Recent content by meltchocolate

Thank you for the detailed explanation. I just wanted to know the above integral and asked a question. Some say it becomes 1/2 and others say it is 1. Actually, I'm not a mathematician and found this in a book of stochastic process.

Is this definition of delta function? Sometimes people say that the delta function is an even function and its integral from -∞ to ∞ is 1, therefore it is 1/2 if it is integrated from -∞ to 0 or 0 to ∞. Is this logic completely and mathematically right?