The contrapostive
The statement "if not p, then not q" always has the same truth value as the conditional "if p, then q." They are logically equivalent.
"Think" is used to express opinions or ideas that one holds based on reason or knowledge. "Believe" is used to express acceptance of something as true, often based on faith or trust rather than proof. Essentially, thinking tends to involve more logical reasoning, while belief involves more emotional conviction.
Logical malleability refers to the ability to modify or change the structure of logical statements or arguments without changing their underlying meaning or truth value. This concept is important in fields such as philosophy and computer science where precise and valid reasoning is necessary.
Extrinsic value is the portion of an option's price that is not due to its intrinsic value (the actual value of the underlying asset at that point in time). It is influenced by factors such as time until expiration, volatility of the underlying asset, and interest rates. High extrinsic value is typical of options with longer expiration dates or higher levels of implied volatility.
Present value analysis is a financial technique used to evaluate the value of future cash flows by discounting them back to their current value. It takes into account the time value of money, allowing for better decision-making by comparing the present value of costs and benefits. The goal is to determine whether an investment or project is worth pursuing based on its potential return.
When you multiply any number by 1, you get the same number as the result. This is because multiplying by 1 does not change the value of the original number.
by switching the truth values of the hypothesis and conclusion, it is called the contrapositive of the original statement. The contrapositive of a true conditional statement will also be true, while the contrapositive of a false conditional statement will also be false.
true
conditional and contrapositive + converse and inverse
conditional and contrapositive + converse and inverse
conditional and contrapositive + converse and inverse
Truth value
negation
yes, it is called the truth value
conditional and contrapositive + converse and inverse
The negation of a statement
A statement has a truth value
No. An if statement does not require an elseclause and the expression(s) do not return anything to the caller, whereas the conditional operator always executes one of two expressions and always returns the value of the executed expression back to the caller. The executed expression may be yet another conditional operator, thus allowing simulation of nested ifs and if...else if... else statements.Consider the following example:int x = rand();if( x > 100 ) x = 100;We can achieve the same result with a conditional operator:int y = rand();y = y>100 ? 100 : y;However, if we were to expand this statement to an if statement we would not get the original if statement shown above:int z = rand();if( z > 100 ) z = 100;else z = z;The else clause is clearly unnecessary in this case, so the original if statement would be the statement of choice here.As a general rule, if you can make use of the return value in a conditional operator, and must return one of at least two values, then use the conditional operator. Otherwise use an if statement.