“Real” mathematics (or just mathematics) is the art of creating, understanding, and exploring the relationships between various mathematical* structures. Mathematics is the art ofmakingmathematics, by exploring and understanding mathematical structures. (Numbers are one such structure, but there are in...
What are some examples of applied mathematics? How do you write the word phrase for the algebraic expression 16g + 12? What is a relation in general mathematics? What is an axiom in mathematics? What does the symbol ^ mean in mathematical expressions and functions?
The basic idea is that mathematical entities exist outside space and time, outside thought and matter, in an abstract realm. In the more eloquent words of Edward Everett, a distinguished nineteenth-century American scholar, "in pure mathematics we contemplate absolute truths which existed in the ...
Suppose that you are given a problem to solve, I don't care what kind of a problem—a machine to design, or a physical theory to develop, or a mathematical theorem to prove, or something of that kind – probably a very powerful approach to this is toattempt to eliminate everything fro...
We give up mathematical "thing in itself" as physics gave up the unobservable ether. (查看原文) 9zer 2013-04-14 23:11:40 —— 引自第69页 In French the words "vingt" and "quatre-vingt" for 20 and 80 suggest that for some purposes a system with base 20 might have been used. (...
children learn that there are many different ways to solve a problem and that more than one answer is possible. It involves the ability to explore, think through an issue, and reason logically to solve routine as well as nonroutine problems. In addition to helping with mathematical thinking, ...
Playing around with Ronen Eldan, a mathematician at Microsoft Research, Bubeck asked GPT-4 to give, in verse, a mathematical proof that there are an infinite number of primes. Here’s a snippet of GPT-4’s response: “If we take the smallest number in S that is not in P / And call...
Are there other ways to represent parenthesis other than symbols? Yes! In writing you can use words like “parens” and “bracketed” instead of using curved symbol – additionally when programming some languages allow users alternate ways to represent parenthetical grouping e.g., Python allows us...
children learn that there are many different ways to solve a problem and that more than one answer is possible. It involves the ability to explore, think through an issue, and reason logically to solve routine as well as nonroutine problems. In addition to helping with mathematical thinking, ...
What are the types of AI? The 7 main types of artificial intelligence are: Weak AI or narrow AI Strong AI, general AI or artificial general intelligence (AGI) Super AI or artificial superintelligence (ASI) Reactive machine AI Limited memory AI ...