-1
It means that the function value doesn't make sudden jumps. For example, a function that rounds a number down to the closest integer is discontinuous for all integer values; for instance, when x changes from 0.99 to 1, or from 0.999999 to 1, or for any number arbitrarily close to 1 (but less than one) to one, the function value suddenly changes from 0 to 1. At other points, the function is continuous.
The absolute value of a function changes the original function by ensuring that any negative y values will in essence be positive. For instance, the function y = absolute value (x) will yield the value +1 when x equals -1. Graphically, this function will look like a "V".
A recursive function is one in which the value of a function at each point depends on its value at one or more previous points. A rercursive function requires the first few values to be defined normally - these are called bases. Perhaps one of the most famous recursive function is the Fibonacci series, which has f(1) = 1 f(2) = 1 f(n) = f(n-1) + f(n-2) for n = 3, 4, 5, ... There are two bases and each subsequent value is defined in terms of the preceding two.
The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.
-1
It means that the function value doesn't make sudden jumps. For example, a function that rounds a number down to the closest integer is discontinuous for all integer values; for instance, when x changes from 0.99 to 1, or from 0.999999 to 1, or for any number arbitrarily close to 1 (but less than one) to one, the function value suddenly changes from 0 to 1. At other points, the function is continuous.
The absolute value of a function changes the original function by ensuring that any negative y values will in essence be positive. For instance, the function y = absolute value (x) will yield the value +1 when x equals -1. Graphically, this function will look like a "V".
Both the function "cos x" and the function "sin x" have a maximum value of 1, and a minimum value of -1.
If you look at the definition of the sine function in a triangle, you'll discover that the maximum possible value of the sine function is ' 1 ' and the minimum possible value is ' -1 '. There's no angle that can have a sine greater than ' 1 ' or less than ' -1 '. So the absolute value of the sine of anything is always ' 1 ' or less.
A recursive function is one in which the value of a function at each point depends on its value at one or more previous points. A rercursive function requires the first few values to be defined normally - these are called bases. Perhaps one of the most famous recursive function is the Fibonacci series, which has f(1) = 1 f(2) = 1 f(n) = f(n-1) + f(n-2) for n = 3, 4, 5, ... There are two bases and each subsequent value is defined in terms of the preceding two.
To normalize a function, the value of a must be such that the integral of the function squared over its domain is equal to 1.
The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.
Yes, there is only one y value for each x value.
The unit step function at t=0 is defined to have a value of 1.
A function is a mapping from one set to another. It may be many-to-one or one-to-one. The first of these sets is the domain and the second set is the range. Thus, for each value x in the domain, the function allocates the value f(x) which is a value in the range. For example, if the function is f(x) = x^2 and the domain is the integers in the interval [-2, 2], then the range is the set [0, 1, 4].
It is: 1-5/11 = 6/11