- #1
HasuChObe
- 31
- 0
[tex]f: ℝ^n→ℝ\qquad g: ℝ^n→ℝ^m[/tex]
Akshay_Anti said:if R is raised to power 2, it means R X R and the cartesian product. what about R power n? Plz explain...
The notation "f(x)" represents a function, where "f" is the name of the function and "x" is the input or independent variable. This notation is commonly used in mathematics and represents the relationship between the input and output of a function.
The notation "g(x,y)" represents a multivariate function, where "x" and "y" are both independent variables. This means that the output of the function is dependent on two or more variables. On the other hand, "f(x)" represents a univariate function, where there is only one independent variable.
The "!" symbol, also known as the factorial symbol, is used in mathematics to indicate the product of all positive integers less than or equal to the number. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
The notation "n choose k" represents the number of ways to choose k objects from a set of n objects without considering the order. This is equivalent to calculating the number of combinations, which is often denoted as "nCk" or "C(n,k)".
No, both "Σ" and "∑" represent the summation symbol in mathematics. It is used to represent the sum of a series of numbers or expressions. The use of one symbol over the other is a matter of personal preference or convention in different fields of mathematics.