Modular Arithmetic 4.1

Benjamin Burton ❘ Kommerziell ❘
iOS
aus 4 Bewertungen

Report a Problem

Dies ist kein Download-Formular!

Die UpdateStar-Programmdatenbank wird von Anwendern für Anwender gepflegt.
Mit deiner Unterstützung hilfst du allen anderen Anwendern, ihr Software-Setup auf dem neuesten Stand zu halten. Bitte fülle alle Felder aus, die nicht korrekt oder nicht aktuell sind. Wir werden deine Aktualisierung schnellstmöglich berücksichtigen.
Vielen Dank, dass du UpdateStar unterstützt!

Titel:

Kategorie:

Anforderungen:

Android

iOS

Windows

Mac

Linux

Lizenz:

Hersteller:

Hersteller URL:

Beschreibung:

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.

Tags:

Kurzbeschreibung:

Installierte Version unbekannt?

Aktuelle Version:

Download URL:

Direkte Download URL:

Online-Shop URL:

Icon URL:

Screenshot 1 URL:

Screenshot 2 URL:

Screenshot 3 URL:

Screenshot 4 URL:

PAD Datei URL:

Kommentar:

Ihre E-Mail:

Newsletter:

Bitte gib deine E-Mail-Adresse ein, wenn wir dich für evtl. Rückfragen kontaktieren können. Wir geben deine E-Mail-Adresse niemals an Dritte weiter.

Screenshots (Klicken, um zu vergrößern)

Neueste Reviews

Autopsy

Autopsie: Eine umfassende digitale forensische Lösung

Duplicate Photo Cleaner

Reinigen Sie Ihre Fotobibliothek mühelos mit doppeltem Fotoreiniger

Picture Control Utility x64

Verwalten und passen Sie die Bildeinstellungen mühelos mit dem Picture Control Utility x64 von Nikon an.

Feeding Frenzy

Tauche ein in Unterwasserspaß mit Feeding Frenzy!

Google One

Google One von CentBrowser: Ein solider Cloud-Speicher-Begleiter

Assassin's Creed Revelations

Entschlüsseln Sie die Geheimnisse der beiden Universen in Assassin's Creed Revelations

Verwandt

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 …

Neueste Version
4.1

Jetzt kaufen
App Store

Bleib up-to-date
mit UpdateStar Freeware.

Beliebteste Downloads

	UpdateStar Premium Edition Mit der UpdateStar Premium Edition war es noch nie so einfach, Ihre Software auf dem neuesten Stand zu halten!
	Google Chrome Schneller und vielseitiger Webbrowser
	Microsoft Edge Ein neuer Standard beim Surfen im Internet
	Microsoft OneDrive Optimieren Sie Ihre Dateiverwaltung mit Microsoft OneDrive
	Microsoft Visual C++ 2015 Redistributable Package Steigern Sie Ihre Systemleistung mit Microsoft Visual C++ 2015 Redistributable Package!
	Microsoft Visual C++ 2010 Redistributable Wesentliche Komponente zum Ausführen von Visual C++-Anwendungen