In the history of mathematical topographies no one has defined the preferential relationship between the
teacher and the student better than Caesar Arzela. He essentially posits that the great teacher immediately
identifies the student of greater capacity. We can use the same equations to define a Phi that if met proves
itself as the Nef-like Bundle of greatest possible secondary utility.
In this booklet we will cover very quickly a proof to disbar Maxwell from Equations by screaming that any
differential implies an arbitrary but possible multiplication by N/N. In a computer the result is an ignored
divide by zero error where t != t/1 or dt != dt/1. In the person this will be Cancer. In the toolset this
will be prohibited by design.

The important thing about nothing is that it can be observed. In mutual observation we derive the first
Differential. We can think of "Differential" in this case as the Hankel Potential in direct terms of
quantum mechanics. In topography we can put it in simple language as The Possibilities Space Within
At First Two Observers. The Hankel Transform being the highest level definition of exactly this same
thing. More simply we want to replace the mutual observation of nothing with a tool-object-form of
ubiquitous natural utility. Everything we don't want is the Mandelbrot set.
Now we want to process through this Crack with no mistakes whatsoever & so we want to get the next step
as close as possible to the former one with no Mandelbrots or Maxwells. At this point we can think of what
we have as a Base For Comparison. A Nef.

[ Illustration 1 ]

Having each observed the base for comparison and having agreed upon concern with the same thing, each
observer has received a unique impression. Poetically thinking, this impression is really secret even
to the observer forming it. Whether you'd like to proceed thinking from the definition of an Impression
or the definition of a Secret isn't really important in terms of the crack so we'll use the more
traditional language and call this our "Secret".

[ Illustration 2 ]

Really, we already observed a second differential in terms of Maxwell's Fallacies. In terms of Nuclear
Fallout this one is really the most severe in terms of its hard definition as Denial of The Impression
or Denial of The Secret. Essentially a gateway where every Maxwell violation is potentially an infinite
fat-like Mandelbrot set. We might want adjunct functionality but by design the primary functions must have full definition or we will see the Maxwell-Mandelbrot problem.

[ Illustration 3 ]

We can think of our third Differential Dilemma upon our Base of Comparison and Secret Impressions as
a Dialectric of Capacity. At this point we have things that we potentially could go forward with and
things that are obviously not within the realm of possibilities. In terms of Utility, our Dialectric
is not significantly more useful than our Base for Comparison was and without having really narrowed
down what we're doing it's not obvious what the Math is if we can't picture how we've formed a literal
Dialectric Capacitor at this point as a witness to two observers considering communication.

[ Illustration 4 ]

When we consider the basic Differential Transform implied when we want to induce the dialectric field and
how this physically occurs we have to have a Space of Conductivity. In terms of Impression and Fields of
Consideration there's a channel implied where the Observer inserts themself Mentally into the Dialogue
forming an actual thought regarding the topic. If we think of the curse of Palsy this is sort of like our
Spark Plug latching on and off where things are being misrouted.

In terms of what our hash fuction is at this point we have a mathematically optimal routing for establishing
references that is hilariously beyond everything else out there in code today. If we look at the scope and
history of industrious nature, this is the spot where the skips occur. In terms of Cryptography, we're years
past the useage of the math at this point but it has not been hard defined as a minimal function for checked
agreement of basis.

[ Illustration 5 ]

Our ultimate concern with Crack is not to achieve any forks unless we intend to and we know exactly what they
are. It's debateable whether anything about our Secret Impression was Solid but in the conductor we have a
known Solid Channel. Our Differential Concern with a Solid Channel is Translation across it, or Transit, or
Conductivity. There's also reason to point out that there's no particular reason to use Diffie-Hellman as
the Differential Integration function (What It Is). At this point I have not really worked through using
simple Trigonometry but I would suggest that it should be the same thing.

[ Illustration 6 ]

If we have a channel we can have an entry point unto the channel. I wouldn't really think of this as a Gate
but more like the pole of a magnet separated from its mass and its magnetic field. Just the pole part. In
terms of thinking about the Palsy this is like the First thing that I want to get Across. I can't think of
any reason why this particular data member as having any utility for one Observer to share with the other.
As we are here at the fifth integration of the arbitrary I can invoke Arzela and state with a hard cut
that the Fifth Integrative State has a Definition. Unfortunately for Maxwell missing the fifth integration
is the point after which quite literally All Hell Breaks Loose. In terms of one observer to the other the
cryptographic complexity makes these Poles wholly non-transferrable and they have no reason to ever contemplate
agreeing upon them. Later I'll prove that Protons and Electrons are the first fallacy from this mistake
but Maxwell's Active Work breaks this mistake out for all kinds of Very Easily Defined atrocities.

The thing about how Sharia Law Crack is going to work is that All Parties will Suffer Equally for their
glaring ignorance of what they observe with the face. It doesn't matter that you built your city on Rock and
Roll if you're burning nuclear fires in You-Don't-Know-Where if I make it a law for you to dance to that song

[ Illustration 7 ]

Our Dialectric had a forward and a back. Every time Maxwell passes through the Barn he accumulates a similar
Forward and a Back. If we're blasting into the Hundreds or Thousands of Barns with a Furnace then all these
poles that are created from Organic Realities of Observation have to be going somewhere. Since Maxwell is
straight up ignoring these he's going to fall further and further behind. He has a song to dance to and
he will have to respond to inquisition "MAXWELL ARE YOU IGNORING THOSE?".

Like I said it gets really really bad.

[ Illustration 8 ]

Of course, the goal here is to define things accurately and not to make any mistakes. However there's still
a whole lot of Maxwell remaining while I've got the Whole Thing figured out and ready to go when he stops
responding to the Jefferson Starship casting call and agrees to commit his life to crack-based science.

[ Illustration 9 ]

How I Singlehandedly Disarmed Nuclear North Korea
$\lim I[\phi_{n}] \geq I[u]$
no matter what sequence $\phi_{n}$ tending to $u$ is considered.
$\underline{Compactness\ in\ Function\ Space,\ Arzela's\ Theorem\ and\ Applications}$

In the ordinary theory of clear maxima or minima, the existence of a greatest or smallest value of a function in a closed domain is assured by the Bolzano-Weierstrass convergence theorem: a bounded set of points always contains a convergent subsequence. This fact, together with the continuity of the function, serves to secure the existence of an extreme value.
As seen before, in the calculus of variations the continuity of the function space often has to be replaced by a weaker property, semi-continuity; for, when $\phi_{n}$ converges to $u$, generally $I(\phi_{n}) \ne I(u)$. Another difficulty in the calculus of variations arises from the fact that the Bolzano-Weierstrass convergence theorem does not hold if the elements of the set are no longer points on a line or in a n-dimensional space, but functions, curves or surfaces.
As an example, let us consider a $\phi$ with the set of functions
$$\int_0^1 e^{xy} g(y) dy = f(x)$$ where $g(y)$ is any piecewise continuous function such that $|g(y)| \lt 1$ and where $x$ has an upper bound. Then $$|f(x) - f(\zeta)| \leq \int_0^1 |g(y)| |e^{xy} - e^{\zeta y}| dy$$

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