Symmetrically continuous function
Okay, kiddo, let's talk about symmetrically continuous functions. A function is like a machine that takes in some numbers and gives you back some other numbers. Now, imagine a function that has a special property called symmetry. That means that if you change the input number to be the negative of what it was before, then you'll get the opposite number as the output.
For example, let's say our function takes in the number 2 and gives us back the number 4. If our function is symmetric, then we know that if we put in the number -2, we should get back -4 as the output. That's because -2 is the opposite of 2 and -4 is the opposite of 4.
Now, a symmetrically continuous function is a function that keeps this symmetry property when you make small changes to the input number. That means that if you give the function a number that's very close to another number, then the output of the function should only change a little bit. This is kind of like when you draw a line in the sand and then move it just a tiny bit - the line doesn't change much, it just moves a little bit.
So, in summary, a symmetrically continuous function is a type of function that has a special symmetry property and behaves in a predictable way when you make small changes to the input number.
For example, let's say our function takes in the number 2 and gives us back the number 4. If our function is symmetric, then we know that if we put in the number -2, we should get back -4 as the output. That's because -2 is the opposite of 2 and -4 is the opposite of 4.
Now, a symmetrically continuous function is a function that keeps this symmetry property when you make small changes to the input number. That means that if you give the function a number that's very close to another number, then the output of the function should only change a little bit. This is kind of like when you draw a line in the sand and then move it just a tiny bit - the line doesn't change much, it just moves a little bit.
So, in summary, a symmetrically continuous function is a type of function that has a special symmetry property and behaves in a predictable way when you make small changes to the input number.