Conjugate

Conjugate

Conjugate Gradients

That's the conjugate, right?

And that's the complex conjugate.

Sidney. Conjugate me a verb.

With hydrogen and its conjugate base.

Or when you take the conjugate.

Let's multiply by the conjugate of this thing.

And I want to emphasize, this right here is the conjugate seven plus five, is the conjugate of seven minus five i.

Doinel, you'll conjugate for tomorrow go to your seat

T times the conjugate of Z2 Z1 this down here is Z2 Z1 and then this over here is the conjugate of Z2 Z1.

So the conjugate of ztwo is c minus d i.

That could be the conjugate base of the weak acid.

Between this proton jumping off of this and its conjugate base.

And the sign for conjugate is that line over the top.

The conjugate of the complex number formula_1 formula_2,where formula_3 and formula_4 are real numbers, is formula_5For example, formula_6 formula_7 formula_8An alternative notation for the complex conjugate is formula_9.

The reason why that's interesting is I have z two minus z one here, so I'm starting to have similar things and then this thing over here... so if I take the conjugate of each of these... if I take the conjugate of each of these... if I take the conjugate of z minus the conjugate of z one, this is going to be equal to T times the conjugate of Z2 minus the conjugate of Z1, and i know that because when i do this, I'm swapping all the signs on the imaginary parts of the complex numbers.

This one that has this weak base and its conjugate weak acid?

So we immediately know the equilibrium constant for the conjugate base reaction.

Let's multiply the numerator and the denominator by the conjugate of this.

So this was c plud d i, so this is its conjugate.

So if I just wrote this as, A minus so I just wrote its conjugate base is in equilibrium with the conjugate base grabbing some water from the surrounding aqueous solution.

So that right there is the complex conjugate of seven minus five i.

Plus the log of the ratios between the acid and the conjugate base.

Because the conjugate is the tool we're going to use to divide this.

So what is this determinate, It's going to be this times this, so it's T times Z2 minus Z1 times z2 minus z1, times the conjugate of those, so it s that times that minus this times this, so minus t Z2 Z1 times the conjugate of Z2 minus the conjugate of Z1.

We're asked to find the conjugate of the complex number seven minus five i.

The conjugate of c plus d i is equal to c minus d i.

So the conjugate of the denominator is going to be c minus d i.

But if you do it here if you apply the sodium hydroxide to this solution, the solution that contains a weak acid and it's conjugate base, the weak acid and its conjugate base, what happens?

Or if we have something like a minus b, the conjugate is a plus b.

And if I had the reverse reaction, the conjugate base reaction, so ammonia converts to ammonium.

But if we have something like a plus b, the conjugate is a minus b, right?

So let's multiply it by the conjugate x squared plus 4x plus 1 plus x, right?

So let's multiply the numerator and denominator of this expression by the conjugate of the denominator.

We multiply it times the conjugate of the denominator. two minus threei over over itself, right?

But seven minus five i is also the conjugate of seven plus five i, for obvious reasons.

So we know when we multiply an imaginary number times its conjugate, we get a real number.

So we learned a last video that if this is the acid, then this is the conjugate base.

Plus the negative log of the equilibrium basic reaction, where this is the conjugate base of this acid.

Or you could say, the conjugate of c minus d i is equal to c plus d i.

The related conjugate base is well known in the form of several salts such as potassium acid tellurite, KHTeO3.

So our general solution will be y is equal to e to the real part of our complex conjugate.

And what you're going to find in this video is finding the conjugate of a complex number is shockingly easy.