Mathematical Thinking Stanford, W7

number theory Number theory | Definition, Topics, & History | Britannica 0 is not a natural number? it depends on the mathematical community, if they design the norm(standard) that 0 i a natural number, then it is. but in a default condition, we normally set 0 is not natural number. b|a Vertical bar sign in Discrete mathematics, means b divides a, b is a factor of a. division theory ? Euclidean division - Wikipedia ...

2023-9-1 · 2 min · Atom.X

Mathematical Thinking Stanford, W8 Assignment 10

cognitive conception completeness property 完整属性 upper and lower bound 上界、下界 least upper bound 最小上界 LUB Set theory subset relations Natural numbers, Integers, Rational numbers, Real numbers N ⊂ Z ⊂ Q ⊂ R Elements of Set Theory(SUPPLEMENT, KEITH DEVLIN: Introduction to Mathematical Thinking) empty set ∅ different from Φ(phi) the 21st letter of the Greek alphabet eg. Set A If $A(x)$ is some property, the set of all those x which satisfy $A(x)$ is denoted by {$x | A(x)$} ...

2023-9-1 · 4 min · Atom.X

Mathematical Thinking Stanford, W8 Quiz

least upper bound A set A of reals can have at most one least upper bound. if a is LUB, then a≤b if b is LUB, then b≤a if a, b are both two LUBs, then b=a, such as {42} has the only element 42 as both an upper bound and a lower bound. lower bound if a set A of reals has a lower bound, it has infinitely many lower bounds. ...

2023-9-1 · 6 min · Atom.X

C programming practice resources

C programming manual 中文:C 语言教程 gnu c library C programming open-source projects suitable for beginners: GeeksforGeeks: This site offers a variety of C projects with source code, categorized by skill level. Some beginner-friendly projects include Rock Paper Scissors, Hangman Game, and Simple Calculator. GitHub Topics: C Projects: Explore various C projects on GitHub. You can find repositories specifically tagged for beginners. Skyfi Labs: This site lists 20 C programming projects for beginners, with source code available on platforms like GitHub. Code with C: A collection of over 50 C/C++ projects with source code, including mini-projects, games, and applications. Practice platform Programiz ...

2023-8-23 · 1 min · Atom.X

How can we get free courses

There are many free open courses online, you have to pay for some of them, but there are financial aid options. Take coursera.org as example. Why Financial aid In the past few years, due to the Corona virus, I fleet away from home country, and created agriculture business in Ukraine, then had to leave for Europe, now I am an asylum seeker, studying and looking for a new survival opportunities. In the past many years, I only focused on my work and was not interested in politics and wars, until the corona virus, my basic survival was threatened, as a common people, there are too much things that I don’t know. ...

2023-8-23 · 2 min · Atom.X