We figure it is.

And if we assume that the derivative is continuous, which

If we say x is positive, then definitely.

If we assume from the get go, as Eduardo did, if we assume that both A and B are greater than 90 degrees, what's A plus

Because we just assumed that the opposite is 5.

So if I say that 3X 2 is less than or equal to 1

We assumed that s is greater than 0 this example.

Assuming it was roughly the size of my wife's hand,

If we assume that then it is going to be true for sum of k 1.

Assuming the women they asked told the truth.

So it's just going to be a negative number, if we assume that this is constant.

We thought our family would already be there.

They just said that if we assume that this is true.

So we're assuming that fibonacci of 5 is called.

If we assume that we're dealing with the unit vector definition for the line.

If we assume that x does not ever equal 2 because x equaling 2 would make this an undefined statement because you can't divide by zero, but if we make that assumption, we can cancel those out.

Now, let's say I go out there (because I feel good about my 10), and let's say I go and spend 30.

Had you answered roast, would you prefer it rare or welldone?

And if you make the assumption that this is defined for real numbers so that the domain over here this would has to be under these radicals has to be positive actually everyone of these cases and if there need to be positive not gonna be dealing with imaginary numbers all of these need to be positive, their domains are x has to be greater than or equal to 0 then you could assume that the absolute value of x is the same as x.

later showed that it actually occurred was even more incredible than we assumed all.

So if we say that y is equal to a function of x, all that means is, you give me an x.

And it also works if we assume that it works for everything up to k.

So if you assume it worked for 1 then it can work for 2.

Because if we assumed it, then AB could not be greater than BC.

Assuming you haven't been fully soaked yet and you aren't jumping into puddles, the answer is simple.

And the interesting thing here is, if we assume we're only dealing with real numbers, the domain... of X, right over here, the X's that will make this expression define in the real numbers... then, X has to be, greater than or equal to 0.

Or perhaps, the evolution of an intelligence capable of creating sophisticated technology is far rarer than we've assumed.

So if we say that x is equal to 2, then we get this term would be 0, because that's 0.

So if we assume that this is our x axis, and that is our f(x) axis and I'm just assuming it's a function,

So if we assume the mapping, that if you give this function a negative 8, it's going to map to 4, then we can plot it here.

Here, if we say this is Celsius, this looks pretty close to 32 on this one.

Then in our induction step, we are going to prove that if you assume that this thing is true, for sum of k.

And then if you assume constant pressure, this is the change in enthalpy of the system.

So if we say change in y for a given change in x is equal to let's see.

But if we assume that this is another ab here, which I'll assume for this purpose of this video.

Assuming that conceptual issues are solved, there remains the major issue of data availability.

So if we assume that x is greater than minus 4 then x plus 4 is going to be greater than 0.

So if we assume that x plus 4 is greater than 0, we just end up with a nonsensical solution.

If we assume this is negative, we get x has to be less than minus 4.

Let's say I had 10 moles of oxygen and 2 moles of ammonia.

But if we assume it's a neutral atom, we can say that this is also the number of electrons.

Or if we assume it works for integer k it also works for the integer k plus 1.

Well, if I say x is minus 5, then this becomes 0, and then the b disappears.

If we assume that measure of angle A is equal to measure of angle C, it follows that AB is equal to BC.

Suppose you are concerned about children in Africa dying from preventable diseases.