FORCE PROCESS
By Henryk Szubinski
singularity of force
= velocity 3 / simultaneous 4
= 4 root Volume
= 3 differenciality of Volume Dv process extansionality
= gravity leveling by process uncertainty of 3 diff 4 D4
=process of sigmats 3 . sigmats 4
= process response simulations back to gravity leveling as seperated from vector value 1 retracer 3 S = 3 .4x
=12 x
process now breaks up into 2 vector value spreads into 4 vectors
=this type of vector will define the process compatability with vector value 3
=3/4 of the process by the remaining 1 /4 value
=4 root volume by INVERTED VALUE locators = 1 /4 x ( INV 4 F) to define the values of the force that would otherwise
= a singular 1/4 x 4
so that the force is a basis usage of a singularity of a volume 1 /F to try to make a differencial moove on a value process as uncertain as the value previous to division as a 4 to the x value = singularity
the type of reference made to a value velocity 3 / simultaneous 4
= can be the singular 1 or it can be a value that is reduced to a singularity by the process of the force that is to be defined as
Vel 3 /( 4 sim to the x) = 1 /F ´
kinds of usage
a velocity can be simulated by making reference relations of the reduced values of the negative value decimals that result for the process of divisions as the value of reductions will define the reasons of why and how a velocity can be computatively mimicked by the process of the singularity formed by the values of the force between the process vectors as follows:
The Dewey Decimal Classification (DDC, also called the Dewey Decimal System) is a proprietary system of library classification developed by Melvil Dewey in 1876; it has been greatly modified and expanded through 22 major revisions, the most recent in 2003.[1] This system organizes books on library shelves in a specific and repeatable order that makes it easy to find any book and return it to its proper place. The system is used in 200,000 libraries in at least 135 countries.[2][3]
A designation such as Dewey 16 refers to the 16th edition of the DDC.
Uncertainty Reduction Theory was introduced in 1975 in the paper Some Exploration in Initial Interaction and Beyond: Toward a Developmental Theory of Interpersonal Communication. This theory, a collaborative effort of Charles R. Berger and Richard J. Calabrese, was proposed to predict and explain relational development (or lack thereof) between strangers.
The scope of the theory is narrowed down to rest on the premise that strangers, upon meeting, go through certain steps and checkpoints in order to reduce uncertainty about each other and form an idea of whether one likes or dislikes the other. To study this phenomenon, the interaction is viewed as going through several stages. Berger and Calabrese also introduce axioms and theorems regarding initial interaction behaviors.
Parallel evolution is the development of a similar trait in different not closely related species (that is in species of a different clade), but descending from the same ancestor
Evolution at an amino acid position. In each case, the left-hand species changes from incorporating alanine (A) at a specific position within a protein in a hypothetical common ancestor deduced from comparison of sequences of several species, and now incorporates serine (S) in its present-day form. The right-hand species may undergo divergent, parallel, or convergent evolution at this amino acid position relative to that of the first species.
Principal curves and manifolds
Principal curves and manifolds give the natural geometric framework for nonlinear dimensionality reduction and extend the geometric interpretation of PCA by explicitly constructing an embedded manifold, and by encoding using standard geometric projection onto the manifold. How to define the “simplicity” of the manifold is problem-dependent, however, it is commonly measured by the intrinsic dimensionality and/or the smoothness of the manifold.[1]
[edit]Kernel Principal Component Analysis
Perhaps the most widely used algorithm for manifold learning is kernel PCA[2]. It is a combination of Principal component analysis and the kernel trick. PCA begins by computing the covariance matrix of the matrix
It then projects the data onto the first k eigenvectors of that matrix. By comparison, KPCA begins by computing the covariance matrix of the data after being transformed into a higher-dimensional space,
It then projects the transformed data onto the first k eigenvectors of that matrix, just like PCA. It uses the kernel trick to factor away much of the computation, such that the entire process can be performed without actually computing . Of course Φ must be chosen such that it has a known corresponding kernel. Unfortunately, it is not trivial to find a good kernel for a given problem, so KPCA does not yield good results with some problems. For example, it is known to perform poorly with the swiss roll manifold.
KPCA has an internal model, so it can be used to map points onto its embedding that were not available at training time.