And the first one is the unit step function.

We have this unit step function sitting right here.

We have the unit step function sitting right there.

So how could I construct this function right here using my unit step function?

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

I started this video talking about the unit step function.

Once you hit c, the unit step function becomes 1.

Step 3 How to connect the Phi function to modular exponentiation?

So what if I multiply the unit step function times this thing?

That's our unit step function, and we want it to jump to 2.

In fact, at this point, this unit step function, it has no use anymore.

Step A. Step B. Step C. Mostly.

So our function in this case is the unit step function, u sub c of t times f of t minus c dt.

Step up! Step up!

Step up! Step up!

It consumes itself step after step after step.

Until we get to c, the unit step function is zero when it's less than c.

Let's take a the Laplace transform of this, of the unit step function up to c.

This whole thing, by definition, this unit step function is zero until we get to c.

And so the answer to my problem is going to be the unit step function I just throw the 2 out there the 2 times the unit step function times my f of t shifted by c.

So what if I my new function, I call it the unit step function up until c of t times f of t minus c?

And it doesn't happen exactly like this, but it can be approximated by the unit step function.

Step

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step

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You must learn step by step.

We went up step by step.

Really, I go step by step.

Step by step, it does narrow.

As an engineer you have step one, step two, step three.

Remember, this definite integral is really just the area under this curve of this whole function, of the unit step function times all of this stuff.

I want to use the cost function of 1, so each step costs you exactly 1 for now.

There's step by step instructions on this.

The second step follows the first step.

Step on it! Step on it! C'mon!

You sit in front of your screen. You dig through the code step by step by step by step.

Tdd is gonna be step definitions and actually write unit tests and function tests, before you write the code.

Step 3

Step aside.

Step back.