Geometry, basic math, concise intro in english See solutions, See solutions, See solutions
Channel: See Sabitri TikTok
Date: 12/03/2021

See solutions, See solutions, We are now ready to prove our first proposition. Some new notation is required and we must intro- duce an important piece of mathematical culture. If we say “A if and only if B” then we mean that either A and B are both true or they are both false in any given circumstance. For example: “an integer x is even if and only if it is a multiple of 2”. The phrase “if and only if” is used to establish logical equiva- lence. Mathematically, “A if and only if B” is a way of stating that A and B are simply different ways of saying the same thing. The phrase “if and only if” is abbreviated iff and is represented symbolically as the double arrow ⇔. Proving an iff statement is done by independently demonstrating that each may be deduced from the other.We are now ready to prove our first proposition. Some new notation is required and we must intro- duce an important piece of mathematical culture. If we say “A if and only if B” then we mean that either A and B are both true or they are both false in any given circumstance. For example: “an integer x is even if and only if it is a multiple of 2”. The phrase “if and only if” is used to establish logical equiva- lence. Mathematically, “A if and only if B” is a way of stating that A and B are simply different ways of saying the same thing. The phrase “if and only if” is abbreviated iff and is represented symbolically as the double arrow ⇔. Proving an iff statement is done by independently demonstrating that each may be deduced from the other.We are now ready to prove our first proposition. Some new notation is required and we must intro- duce an important piece of mathematical culture. If we say “A if and only if B” then we mean that either A and B are both true or they are both false in any given circumstance. For example: “an integer x is even if and only if it is a multiple of 2”. The phrase “if and only if” is used to establish logical equiva- lence. Mathematically, “A if and only if B” is a way of stating that A and B are simply different ways of saying the same thing. The phrase “if and only if” is abbreviated iff and is represented symbolically as the double arrow ⇔. Proving an iff statement is done by independently demonstrating that each may be deduced from the other.We are now ready to prove our first proposition. Some new notation is required and we must intro- duce an important piece of mathematical culture. If we say “A if and only if B” then we mean that either A and B are both true or they are both false in any given circumstance. For example: “an integer x is even if and only if it is a multiple of 2”. The phrase “if and only if” is used to establish logical equiva- lence. Mathematically, “A if and only if B” is a way of stating that A and B are simply different ways of saying the same thing. The phrase “if and only if” is abbreviated iff and is represented symbolically as the double arrow ⇔. Proving an iff statement is done by independently demonstrating that each may be deduced from the other.