| Geliştirici: | Benjamin Burton (5) | ||
| Fiyat: | $1.99 | ||
| Sıralamalar: | 0 | ||
| Yorumlar: | 0 Yorum Yazın | ||
| Listeler: | 0 + 0 | ||
| Puanlar: | 0 + 4 (5.0) ¡ | ||
| App Store | |||
Açıklama
- follows the order convention;
- supports arbitrarily large numbers;
- performs fast modular division and exponentiation;
- can show a full transcript of your calculation.
Modular arithmetic is a "calculus of remainders". It features throughout mathematics and computer science, and has applications from cryptography to barcodes to music.
The basic idea is that you choose a modulus N, and then reduce every number to one of the integers 0,1,2,...,N−1 according to what remainder it leaves when dividing by N.
For example, using a modulus of 17:
40 ≡ 6 (since 40 ÷ 17 leaves a remainder of 6);
17 ≡ 0 (since 17 ÷ 17 leaves no remainder at all).
Arithmetic follows these same rules. Still using a modulus of 17:
15 + 7 ≡ 5 (since 22 ≡ 5);
3 × 9 ≡ 10 (since 27 ≡ 10);
5 ^ 3 ≡ 6 (since 125 ≡ 6).
Subtraction and division behave in a way that complements addition and multiplication:
−1 ≡ 16 (since 16 + 1 = 17 ≡ 0);
1/2 ≡ 9 (since 9 × 2 = 18 ≡ 1);
4 - 7 ≡ 14 (since 14 + 7 = 21 ≡ 4);
7 ÷ 3 = 8 (since 8 × 3 = 24 ≡ 7).
There are no negative numbers or fractions: like −1 and 7 ÷ 3 in the examples above, these are also reduced to one of 0,1,...,N−1.
As usual, you cannot divide by zero. You also cannot divide if the right hand side has any common factors with the modulus. If we change our modulus to 10, then the following operations all generate errors:
3 ÷ 20 (since 20 ≡ 0);
7 ÷ 8 (since 8 and 10 have a common factor of 2).
Integers can be arbitrarily large. For instance, if we set our modulus to 2305843009213693951 (a Mersenne prime), then:
5 ^ 2305843009213693950 ≡ 1 (by Fermat's little theorem).
The code is written carefully, and is backed up by a thorough suite of 186 automated tests.
This app supports external keyboards, Siri Shortcuts, and (on iPad) Slide Over, Split View, and multiple windows.
Ad
Ekran görüntüleri
Fiyat
- Bugün: $1.99
- En az: $1.99
- Maksimum: $1.99
Fiyatları takip et
Ad
Geliştirici
- Benjamin Burton
- Platformlar: iOS Uygulamalar (4) macOS Uygulamalar (1)
- Listeler: 1 + 0
- Puanlar: 0 + 57 ¡
- Sıralamalar: 0
- Yorumlar: 0
- İndirimler: 0
- Video: 0
- RSS: Abone ol
Puanlar
0 ☹️
Sıralamalar
0 ☹️
Listeler
0 ☹️
- Modular Arithmetic
Yorumlar
İnceleme yazan ilk kişi siz olun 🌟
Ek Bilgi
- Sürüm: 4.1
- Kategori:
iOS Uygulamalar›Eğitim - İşletim Sistemleri:
iPad,iPhone,macOS,iOS 12.0 ve sonrası - Boyut:
2 Mb - Desteklenen diller:
English - İçerik Derecelendirmesi:
4+ - App Store Kullanıcı Oyu:
5.0(4) - Güncellendi:
- Satışa çıkış tarihi:
Modular Arithmetic Kısa URL: Kopyalandı!- 🌟 Paylaş
- App Store
Şunları da beğenebilirsiniz
-
- Arithmetic Calculators
- iOS Uygulamalar: Eğitim Göre: H Valeur
- $1.99
- Listeler: 0 + 0 Sıralamalar: 0 Yorumlar: 0
- Puanlar: 8 + 0 Sürüm: 1.1 Arithmetic is the study of the basic operations of addition, subtraction, multiplication, and division. These operations are used in all other areas of mathematics, such as algebra, ... ⥯
-
- Arithmetic
- iOS Uygulamalar: Eğitim Göre: Ivan Ramiscal
- $4.99
- Listeler: 0 + 0 Sıralamalar: 0 Yorumlar: 0
- Puanlar: 0 + 1 (1.0) Sürüm: 004.1 Introducing Arithmetic Your Ultimate Math Companion! Are you ready to sharpen your math skills while having fun? Say hello to Arithmetic, the app designed to make learning math ... ⥯
-
- Arithmetic Challenge Kids Math
- iOS Uygulamalar: Eğitim Göre: Snow Line Software S.P.R.L.
- Ücretsiz
- Listeler: 0 + 0 Sıralamalar: 0 Yorumlar: 0
- Puanlar: 0 + 0 Sürüm: 1.0 Arithmetic Challenge makes learning math fun and engaging for children of all ages. Completely free without any advertising. Through colorful challenges and friendly competition, kids ... ⥯
-
- Arithmetic Workbook DX
- iOS Uygulamalar: Eğitim Göre: Gloding Inc.
- Ücretsiz
- Listeler: 0 + 0 Sıralamalar: 0 Yorumlar: 0
- Puanlar: 0 + 0 Sürüm: 3.7.7 Competing the results of learning in the national ranking. Judgment is decided on score and points. Reviewing and redoing the workbook which finished are available. "Arithmetic ... ⥯
-
- Arithmetic Review - GRE® Lite
- iOS Uygulamalar: Eğitim Göre: Webrich Software Limited
- Ücretsiz
- Listeler: 0 + 0 Sıralamalar: 0 Yorumlar: 0
- Puanlar: 0 + 3 (4.3) Sürüm: 7 Prepare to achieve the GRE scores you need to get into your top choice schools. Get ready for the test day with this most comprehensive app on GRE Math : Arithmetic Review. Features ... ⥯
-
- Arithmetic Play & Practice
- iOS Uygulamalar: Eğitim Göre: Shahul Hameed
- Ücretsiz
- Listeler: 0 + 0 Sıralamalar: 0 Yorumlar: 0
- Puanlar: 0 + 0 Sürüm: 2.6 This app combines number puzzles, math games, and logic challenges, making math practice fun for kids and learners of all ages. Math Practice Practice addition, subtraction, ... ⥯
-
- Arithmetic Wiz - Math Drills
- iOS Uygulamalar: Eğitim Göre: The Rocket Studio
- * Ücretsiz
- Listeler: 0 + 0 Sıralamalar: 0 Yorumlar: 0
- Puanlar: 0 + 1 (2.0) Sürüm: 3.1 - Great way for kids to do arithmetic drills the fun way. Let them become very good at adding, subtracting, dividing and multiplying numbers, which are important life skills. "Son, do ... ⥯
-
- Arithmetic Means
- iOS Uygulamalar: Eğitim Göre: Science Education Institute
- Ücretsiz
- Listeler: 0 + 0 Sıralamalar: 0 Yorumlar: 0
- Puanlar: 0 + 0 Sürüm: 1.0 The DOST Courseware is a locally-produced, all-original Filipino highly interactive multimedia educational application packages that are conceptualized, digitized and produced as ... ⥯
-
- Arithmetic HD
- iOS Uygulamalar: Eğitim Göre: Kostakov Maxim
- $1.99
- Listeler: 0 + 1 Sıralamalar: 0 Yorumlar: 0
- Puanlar: 14 + 0 Sürüm: 1.0.10 Learning basic math operations - addition, subtraction, multiplication, and division. Checking the knowledge of the multiplication table. ... ⥯
-
- Arithmetic Worksheet
- iOS Uygulamalar: Eğitim Göre: 言 许
- Ücretsiz
- Listeler: 0 + 0 Sıralamalar: 0 Yorumlar: 0
- Puanlar: 0 + 0 Sürüm: 1.1.1 1 Select the respondent, and also edit or add user information. 2 Set question types, including addition, subtraction, multiplication, division and mixing. 3 Set the number of ... ⥯
-
- Mental Arithmetic mobil
- iOS Uygulamalar: Eğitim Göre: Heinrich Piper
- Ücretsiz
- Listeler: 0 + 0 Sıralamalar: 0 Yorumlar: 0
- Puanlar: 0 + 0 Sürüm: 2.1.1 With this app, mental arithmetic can be learned and trained ⥯
-
- Math Flash - Fast Arithmetic
- iOS Uygulamalar: Eğitim Göre: Joel Boyd
- Ücretsiz
- Listeler: 0 + 1 Sıralamalar: 0 Yorumlar: 0
- Puanlar: 6 + 2 (5.0) Sürüm: 1.2.1 Math Flash : Build Math Skills with Precision & Speed! Tired of guesswork when it comes to learning math? Math Flash offers a focused, no nonsense approach to mastering multiplication, ⥯
-
- CaQ Arithmetic Premium
- iOS Uygulamalar: Eğitim Göre: Manus Breuking
- $1.99
- Listeler: 0 + 0 Sıralamalar: 0 Yorumlar: 0
- Puanlar: 0 + 0 Sürüm: 1.7.1 The full version of the Correct and Quick Arithmetic Premium app is available especially for schools. The app is free of advertising. With Family Sharing set up, up to six family ... ⥯
-
- Math Games for Kids:Arithmetic
- iOS Uygulamalar: Eğitim Göre: 东波 关
- Ücretsiz
- Listeler: 0 + 0 Sıralamalar: 0 Yorumlar: 0
- Puanlar: 3 + 0 Sürüm: 1.0.2 Help young learners master arithmetic with Arithmetic, the fun, intuitive mental math app designed specifically for elementary students! Perfect for kids aged 6 12, this app turns ... ⥯