# Mathematical Symbols (Part 4)

 Symbol Name Explanation implies THE: Sao Paulo is the capital of a Brazilian stateB: Sao Paulo is a Brazilian cityTHE BEx: if the statement before it is true, then the statement on your right will also be true. For example, "Sao Paulo is the capital of a Brazilian state"Implies that"Sao Paulo is a Brazilian city. | such that Ex: R + = {x R | x ³ 0} means that R + is the set of real numbers such that these numbers are greater than or equal to zero. or (of course) Ex:Q: Jose likes to play soccerQ: Jose likes to play tennis P whatJose likes to play soccer or tennis. it is logical) Ex:Q: Claudia has a dogQ: Claudia has a catP whatClaudia has a dog and a cat. ~ negation (logic) Ex:Q: Students will take a walk~ p: Students will not walk. n! n factorial The definition of n factorial is as follows:n! = n. (n-1). (n-2)… 3.2.1Ex: For n = 6, we would have:n! = 6 * 5 * 4 * 3 * 2 * 1 pi number The number It is defined as the ratio between the circumference of a circle and its diameter. But this number has other personalities. It is also an irrational number and a transcendent number. = 3,141592653… infinite The "eight lying down" represents infinity. This symbol was created by the English mathematician John Wallis (1616-1703) to represent "Arithmetic Infinitorum". summation The kth partial sum of the series it's Sk = a1 + a2 +… + Ak. Ex: Theno =  integral There are several integration rules. Example of one of the rules:The sine integral is "minus" the cosine "plus" the constant lim limit Ex: Indicates that 3 is the limit of function 2x + 1 when x tends to 1. log logarithm Ex: log28 = 3The logarithm of 8 in base 2 is 3, because by raising 2 to exponent 3 we get 8.Never forget, if you have no logarithm base, we define it as base 10. ln neperian logarithm natural logarithmlogandn = yNeperian logarithm is the logarithm whose base is the number "e".e = 2.718281828…Ex: log and 8 = 2,079441542…because is 2,079441542 = 8 conclusion (therefore) Pronounces soon…, therefore… or in conclusion…The symbol consists of three points forming a triangle. It is written before a logical conclusion, being widely used in mathematics and also as an abbreviation.Example:All cats are beautiful.Djalma is a cat. Djalma is beautiful.