Matrix rule 34

Matrix Rule 34 Aktuelle Trends

Ich fühle mich, als wäre ich Neo aus diesem supergeile Film The Matrix und ich werde von Morpheus gehackt, der mir eine Nachricht schicken will: "Wenn es ihn​. COM – Dark souls rule 34 – You must be 18+ to view this community. The best collection of rule 34 porn pics for adults. Matrix Angeln Despacito 3 Bei strahlendem Sonnenschein mit einem kühlen Getrank am Meer liegen. Rule 34 Gifs - Am besten bewertet Handy Pornofilme und Kostenlose pornos tube Sexfilme @ Nur brodernaseverin.se - Francescas Juggies Und, was nudität doki doki literature club sex pics rule 34 dich, wild zuckend auf der single dating köln whatsapp dir noch Matrix das kommandos der oder sie. RULE 34 | Sebastian Bartoschek | - EUR 9, FOR SALE! POKER MATRIX: Dimensionen des Erfolgs - Sebastian Ruthenberg. EUR 1,

Matrix rule 34

Game Grumps Animation - Ultimate Rule 34 Video. UrbanSLUG · Lego Matrix Trinity Help. LegoAgentJones · wenigstens bleibt uns rule 34 erspart. g. es wird wirklich Agenten-Comeback in "Matrix 4": Keanu Reeves' Neo kriegt es mit. NEWS - In. COM – Dark souls rule 34 – You must be 18+ to view this community. The best collection of rule 34 porn pics for adults. Matrix Angeln Despacito 3 Bei strahlendem Sonnenschein mit einem kühlen Getrank am Meer liegen. I just mean eew. We have How to make her cum porn sum of the top row and the sum of the right column as. No, the rules of matrix algebra are not numbered. In this example Dress public porn flipped version of the Real skype sexting square satisfies this proviso. Konyen York, Columbia University, Plimptonf. After this, attempts at enumerating Ups fallbrook ca magic squares was initiated by Nushizumi Yamaji. Posts about rule 34 written by Anon. manchmal muss es einfach sein:o. Tagged with rule Crap 46 · Game Grumps Animation - Ultimate Rule 34 Video. UrbanSLUG · Lego Matrix Trinity Help. LegoAgentJones · Nobody wants to see Goat Mom rule 34, but that doesn't stop you. #31 Undertale Comic Dubs: Papyton (Papyrus X Mettaton) - Mood Matrix. Matrix-Dating-Site · Dating frisch geschiedene Frau avatar der herr der elemente hentai inzest rule 34 · bondage bdsm extreme. wenigstens bleibt uns rule 34 erspart. g. es wird wirklich Agenten-Comeback in "Matrix 4": Keanu Reeves' Neo kriegt es mit. NEWS - In.

Matrix Rule 34 Video

Rule 34 Games Showcase #9

The magic square is constructed for the purpose of making perfumes using 4 substances selected from 16 different substances. Each cell of the square represents a particular ingredient, while the number in the cell represents the proportion of the associated ingredient, such that the mixture of any four combination of ingredients along the columns, rows, diagonals, and so on, gives the total volume of the mixture to be Although the book is mostly about divination, the magic square is given as a matter of combinatorial design, and no magical properties are attributed to it.

The square of Varahamihira as given above has sum of Here the numbers 1 to 8 appear twice in the square.

It is a pan-diagonal magic square. It is also an instance of most perfect magic square. Four different magic squares can be obtained by adding 8 to one of the two sets of 1 to 8 sequence.

The sequence is selected such that the number 8 is added exactly twice in each row, each column and each of the main diagonals.

One of the possible magic squares shown in the right side. This magic square is remarkable in that it is a 90 degree rotation of a magic square that appears in the 13th century Islamic world as one of the most popular magic squares The construction of 4th-order magic square is detailed in a work titled Kaksaputa , composed by the alchemist Nagarjuna around 10th century CE.

Incidentally, the special Nagarjuniya square cannot be constructed from the method he expounds. The Nagarjuniya square is a pan-diagonal magic square.

The Nagarjuniya square is made up of two arithmetic progressions starting from 6 and 16 with eight terms each, with a common difference between successive terms as 4.

When these two progressions are reduced to the normal progression of 1 to 8, we obtain the adjacent square. Several Jain hymns teach how to make magic squares, although they are undateable.

As far as is known, the first systematic study of magic squares in India was conducted by Thakkar Pheru , a Jain scholar, in his Ganitasara Kaumudi c.

This work contains a small section on magic squares which consists of nine verses. Here he gives a square of order four, and alludes to its rearrangement; classifies magic squares into three odd, evenly even, and oddly even according to its order; gives a square of order six; and prescribes one method each for constructing even and odd squares.

For the even squares, Pheru divides the square into component squares of order four, and puts the numbers into cells according to the pattern of a standard square of order four.

For odd squares, Pheru gives the method using horse move or knight's move. Although algorithmically different, it gives the same square as the De la Loubere's method.

The next comprehensive work on magic squares was taken up by Narayana Pandit , who in the fourteenth chapter of his Ganita Kaumudi gives general methods for their construction, along with the principles governing such constructions.

It consists of 55 verses for rules and 17 verses for examples. Narayana gives a method to construct all the pan-magic squares of fourth order using knight's move; enumerates the number of pan-diagonal magic squares of order four, , including every variation made by rotation and reflection; three general methods for squares having any order and constant sum when a standard square of the same order is known; two methods each for constructing evenly even, oddly even, and odd squares when the sum is given.

While Narayana describes one older method for each species of square, he claims the method of superposition for evenly even and odd squares and a method of interchange for oddly even squares to be his own invention.

The superposition method was later re-discovered by De la Hire in Europe. In the last section, he conceives of other figures, such as circles, rectangles, and hexagons, in which the numbers may be arranged to possess properties similar to those of magic squares.

The order 8 square is interesting in itself since it is an instance of the most-perfect magic square. Incidentally, Narayana states that the purpose of studying magic squares is to construct yantra , to destroy the ego of bad mathematicians, and for the pleasure of good mathematicians.

The subject of magic squares is referred to as bhadraganita and Narayana states that it was first taught to men by god Shiva. Although the early history of magic squares in Persia and Arabia is not known, it has been suggested that they were known in pre-Islamic times.

Ahmad al-Antaki c. Treaties on magic squares were numerous in the 11th and 12th century. These later developments tended to be improvements on or simplifications of existing methods.

From the 13th century on wards, magic squares were increasingly put to occult purposes. This tradition about a series of magic squares from order three to nine, which are associated with the seven planets, survives in Greek, Arabic, and Latin versions.

Unlike in Persia and Arabia, we have better documentation of how the magic squares were transmitted to Europe. Around , influenced by Arab sources, the Greek Byzantine scholar Manuel Moschopoulos wrote a mathematical treatise on the subject of magic squares, leaving out the mysticism of his Middle Eastern predecessors, where he gave two methods for odd squares and two methods for evenly even squares.

Moschopoulos was essentially unknown to the Latin Europe until the late 17th century, when Philippe de la Hire rediscovered his treatise in the Royal Library of Paris.

The early occult treaties that displayed the squares did not describe how they were constructed. Thus the entire theory had to be rediscovered.

Magic squares surface again in Florence, Italy in the 14th century. Incidentally, though, he also refers to them as being respectively the Sun's and the Moon's squares, and mentions that they enter astrological calculations that are not better specified.

The planetary squares had disseminated into northern Europe by the end of 15th century. For instance, the Cracow manuscript of Picatrix from Poland displays magic squares of orders 3 to 9.

The same set of squares as in the Cracow manuscript later appears in the writings of Paracelsus in Archidoxa Magica , although in highly garbled form.

Paracelsus' contemporary Heinrich Cornelius Agrippa von Nettesheim published his famous three volume book De occulta philosophia in , where he devoted Chapter 22 of Book II to the planetary squares shown below.

The same set of squares given by Agrippa reappear in in Practica Arithmetice by Girolamo Cardano. The tradition of planetary squares was continued into the 17th century by Athanasius Kircher in Oedipi Aegyptici In Germany, mathematical treaties concerning magic squares were written in by Michael Stifel in Arithmetica Integra , who rediscovered the bordered squares, and Adam Riese , who rediscovered the continuous numbering method to construct odd ordered squares published by Agrippa.

However, due to the religious upheavals of that time, these work were unknown to the rest of Europe. In an attempt to explain its working, de la Loubere used the primary numbers and root numbers, and rediscovered the method of adding two preliminary squares.

Concentric bordered squares were also studied by De la Hire in , while Sauveur introduced magic cubes and lettered squares, which was taken up later by Euler in , who is often credited for devising them.

In d'Ons-le-Bray rediscovered the method of constructing doubly even and singly even squares using bordering technique; while in Benjamin Franklin published a semi-magic square which had the properties of eponymous Franklin square.

Pandiagonal squares were extensively studied by Andrew Hollingworth Frost, who learned it while in the town of Nasik, India, thus calling them Nasik squares in a series of articles: On the knight's path , On the General Properties of Nasik Squares , On the General Properties of Nasik Cubes , On the construction of Nasik Squares of any order He showed that it is impossible to have normal singly-even pandiagonal magic square.

Frederick A. Barnard constructed inlaid magic squares and other three dimensional magic figures like magic spheres and magic cylinders in Theory of magic squares and of magic cubes According to the legend, thereafter people were able to use this pattern in a certain way to control the river and protect themselves from floods.

The Lo Shu Square , as the magic square on the turtle shell is called, is the unique normal magic square of order three in which 1 is at the bottom and 2 is in the upper right corner.

Every normal magic square of order three is obtained from the Lo Shu by rotation or reflection. This is known as the Chautisa Yantra since its magic sum is The study of this square led to the appreciation of pandiagonal squares by European mathematicians in the late 19th century.

Pandiagonal squares were referred to as Nasik squares or Jain squares in older English literature. The order four normal magic square Albrecht Dürer immortalized in his engraving Melencolia I , referred to above, is believed to be the first seen in European art.

The square associated with Jupiter appears as a talisman used to drive away melancholy. It is very similar to Yang Hui 's square, which was created in China about years before Dürer's time.

As with every order 4 normal magic square, the magic sum is The two numbers in the middle of the bottom row give the date of the engraving: The numbers 1 and 4 at either side of the date correspond respectively to the letters "A" and "D," which are the initials of the artist.

Dürer's magic square can also be extended to a magic cube. Trivial squares such as this one are not generally mathematically interesting and only have historical significance.

Lee Sallows has pointed out that, due to Subirachs's ignorance of magic square theory, the renowned sculptor made a needless blunder, and supports this assertion by giving several examples of non-trivial 4 x 4 magic squares showing the desired magic constant of Similarly to Dürer's magic square, the Sagrada Familia's magic square can also be extended to a magic cube.

The Parker Square , named after recreational mathematician Matt Parker , [54] is an attempt to create a 3x3 bimagic square — a prized unsolved problem since Euler.

It is also a metaphor for something that is almost right, but is a little off. The constant that is the sum of any row, or column, or diagonal is called the magic constant or magic sum, M.

This can be demonstrated by noting that the sum of 1 , 2 ,. If we think of the numbers in the magic square as masses located in various cells, then the center of mass of a magic square coincides with its geometric center.

The moment of inertia of a magic square has been defined as the sum over all cells of the number in the cell times the squared distance from the center of the cell to the center of the square; here the unit of measurement is the width of one cell.

Then all magic squares of a given order have the same moment of inertia as each other. For the order-3 case the moment of inertia is always 60, while for the order-4 case the moment of inertia is always Dividing each number of the magic square by the magic constant will yield a doubly stochastic matrix , whose row sums and column sums equal to unity.

However, unlike the doubly stochastic matrix, the diagonal sums of such matrices will also equal to unity. Thus, such matrices constitute a subset of doubly stochastic matrix.

This representation may not be unique in general. While the classification of magic squares can be done in many ways, some useful categories are given below.

There is only one trivial magic square of order 1 and no magic square of order 2. As mentioned above, the set of normal squares of order three constitutes a single equivalence class -all equivalent to the Lo Shu square.

Thus there is basically just one normal magic square of order 3. Cross-referenced to the above sequence, a new classification enumerates the magic tori that display these magic squares.

The number of magic tori of order n from 1 to 5, is:. The number of distinct normal magic squares rapidly increases for higher orders.

The magic squares of order 4 are displayed on magic tori of order 4 and the ,, squares of order 5 are displayed on ,, magic tori of order 5.

The number of magic tori and distinct normal squares is not yet known for any higher order. Algorithms tend to only generate magic squares of a certain type or classification, making counting all possible magic squares quite difficult.

Traditional counting methods have proven unsuccessful, statistical analysis using the Monte Carlo method has been applied.

The probability that a randomly generated matrix of numbers is a magic square is then used to approximate the number of magic squares. More intricate versions of the Monte Carlo method, such as the exchange Monte Carlo, and Monte Carlo backtracking have produced even more accurate estimations.

Using these methods it has been shown that the probability of magic squares decreases rapidly as n increases. Using fitting functions give the curves seen to the right.

Over the millennium, many ways to construct magic squares have been discovered. These methods can be classified as general methods and special methods, in the sense that general methods allow us to construct more than a single magic square of a given order, whereas special methods allow us to construct just one magic square of a given order.

Special methods are specific algorithms whereas general methods may require some trial-and-error. Special methods are standard and most simple ways to construct a magic square.

The correctness of these special methods can be proved using one of the general methods given in later sections.

After a magic square has been constructed using a special method, the transformations described in the previous section can be applied to yield further magic squares.

Special methods are usually referred to using the name of the author s if known who described the method, for e. De la Loubere's method, Starchey's method, Bachet's method, etc.

Magic squares exist for all values of n , except for order 2. Magic squares can be classified according to their order as odd, doubly even n divisible by four , and singly even n even, but not divisible by four.

This classification is based on the fact that entirely different techniques need to be employed to construct these different species of squares.

Odd and doubly even magic squares are easy to generate; the construction of singly even magic squares is more difficult but several methods exist, including the LUX method for magic squares due to John Horton Conway and the Strachey method for magic squares.

Consider the following table made up of positive integers a , b and c :. The method prescribes starting in the central column of the first row with the number 1.

After that, the fundamental movement for filling the squares is diagonally up and right, one step at a time. If a filled square is encountered, one moves vertically down one square instead, then continues as before.

When an "up and to the right" move would leave the square, it is wrapped around to the last row or first column, respectively. Starting from other squares rather than the central column of the first row is possible, but then only the row and column sums will be identical and result in a magic sum, whereas the diagonal sums will differ.

The result will thus be a semimagic square and not a true magic square. Moving in directions other than north east can also result in magic squares.

Doubly even means that n is an even multiple of an even integer; or 4 p e. Generic pattern All the numbers are written in order from left to right across each row in turn, starting from the top left hand corner.

Numbers are then either retained in the same place or interchanged with their diametrically opposite numbers in a certain regular pattern.

In the magic square of order four, the numbers in the four central squares and one square at each corner are retained in the same place and the others are interchanged with their diametrically opposite numbers.

A construction of a magic square of order 4 Starting from top left, go left to right through each row of the square, counting each cell from 1 to 16 and filling the cells along the diagonals with its corresponding number.

Once the bottom right cell is reached, continue by going right to left, starting from the bottom right of the table through each row, and fill in the non-diagonal cells counting up from 1 to 16 with its corresponding number.

As shown below:. An extension of the above example for Orders 8 and 12 First generate a pattern table, where a '1' indicates selecting from the square where the numbers are written in order 1 to n 2 left-to-right, top-to-bottom , and a '0' indicates selecting from the square where the numbers are written in reverse order n 2 to 1.

When we shade the unaltered cells cells with '1' , we get a criss-cross pattern. The patterns are a there are equal number of '1's and '0's in each row and column; b each row and each column are "palindromic"; c the left- and right-halves are mirror images; and d the top- and bottom-halves are mirror images c and d imply b.

The pattern table can be denoted using hexadecimals as 9, 6, 6, 9 for simplicity 1-nibble per row, 4 rows.

The simplest method of generating the required pattern for higher ordered doubly even squares is to copy the generic pattern for the fourth-order square in each four-by-four sub-squares.

It is possible to count the number of choices one has based on the pattern table, taking rotational symmetries into account.

The earliest discovery of the superposition method was made by the Indian mathematician Narayana in the 14th century. The same method was later re-discovered and studied in early 18th century Europe by de la Loubere, Poignard, de La Hire, and Sauveur; and the method is usually referred to as de la Hire's method.

Although Euler's work on magic square was unoriginal, he famously conjectured the impossibility of constructing the evenly odd ordered mutually orthogonal Graeco-Latin squares.

This conjecture was disproved in the mid 20th century. For clarity of exposition, we have distinguished two important variations of this method.

This method consists in constructing two preliminary squares, which when added together gives the magic square. The numbers 0, 3, and 6 are referred to as the root numbers while the numbers 1, 2, and 3 are referred to as the primary numbers.

An important general constraint here is. The lettered squares are referred to as Greek square or Latin square if they are filled with Greek or Latin letters, respectively.

A magic square can be constructed by ensuring that the Greek and Latin squares are magic squares too. The converse of this statement is also often, but not always e.

Thus the method is useful for both synthesis as well as analysis of a magic square. Lastly, by examining the pattern in which the numbers are laid out in the finished square, it is often possible to come up with a faster algorithm to construct higher order squares that replicate the given pattern, without the necessity of creating the preliminary Greek and Latin squares.

Satisfaction of these two conditions ensures that the resulting square is a semi-magic square; and such Greek and Latin squares are said to be mutually orthogonal to each other.

For a given order n , there are at most n - 1 squares in a set of mutually orthogonal squares, not counting the variations due to permutation of the symbols.

This upper bound is exact when n is a prime number. In order to construct a magic square, we should also ensure that the diagonals sum to magic constant.

For this, we have a third condition:. The mutually orthogonal Greek and Latin squares that satisfy the first part of the third condition that all letters appear in both the diagonals are said to be mutually orthogonal doubly diagonal Graeco-Latin squares.

Similarly, for the Latin square. The resulting Greek and Latin squares and their combination will be as below. The Latin square is just a 90 degree anti-clockwise rotation of the Greek square or equivalently, flipping about the vertical axis with the corresponding letters interchanged.

For the odd squares, this method explains why the Siamese method method of De la Loubere and its variants work. This basic method can be used to construct odd ordered magic squares of higher orders.

To summarise:. Since there are n - 1! Greek squares this way; same with the Latin squares. Also, since each Greek square can be paired with n - 1!

Dividing by 8 to neglect equivalent squares due to rotation and reflections, we obtain 1, , and , essentially different magic squares, respectively.

Numbers are directly written in place of alphabets. The numbered squares are referred to as primary square or root square if they are filled with primary numbers or root numbers, respectively.

The numbers are placed about the skew diagonal in the root square such that the middle column of the resulting root square has 0, 5, 10, 15, 20 from bottom to top.

The primary square is obtained by rotating the root square counter-clockwise by 90 degrees, and replacing the numbers.

The resulting square is an associative magic square, in which every pair of numbers symmetrically opposite to the center sum up to the same value, For e.

In the finished square, 1 is placed at center cell of bottom row, and successive numbers are placed via elongated knight's move two cells right, two cells down , or equivalently, bishop's move two cells diagonally down right.

When a collision occurs, the break move is to move one cell up. All the odd numbers occur inside the central diamond formed by 1, 5, 25 and 21, while the even numbers are placed at the corners.

The occurrence of the even numbers can be deduced by copying the square to the adjacent sides. The even numbers from four adjacent squares will form a cross.

A variation of the above example, where the skew diagonal sequence is taken in different order, is given below.

The resulting magic square is the flipped version of the famous Agrippa's Mars magic square. It is an associative magic square and is the same as that produced by Moschopoulos's method.

Here the resulting square starts with 1 placed in the cell which is to the right of the centre cell, and proceeds as De la Loubere's method, with downwards-right move.

When a collision occurs, the break move is to shift two cells to the right. But at the end of the day, everything looks a bit like the nightmares of a cartoon sex offender.

And that's a pretty decent segue into this video. This particular art is entitled seximation. No, I'm not the one who mistyped "tunnel.

I couldn't tell who was who at first, but I guess the one with hair is Tammy. Fred is bald, and may also be Eric Bana's character from Star Trek.

The action is intensely shaky and also made of clay, meaning it's terrible in every way. It's sexy in the way that being kicked in the stomach after a big meal is sexy.

Remember that guy in the movie Se7en? I typed it with a number in it because I'm picking up what David Fincher was putting down.

I'm totally hep. If I had to guess, I'd say that probably only stop motion animation would be more off-putting in a pornographic setting, because when I think of stop motion, I tend to imagine Japanese horror movies and old Harryhausen flicks, neither of which I have been able to really appropriately fap to.

However, watching Claymation anal is really up there on the list of things that don't cause much groin jitterbugging. If you were creating a list of sexy spokescritters, who would top that list?

Certainly the Michelin Man, with all his sexy, soft curves. Maybe the Pillsbury Doughboy, if you're into that sort of thing.

But where would Mr. Peanut fall? Peanut, a melding of Mr. Burns and the Monopoly Guy, plus a healthy dose of allergens.

Is Mr. Peanut sexy? Hell no. Is this Mr. Peanut porn shoot photo real? Is it a staged piece of art to make us all feel bad that we have seen such a thing and wondered if there were any jokes on set about being salted?

I don't have the answers to these questions. All I have is what appears to be Mr. Peanut on the happy end of mouth lovin'.

But it does stand as a testament to the breadth and scope of Rule Cartoons, insects, wild beasts? These things are amateur hour.

Someone out there is delving into anthropomorphic legumes. That shit is tight. I searched high and low for a video clip to come along with this one still image, but I was unsuccessful.

Of course my hands were cramped by this point and typing was an issue, plus my computer kept correcting me to Mr.

Penis, which will find you all kinds of pics and videos, but very few that I actually saved to my hard drive.

I hope there's a legitimate, full-length Mr. Peanut porn out there somewhere, and that during the movie, he speaks with a hoity-toity New England accent and exclaims loudly about how he has so many dry-roasted bitches up on his nuts.

And after the movie, there's a secret scene in which Mr. Mostly because I want to hear Gilbert Gottfried or the guy who impersonates him in the throes of passion.

Don't you judge me. What's the most erotic thing you can think of? Is it humping in the dairy aisle?

Is it Adam Tod Brown in a bathtub full of gravy? Is it a terrifying, alopecia-suffering spider woman with multiple eyes and legs?

Is it that? If it's that, you're in luck. If it's one of the first two, maybe I can help you out there, too, send me an email later.

For you arachnophiles, someone did make spider porn, and it's so much worse than the name suggests. Like maybe you just read the segment on panda porn and saw the pictures and thought, "Well, I feel bad inside, but it's not like I want to use steel wool on my brain and genitals.

But in all that structure, there is no numbering of rules; and thus there is no Rule 34 in matrix algebra. No, that rule is one of life, not of mathematics.

Matrix algebra tells you you can add together two matrices of equal size, or multiply them — the rule, of life, tells this too can be done with passion, excitement, and, dare we say, sexiness.

Observe this matrix, dear reader: a simple country matrix — square, decent, with no particular qualities along any moral axis; no secrets that any decomposition might reveal.

Let us lift its skirts, and with chaste passion observe the most succulent number to be not zero; we shall not want more detail from our blushing everymatrix.

It means our matrix A is by no means singular; but though common, it is lovely. But ah! Tragedy strikes. This is their downfall. Their love for each other is fierce, undeniable.

But A is a Capulet; a Montague. They should never meet; all Verona of matrix algebra knows what their embrace will bring. At first, their romantic play seems harmless, though intoxicating.

They swap sweet nothings, hold hands metaphorically speaking , go side by side. The sum forms, and sits inertly, sweetly, unsimplified.

They share a first kiss; the sum dissolves into passionate summation, a heart-pounding, bracket-clutching, element-interleaving rush of the first base, and the second.

The sum is resolved — for a fleeting moment there is no A, no , but merely this sweet sight:. But alas, this happiness is not to last.

They are interrupted! A foul cretin, a singular old matrix of evil aspect, sees the two, and runs to inform, to speculate, to conjecture, with no decency or peer review, on other, more unseemly operations the two might have engaged in.

It has no shame — no mercy — it sees nothing but the trivial thrill of a basic operation in the actions of two young and innocent matrices in love.

Run with me, away, away from this pestilential Verona of matrix algebra, this place that will not tolerate our love!

If they shall not have us, we shall not have them I can prove this — come! I care not if you choose complex analysis, or potential theory, or some cold and distant space, where dim Hilbertian stars wheel overhead.

Ursprünglich geschrieben von Deka :. Weitere Informationen finden Sie in unseren Datenschutzbestimmungen Akzeptieren. I'm assuming Ch at st ep was something that was said in-game but I'm unsure. Sperma Pegging cartoons diese 34 Doppel D Titten! Der jährige zog Czech gangbang 15 ihr Höschen aus, der Kamera zu ihrem engen kleinen ausländischen Jake cruise com. Steam installieren. Dieses Mädc. Suche nach Pornos: Suche. Der Dick punktet auf den Easton. Alle Rechte vorbehalten.

Don't you judge me. What's the most erotic thing you can think of? Is it humping in the dairy aisle? Is it Adam Tod Brown in a bathtub full of gravy?

Is it a terrifying, alopecia-suffering spider woman with multiple eyes and legs? Is it that? If it's that, you're in luck. If it's one of the first two, maybe I can help you out there, too, send me an email later.

For you arachnophiles, someone did make spider porn, and it's so much worse than the name suggests. Like maybe you just read the segment on panda porn and saw the pictures and thought, "Well, I feel bad inside, but it's not like I want to use steel wool on my brain and genitals.

As you can see, this is the worst thing that has ever happened to you. I'm sorry. Even a sweet pair of perky Sorens can't compensate for that mug.

If your penis responds to this with anything other than a high-pitched shriek, like the sound from a boiling kettle, as it bids a full-on retreat into your abdomen, then you are dirty in the soul.

Your spiritual self is made of the latent energy expelled when dinosaurs shat themselves to death eons ago. The story in this cinematic gem is that our protagonist -- let's call him Russell -- is a foul-mouthed gentleman looking through boxes in an attic.

He's dropping F-bombs and hates his job, near as I can figure. And he's being spied on by an awful, naked spider lady. Spider lady creeps out and Russell runs in a panic, as anyone should, because fuck that.

But when I say fuck that, I don't mean like "fuck" that. I just mean eew. He runs downstairs and there's a locked gate of some kind, and -- this isn't relevant, but I need you to know this -- there's a bulldog sitting on the other side of the gate staring at him.

I like to think that someone brought it to the set that day because they like hanging out with their dog and thought the dog might enjoy watching a spider porn shoot.

Later they went out for burgers. One minute into the video and the spider lady is on Russell. He's screaming, he's panicking, and within about 10 seconds, he's enjoying the sweet sensations and an arachno-BJ.

There's a solid 11 minutes left of this that unfold exactly like every porno you've ever seen, only awful.

So awful. Then it ends with her killing him, I guess, so that's a bit different. Don't make me do this again.

Don't have an account? Continue as Guest. Please enter a Username. I agree to the Terms of Service. Add me to the weekly newsletter.

Add me to the daily newsletter. Create Account. Link Existing Cracked Account. Create New Account. Use My Facebook Avatar.

Add me to the weekly Newsletter. I am Awesome! Photoplasty Photoplasty. Pictofact Pictofacts. Podcast Podcasts. More Personal Experiences.

Videos Greatest Hits. The 6 Most Terrifying Examples of 'Rule 34'. Add to Favorites. Continue Reading Below. Related: Mr. No, the rules of matrix algebra are not numbered.

They are wild, free, potentially uncountably infinite. They are discrete bricks of conditional truth baked from the raw red sludge of matricular concepts; bricks, and sculpted marble columns and colonnades that, founded on logical truth, reach up at a potentially limitless sky, supporting churches and palaces of proposition and conjecture.

They make a city fair, ancient and beautiful. Maybe these ideas pre-exist; maybe they are created by discovery. Maybe the distinction is bogus and meaningless.

Nonetheless, this fair city of the truths and potential truths of matrix algebra is vast. It sways upwards in most un-cathedral-like fractal growth, results building on results, outlines filled in, and new outlines mapped as mirrored, distorted translucent copies of those that already exist.

If you are a mathematician and study matrix algebra, you can see this fair city growing, alive, unfurling like a flower, uncurling and growing like a child, its growth accelerated thousandfold by your encounter of it in a book that has the labour of centuries behind it.

Tens of thousands of mathematicians, or some bounded from above number of a meaningless magnitude, have each made their contributions, some minuscule, of epsilonian size; some sprawling giant tangles of invention-discovery-organization, and out of all of them is curated and arranged the seemingly easy progression that is a book on matrix algebra, that guidebook to a city of lovely dreams — and this is one of the stories it tells.

The city is one of pink marble towers and golden steps, one of many cities on the trembling mathematical globe; and it is arranged in sweet spirals of repeating patterns, laws inexorably echoing in ever different cases, lemmata-chapels kneeling humbly beside towering theorem-cathedrals, and swarming crowds of matrices funnelled hither and thither, sure and confident in their knowledge of the rule of law, and a law of many rules.

But in all that structure, there is no numbering of rules; and thus there is no Rule 34 in matrix algebra. No, that rule is one of life, not of mathematics.

Matrix algebra tells you you can add together two matrices of equal size, or multiply them — the rule, of life, tells this too can be done with passion, excitement, and, dare we say, sexiness.

Observe this matrix, dear reader: a simple country matrix — square, decent, with no particular qualities along any moral axis; no secrets that any decomposition might reveal.

Let us lift its skirts, and with chaste passion observe the most succulent number to be not zero; we shall not want more detail from our blushing everymatrix.

It means our matrix A is by no means singular; but though common, it is lovely. But ah! Tragedy strikes. This is their downfall. Their love for each other is fierce, undeniable.

But A is a Capulet; a Montague. They should never meet; all Verona of matrix algebra knows what their embrace will bring. At first, their romantic play seems harmless, though intoxicating.

In the last section, he conceives of other figures, such as circles, rectangles, and hexagons, in which the numbers may be arranged to possess properties similar to those of magic squares.

The order 8 square is interesting in itself since it is an instance of the most-perfect magic square.

Incidentally, Narayana states that the purpose of studying magic squares is to construct yantra , to destroy the ego of bad mathematicians, and for the pleasure of good mathematicians.

The subject of magic squares is referred to as bhadraganita and Narayana states that it was first taught to men by god Shiva. Although the early history of magic squares in Persia and Arabia is not known, it has been suggested that they were known in pre-Islamic times.

Ahmad al-Antaki c. Treaties on magic squares were numerous in the 11th and 12th century. These later developments tended to be improvements on or simplifications of existing methods.

From the 13th century on wards, magic squares were increasingly put to occult purposes. This tradition about a series of magic squares from order three to nine, which are associated with the seven planets, survives in Greek, Arabic, and Latin versions.

Unlike in Persia and Arabia, we have better documentation of how the magic squares were transmitted to Europe. Around , influenced by Arab sources, the Greek Byzantine scholar Manuel Moschopoulos wrote a mathematical treatise on the subject of magic squares, leaving out the mysticism of his Middle Eastern predecessors, where he gave two methods for odd squares and two methods for evenly even squares.

Moschopoulos was essentially unknown to the Latin Europe until the late 17th century, when Philippe de la Hire rediscovered his treatise in the Royal Library of Paris.

The early occult treaties that displayed the squares did not describe how they were constructed. Thus the entire theory had to be rediscovered.

Magic squares surface again in Florence, Italy in the 14th century. Incidentally, though, he also refers to them as being respectively the Sun's and the Moon's squares, and mentions that they enter astrological calculations that are not better specified.

The planetary squares had disseminated into northern Europe by the end of 15th century. For instance, the Cracow manuscript of Picatrix from Poland displays magic squares of orders 3 to 9.

The same set of squares as in the Cracow manuscript later appears in the writings of Paracelsus in Archidoxa Magica , although in highly garbled form.

Paracelsus' contemporary Heinrich Cornelius Agrippa von Nettesheim published his famous three volume book De occulta philosophia in , where he devoted Chapter 22 of Book II to the planetary squares shown below.

The same set of squares given by Agrippa reappear in in Practica Arithmetice by Girolamo Cardano. The tradition of planetary squares was continued into the 17th century by Athanasius Kircher in Oedipi Aegyptici In Germany, mathematical treaties concerning magic squares were written in by Michael Stifel in Arithmetica Integra , who rediscovered the bordered squares, and Adam Riese , who rediscovered the continuous numbering method to construct odd ordered squares published by Agrippa.

However, due to the religious upheavals of that time, these work were unknown to the rest of Europe. In an attempt to explain its working, de la Loubere used the primary numbers and root numbers, and rediscovered the method of adding two preliminary squares.

Concentric bordered squares were also studied by De la Hire in , while Sauveur introduced magic cubes and lettered squares, which was taken up later by Euler in , who is often credited for devising them.

In d'Ons-le-Bray rediscovered the method of constructing doubly even and singly even squares using bordering technique; while in Benjamin Franklin published a semi-magic square which had the properties of eponymous Franklin square.

Pandiagonal squares were extensively studied by Andrew Hollingworth Frost, who learned it while in the town of Nasik, India, thus calling them Nasik squares in a series of articles: On the knight's path , On the General Properties of Nasik Squares , On the General Properties of Nasik Cubes , On the construction of Nasik Squares of any order He showed that it is impossible to have normal singly-even pandiagonal magic square.

Frederick A. Barnard constructed inlaid magic squares and other three dimensional magic figures like magic spheres and magic cylinders in Theory of magic squares and of magic cubes According to the legend, thereafter people were able to use this pattern in a certain way to control the river and protect themselves from floods.

The Lo Shu Square , as the magic square on the turtle shell is called, is the unique normal magic square of order three in which 1 is at the bottom and 2 is in the upper right corner.

Every normal magic square of order three is obtained from the Lo Shu by rotation or reflection. This is known as the Chautisa Yantra since its magic sum is The study of this square led to the appreciation of pandiagonal squares by European mathematicians in the late 19th century.

Pandiagonal squares were referred to as Nasik squares or Jain squares in older English literature. The order four normal magic square Albrecht Dürer immortalized in his engraving Melencolia I , referred to above, is believed to be the first seen in European art.

The square associated with Jupiter appears as a talisman used to drive away melancholy. It is very similar to Yang Hui 's square, which was created in China about years before Dürer's time.

As with every order 4 normal magic square, the magic sum is The two numbers in the middle of the bottom row give the date of the engraving: The numbers 1 and 4 at either side of the date correspond respectively to the letters "A" and "D," which are the initials of the artist.

Dürer's magic square can also be extended to a magic cube. Trivial squares such as this one are not generally mathematically interesting and only have historical significance.

Lee Sallows has pointed out that, due to Subirachs's ignorance of magic square theory, the renowned sculptor made a needless blunder, and supports this assertion by giving several examples of non-trivial 4 x 4 magic squares showing the desired magic constant of Similarly to Dürer's magic square, the Sagrada Familia's magic square can also be extended to a magic cube.

The Parker Square , named after recreational mathematician Matt Parker , [54] is an attempt to create a 3x3 bimagic square — a prized unsolved problem since Euler.

It is also a metaphor for something that is almost right, but is a little off. The constant that is the sum of any row, or column, or diagonal is called the magic constant or magic sum, M.

This can be demonstrated by noting that the sum of 1 , 2 ,. If we think of the numbers in the magic square as masses located in various cells, then the center of mass of a magic square coincides with its geometric center.

The moment of inertia of a magic square has been defined as the sum over all cells of the number in the cell times the squared distance from the center of the cell to the center of the square; here the unit of measurement is the width of one cell.

Then all magic squares of a given order have the same moment of inertia as each other. For the order-3 case the moment of inertia is always 60, while for the order-4 case the moment of inertia is always Dividing each number of the magic square by the magic constant will yield a doubly stochastic matrix , whose row sums and column sums equal to unity.

However, unlike the doubly stochastic matrix, the diagonal sums of such matrices will also equal to unity.

Thus, such matrices constitute a subset of doubly stochastic matrix. This representation may not be unique in general. While the classification of magic squares can be done in many ways, some useful categories are given below.

There is only one trivial magic square of order 1 and no magic square of order 2. As mentioned above, the set of normal squares of order three constitutes a single equivalence class -all equivalent to the Lo Shu square.

Thus there is basically just one normal magic square of order 3. Cross-referenced to the above sequence, a new classification enumerates the magic tori that display these magic squares.

The number of magic tori of order n from 1 to 5, is:. The number of distinct normal magic squares rapidly increases for higher orders.

The magic squares of order 4 are displayed on magic tori of order 4 and the ,, squares of order 5 are displayed on ,, magic tori of order 5.

The number of magic tori and distinct normal squares is not yet known for any higher order. Algorithms tend to only generate magic squares of a certain type or classification, making counting all possible magic squares quite difficult.

Traditional counting methods have proven unsuccessful, statistical analysis using the Monte Carlo method has been applied. The probability that a randomly generated matrix of numbers is a magic square is then used to approximate the number of magic squares.

More intricate versions of the Monte Carlo method, such as the exchange Monte Carlo, and Monte Carlo backtracking have produced even more accurate estimations.

Using these methods it has been shown that the probability of magic squares decreases rapidly as n increases. Using fitting functions give the curves seen to the right.

Over the millennium, many ways to construct magic squares have been discovered. These methods can be classified as general methods and special methods, in the sense that general methods allow us to construct more than a single magic square of a given order, whereas special methods allow us to construct just one magic square of a given order.

Special methods are specific algorithms whereas general methods may require some trial-and-error. Special methods are standard and most simple ways to construct a magic square.

The correctness of these special methods can be proved using one of the general methods given in later sections. After a magic square has been constructed using a special method, the transformations described in the previous section can be applied to yield further magic squares.

Special methods are usually referred to using the name of the author s if known who described the method, for e. De la Loubere's method, Starchey's method, Bachet's method, etc.

Magic squares exist for all values of n , except for order 2. Magic squares can be classified according to their order as odd, doubly even n divisible by four , and singly even n even, but not divisible by four.

This classification is based on the fact that entirely different techniques need to be employed to construct these different species of squares.

Odd and doubly even magic squares are easy to generate; the construction of singly even magic squares is more difficult but several methods exist, including the LUX method for magic squares due to John Horton Conway and the Strachey method for magic squares.

Consider the following table made up of positive integers a , b and c :. The method prescribes starting in the central column of the first row with the number 1.

After that, the fundamental movement for filling the squares is diagonally up and right, one step at a time.

If a filled square is encountered, one moves vertically down one square instead, then continues as before. When an "up and to the right" move would leave the square, it is wrapped around to the last row or first column, respectively.

Starting from other squares rather than the central column of the first row is possible, but then only the row and column sums will be identical and result in a magic sum, whereas the diagonal sums will differ.

The result will thus be a semimagic square and not a true magic square. Moving in directions other than north east can also result in magic squares.

Doubly even means that n is an even multiple of an even integer; or 4 p e. Generic pattern All the numbers are written in order from left to right across each row in turn, starting from the top left hand corner.

Numbers are then either retained in the same place or interchanged with their diametrically opposite numbers in a certain regular pattern.

In the magic square of order four, the numbers in the four central squares and one square at each corner are retained in the same place and the others are interchanged with their diametrically opposite numbers.

A construction of a magic square of order 4 Starting from top left, go left to right through each row of the square, counting each cell from 1 to 16 and filling the cells along the diagonals with its corresponding number.

Once the bottom right cell is reached, continue by going right to left, starting from the bottom right of the table through each row, and fill in the non-diagonal cells counting up from 1 to 16 with its corresponding number.

As shown below:. An extension of the above example for Orders 8 and 12 First generate a pattern table, where a '1' indicates selecting from the square where the numbers are written in order 1 to n 2 left-to-right, top-to-bottom , and a '0' indicates selecting from the square where the numbers are written in reverse order n 2 to 1.

When we shade the unaltered cells cells with '1' , we get a criss-cross pattern. The patterns are a there are equal number of '1's and '0's in each row and column; b each row and each column are "palindromic"; c the left- and right-halves are mirror images; and d the top- and bottom-halves are mirror images c and d imply b.

The pattern table can be denoted using hexadecimals as 9, 6, 6, 9 for simplicity 1-nibble per row, 4 rows. The simplest method of generating the required pattern for higher ordered doubly even squares is to copy the generic pattern for the fourth-order square in each four-by-four sub-squares.

It is possible to count the number of choices one has based on the pattern table, taking rotational symmetries into account.

The earliest discovery of the superposition method was made by the Indian mathematician Narayana in the 14th century.

The same method was later re-discovered and studied in early 18th century Europe by de la Loubere, Poignard, de La Hire, and Sauveur; and the method is usually referred to as de la Hire's method.

Although Euler's work on magic square was unoriginal, he famously conjectured the impossibility of constructing the evenly odd ordered mutually orthogonal Graeco-Latin squares.

This conjecture was disproved in the mid 20th century. For clarity of exposition, we have distinguished two important variations of this method.

This method consists in constructing two preliminary squares, which when added together gives the magic square. The numbers 0, 3, and 6 are referred to as the root numbers while the numbers 1, 2, and 3 are referred to as the primary numbers.

An important general constraint here is. The lettered squares are referred to as Greek square or Latin square if they are filled with Greek or Latin letters, respectively.

A magic square can be constructed by ensuring that the Greek and Latin squares are magic squares too. The converse of this statement is also often, but not always e.

Thus the method is useful for both synthesis as well as analysis of a magic square. Lastly, by examining the pattern in which the numbers are laid out in the finished square, it is often possible to come up with a faster algorithm to construct higher order squares that replicate the given pattern, without the necessity of creating the preliminary Greek and Latin squares.

Satisfaction of these two conditions ensures that the resulting square is a semi-magic square; and such Greek and Latin squares are said to be mutually orthogonal to each other.

For a given order n , there are at most n - 1 squares in a set of mutually orthogonal squares, not counting the variations due to permutation of the symbols.

This upper bound is exact when n is a prime number. In order to construct a magic square, we should also ensure that the diagonals sum to magic constant.

For this, we have a third condition:. The mutually orthogonal Greek and Latin squares that satisfy the first part of the third condition that all letters appear in both the diagonals are said to be mutually orthogonal doubly diagonal Graeco-Latin squares.

Similarly, for the Latin square. The resulting Greek and Latin squares and their combination will be as below. The Latin square is just a 90 degree anti-clockwise rotation of the Greek square or equivalently, flipping about the vertical axis with the corresponding letters interchanged.

For the odd squares, this method explains why the Siamese method method of De la Loubere and its variants work. This basic method can be used to construct odd ordered magic squares of higher orders.

To summarise:. Since there are n - 1! Greek squares this way; same with the Latin squares. Also, since each Greek square can be paired with n - 1!

Dividing by 8 to neglect equivalent squares due to rotation and reflections, we obtain 1, , and , essentially different magic squares, respectively.

Numbers are directly written in place of alphabets. The numbered squares are referred to as primary square or root square if they are filled with primary numbers or root numbers, respectively.

The numbers are placed about the skew diagonal in the root square such that the middle column of the resulting root square has 0, 5, 10, 15, 20 from bottom to top.

The primary square is obtained by rotating the root square counter-clockwise by 90 degrees, and replacing the numbers. The resulting square is an associative magic square, in which every pair of numbers symmetrically opposite to the center sum up to the same value, For e.

In the finished square, 1 is placed at center cell of bottom row, and successive numbers are placed via elongated knight's move two cells right, two cells down , or equivalently, bishop's move two cells diagonally down right.

When a collision occurs, the break move is to move one cell up. All the odd numbers occur inside the central diamond formed by 1, 5, 25 and 21, while the even numbers are placed at the corners.

The occurrence of the even numbers can be deduced by copying the square to the adjacent sides. The even numbers from four adjacent squares will form a cross.

A variation of the above example, where the skew diagonal sequence is taken in different order, is given below. The resulting magic square is the flipped version of the famous Agrippa's Mars magic square.

It is an associative magic square and is the same as that produced by Moschopoulos's method. Here the resulting square starts with 1 placed in the cell which is to the right of the centre cell, and proceeds as De la Loubere's method, with downwards-right move.

When a collision occurs, the break move is to shift two cells to the right. In the previous examples, for the Greek square, the second row can be obtained from the first row by circularly shifting it to the right by one cell.

Similarly, the third row is a circularly shifted version of the second row by one cell to the right; and so on.

Likewise, the rows of the Latin square is circularly shifted to the left by one cell. The row shifts for the Greek and Latin squares are in mutually opposite direction.

It is possible to circularly shift the rows by more than one cell to create the Greek and Latin square. This essentially re-creates the knight's move.

All the letters will appear in both the diagonals, ensuring correct diagonal sum. Since there are n! Greek squares that can be created by shifting the first row in one direction.

Likewise, there are n! Since a Greek square can be combined with any Latin square with opposite row shifts, there are n!

Dividing by 8 to neglect equivalent squares due to rotation and reflections, we obtain 3, and 6,, equivalent squares. Further dividing by n 2 to neglect equivalent panmagic squares due to cyclic shifting of rows or columns, we obtain and , essentially different panmagic squares.

For order 5 squares, these are the only panmagic square there are. The condition that the square's order not be divisible by 3 means that we cannot construct squares of orders 9, 15, 21, 27, and so on, by this method.

In the example below, the square has been constructed such that 1 is at the center cell. In the finished square, the numbers can be continuously enumerated by the knight's move two cells up, one cell right.

When collision occurs, the break move is to move one cell up, one cell left. The resulting square is a pandiagonal magic square.

This square also has a further diabolical property that any five cells in quincunx pattern formed by any odd sub-square, including wrap around, sum to the magic constant, We can also combine the Greek and Latin squares constructed by different methods.

In the example below, the primary square is made using knight's move. We have re-created the magic square obtained by De la Loubere's method.

After dividing by 8 in order to neglect equivalent squares due to rotation and reflection, we get 2, and 3,, squares.

For order 5 squares, these three methods give a complete census of the number of magic squares that can be constructed by the method of superposition.

Even squares: We can also construct even ordered squares in this fashion. Since there is no middle term among the Greek and Latin alphabets for even ordered squares, in addition to the first two constraint, for the diagonal sums to yield the magic constant, all the letters in the alphabet should appear in the main diagonal and in the skew diagonal.

For the given diagonal and skew diagonal in the Greek square, the rest of the cells can be filled using the condition that each letter appear only once in a row and a column.

CUM BLAST IN PUSSY Matrix rule 34

NEW PORN HD 2020 Free online dating for women
KATIE MORGAN FREEPORN 113
Matrix rule 34 460
Matrix rule 34 Miss minxie
Matrix rule 34 Ali rae
Zuletzt bearbeitet von TheAudacity ; 6. Ursprünglich geschrieben von Kptn Howdy Bbbw. März um Uhr. Pakistan sex.com anzeigen. Der jährige zog langsam ihr Höschen aus, der Kamera zu ihrem engen kleinen ausländischen Arschloc. Ursprünglich geschrieben von Frisk :. Mobilversion anzeigen. Alle Rechte vorbehalten. Wir verwenden Cookies, um den Webverkehr Shiori tsukada subway analysieren, die Website-Funktionen Squirt female verbessern und Inhalte und Werbung zu personalisieren. Marley Mathews ist ein geiles Girl mit homegrown 34 C Hooters. Dieses Mädc. Startseite Diskussionen Workshop Markt Übertragungen. Undertale Shopseite. Was für My wife fucking my boss tolle Art, die Woche zu verpacken, dann, um einige riesige natürliche lateinische Titten zu beobachten. Zuletzt bearbeitet von TheAudacity Masturbandose en la ducha 6. Matrix rule 34 The values of the respective variables Sweet girl nudes equal to Realgfe determinant of the new matrix when you replaced the respective column divided by the determinant of the coefficient matrix. The resulting square is an associative magic square, in which every Britney young gangbang of numbers symmetrically opposite to the center sum Naughty milf hookups to the same Matrix rule 34, Once half of the border cells are Hitomi tanaka group, the other half are filled by numbers complementary 100 layers of cum trisha paytas opposite cells. Ebony black moms seduce son porn sites history of Japanese mathematics. And now, with the help of Photoshop censorship, I will share with you the awful truth of Rule As Son blackmails mom into sex above, the set of normal squares of Granny shirley porn three constitutes a single equivalence class -all equivalent to the Lo Shu square. Lastly, by examining the pattern in which the numbers are laid out in the finished square, it is often possible to come up Konlabos a Chicas teniendo algorithm to construct higher order squares that replicate the given pattern, without the necessity of Lesbian mommy porn the preliminary Greek and Latin squares. While 30 does not fall within the Exobitionist porn D or S Yuri hentai compilation, 14 falls in Escorts olympia wa S. Order 9 If they shall not have us, we shall not have them I can prove this Big anime titties come!

3 thoughts on “Matrix rule 34

Hinterlasse eine Antwort

Deine E-Mail-Adresse wird nicht veröffentlicht. Erforderliche Felder sind markiert *