Les singularités des fonctions analytiques représentées par une série de Taylor

Enregistré dans:

Détails bibliographiques
Auteur principal:	Mandelbrojt, Szolem, 1899-1983.
Support:	Livre
Langue:	Français
Publié:	Paris : Gauthier-Villars, 1932.
Collection:	Mémorial des sciences mathématiques 54
Autres localisations:	Voir dans le Sudoc

+ d'infos
Description matérielle:	56 p ; 24 cm.

Université catholique de l'Ouest - Bibliothèques - 3 place André Leroy - BP10808 - 49008 ANGERS Cedex 1

Whoops! There was an error.

Whoops \ Exception \ ErrorException (E_NOTICE)

fwrite(): Write of 697 bytes failed with errno=28 No space left on device

Whoops\Exception\ErrorException thrown with message "fwrite(): Write of 697 bytes failed with errno=28 No space left on device" Stacktrace: #5 Whoops\Exception\ErrorException in /home/tamil/vufind/module/VuFind/src/VuFind/Session/File.php:152 #4 fwrite in /home/tamil/vufind/module/VuFind/src/VuFind/Session/File.php:152 #3 VuFind\Session\File:saveSession in /home/tamil/vufind/module/VuFind/src/VuFind/Session/AbstractBase.php:185 #2 VuFind\Session\AbstractBase:write in [internal]:0 #1 session_write_close in /home/tamil/vufind/vendor/laminas/laminas-session/src/SessionManager.php:235 #0 Laminas\Session\SessionManager:writeClose in [internal]:0

Application frames (0) All frames (6)

Whoops\Exception\ErrorException

…/module/VuFind/src/VuFind/Session/File.php152

fwrite

…/module/VuFind/src/VuFind/Session/File.php152

VuFind\Session\File saveSession

…/module/VuFind/src/VuFind/Session/AbstractBase.php185

VuFind\Session\AbstractBase write

[internal]0

session_write_close

…/vendor/laminas/laminas-session/src/SessionManager.php235

Laminas\Session\SessionManager writeClose

[internal]0

Open: /home/tamil/vufind/module/VuFind/src/VuFind/Session/File.php

            if (filemtime($filename) + $maxlifetime < time()) {
                unlink($filename);
            }
        }
        return true;
    }
 
    /**
     * A function that is called internally when session data is to be saved.
     *
     * @param string $sessId The current session ID
     * @param string $data   The session data to write
     *
     * @return bool
     */
    protected function saveSession($sessId, $data)
    {
        $sessFile = $this->path . '/sess_' . $sessId;
        if ($handle = fopen($sessFile, "w")) {
            $return = fwrite($handle, $data);
            fclose($handle);
            if ($return !== false) {
                return true;
            }
        }
        // If we got this far, something went wrong with the file output...
        // It is tempting to throw an exception here, but this code is called
        // outside of the context of exception handling, so all we can do is
        // echo a message.
        echo 'Cannot write session to ' . $sessFile . "\n";
        return false;
    }
}

Open: /home/tamil/vufind/module/VuFind/src/VuFind/Session/File.php

            if (filemtime($filename) + $maxlifetime < time()) {
                unlink($filename);
            }
        }
        return true;
    }
 
    /**
     * A function that is called internally when session data is to be saved.
     *
     * @param string $sessId The current session ID
     * @param string $data   The session data to write
     *
     * @return bool
     */
    protected function saveSession($sessId, $data)
    {
        $sessFile = $this->path . '/sess_' . $sessId;
        if ($handle = fopen($sessFile, "w")) {
            $return = fwrite($handle, $data);
            fclose($handle);
            if ($return !== false) {
                return true;
            }
        }
        // If we got this far, something went wrong with the file output...
        // It is tempting to throw an exception here, but this code is called
        // outside of the context of exception handling, so all we can do is
        // echo a message.
        echo 'Cannot write session to ' . $sessFile . "\n";
        return false;
    }
}

Open: /home/tamil/vufind/module/VuFind/src/VuFind/Session/AbstractBase.php

        // Anecdotal testing Today and Yesterday seems to indicate destroy()
        //   is called by the garbage collector and everything is good.
        // Something to keep in mind though.
        return true;
    }
 
    /**
     * Write function that is called when session data is to be saved.
     *
     * @param string $sessId The current session ID
     * @param string $data   The session data to write
     *
     * @return bool
     */
    public function write($sessId, $data)
    {
        if ($this->writesDisabled) {
            return true;
        }
        return $this->saveSession($sessId, $data);
    }
 
    /**
     * A function that is called internally when session data is to be saved.
     *
     * @param string $sessId The current session ID
     * @param string $data   The session data to write
     *
     * @return bool
     */
    abstract protected function saveSession($sessId, $data);
}

Open: [internal]

Open: /home/tamil/vufind/vendor/laminas/laminas-session/src/SessionManager.php

     *
     * @return void
     */
    public function writeClose()
    {
        // The assumption is that we're using PHP's ext/session.
        // session_write_close() will actually overwrite $_SESSION with an
        // empty array on completion -- which leads to a mismatch between what
        // is in the storage object and $_SESSION. To get around this, we
        // temporarily reset $_SESSION to an array, and then re-link it to
        // the storage object.
        //
        // Additionally, while you _can_ write to $_SESSION following a
        // session_write_close() operation, no changes made to it will be
        // flushed to the session handler. As such, we now mark the storage
        // object isImmutable.
        $storage  = $this->getStorage();
        if (! $storage->isImmutable()) {
            $_SESSION = $storage->toArray(true);
            session_write_close();
            $storage->fromArray($_SESSION);
            $storage->markImmutable();
        }
    }
 
    /**
     * Attempt to set the session name
     *
     * If the session has already been started, or if the name provided fails
     * validation, an exception will be raised.
     *
     * @param  string $name
     * @return SessionManager
     * @throws Exception\InvalidArgumentException
     */
    public function setName($name)
    {
        if ($this->sessionExists()) {
            throw new Exception\InvalidArgumentException(
                'Cannot set session name after a session has already started'

Open: [internal]

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	9gt9smhapi85mp1reg4rjari0g
ui	standard

Session

Key	Value
__Laminas	Array ( [_REQUEST_ACCESS_TIME] => 1721215912.048 [_VALID] => Array ( [Laminas\Session\Validator\Id] => 9gt9smhapi85mp1reg4rjari0g ) )
SessionState	Laminas\Stdlib\ArrayObject Object ( [storage:protected] => Array ( [cookiePath] => / ) [flag:protected] => 2 [iteratorClass:protected] => ArrayIterator [protectedProperties:protected] => Array ( [0] => storage [1] => flag [2] => iteratorClass [3] => protectedProperties ) )
FlashMessenger	Laminas\Stdlib\ArrayObject Object ( [storage:protected] => Array ( ) [flag:protected] => 2 [iteratorClass:protected] => ArrayIterator [protectedProperties:protected] => Array ( [0] => storage [1] => flag [2] => iteratorClass [3] => protectedProperties ) )

Server/Request Data

Key	Value
REDIRECT_VUFIND_ENV	development
REDIRECT_VUFIND_LOCAL_DIR	/home/tamil/vufind/local-uco
REDIRECT_VUFIND_LOCAL_MODULES	Tamil
REDIRECT_STATUS	200
VUFIND_ENV	development
VUFIND_LOCAL_DIR	/home/tamil/vufind/local-uco
VUFIND_LOCAL_MODULES	Tamil
HTTP_ACCEPT	/
HTTP_USER_AGENT	Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
HTTP_COOKIE	VUFIND_SESSION=9gt9smhapi85mp1reg4rjari0g; ui=standard
HTTP_ACCEPT_ENCODING	gzip, br, zstd, deflate
HTTP_HOST	vufind.uco.fr
PATH	/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/snap/bin
SERVER_SIGNATURE	<address>Apache/2.4.52 (Ubuntu) Server at vufind.uco.fr Port 80</address>
SERVER_SOFTWARE	Apache/2.4.52 (Ubuntu)
SERVER_NAME	vufind.uco.fr
SERVER_ADDR	193.49.1.3
SERVER_PORT	80
REMOTE_ADDR	18.117.102.227
DOCUMENT_ROOT	/var/www/html
REQUEST_SCHEME	http
CONTEXT_PREFIX	/
CONTEXT_DOCUMENT_ROOT	/home/tamil/vufind/public/
SERVER_ADMIN	webmaster@localhost
SCRIPT_FILENAME	/home/tamil/vufind/public/index.php
REMOTE_PORT	61651
REDIRECT_URL	/Record/53647/Description
GATEWAY_INTERFACE	CGI/1.1
SERVER_PROTOCOL	HTTP/1.1
REQUEST_METHOD	GET
QUERY_STRING
REQUEST_URI	/Record/53647/Description
SCRIPT_NAME	/index.php
PHP_SELF	/index.php
REQUEST_TIME_FLOAT	1721215912.035
REQUEST_TIME	1721215912

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Cannot write session to /home/tamil/tmp/vufind_sessions/sess_9gt9smhapi85mp1reg4rjari0g Whoops! There was an error.

Whoops \ Exception \ ErrorException (E_WARNING)

session_write_close(): Failed to write session data using user defined save handler. (session.save_path: /var/lib/php/sessions)

Whoops\Exception\ErrorException thrown with message "session_write_close(): Failed to write session data using user defined save handler. (session.save_path: /var/lib/php/sessions)" Stacktrace: #2 Whoops\Exception\ErrorException in /home/tamil/vufind/vendor/laminas/laminas-session/src/SessionManager.php:235 #1 session_write_close in /home/tamil/vufind/vendor/laminas/laminas-session/src/SessionManager.php:235 #0 Laminas\Session\SessionManager:writeClose in [internal]:0

Application frames (0) All frames (3)

Whoops\Exception\ErrorException

…/vendor/laminas/laminas-session/src/SessionManager.php235

session_write_close

…/vendor/laminas/laminas-session/src/SessionManager.php235

Laminas\Session\SessionManager writeClose

[internal]0

Open: /home/tamil/vufind/vendor/laminas/laminas-session/src/SessionManager.php

     *
     * @return void
     */
    public function writeClose()
    {
        // The assumption is that we're using PHP's ext/session.
        // session_write_close() will actually overwrite $_SESSION with an
        // empty array on completion -- which leads to a mismatch between what
        // is in the storage object and $_SESSION. To get around this, we
        // temporarily reset $_SESSION to an array, and then re-link it to
        // the storage object.
        //
        // Additionally, while you _can_ write to $_SESSION following a
        // session_write_close() operation, no changes made to it will be
        // flushed to the session handler. As such, we now mark the storage
        // object isImmutable.
        $storage  = $this->getStorage();
        if (! $storage->isImmutable()) {
            $_SESSION = $storage->toArray(true);
            session_write_close();
            $storage->fromArray($_SESSION);
            $storage->markImmutable();
        }
    }
 
    /**
     * Attempt to set the session name
     *
     * If the session has already been started, or if the name provided fails
     * validation, an exception will be raised.
     *
     * @param  string $name
     * @return SessionManager
     * @throws Exception\InvalidArgumentException
     */
    public function setName($name)
    {
        if ($this->sessionExists()) {
            throw new Exception\InvalidArgumentException(
                'Cannot set session name after a session has already started'

Open: /home/tamil/vufind/vendor/laminas/laminas-session/src/SessionManager.php

     *
     * @return void
     */
    public function writeClose()
    {
        // The assumption is that we're using PHP's ext/session.
        // session_write_close() will actually overwrite $_SESSION with an
        // empty array on completion -- which leads to a mismatch between what
        // is in the storage object and $_SESSION. To get around this, we
        // temporarily reset $_SESSION to an array, and then re-link it to
        // the storage object.
        //
        // Additionally, while you _can_ write to $_SESSION following a
        // session_write_close() operation, no changes made to it will be
        // flushed to the session handler. As such, we now mark the storage
        // object isImmutable.
        $storage  = $this->getStorage();
        if (! $storage->isImmutable()) {
            $_SESSION = $storage->toArray(true);
            session_write_close();
            $storage->fromArray($_SESSION);
            $storage->markImmutable();
        }
    }
 
    /**
     * Attempt to set the session name
     *
     * If the session has already been started, or if the name provided fails
     * validation, an exception will be raised.
     *
     * @param  string $name
     * @return SessionManager
     * @throws Exception\InvalidArgumentException
     */
    public function setName($name)
    {
        if ($this->sessionExists()) {
            throw new Exception\InvalidArgumentException(
                'Cannot set session name after a session has already started'

Open: [internal]

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	9gt9smhapi85mp1reg4rjari0g
ui	standard

Session

Key	Value
__Laminas	Array ( [_REQUEST_ACCESS_TIME] => 1721215912.048 [_VALID] => Array ( [Laminas\Session\Validator\Id] => 9gt9smhapi85mp1reg4rjari0g ) )
SessionState	Laminas\Stdlib\ArrayObject Object ( [storage:protected] => Array ( [cookiePath] => / ) [flag:protected] => 2 [iteratorClass:protected] => ArrayIterator [protectedProperties:protected] => Array ( [0] => storage [1] => flag [2] => iteratorClass [3] => protectedProperties ) )
FlashMessenger	Laminas\Stdlib\ArrayObject Object ( [storage:protected] => Array ( ) [flag:protected] => 2 [iteratorClass:protected] => ArrayIterator [protectedProperties:protected] => Array ( [0] => storage [1] => flag [2] => iteratorClass [3] => protectedProperties ) )

Server/Request Data

Key	Value
REDIRECT_VUFIND_ENV	development
REDIRECT_VUFIND_LOCAL_DIR	/home/tamil/vufind/local-uco
REDIRECT_VUFIND_LOCAL_MODULES	Tamil
REDIRECT_STATUS	200
VUFIND_ENV	development
VUFIND_LOCAL_DIR	/home/tamil/vufind/local-uco
VUFIND_LOCAL_MODULES	Tamil
HTTP_ACCEPT	/
HTTP_USER_AGENT	Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
HTTP_COOKIE	VUFIND_SESSION=9gt9smhapi85mp1reg4rjari0g; ui=standard
HTTP_ACCEPT_ENCODING	gzip, br, zstd, deflate
HTTP_HOST	vufind.uco.fr
PATH	/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/snap/bin
SERVER_SIGNATURE	<address>Apache/2.4.52 (Ubuntu) Server at vufind.uco.fr Port 80</address>
SERVER_SOFTWARE	Apache/2.4.52 (Ubuntu)
SERVER_NAME	vufind.uco.fr
SERVER_ADDR	193.49.1.3
SERVER_PORT	80
REMOTE_ADDR	18.117.102.227
DOCUMENT_ROOT	/var/www/html
REQUEST_SCHEME	http
CONTEXT_PREFIX	/
CONTEXT_DOCUMENT_ROOT	/home/tamil/vufind/public/
SERVER_ADMIN	webmaster@localhost
SCRIPT_FILENAME	/home/tamil/vufind/public/index.php
REMOTE_PORT	61651
REDIRECT_URL	/Record/53647/Description
GATEWAY_INTERFACE	CGI/1.1
SERVER_PROTOCOL	HTTP/1.1
REQUEST_METHOD	GET
QUERY_STRING
REQUEST_URI	/Record/53647/Description
SCRIPT_NAME	/index.php
PHP_SELF	/index.php
REQUEST_TIME_FLOAT	1721215912.035
REQUEST_TIME	1721215912

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Les singularités des fonctions analytiques représentées par une série de Taylor

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