterface::gc(int $max_lifetime): int|false, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/PHPSessionHandler.php on line 355

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: Return type of MediaWiki\Session\Session::count() should either be compatible with Countable::count(): int, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 611

Deprecated: Return type of MediaWiki\Session\Session::current() should either be compatible with Iterator::current(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 616

Deprecated: Return type of MediaWiki\Session\Session::next() should either be compatible with Iterator::next(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 626

Deprecated: Return type of MediaWiki\Session\Session::key() should either be compatible with Iterator::key(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 621

Deprecated: Return type of MediaWiki\Session\Session::valid() should either be compatible with Iterator::valid(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 636

Deprecated: Return type of MediaWiki\Session\Session::rewind() should either be compatible with Iterator::rewind(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 631

Deprecated: Return type of MediaWiki\Session\Session::offsetExists($offset) should either be compatible with ArrayAccess::offsetExists(mixed $offset): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 645

Deprecated: Return type of & MediaWiki\Session\Session::offsetGet($offset) should either be compatible with ArrayAccess::offsetGet(mixed $offset): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 657

Deprecated: Return type of MediaWiki\Session\Session::offsetSet($offset, $value) should either be compatible with ArrayAccess::offsetSet(mixed $offset, mixed $value): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 666

Deprecated: Return type of MediaWiki\Session\Session::offsetUnset($offset) should either be compatible with ArrayAccess::offsetUnset(mixed $offset): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 670

Warning: Private methods cannot be final as they are never overridden by other classes in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/actions/Action.php on line 67

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Warning: "continue" targeting switch is equivalent to "break". Did you mean to use "continue 2"? in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/languages/LanguageConverter.php on line 757

Deprecated: Message implements the Serializable interface, which is deprecated. Implement __serialize() and __unserialize() instead (or in addition, if support for old PHP versions is necessary) in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/Message.php on line 159

Deprecated: RawMessage implements the Serializable interface, which is deprecated. Implement __serialize() and __unserialize() instead (or in addition, if support for old PHP versions is necessary) in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/Message.php on line 1250

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: Optional parameter $label declared before required parameter $alt is implicitly treated as a required parameter in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/Linker.php on line 726

Deprecated: Optional parameter $label declared before required parameter $alt is implicitly treated as a required parameter in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/DummyLinker.php on line 144

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: header(): Passing null to parameter #3 ($response_code) of type int is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/WebResponse.php on line 42

Deprecated: header(): Passing null to parameter #3 ($response_code) of type int is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/WebResponse.php on line 42

Deprecated: header(): Passing null to parameter #3 ($response_code) of type int is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/WebResponse.php on line 42

Deprecated: header(): Passing null to parameter #3 ($response_code) of type int is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/WebResponse.php on line 42

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: trim(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/skins/SkinTemplate.php on line 354

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: Optional parameter $attribs declared before required parameter $contents is implicitly treated as a required parameter in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/Xml.php on line 131

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

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			<h1 id="firstHeading" class="firstHeading" lang="de">Quelltext der Seite Creating and Modifying Images Using Newton's Method for Solving Equations</h1>
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</p><textarea readonly="" accesskey="," id="wpTextbox1" cols="80" rows="25" style="" lang="de" dir="ltr" name="wpTextbox1">== Reference ==
Stanley Spencer: [[Creating and Modifying Images Using Newton's Method for Solving Equations]]. In: [[Bridges 2010]]. Pages 183–190 

== DOI ==

== Abstract ==
The pictures associated with Newton’s Method of finding the roots of an equation are familiar to mathematicians and
non-mathematicians. The main purpose of this paper is to look at ways by which a recognisable image can be produced
or modified using the same mathematical process. This paper looks at several ways that an arbitrary pixel image can
be iteratively transformed using Newton type algorithms. The standard approach of letting the pixels evolve towards
attractors was interesting, but a second approach, one that inverted the process so that attractors became expellers,
looks fruitful for creating interesting images. The process was designed to allow equations with up to a hundred roots
which created challenges but also opportunities for meaningful outcomes.

== Extended Abstract ==

== Bibtex == 

== Used References ==
[1] Peitgen and Richter, The Beauty of Fractals, ISBN 3-540-15851,-0 Springer, 1986

[2] Hans Lauwerier, Fractals Images of Chaos, ISBN 0-14-014411,-0 Penguin, 1991

[3] David Wells, Curious and Interesting Geometry, ISBN 0-14-011813-6, Penguin, 1991

[4] Chaos Theory, &lt;http://en.wikipedia.org/wiki/chaos_theory>, (Accessed 28.12.2007)

[5] http://www3.babson.edu/Archives/Newton_collection/MS416C.pdf (accessed 01.11.2009)

[6] http://www.polynmiography.com(accessed01.04.2010


== Links ==
=== Full Text === 
http://archive.bridgesmathart.org/2010/bridges2010-183.pdf

[[intern file]]

=== Sonstige Links ===
http://archive.bridgesmathart.org/2010/bridges2010-183.html
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Deprecated: header(): Passing null to parameter #3 ($response_code) of type int is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/WebResponse.php on line 42

Deprecated: header(): Passing null to parameter #3 ($response_code) of type int is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/WebResponse.php on line 42

Deprecated: header(): Passing null to parameter #3 ($response_code) of type int is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/WebResponse.php on line 42

Deprecated: header(): Passing null to parameter #3 ($response_code) of type int is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/WebResponse.php on line 42

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745