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January Kalends I-magina Fraga

long time because I knew La Fraga. not having had the honor of being there before, physically, but because he was caught and fond of the place through the virtual world. Some stories, comments on various blogs and forums, or the stories of the characters in The of redwing Fraga had been responsible for shaping this imaginary place, in this intimate and idealized enchanted forest.

long time since I heard a hissing sound two tones within me. The first tone sharp and sustained over time, and just then but still part of the whistle, a second tone, the more severe and of similar duration. Whistle the first call came into my unconscious, but did not pay too much attention, sparked in my mind the need to go one day to where the sound came from: La Fraga. A second call heard, attended the meeting a part of my being, my soul, but I was not physically there. And the third whistle was heard and finally there in body, soul and spirit, at the end of that wild driveway flanked by pine trees and some grape arbor. Standing there, facing the Mojonera , his heart beating a mixture of excitement of being there and watching visiting The Fraga, plus uncontrolled nervousness to approach a special moment in my life, I expected that marked him day with a before and after.

I, therefore, the chance of visiting the land accompanied by two things especially dear to me. Lands that are home to deep-rooted - not only of olive groves - that you join this sacred space, like it or not, for life.

I, therefore, the chance of playing these olive branches "double" for the weight of the olives. These century-old olive trees double or triple stem planted in perfect formation equidistant grid covering all the fertile land of the lower skirt Aznaitín. Long-lived clumps of olive trees, twisted trunks with age, with brooms and ramones seeking to survive in the natural cycle of nature and are glad to escape the pruning or burning. Olives alive, full of energy, which will provide certainly a good harvest this year. Although that depends on the yield, the amount of olives brought to the cooperative how much is the sky or ground, the rain that falls in these last days before harvest, or whether the crew of pickers shows his honesty and professionalism in the job.

I, therefore, the chance to see the remains of the old farmhouse standing of the Mojonera , stay humble, which made the back yard poultry, small dining room fireplace, bottles empty wine that filled the spirit Put it Perico, wooden hanger to hang the boot, the sum in pencil that is still preserved in the whitewashed wall ... and inhale. Deep breath and, despite the nervousness, I thought capture the essence that still rang in that place.

I, therefore, the chance to guess the secret systems of water supply land. The Aznaitín happened to be the provider of an underground channel. With a couple of wells, pumps and symphonic steps under the road caz it fed a stream channel that dreamed to be uncontrolled and running through the farm to bring good to the drier areas. I was told that long ago when there was still the drip irrigation system, from caz step was opening the water by a canal with a hoe. Arriving olive in olive tree to a tree pit where around each trunk to water them with water, sweat and love.

And I, therefore, the opportunity and the honor of being in the Coastal Cerrillo. An elevation where the olive yields to pine, the oak and the broom that grow wildly. A sacred space, shelter, reflection, interference, of ancestral ties and also a unique, sensitive and tender beauty. A place where you can see the slopes of Aznaitín, a land virtually untouched to give their grass the flocks of goats and sheep. Land that, on some future occasion, I will try them walk about without haste to capture the soul of that land, that feeling that, even, do not know any words.

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And there, in the Cerrillo sack under the force emanating from the sacred place, next to the rock jutting out inviting the seat, or altar so I had the opportunity to express and formalize, with clear eyes, my inner thoughts and feelings.

Al from The Fraga, I got me a pebble - a small piece of that sacred place, "ergot olives picked by the three branches together milking, a very pleasant memory of being there felt the greatness place and, above all, I took hearts full of happiness.

long time because I knew La Fraga. But in the splendid, sunny day in late autumn, never in life forget, I had the honor of being there physically, in body, soul and spirit.

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The pyramid of cubes

(A math problem to distract thinking)

Statement: We

built a pyramid of wooden blocks, each of them has a volume of 1 dm ³. On the upper floor there is a cube, located in the center of the second floor, consisting of four cubes. These four blocks are located in the center of another apartment, consisting of nine cubes.

We paint the visible part of the pyramid, ie, not paint or faces that are under or parts of faces that are covered by another floor.

a) What is the area we'll have to paint?

b) And if we add a new floor, consisting of 16 cubes, What would be the surface we would have to paint?

c) Would you know if generalize to any number would No Flats?

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Solution:

a) En primer lugar, a partir del volumen de los cubos, obtenemos el valor de la arista ( a ):

En relación al cubo del primer piso ( n =1), la superficie lateral ( S l ) would be to paint all 4 sides and top:

In relation to the 4 cubes of the second floor ( n = 2), the lateral surface (S l) to paint would be the 8 sides more than the free surface, which is that of the four cubes, less the area of \u200b\u200ba cube , which is the surface that is covered by the floor n = 1. So we have:

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Regarding the 9 cubes on the third floor ( n = 3), the lateral surface (S l) would be to paint the 12 faces side more than the free surface, which is that of the nine cubes, less the area of \u200b\u200bthe four buckets, which is the surface that is covered by the floor n = 2. So we have:

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understand, from the problem statement, the BOP will not be painted. So do not add here the surface of the base (9 to ² )

Then, the total area to paint is:

Substituting the value of the edge ( to = 1DM), we finally obtain that:

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b) to the solution of the previous section we add the surface of the fourth floor. Then, the lateral surface (S l) to paint, compared to the fourth floor ( n = 4), would be to the 16 sides plus free surface superior, which is that of the sixteen cubes, less the area of \u200b\u200bnine cubes, which is the surface that is covered by the floor n = 3. So we have:

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Thus, we obtain the total surface to be painted in the case of a pyramid of blocks of four floors:

Substituting the value of the edge ( to = 1DM), we obtain:

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c) To generalize to the case of n floors, we will analyze the evolution of the series obtained in the two preceding paragraphs.

For each floor, we obtained the surface of the sides, you sumábamos the upper surface and Reset will contact the surface of the floor above. And construct the following table with the coefficient of the surface side face of a cube ( to ²)

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The surface of the floor above we have to subtract is always the same as calculated upper surface on the floor above, so we only have the surface n ², as top surface on the top floor (equivalent to what would be the pyramid from the top, right from the vertical) Thus, we see the surface of the sides is provided for each floor, 4 times the number of floors: 4 n .

That is, the side surface to paint should be:

Fixing the expression obtained, it appears that the surface will have to paint in a general case of a pyramid of n story cube of edge formed by to is :

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Finally, we will then analyze the evolution of this surface to be painted in the particular case of to = 1.

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's it:

"With this and a biscuit! Until tomorrow morning at eight!"

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The pillars of my world

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has often come to mind that old song, with great success, said that in life there are three basic things to be happy: health, money and love. However, there are also more mundane and superficial people who buy a truck or tractor yellow, and thus have their happiness ... wildlife.

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My scheme of happiness and emotional balance seems to me years back-to-a little complex. Although I hope it does not further complicate, hopes and realities doubt follow suit.

In my perception, I am of the opinion that a person's emotional balance is based on a set of pillars. Some pillars are solid and others are weak, some are more stable and others vary in thickness by time cycles. Enfin, the emotional balance of all quisqui varies constantly. The important thing is that this oscillation not to increase too, from wobbling around and the "castle" you are mounted comes down. To do so, within you, where your innermost feelings reside, provides a constant struggle to stay upright on those pillars that support you think.

pillars What are we talking about? For in the health, economy, roots, children, love, friends, work, hobbies, ... can be more pillars, although at this moment I can not realize anyone else. And often happens that you realize that there was a pillar precisely when it breaks.

Where, by circumstances of life, there is a pillar of their weakening, we unconsciously rely more strongly on the other that we see stronger and safe to maintain that emotional stability. Not always the damaged pillar is repaired. Sometimes out of laziness, others profound grief, others fear tackled the problem and get to work on the foundations of the pillar, just believing one - naively - that "time" will heal, that "time" that pillar grow and be strong again as it was in the past.

A fact that occurred recently in the work has been done, the pillar where I took refuge in the past two years, strongly stagger. I happened to meet alone with the responsibilities and decision making. Has been for me a jolt that made me review all pillars supporting my life emotionally, and then I thought I knew of her weak and fragile state.

And as if Autumn own syndrome, or something contagious, fears have soured me the courage and the heart. Fear of loneliness, fear that something or someone to hurt my loved ones, fear of losing, afraid of everything.

Restoring confidence and security, dispel fears and strengthen the damaged pillars, feed your soul with love and grow in self-esteem, learn to choose well way to go and change your perspective with which to focus on principles and happiness in your life ... things are not easy or quick. Need to think in solitude, reflect on what happens to you really communicate with others and especially with your loved ones, and put into crisis sincerarte values \u200b\u200byou had to settle in your brain forever ...

But I'm very lucky because I have helped all my loved ones and, therefore, thank you for your hugs, kisses and comforting words.

I love you.

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The question

Until a couple of centuries, artists had to make themselves based paint pigment and binder. Well, maybe some elite painter had a pupil who crushed stone ... although that would be another story, different paint.

The pigment is obtained, usually, minerals, plant materials and nature itself. Say, for ocher pigment, clay was good raw material to make black pigment, calcined bones or teeth and then carve it to make a fine powder pigment-be-a practice which goes back to primitive man.

This pigment, dissolved in a binder component (oil, wax, resin, yolk egg, lime, ...) allowed, the "dry" it is hard to stay the color on the basis of pictorial representation, providing strength and durability to the paint.

In the world of painters, had pigments readily available and, therefore, economic and widely used. No clutch, is a thorn, a technical glitches, with a little added economic issue, which had the painters in constant search for a solution until, with the advent of industrial chemistry and manufacture of synthetic pigments, it was finding a solution "Artificial" to the issue. I mean the blue.

Blue is a common color in nature. Blue in the sky, blue sea ... But it does blue pigment can be removed! So the painters sought, for centuries, how to get the color desired for incorporation into their art.

seems that the first to discover how it was the Egyptians, with the "blue Fritta" which was a glaze (silicate copper and calcium) used to bake pottery became blue, then crushed and the powder was used in the paint. Although this technique was also used in ancient Greece and Rome, was disappearing over the years, have that over there the seventh century, and also, I believe, with some blue appearance of more "precious."

And among those who took the witness blue fashion, its blue tones of high beauty, was the pigment from the mineral lapis lazuli. The mines were in the area of \u200b\u200bmodern Afghanistan and also as a semiprecious stone, was expensive to obtain. So, in the same way that the color purple was for many centuries a high-cost color and dye was reserved for the layers of Roman emperors, the blue pigment lapis lazuli also took their fame, their prestige. Its price rose above the gold and painters, if they put blue lapis in a custom box, was prior agreement on how much blue and gold as was to be put.

With this cache had taken the color blue, kings wore blue coats and even had he thought his blood was blue ... although that would be another story that it is better not tell it now. Blue began to get in the middle ages the synonym of distinction or royalty, and the people, the populace did not have easy access to that color.

Azurite, although a little more green, often used also in the Middle Ages as a substitute for lapis since the discovery of mines in central Europe, but with little success because this color is less stable and, over time, tends to blacken. Painters learned methods to differentiate the azurite pigment of lapis lazuli, as in the form of pigment and could be easily confused some traders sought to "bait."

And in the midst of this scarce and expensive access to blue, appears in the exponents of Catalan Romanesque painting a mural painted with striking blue color. Especially emphasizes the Pantocrator from Sant Climent de Taüll and the Virgin of Santa Maria de Taüll, a fresco paintings that occupy the central apse of the temples and, with its imposing majestic shade of blue, royal infers the representation of these divine images. Until

Recently, the idea of \u200b\u200bthe high cost of blue pigment in the average age was hard to think the real reason that promoted Master Taüll to use color in a predominantly blue in these images. In addition, teachers who painted the fresco known that the use of lapis blue, apart from expensive, may fade and degrade quickly with time to interact with a mineral acid, thus avoiding the use of lapis lazuli in the art of painting.

The discovery of ancient deposits Aerinite in the Pyrenean environment has helped solve the puzzle and determine that, although the shades of blue vary depending on the grain extraction Master of Taüll Aerinite used blue, exceptionally, was in the immediate environment.

was not until the discovery of America observed that indigenous synthesized indigo blue, also called indigo from a plant. Colonial exploitation was great marketing this dye, pigment made, provided the blue common to the European population, satisfying the inaccessibility of other blue pigments, until near the nineteenth century.

And from here, with the appearance of the chemical industry begin to synthesize pigments. In particular the synthetic ultramarine was the same as that of lapis lazuli, and later appear in shades of cobalt blue from light to dark (cobalt oxide impurities of aluminum, zinc or chromium), blue and blue celúreo Prussian blue pigments include artificially synthesized.

Blue has been, since Earth has an atmosphere, a color that has bathed the sky and sea with the natural daily. However, for many centuries, has been technically difficult-and expensive-play in the creations pictorial.

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blue giant bear watcher

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My father is a giant of the family of "oranges." At birth, for more than 36 years, I was systematically removed from home with the highest speed that can exist in this world of fiction. Thus, the universe was my home. I passed through empty, entire galaxies, trying not to stray from my rope righteousness. Until, before me, appeared on the Blue Globe, in a few minutes ended my long journey undertaken.

I entered the tiny blue balloons, I went directly to a person I was looking at hiding in the darkness of night and entered in his eyes. To the bottom of your pupil. The impact was so strong that perished. But not in vain: I could convey in that moment of agony, my energy, my knowledge, my background and my history.

Maybe that was the mission and the reason for my life. A fleeting life "knife edge" between the corpuscle and energy. A photon whose mission was to carry a coded message from his father, Arturo, a remote border of this infinite universe.

Thus, the beings who inhabit this globe Blue, will know that Arthur is still there, active. Can infer its mass, radius, luminosity, temperature, speed ... And to his age!

Now I know that these people have qualified for my father among the brightest stars in the night sky. And that, many years ago, their ancestors joined several stars with Arturo imagination to form a constellation, which they named "The Herdsman" and developed mythological stories about his place in heaven.

From here on Blue Balloon, these people locate the star Arcturus in the sky extending imagination a couple of times the "arm" of a constellation easily recognized and he was given the name "Bear."

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And there, high up, my father watches Ursa Major honoring the meaning of his name. Well here at Globo Azul, among the many names given to the star come from, is also the name of Arthur. Which means "bear watcher".

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Myth, existence and consciousness

During the life of a person, there is usually a gradual transition towards taking consciousness of its existence. Could be considered a step in the state of consciousness to rational consciousness zoo. With the acquisition of knowledge, is "driven out of paradise" where it was and can no longer return to it.

The rational consciousness of man, though perhaps already has become inherent to the collective human being, often encouraged by parents to be acquired by their children. This leads to see the world and predetermined reality that taking consciousness to be performed accompanied by a specific values.

By analogy to the origin of humanity, I also imagine that primitive man was gradually becoming aware of their existence. To the extent that these primitive tribes took consciousness of this world "real", were expelled forever from the world of ignorance, happiness zoological paradise.

But primitive man needed then maintain that level of knowledge acquired. As knowledge and, inherently, consciousness, are promoted to be treated well by the other members of the tribe and its descendants. The memory of his history is identified as being aware of its existence and in turn, confirms the ownership group.

And at that point where there was certainly the phenomenon of myth, a story about some ancestors with superhuman or divine character made some incredible feats, which created the earth, animals and plants ... but ultimately, a story that, despite the intended changes were possibly over generations, were endowed glue that i root identity to the people.

As the myths explaining the origin of the world - creation myths, offering stability to civilization as they had a sense of real force to be placed in a time of origin of the world, showed other kinds of myths that told us why the mortality of man, why the good harvests, storms, etc. And these myths are added ingredients of moral values \u200b\u200bthat underpin that civilization to generate the first rules that helped the tribe to have a coexistence and a common ideal. The myths, to the extent that registered in the minds ways of acting in society, also became an archetypal form of existing laws.

Once stimulated knowledge, human beings need to know more. Curiosity, the need to satisfy your questions increases exponentially. The mythological stories that had appeared as responses to the great questions of humanity begin to derive also the origin of religion. A tool that, carried and maintained by the leaders of the tribe, keeps the populace under his command, protected by divine power. It is a guiding element of human social life, a tool that gives the (self appointed) kings a principle of authority.

For many tribes know the myths was to learn the secret of the origin of things. In fact, some tribes still maintain the idea that for acting remedy, it must know its origin. So, to heal a plant, an animal or a man, the healer must know the aetiological myth to play and try to reach their "prime time" and thus recreate creation.

know the origin of myths should enable us to learn the secret of its inception, its reality and its role. Maybe it's roots that should not be overlooked to maintain social stability in our civilization.

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Almendres: Iglesia de San Millán Abad

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almost going out of the Merindad Cuesta-Urria, recedes into a corner, at the end of narrow winding road and covered by the foot of the mountains of the Tesla resists standing shakily fragile, the church of San Millán de Almendres.

rudimentary masonry walls are supported on the masonry of the corners of the portal and the pseudo-belfry tower supports. A "look at me and do not touch me" that holds the walls weakened by the passage of time while claiming in passive silence the arrival of aid for repair. For if the voice was falling down the tower, perhaps by instinct, or perhaps observe some of the rules issued in 1861 by the Archbishop of Burgos and contained print still inside the church, I whispered conversations we had during the visit.

The portal of the Church of San Millán Abad is spectacular. Possibly the same workshop as the portal of Bercedo: vices monstrous serpents, griffins rampant, harpies, animal hybrids ... a little of everything. And chaining, as well as in the foot that Bercedo archivolt and San Pedro and San Pablo focusing the scene in the arch of the doorway. A marvel of Romanesque Burgos.

De San Millan de Almendres also include bas-reliefs which are among the corbels that form the cornice of the portal. Among them, a representation of Adam and Eve already aware of good and evil.

The church has some good corbels that support the current size of the nave roof. By the type and thickness of the wall, you'd think the roof was built first in wood and in a later remodeling, was made in tile work and no gable walls thicken. Now, years and the work force of nature reclaiming land from the maintenance of the temple.

Does restoration? It seems that, so the locals told, is a question of style "for each other, without sweeping the house." As the clergy claims that there are few parishioners to make it profitable repair and other agencies focus their aid to other populations merindades. Although it is absurd to put a fence in the middle of the mountain, "not to lose the subsidy."

Incredibly, there are a couple of numbers painted in the middle of the entrance arch, as if the postman he needed the details to deliver the letters.

In short, a temple worthy of being denounced and Pillory Pillory . But the short length of stay in the Merindades left for another occasion the site visit with Alkaest and company.

For now, before someone plays the bell and the temple collapses ... I am speaking with the permission of Alkaest:

To whom it may concern, and while seeking ways to restore this jewel of Romanesque Burgos, go to pillory and stocks the full moon, wearing a cucullus where exposed to be attacked by any monster in the bestiary of the portal. During the day, the temple stay chained together while working on your meals based on cutting stone, masonry reinforced with mortar and lighten the weight of the roof.

Health, Romanesque and fraternity.

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Simulated annealing

The other day I left the issue of proc Edimientos algorithms for solving combinatorial optimization problems pending pick up the thread. I'll take the yarn, to see if the unwinding ...

turns out that there is a type of problems where it is supposed to have one (or several) optimal solutions, but there are a large number of possible options solution to analyze each and choose the best.

Imagine a city where we distribute in the streets the minimum subway station that services to all inhabitants, but optimizing the parameter of "appreciation of closeness of the service" by the citizens so that the overall level of satisfaction offered is the highest possible.

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A meta-heuristic algorithmic procedure could be applied to obtain the best theoretical solution to this combinatorial optimization problem is called "simulated annealing, or tempering simulation.

consists, first, to obtain an expression of "cost function" of each possible solution. The cost function for the present case, it would uramente sec the "global assessment score of the closeness of service", which would take into account "ingredients" and variables for each city, as the distance from home to the nearest metro station, possibly the slope parameters would weigh as / slope of the streets, according to the age of each ... and we would add a factor of care for people with reduced mobility. It also would add criteria for "what level of service" is perceived (or expected) to be satisfactory for every citizen on the basis of whether he lives in a residential area with a high density vertical, or if otherwise lives in a suburb of detached houses. Adding the satisfaction level of appreciation of each citizen, to every distribution solution of a number of p located underground plowed by the town would get the value of "cost function" for this little problem.

From here, leave aside cap "municipal technical" and take the cap of "mathematical analyst" to begin taking smoke into the cost function using the algorithm of yore of simulated annealing. This technique comes from the analogy drawn between the problems of statistical mechanics to find the baseline of a system of several bodies-a liquid, for example-and to find a minimum (or maximum) of a global cost function in an optimization problem com binatoria.

If the temperature of the molecular interaction in a liquid to freeze at once, the result could be a complete mess lens with a higher energy than the crystalline state the correct base. In fact, the molecules found in a local minimum of energy.

However, if the temperature of the liquid is reduced body slowly (annealing) tends towards equilibrium and the liquid freezes through a cooling process that leads to a crystalline state of global energy minimum.

In the analogy made to the combinatorial optimization problem, the variable parameters (where we put the metro stations and how to put the overall cost is minimal) are equated with the atomic positions of the fluid and energy id Intifada is the cost function to optimize (the "global assessment score of the closeness of Service"). The temperature parameter is defined as an algorithmic process control and is related to the probability of changing to a state of lower cost has to be accepted in order to avoid falling into a local minimum.

The simulation algorithm mettle accept a change of solution (or state) when the result of the cost function associated with the new solution is higher. Logical. But if the result of the cost function in the new solution is smaller, the change is accepted with some probability that depends on the temperature that controls the system and decrease the value of the cost function, using a negative exponential function .

The process of algorithm an initial solution c nyone and an initial temperature "environment." Gets the cost function and explores, in a suitable number of iterations, the state space environment. The environment is analyzed by making a basic disturbance in the current solution and applying the criterion of acceptance of the new proposed solution according to the probability defined.

Initially, when the temperature is relatively high nte , accepted changes in solution despite the declines in the cost function are important. Then, as the temperature decreases, deteriorations are accepted increasingly smaller. This feature of the algorithm is what allows you to be able to escape the local minimum and ensure a good convergence of the method in a large class of problems and state space. One of the keys to the success of this meta-heuristic method.

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The temperature decreases slightly, and the algorithmic system is cooled to a stop when it meets one of the criteria for final calculation (a few changes accepted, no result has increased the cost function in the last temperature, etc..) So, is chosen as the best result this solution, all the states where he has spent the algorithm, the greatest cost function or global assessment score of the closeness of service "has given us.

algorithm simulating the temple, but has not gone through all the nearly infinite state space solutions, has a high degree success and adaptability to many combinatorial optimization problems. The method ensures a good convergence towards the global optimal solution in a number of iterations assumable be calculated by a computer program in an acceptable computing time and in accordance with the magnitude of the problem at hand.