
1.1
... Rational numbers can be expressed as a quotient (or ratio) of two integers, where the denominator is not zero. The decimal form of a rational number either terminates or repeats. Irrational numbers, such as 2 and , cannot be expressed as a quotient of two integers, and their decimal forms do not ...
... Rational numbers can be expressed as a quotient (or ratio) of two integers, where the denominator is not zero. The decimal form of a rational number either terminates or repeats. Irrational numbers, such as 2 and , cannot be expressed as a quotient of two integers, and their decimal forms do not ...
An introduction to this course and to the real numbers
... dot representing 32 is halfway between the dot representing 1 and the dot representing 2, and so on. At this stage a lot of dots have been marked - every stretch of the line, no matter how short, contains an infinite number of marked dots. However, many points on the line remain unmarked. For example ...
... dot representing 32 is halfway between the dot representing 1 and the dot representing 2, and so on. At this stage a lot of dots have been marked - every stretch of the line, no matter how short, contains an infinite number of marked dots. However, many points on the line remain unmarked. For example ...
ch1_Logic_and_proofs
... A definition is a proposition constructed from undefined terms and previously accepted concepts in order to create a new concept. ...
... A definition is a proposition constructed from undefined terms and previously accepted concepts in order to create a new concept. ...
Lecture Notes in Computer Science
... proof-theoretic background, have much in common. One common thread is a new emphasis on hypothetical reasoning, which is typically inspired by Gentzen-style sequent or natural deduction systems. This is not only of theoretical significance, but also bears upon computational issues. It was one purpos ...
... proof-theoretic background, have much in common. One common thread is a new emphasis on hypothetical reasoning, which is typically inspired by Gentzen-style sequent or natural deduction systems. This is not only of theoretical significance, but also bears upon computational issues. It was one purpos ...
Papick.pdf
... the unique answer to the question: “What is the fourth term in the sequence 3, 5, 7, …?”, it is in fact an ill-posed question that does not have a unique answer. For example, one student might say the answer is 11, since they thought the list was of all odd prime numbers, whereas another student mig ...
... the unique answer to the question: “What is the fourth term in the sequence 3, 5, 7, …?”, it is in fact an ill-posed question that does not have a unique answer. For example, one student might say the answer is 11, since they thought the list was of all odd prime numbers, whereas another student mig ...
Chapter 3 - brassmath
... form of a/b where a and b are integers, and b ≠ 0. In other words, the set of rational numbers includes all integers, fractions and terminating or repeating decimals. Rational Numbers ...
... form of a/b where a and b are integers, and b ≠ 0. In other words, the set of rational numbers includes all integers, fractions and terminating or repeating decimals. Rational Numbers ...