Prime numbers

The study studies the problem naturally through relatively elementary results, including those from number theory and quadratic forms, to construct the formula to calculate the number of solutions of the aforementioned congruence.

8p visergeyne 18-06-2024 1 0   Download

Ebook "Advanced number theory" presents the following content: Review of elementary number theory and croup theory; characters; some algebraic concepts; basis theorems; further applications of basis theorems; unique factorization and units; unique factorization into ideals; norms and ideal classes; glass structure in quadratic fields; class number formulas and primes in arithmetic progression; quadratic reciprucity; quadratic forms and ideals; compositions, orders, and genera.

283p zizaybay1103 29-05-2024 2 2   Download

Ebook Probabilistic & statistical methods in cryptology presents the following content: Chapter 1 classical polyalphabetic substitution ciphers; chapter 2 rsa and probabilistic prime number tests; chapter 3 factorization with quantum computers: shor’s algorithm; chapter 4 physical random-number generators; chapter 5 pseudo-random number generators; chapter 6 an information theory primer; chapter 7 tests for (pseudo-)random number generators; chapter 8 diffie-hellman key exchange; chapter 9 differential cryptanalysis; chapter 10 semantic security; chapter 11 algorithmic complexity; chapter 1...

159p zizaybay1103 29-05-2024 2 2   Download

In Vietnam, there is diversity in the writing systems of different ethnic groups with various characteristics, with 34/53 ethnic minorities in Vietnam each having their own scripts, some ethnic groups use more than one script. Decision No.153/CP promulgated by the Prime Minister on 20th August, 1969 (amended by the Council of Ministers on 22nd February, 1980) “Refer to construct, improve and apply the ethnic minorities writing systems”, has played a big role in this process.

17p vibego 02-02-2024 3 1   Download

Ebook Computer security and cryptography part 2 includes contents: Chapter 9 block-ciphers: lucifer, DES, and AES; chapter 10 the paradigm of public key cryptography; chapter 11 the knapsack cryptosystem; chapter 12 the rsa cryptosystem; chapter 13 prime numbers and factorization; chapter 14 the discrete logarithm problem; chapter 15 elliptic curve cryptography; chapter 16 key exchange in a network; chapter 17 digital signatures and authentication; chapter 18 applications of cryptography; chapter 19 cryptographic patents.

239p haojiubujain06 05-09-2023 8 3   Download

Part 1 of ebook "Proofs from the book" provides readers with contents including: number theory; geometry; six proofs of the infinity of primes; bertrand’s postulate; binomial coefficients are (almost) never powers; representing numbers as sums of two squares; the law of quadratic reciprocity; every finite division ring is a field; hilbert’s third problem - decomposing polyhedra; lines in the plane and decompositions of graphs; the slope problem;...

126p hanlinhchi 29-08-2023 6 2   Download

Part 1 of ebook "A pythagorean introduction to number theory: Right triangles, sums of squares, and arithmetic" has presents the following content: foundational material; basic number theory; integral solutions to the pythagorean equation; what integers are areas of right triangles; what numbers are the edges of a right triangle; primes of the form 4k+1; gauss sums, quadratic reciprocity, and the jacobi symbol;...

143p dieptieuung 20-07-2023 4 2   Download

Advanced Algorithms Analysis and Design - Lecture 38: Number theoretic algorithms (Definitions and some important results). In this lecture we will cover the following: applications of number theory; divisibility; numbers; prime numbers; relatively prime numbers; GCD; partitioning of Integers; congruency classes; proofs of some results;...

38p andromedashun 26-05-2022 8 1   Download

Advanced Algorithms Analysis and Design - Lecture 39: Number theoretic algorithms (Theorems and algorithms). In this lecture we will cover the following: some more proofs; GCD as a linear combination; finding GCD, a recursive theorem; Euclid’s algorithm; extended Euclid’s algorithm; time complexity of Euclid’s algorithm;...

36p andromedashun 26-05-2022 16 1   Download

Lecture Digital Logic & Design: Lesson 13 provide students with knowledge about odd prime number; combinational logic: implementation of SOP using AND-OR, implementation of POS using OR-AND; design and implementation of digital circuits; adjacent 1s detector circuit;...

32p hanthienngao 15-04-2022 9 1   Download

Lecture Digital Logic & Design: Lesson 19 provide students with knowledge about programmable logic devices; programmable OR/AND gate arrays (fig 3); programmed OR/AND gate arrays (fig 4); PLD types: PROM (fig 5), PLA (fig 6), PAL (fig 7), GAL (fig 8); PAL programmed for SOP (fig 9);...

7p hanthienngao 15-04-2022 16 1   Download

Lecture Digital Logic & Design: Lesson 20 provide students with knowledge about programmable logic devices; PLA: implementing constant 0s and 1s (fig 1), implementing odd-prime number (fig 2); GALs: generic array logic structure (fig 3, 4), output logic macro cells OLMCs (fig 5), GAL ID (fig 6), programming of GAL;...

7p hanthienngao 15-04-2022 14 1   Download

Transcranial direct current stimulation (tDCS) is a non-invasive type of brain stimulation that uses electrical currents to modulate neuronal activity. A small number of studies have investigated the effects of tDCS on cognition in patients with Mild Cognitive Impairment (MCI) and Alzheimer’s disease (AD), and have demonstrated variable effects.

12p vinobelprisen 26-03-2022 13 4   Download

Lecture Cryptography and network security: Chapter 9 after studying this section will help you understand: To introduce prime numbers and their applications in cryptography. To discuss some primality test algorithms and their efficiencies. To discuss factorization algorithms and their applications in cryptography.

50p hoathachthao090 10-02-2022 24 4   Download

The contact organizations for climate change and a number of relevant agencies are proposed for additional tasks on NAMAs/MRV. These agencies will work closely with NAMA implementers to carry out monitoring, reporting and verification. To complete the legal framework for the national MRV system, a number of legal documents that need to be issued by the Prime Minister, also the head of the National Committee on Climate Change. These documents need to specify the roles and responsibilities, as well as the cooperation mechanism among the ministries and relevant departments in the MRV system.

14p huyetthienthan 23-11-2021 14 1   Download

The observations on germination, days to 50% flowering, height of stalk, number of umbels, circumference of umbel, days to maturity, per plant yield (g), seed yield per hectare (kg), germination percentage and seedling vigour of harvested seed were recorded.

7p chauchaungayxua10 18-03-2021 14 2   Download

This research investigates the relationship between microeconomic, macroeconomic variables and number of cars sold in US. The main objective is to determine the factors that affecting the number of car sold in US. This research covers the time period from 1975 to 1990. The analysis methods that have been applied in this study include descriptive statistics, linear regression and correlation analysis.

36p daothikimlinh 25-02-2021 30 8   Download

Lecture 8 More Karnaugh Maps and Don’t Cares. The main contents of the chapter consist of the following: Karnaugh maps with four inputs, same basic rules as three input k-maps, understanding prime implicants, related to minterms, covering all implicants, using don’t cares to simplify functions, don’t care outputs are undefined, summarizing Karnaugh maps.

30p larachdumlanat126 31-12-2020 17 2   Download

In recent years, determining the parameter of strongly regular graph is a important problem of the theory graph. However, when the number of vertices of a strongly regular graph (called n) is any number, determining its parameter is very difficult and nobody can solve this problem.

15p larachdumlanat127 20-12-2020 7 1   Download

This article presents building an Elliptic curve cryptography and using it to encode and decode Vietnamese text. Here we have illustrated the prime number p = 151 in the future, which will use a large prime number. We consider an elliptic curve with a total score of 172 points. Encode and decode with standard Vietnamese text and combine with the special characters in ASCII code.

8p larachdumlanat127 20-12-2020 19 0   Download