Forms of Nice Functions

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autore principale:	O'Farrell, Anthony G.
Natura:	Preprint
Pubblicazione:	2025
Soggetti:	Group Theory 39-01 (Primary) 20-01 (Secondary)
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

Automorphically Equivalent Elements of Finite Abelian Groups
di: Agarwal, Arjun, et al.
Pubblicazione: (2025)

The directed Cayley diameter and the Davenport constant
di: András, Réka, et al.
Pubblicazione: (2024)

Introducing $n$-Magic Groups and Characterizing $3$-Magic Finitely Generated Abelian Groups
di: Bowerman, Danielle, et al.
Pubblicazione: (2023)

On Generalized Characters Whose Values on Nonidentity Elements are Sums of at Most Two Roots of Unity
di: Herbig, Christopher
Pubblicazione: (2025)

Continuous Inverse Ambiguous Functions on Lie Groups
di: Schmitz, David, et al.
Pubblicazione: (2025)

Jensen's Functional Equation on Involution-Generated Groups: An ($\mathrm{SR}_2$) Criterion and Applications
di: Phuc, Dang Vo
Pubblicazione: (2025)

Doubly Sequenceable Groups
di: Javaheri, Mohammad
Pubblicazione: (2022)

Mathematical Proof
di: Bauschke, Heinz H.
Pubblicazione: (2026)

Functional degrees and arithmetic applications III: Beyond Prime Exponent
di: Clark, Pete L., et al.
Pubblicazione: (2023)

Cyclic-quasi-injective for Finite Abelian Groups
di: Fujiyoshi, Yusuke
Pubblicazione: (2025)

Companion matrices, permutations and lattice ideals
di: Udo, Nsibiet E., et al.
Pubblicazione: (2025)

On Some Bi-Cayley Graphs over Cyclic Groups of Order $p^2 q^2$ and Related Extensions
di: Atmaja, Iqbal, et al.
Pubblicazione: (2026)

Some more proofs from the Book: solvability and insolvability of equations in radicals
di: Skopenkov, A.
Pubblicazione: (2008)

Dualities for finite abelian groups and applications to coding theory
di: Wood, Jay A.
Pubblicazione: (2026)

On Matrix Product Factorization of Cayley graphs
di: Herman, Allen W., et al.
Pubblicazione: (2025)

Minimal Product Set in Non-Abelian Metacyclic Groups of Even Order
di: Benavides, Fernando Andres, et al.
Pubblicazione: (2025)

Bases for free Lie superalgebras
di: Vaughan-Lee, Michael
Pubblicazione: (2024)

The theorems on freedom for relatively free Lie algebras with a relations
di: Krasnikov, A. F.
Pubblicazione: (2022)

The Lyapin's notebook: a collection of unsolved problems in Semigroup Theory
di: Bershadsky, S., et al.
Pubblicazione: (2026)

Counting Irreducible Representations of a Finite Abelian Group
di: Breuer, Thomas, et al.
Pubblicazione: (2025)

Conjugacy classes of completely reducible cyclic subgroups of GL$(2, q)$
di: Kumar, Prashun, et al.
Pubblicazione: (2024)

Comparing varieties generated by certain wreath products of groups
di: Mikaelian, V. H.
Pubblicazione: (2024)

Wiring switches to more light bulbs
di: Buckley, Stephen M., et al.
Pubblicazione: (2024)

Interaction Decomposition of prediction function
di: Iwasawa, Hirokazu, et al.
Pubblicazione: (2024)

Relative Lie central extension and Schur multiplier of pairs of multiplicative Lie algebras
di: Singh, Dev Karan, et al.
Pubblicazione: (2025)

On visualisation of completions of free groups
di: Neretin, Yury A.
Pubblicazione: (2025)

A note about Jordan's bound on the size of finite linear groups
di: Müller, Peter
Pubblicazione: (2026)

Assumptions and Bounds in the Instrumental Variable Model
di: Richardson, Thomas S., et al.
Pubblicazione: (2024)

Sampling lattice points in a polytope: a Bayesian biased algorithm with random updates
di: Bakenhus, Miles, et al.
Pubblicazione: (2023)

Transcendental Functions on Continued Fractions
di: Collins, Michael J.
Pubblicazione: (2024)

On some geometric interpretations of fractional-order operators
di: Podlubny, Igor
Pubblicazione: (2024)

Finite solvable tidy Groups whose orders are divisible by two primes
di: Beike, Nicolas F., et al.
Pubblicazione: (2024)

Textual analysis of ancient Indian mathematics
di: Kichenassamy, Satyanad
Pubblicazione: (2025)

The history of three wrong definitions
di: Boas, Harold P.
Pubblicazione: (2026)

Thresholds for zero-sums with small cross numbers in abelian groups
di: Bushaw, Neal, et al.
Pubblicazione: (2023)

A New Algorithm for Computing the Frobenius Number
di: Taheri, Abbas, et al.
Pubblicazione: (2024)

A Group with Exactly One Noncommutator
di: Hatem, Omar, et al.
Pubblicazione: (2025)

On finite groups with exactly one noncommutator
di: Skresanov, Saveliy V.
Pubblicazione: (2025)

Minimal sized generating sets of permutation groups
di: Holt, Derek F., et al.
Pubblicazione: (2024)

On the Graham--Sloane harmonious labelling conjecture
di: Müyesser, Alp, et al.
Pubblicazione: (2025)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * 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): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($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.

// 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 0; } /** * 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, $data): bool { if ($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): bool; }

* * @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'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"60b2b6c871811559aafcaaf59c609694"
language	"it"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790712591.1717 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "60b2b6c871811559aafcaaf59c609694" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
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=60b2b6c871811559aafcaaf59c609694; language=it; ui=standard"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.216.147"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"56223"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2504_16611/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2504_16611/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790712591.1644
REQUEST_TIME	1790712591

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler