Got her before there was any decomposition.

So it's, it's really a decomposition of factoring problem.

It's two weeks. Judging from the rate of decomposition.

Mathematically, this is, again, equivalent to Fourier decomposition, but on a sphere.

Let's see if we can tackle a more complicated partial fraction decomposition problem.

If we apply eigenvalue decomposition to this matrix over here, we get 2 eigenvalues.

The trick that's being applied is to de rotate this image over here using eigenvalue decomposition.

So what kind of decomposition on numbers could be used to enable this kind of recursive approach.

So the partial fraction decomposition of this right here is A, which we've solved for, which is 2.

like for example the SVD function that stands for singular value decomposition but that turns out to be a

So perhaps this decomposition will have some use in enabling a recursive attack on how to multiply two integers.

It's then pumped with toxic formaldehyde to slow decomposition a practice which causes respiratory problems and cancer in funeral personnel.

And when the coupling time comes the pattern is frozen. If you now remember Fourier decomposition and in density field.

Let's see if we can learn a thing or two about partial fraction expansion, or sometimes it's called partial fraction decomposition.

The highest degree here is 1, the highest degree here is 2, so we're ready to commence our partial fraction decomposition.

There's one more case of partial fraction expansion or decomposition problems that you might see, so I thought I would cover it.

Their excrement is absolutely teeming with microbes, which continue the decomposition process, making all those once wasted nutrients available again as fertilizer.

I'm also making a decompiculture kit, a cocktail of capsules that contain Infinity Mushroom spores and other elements that speed decomposition and toxin remediation.

In our own reserch, we also have applied eigenvector decomposition to relatively challenging problems that don't look like a linear problem at the surface.

So the decomposition here is going to be A over x minus 1 plus B over x minus 2 plus C over x minus 2 squared.

The way we quantify this is through spherical harmonics, which is essentially in equivalent of Fourier decomposition on a sphere, schematically this is how it works.

So the partial fraction decomposition of this, we're now done, is 7 over x minus 2 plus 3x plus 4, over x squared plus 2x plus 4.

The Decompiculture Society shares a vision of a cultural shift, from our current culture of death denial and body preservation to one of decompiculture, a radical acceptance of death and decomposition.

We applied eigenvector decomposition of the type I've just shown you to understand whether there is a latent low dimensional space that is sufficient to represent the different physiques that people have,

So all the work we did so far is just to factor out that x to the third minus 8, but now we can actually do some partial fraction expansion, or partial fraction decomposition.

Well, that was a pretty tiring problem, and you can see, the partial fraction decomposition becomes a lot more complicated when you have a higher degree denominators, but hopefully you found that a little bit useful.

It turns out if you apply eigenvector decomposition to the space of all the formations of your body, you can find relatively low dimensional linear spaces, in which you can express different physiques and different body postures.

This is the Forensic Anthropology Research Facility, and on a six acre plot there are approximately 75 cadavers at any given time that are being studied by forensic anthropologists and researchers who are interested in monitoring a rate of corpse decomposition.

So anyway, hopefully I've given you another tool kit in your or another tool in your tool kit, and I'll probably do a couple more videos because we haven't exhausted all of the examples that we could we could show for partial fraction decomposition.

So, applying this eigenvalue decomposition to every positive pixel in the original image and then taking the local maxima of that result where both eigenvalues are large gives us exactly the Harris corner detector in a very robust way to find corners in an image.

And similarly for C and D in a decomposition of Y. So now in just purely mechanical way, we can expand the product of X times Y in terms of misrepresentation in terms of these smaller numbers A, B, C and D. So X times Y, by representation, is just the same thing as (10 (N 2) times A B) times quantity (ten to the (N 2) C D).