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Programming Fundamentals by Authors and Contributors is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License, except where otherwise noted. Creative Commons Attribution CC-BY License You are free to: • Share — copy and redistribute the material in any medium
9 mar 2024 · The concept of modular arithmetic is to find the remainder of a number upon division by another number. For example, if we have “A mod B” and we increase ‘A‘ by a multiple of ‘B‘, we will end up in the same spot, i.e.,”. A mod B = (A + K * B) mod B” for any integer ‘K‘.
How to solve $$$3 = 4x + 5\ \text{ mod } 10^9 + 7$$$? Simply pretend that $$$x$$$ is a real number and get $$$x = -1/2\ \text{ mod } 10^9 + 7 = 500000003$$$. (Technically, all $$$x$$$ whose residue is $$$500000003$$$, including rationals, will satisfy the equation.)
programming changes from an art to a science when we learn to understand programs in the same way we understand mathematical theorems. With a scientific outlook, we change our view
We use the Java programming language for all of the programs in this book— we refer to Java after programming in the title to emphasize the idea that the book is about fundamental concepts in programming, not Java per se. This book teaches basic skills for computational problem-solving that are applicable in many modern
13 lut 2024 · CHAPTER 1. INTRODUCTION 2 Background Needed The book assumes familiarity with the basics of OCaml, including the module system (but not the objects, the “O” in OCaml).
Why study programming languages? To improve the ability to develop effective algorithms. To improve the use of familiar languages. To increase the vocabulary of useful programming constructs. To allow a better choice of programming language. To make it easier to learn a new language. To make it easier to design a new language.
