..OVERSIGHT and OVERSELF

By Henryk Szubinski

4 freedooms

the 5th framework the freedoom of knowledge moovement

Chordis6

the 7th framework Chordis

advice on using 5th law:taking 5 steps to make a decision or on knowledge recall as a basic training routine.

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.if theese positionals given my the MARS missions is similar to the JUDEAN complex of all of the Earths civilisations surrounding its free basis then there could be similar concurrance of the data that MArs had a simmilar surround basis on Mars with the Central Civilisation being similar to the EARTH data of a ancient REPUBLIC which was open to trade between civilisations similar to its own

Where upon every subsequent civilisation attempted to TRACK back in time in the science of ASTRONOMY…

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In mathematics, **eigenvalue**, **eigenvector**, and **eigenspace** are related concepts in the field of linear algebra. The prefix **eigen-** is the German word for **innate**, **idiosyncratic**, **own**.^{[1]} Linear algebra studies linear transformations, which are represented by matrices acting on vectors. Eigenvalues, eigenvectors and eigenspaces are properties of a matrix. They are computed by a method described below, give important information about the matrix, and can be used in matrix factorization. They have applications in areas of applied mathematics as diverse as economics and quantum mechanics.

In general, a matrix acts on a vector by changing both its magnitude and its direction. However, a matrix may act on certain vectors by changing only their magnitude, and leaving their direction unchanged (or possibly reversing it). These vectors are the *eigenvectors* of the matrix. A matrix acts on an eigenvector by multiplying its magnitude by a factor, which is positive if its direction is unchanged and negative if its direction is reversed. This factor is the *eigenvalue* associated with that eigenvector. An *eigenspace* is the set of all eigenvectors that have the same eigenvalue, together with the zero vector.

These concepts are formally defined in the language of matrices and linear transformations. Formally, if *A* is a linear transformation, a non-null vector **x**is an eigenvector of *A* if there is a scalar *λ* such that

The scalar *λ* is said to be an eigenvalue of *A* corresponding to the eigenvector **x**.

Fig. 3. When a surface is stretching equally in all directions (a homothety) each of the radial vectors is an eigenvector.

Vertical shrink (*k*_{2} < 1) and horizontal stretch (*k*_{1} > 1) of a unit square. Eigenvectors are **u**_{1} and**u**_{2} and eigenvalues are λ_{1} = *k*_{1} and λ_{2} = *k*_{2}. This transformation orients all vectors towards the principal eigenvector **u**_{1}.

The shape of a standing wave in a string fixed at its boundaries is an example of an eigenfunction of a differential operator. The admittable eigenvalues are governed by the length of the string and determine the frequency of oscillation.

Horizontal shear. The shear angle φ is given by*k* = cot φ, where *k* is the shear factor

Fig. 2. **A** acts to stretch the vector **x**, not change its direction, so **x** is an eigenvector of **A**.

basis of research PAUL BRUNTON

soldier and doctor of Journalism as well as Phoilosophy of MEdiations

as well as being on the top of the departament of CONTACTS WITH THE UNKNOWN during the 1 and 2nd world wars as the erliest example of a X file.

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on the QUEST for CONTACT…

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previous amount similarity vector angle to advanced projections of trigonometry of displacement total

THIS IS THE BASIC VECTOR USAGE OF THE ANCIENTS AS THE DATA 1 = SOME BASIS OF RECALL THROUGHOUT THE LIFE OF A EGYPTIAN WHILE SEARCHING FOR THE MEANING TO DATA 1 AS THE RECALL GAINS ITS REALISATION THAT THE DATA VALUE = TO THE FOLD OVER OF THE TIME SPENT RECALLING= TO THE TIME OF A LIFETIME IN UNITS AS BEING ISIDE THE SCOPE FOR THE LIFETIME VALUE AS HAVING BEEN WITHIN THE TOTAL NUMER OF TIMES SPENT LOOKING FOR IT AND THE USAGE OF THEESE VECTORS TO TRACK BACK AND FORWARDS TO MAKE THE FOLD VALUE WITHIN THE TIME OF A LIFE FOR A EGYPTIAN OR ANY OTHER PYRAMID RESEARCHER…

—————————————————————->DATA COUNT

<———————————————–FOLD BACK COUNT

————————————————————————–PREVIOUS TO END OF A DURATIONAL VALUE

.basic usage of MARS vechicles for the usage of the time lines to make interactive ASTRONAUT vector trackking of the dimensionls indicated on the surface as well as IN ORBIT:

data on fold overs are multiples and are scattered in the formats of the general data levels for positional point specifics as the values of gravity depressions in the dimensionality of Mars

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.IF THERE ARE PYRAMIDS ON MARS

it would be wise to know how they work on a basis of OVERSELF or OVERSIGHT in orbit on MArs while the Overslef would work for the Astronauts on Mars surface.

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If the *vector* represents a directed distance or *displacement* from a **…..** The term direction cosine refers to the cosine of the *angle* between two unit **…** The seven-dimensional cross product is *similar* to the cross product in that its **…** *vector* is a component whose direction is determined by a *projection* onto one **…**

To see the inner product connection, consider a *vector* v in an **…**

*Vector* A represents the *displacement* of George from Mary, while *vector* B **.**

**The components of the vector AB → are given by its projections on each of the coordinate axes. … (Trigonometry can also be used to find the component of the vector as … screw would advance if turned from A to B through the angle θ. …. If the vector represents a directed distance or displacement from a point …**

**Ω is the vector of earth rotation. The subscript ⊥ denotes projection … …. of the right side up value trigonometry of the verticie downwards into the MARS core … similar zone off side off the polar north pole as searching for similarities in … so that the amount of radialdisplacement =amount of sum angles …**

If the *angle* between the view *vector* and the normal *vector* is bigger, **…** [3] uses a *similar*particle model to simulate water spray. **…** where λ is a constant controlling the *amount* of*displacement*, and D is the *displacement vector*. **….** The next figure illustrates the method, it shows the *projection* of four water **…**

The mathematical concept of a **Hilbert space**, named after David Hilbert, generalizes the notion of Euclidean space. It extends the methods of vector algebraand calculus from the two-dimensional Euclidean plane and three-dimensional space to spaces with any finite or infinite number of dimensions. A Hilbert space is an abstract vector space possessing the structure of an inner product that allows length and angle to be measured. In addition, Hilbert spaces are required to be *complete*, a property that stipulates the existence of enough limits in the space to allow the techniques of calculus to be used.

Hilbert spaces arise naturally and frequently in mathematics, physics, and engineering, typically as infinite-dimensional function spaces. The earliest Hilbert spaces were studied from this point of view in the first decade of the 20th century by David Hilbert, Erhard Schmidt, and Frigyes Riesz. They are indispensable tools in the theories of partial differential equations, quantum mechanics, Fourier analysis (which includes applications to signal processing and heat transfer) and ergodic theory which forms the mathematical underpinning of the study of thermodynamics. John von Neumann coined the term “Hilbert space” for the abstract concept underlying many of these diverse applications. The success of Hilbert space methods ushered in a very fruitful era for functional analysis. Apart from the classical Euclidean spaces, examples of Hilbert spaces include spaces of square-integrable functions, spaces of sequences, Sobolev spacesconsisting of generalized functions, and Hardy spaces of holomorphic functions.

Completeness means that if a particle moves along the broken path (in blue) travelling a finite total distance, then the particle has a well-defined net displacement (in orange).

The path of a billiard ball in theBunimovich stadium is described by an ergodic dynamical system.

Superposition of sinusoidal wave basis functions (bottom) to form a sawtooth wave (top)

Spherical harmonics, an orthonormal basis for the Hilbert space of square-integrable functions on the sphere, shown graphed along the radial direction

The orbitals of an electron in a hydrogen atom are eigenfunctions of the energy.

Geometrically, the parallelogram identity asserts that AC^{2} + BD^{2} = 2(AB^{2} + AD^{2}). In words, the sum of the squares of the diagonals is twice the sum of the squares of any two adjacent sides.

Hence the red *vector* is an eigenvector of the transformation and the blue **…** In the meantime, Liouville studied eigenvalue problems *similar* to those of **…** The eigenvalue λ is simply the*amount* of “stretch” or “shrink” to which a **…..** If λ2 = 0, and λ1 = 1, the transformation is a*projection* of the surface L2 on **…**

**For simplicity I have not worried about the vector nature of velocity; …. And how can i find theangle that i see between the ruler and the direction of motion? … You should be able to do the trigonometry from here. ….. But millions is a really small number compared to the totalnumber of atoms in the objects …**

At a deeper level, perpendicular *projection* onto a subspace (the analog of **…** *total* distance, then the particle has a well-defined net *displacement* (in **…**

**Hilbert space and Eugen vectors**

Videos; Descriptions; *Wikipedia*; News; Related People; Related Sites **….** Precalculus –*Projection* of One *Vector* Onto Another **…..** A Level Maths c4 Vectors: Position *vector*, length of a *vector* and the *angle* between two vectors (scalar product). **…** then a normal map for it is rendered in a *similar* manner, **…**

**unit volume (the resultant sum of the normal vector forces on all six faces, divided by the …The similarity of these expressions for pressure and temperature amount to a …. 2gη where η is the displacement of the fluid surface at the right end. … integral of the projection of the gravity force along the tube, …**

Found a nifty diagram of a spring on *wikipedia* which is a good way of **…** It always seemed to me to be more of a scalar quantity than a *vector* quantity. **…..** some will bounce off having an*angle* of reflection equal to the *angle* of **…..** Thus the velocity is + or – 90 degrees out of phase with *displacement*, **…**

Our framework encompasses *previous* techniques and indicates a broad range of **……** 3.16*Similar* triangles show the relationships between z-translation and **…** 4.7 When a point’s view*vector* passes through the surface it will either be **…..** distance from the centre of *projection*creates a smaller *projection* . **…**

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A **pyramid** (from Greek “πυραμίς” – *pyramis*^{[1]}) is a structure where the outer surfaces are triangular and converge at a point. The base of a pyramid can be trilateral, quadrilateral, or any polygon shape, meaning that a pyramid has at least three triangular surfaces (at least four faces including the base). The square pyramid, with square base and four triangular outer surfaces, is a common version.

A pyramid’s design, with the majority of the weight closer to the ground,^{[2]} and with the pyramidion on top means that less material higher up on the pyramid will be pushing down from above: this distribution of weight allowed early civilizations to create stable monumental structures.

For thousands of years, the largest structures on earth were pyramids: first the Red Pyramid in the Dashur Necropolis and then the Great Pyramid of Khufu, both of Egypt, the latter the only one of the Seven Wonders of the Ancient World still remaining. It is still the tallest pyramid. The largest pyramid in the world ever built, by volume, is the Great Pyramid of Cholula, in the Mexican state of Puebla. This pyramid is still being excavated.