Modular Arithmetic 4.1

Benjamin Burton ❘ Commerciale ❘
iOS
fuori voti 4

Ultima versione
4.1 Cassaforte da installare

Report a Problem

Questo non è un modulo da scaricare!

La banca dati di UpdateStar è gestita dagli utenti, per gli utenti.
Con il vostro supporto potrete aiutare tutti gli altri utenti a mantenere aggiornati i programmi installati. Riempite tutti i campi che sono non corretti o non aggiornati. Noi verificheremo e valuteremo il tuo contributo il più presto possibile.
Grazie per il sostegno ad UpdateStar!

Titolo:

Categoria:

Requisiti:

Android

iOS

Windows

Mac

Linux

Licenza:

Editore:

URL Editore:

Descrizione:

The Modular Arithmetic Calculator offers a streamlined approach to performing arithmetic operations modulo N. By allowing users to select a fixed modulus, it alleviates the need to repeatedly engage a "mod" button during calculations. This calculator is characterized by several key features:

<ul>
 <li>Adherence to conventional order of operations;</li>
 <li>Support for arbitrarily large integers;</li>
 <li>Efficient execution of modular division and exponentiation;</li>
 <li>Capability to display a complete transcript of calculations.</li>
</ul>

Modular arithmetic, fundamentally understood as a "calculus of remainders," is integral across various fields of mathematics and computer science, with notable applications in cryptography, coding systems for barcodes, and even in music theory.

The core principle involves selecting a modulus N and thereby reducing each number to one of the integers in the range 0 to N−1 based on the remainder obtained from division by N. For illustrative purposes, consider a modulus of 17:

40 ≡ 6 (since dividing 40 by 17 yields a remainder of 6);
17 ≡ 0 (since dividing 17 by 17 results in no remainder).

The calculator respects these modular rules in arithmetic operations as well. Continuing with the modulus of 17:

15 + 7 ≡ 5 (since 22 reduces to 5);
3 × 9 ≡ 10 (as 27 reduces to 10);
5 ^ 3 ≡ 6 (because 125 reduces to 6).

Subtraction and division are also consistent with this modular framework:

−1 ≡ 16 (as 16 + 1 = 17 ≡ 0);
1/2 ≡ 9 (since 9 × 2 = 18 ≡ 1); 
4 - 7 ≡ 14 (since 14 + 7 = 21 ≡ 4); 
7 ÷ 3 = 8 (as 8 × 3 = 24 ≡ 7).

The concept excludes negative numbers and fractions; such cases are also reduced to one of the integers from the set {0,1,...,N−1}. Division by zero is prohibited, as is division when the divisor shares common factors with the modulus. When employing a modulus of 10, errors arise in the following operations:

<ul>
 <li>3 ÷ 20 (as 20 ≡ 0);</li>
 <li>7 ÷ 8 (because 8 and 10 share a common factor of 2). </li>
</ul>

The calculator accommodates integers of any size. For example, setting the modulus to a Mersenne prime, specifically 2305843009213693951, illustrates that:

5 ^ 2305843009213693950 ≡ 1, as per Fermat's little theorem.

The underlying code is meticulously designed and verified through an extensive suite of no fewer than 186 automated tests.

This application further enhances user experience by supporting external keyboards, Siri Shortcuts, as well as multitasking features on iPad such as Slide Over, Split View, and multiple windows.

Tag:

Breve descrizione:

Versione installata sconosciuto?

Versione corrente:

URL per il download:

URL per il download diretto:

URL per l'acquisto:

URL icona:

Schermata 1 URL:

Schermata 2 URL:

Schermata 3 URL:

Schermata 4 URL:

PAD file URL:

Commento:

Il tuo indirizzo e-mail:

Newsletter:

Inserisci il tuo indirizzo e-mail. Ti potremo contattare se avessimo domande riguardanti il tuo contributo. Non comunicheremo mai il tuo indirizzo e-mail a terze parti.

Schermate (Clicca per ingrandire)

Ultime recensioni

Wireless Network Watcher

Monitora facilmente l'attività della tua rete wireless

TOSHIBA Web Camera Application

Pulita, nitida e comoda: l'applicazione TOSHIBA Web Camera offre prestazioni di altissimo livello!

X-Mouse Button Control

Personalizza i tasti del mouse con il controllo X-Mouse Button!

Conexant 20561 SmartAudio HD

Migliora la tua esperienza audio con Conexant 20561 SmartAudio HD

PreSonus Studio One

Software potente per la produzione musicale sia per professionisti che per principianti.

Hekasoft PassKeeper

Proteggi le tue password con Hekasoft PassKeeper

Imparentato

Learn Quantum Physics Pro

Learn Quantum Physics app is targeted towards students, research, and teaching professionals. The content covers a wide array of topics related to quantum physics in a clear and easily understandable manner.

Math Ref

Math Ref is an educational app that has received accolades for its comprehensive content. With a database of over 1,400 formulas, illustrations, and examples, it covers various subjects including math, physics, and chemistry.

TurtleArt: Make Art with Code

TurtleArt is an innovative application designed to blend artistic expression with coding fundamentals. By utilizing a block-based approach, users can connect puzzle-like pieces to create a sequence of commands, leading to the visual …

Tutorial for Apache

This comprehensive guide aims to serve as a definitive reference for Apache Ant and Apache POI documentation. The resources are organized into detailed tutorials and overviews designed to facilitate a professional understanding of each …

Ultima versione
4.1

Acquista ora
App Store

Rimani aggiornato
con UpdateStar freeware.

Download più popolari

	UpdateStar Premium Edition Mantenere aggiornato il tuo software non è mai stato così facile con UpdateStar Premium Edition!
	Google Chrome Browser Web veloce e versatile
	Microsoft Edge Un nuovo standard nella navigazione web
	Microsoft OneDrive Semplifica la gestione dei file con Microsoft OneDrive
	Microsoft Visual C++ 2015 Redistributable Package Migliora le prestazioni del tuo sistema con Microsoft Visual C++ 2015 Redistributable Package!
	Microsoft Visual C++ 2010 Redistributable Componente essenziale per l'esecuzione di applicazioni Visual C++