Because at zero, the function is always defined to be zero, no matter what the key.

So here in the top cloud, we're choosing a truly random function. In the bottom cloud, we're just choosing a random key for a pseudo random function.

Function

Function

function

Function

So there should be an algorithm to evaluate the function E. But more importantly, once we fix the key K, it's important that this function E be one to one.

Percent Function

Exponential function

Perform function

This function R is gonna be called a round function.

Show function names

I'm a function.

Form and function.

Form follows function?

Form is function.

Then we take this message m1, we apply the next round function to it using a different key, using the key k2. Then we get the next round message out.

There is the cosine function, and there is the tangent function.

And then the first thing that happens is we apply the first round function using the key K1 to the message.

So this function h is, as I say, it's an invertable function.

Iterated function system Images

So let me draw a function here actually, let me define a function here.

SETimes How does it function?

The color of function buttons.

This function, we just say

I, I'm just a function.

And that's the eval() function.

So let's graph this function.

And they're focusing on function.

Data base and search function.

So let's graph this function.

So I'm going to define a function, I'm going to call it the factorial function.

And so we'll implement this Path Cost function, in terms of a Step Cost function.

It tells us, Given the allowed inputs into our function, what would the function output?

And all it is, is basically a function that takes a key and an input as inputs and outputs some element in the output space.