Thursday, March 24, 2011

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^ (Part 1)

Definition discussed the operation of empowerment

The intention of this short series of posts is to expose the operation definition of empowerment as it is universally accepted by the mathematical community, adding some comments that are usually omitted in texts . I clarify that the limitations of Blogger forced me to indicate the operation under the symbol "^", although we all know that usually indicated by setting the exponent in size small and slightly elevated above the writing line.

The first point to consider is that empowerment is an operation is defined by subsequent cases, according to the numerical set which is the exponent. Will initiate a very basic case:

Case 1: a ^ 2 = aa (The number to can be any real number.)

[René Descartes was the first, or at least one of the first, in using this notation.]

Question: Why is aa ^ 2? Could it be a ^ 2 = a + a?

Answer: That a ^ 2 equals aa is only a convention notation which obviously was chosen because it was useful (we can surmise that the product of a number by itself appeared many times in the calculations and that justified the use of a specific notation for the operation. The answer to the second question is clearly yes. The mathematical notations often depend on arbitrary choices that could have been very different.

Question: Is it an abuse of notation using the same symbol ^ (in fact, the exponent notation) for ( -2) ^ 2 or 3 ^ 2.

Answer: Obviously, no. In both cases we speak multiplying a number by itself so why would it be an abuse of notation? If you would have raised that question to Descartes, probably would have thrown a draft by the head, like a couple of centuries later another Frenchman would, Galois, with an examiner who questioned him in that style (of course, that draft was not Wood like ours, but it was a sponge).

Case 1 (extended): a ^ n = aa ... a (Where to repeats n times.)

The number can to be any number real. The value of n can only be a strictly positive integer, ie 1, 2, 3, 4, ... because these values \u200b\u200bcan only speak of "number of times." Could occur to give an inductive definition of this case, but it's just more elegant formalization of the same idea.

Properties:
Important: So far we have defined the calculation of powers with integer exponent strictly positive and, therefore, the properties refer only to that case. In Section 3 the value of a must be nonzero in the other can be any real number.

1. (a ^ n). (A ^ m) = a ^ (n + m)
2. (a ^ n) ^ m = a ^ (nm)
3. a ^ n / a ^ m = a ^ (n - m) . This property is worth (for now) only if n is strictly greater than m , because otherwise the member would have a power law have not yet defined. Obviously to be nonzero.

Question: What happens with a ^ 0?

Answer: We have not yet defined, will appear in the following case.

continued ...

Wednesday, March 23, 2011

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Fallen Angels - Claire Delacroix

The eyes of the Republic are everywhere.




When the mysterious death of her ex-husband is declared an accident, Lilia Desjardins knows it's a lie, and leave everything known to venture into the dark heart of the Republic and find that it It has become the target of unknown forces.

Adam Montgomery will do anything to complete his mission on earth, even if you tangle with the enigmatic Lilia Desjardins. But when his contact is murdered and must rely on Lilia's silence to save him from the lair of slaves, Adam knows that his wings have not only been the first sacrifice that you have requested. While

surrounding danger and intrigue, Lilia and Adam realize that they must work together, in body, mind and soul, to save the world. DOWNLOAD







The victim believes she is an evil kidnapper, the visionary Dalilah Desjardins quickly realizes that his abductor is on a mission to save it from the murderers. Rafe, a fallen angel, must ensure that Dalilah, blessed with the gift of foresight, it reaches its true vocation as an oracle of the Republic - and its results of divine invocation plus an earthly relationship between the two, well, he does not mind at all.


Approaching Rafe, but fear the loss of their gifts with the duty to surrender to its charms, Delilah knows he has to stop. But escape from custody puts murderers back into his path. While running to save Rafe Dalilah, known not only to save it for the good of the Republic - is to save her by.



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The Replacement - Brenda Yovanoff.


Mackie Doyle is not one of us. Although he lives in the small town of Gentry, he comes from a world of tunnels dark and turbid water, a world of living dead girls under the command of a princess tattooed. He is a replacement, left in the cradle of a human baby sixteen years ago. Now, due to fatal allergies to iron, blood, and sacred ground, Mackie is struggling to survive in the human world.

Mackie would give anything to live among us, to practice in low or spend time with the object of his infatuation, Tate. but when the little baby sister disappears Tate, Mackie irrevocably drawn to the underworld of Gentry, known as Mayhem. He must confront the dark creatures of the accumulation of slag and find its right place in your world, or ours.


Translation: PR Forum.

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A Matter of Magic - Patricia C. Wrede


When a stranger offers you a small fortune just to break the wagon in a traveling magician, Kim does not hesitate. Growing up as a waif in the dirty streets of London to Kim is just breaking and entering. A hard life and bad times have taught him a lesson: Steal them before you steal from you. But when the magician caught in the act, Kim thinks is its end. Until I suggested to his apprentice, then the real trouble begins.

Kim soon found among murderers, thieves, and the policy to the hilt while trying to learn how to be both a lady and a magician in his own right. DOWNLOAD



-Translation: PR Forum.


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Delirium - Lauren Oliver

Before scientists find a cure, people thought that love was a good thing. Did not understand that a love-delirium blooms in blood and can not escape their grasp.


Things are different now. Scientists are able to eradicate the love and the government requires that all citizens receive the care when they turn eighteen. Lena

Holway has always looked forward to the day when she is cured. A LIFE WITHOUT LOVE IS A LIFE WITHOUT PAIN: Safe, cautious, reliable and happy.

But ninety-five days before healing, Lena does the impossible: He falls in love. DOWNLOAD




Transcribed by 'Charlie's Angels' & 'DP'


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The cannibals - Brizzé Briseira

not know what happens, at fifteen food begins to know ash, water is all that's cool, and the tremendous rise by eating one of his classmates is killing. And when I define it is literally eating.


- "You can not control the desire for gluttony" "That's what he said Irwin, the new school boy leaning on his ear. Something

unites and separates them, makes them different, special "? Maybe ... but very dangerous. DOWNLOAD

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Walk with the spirits - Richie Tankersley Cusick


dreams When Miranda Barnes first with St. Yvette, Louisiana, with its moss-covered trees and over the cemetery, she understands that she knew life has officially ended. Almost immediately, she notices something sticky on it. Even at school and in the working group which has been cast, she can not escape. See shadows when nobody is there to do it, the disturbing HoloNet roses and a distant voice that awakens in a dream.

The other members of the group of Miranda, especially the handsome Etienne, can see that Miranda is in danger. She discovers that, like his grandfather, she has a knack for communicate with the spirits that are still in the city of St. Yvette. But his gift is more like a curse, and Miranda is not who to trust. Etienne is willing, but can you really trust him? Now, no matter where you turn Miranda, she feels trapped by the whispers of the spirits around you ... unless you find some way to get to go in peace.

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The breath of the gods - Brandon Sanderson

years ago, King Idris signed a treaty with the kingdom of Hallandren. Dedelin King send his eldest daughter, Vivenna to marry Susebron, the god-king of Hallandren. Vivenna has been trained all his life to be a suitable bride Susebron and thus fulfill their duty and help build a stable peace between Hallandren and Idris. That was the plan until the king sends his daughter Idris Siri, disobedient and independent, rather than Vivenna. Siri tries to find its place in the court of Susebron, but as she tries to discover the hidden truth about the god-king.

In Idris Vivenna sister is worried and fears that Syria is ready for this new life, so he decides to travel to Hallandren. There he meets with people of Idris who works in the capital, T'Telir, and start a new life of spying and sabotage. The plan is to rescue Vivenna Siri, although perhaps not need or want to be saved.

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Immortal Beloved - Cate Tiernan

New name, new people, new life. Nastasia has done too many times to keep count. And there is no end in sight. Nothing ever really ends ... when you are immortal. But this time is different: Nastasia knows that this new town must contain your salvation ... or death.


Nastasya born in darkness, and accepted it for life. But now, after four ever feeding on the lives of the innocent around her, to explore the depths and limits of the dark, Nastasia has come to feel deathly ill. If you continue down that path, it will evolve into something very dark, twisted, and evil ... with unimaginable power. Or you can start the long and painful road toward the light, and claim the destiny that others tried to rob him.

's in my blood, I know: The dark. I inherited, along with my immortality, my black eyes.

Very strange. You may never have known one, perhaps never sat next to one on an airplane, maybe never ate with them at the same restaurant at the same time. But the immortals are there. They have always been there. And always be there. Moving among humans, living his own destiny cursed. Sometimes subtly, sometimes with enormous consequences for humanity. But no one ever will know.

Nobody but you.

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Fairewalker - Jenna Black

Dana Hathaway does not know yet, but is in big trouble. When her mother, an alcoholic, appears in drunk choir concert, Dana decides he's had enough of playing role as guardian of his mother, so pack your bags and traveling to see his mysterious father in Avalon, the only place on earth where ordinary everyday world and the magical world of Fae intersects. Dana is a Faeriewalker, a rare individual who can travel between both worlds. She has always known that his father is really important between the fairies, but I did not realize is that it could be the key to his rise in power. When she arrives at Avalon, Dana is for herself as a pawn in the game of political magic. Avalon is a place where both work and magic technological, human and Faes, coexist in something resembling peace. How can she change the wings the destination, finding a boyfriend, and make new friends when you're not sure who, if any, can be trusted.
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Extra
Faeriewalker Saga.

And as advance the first two chapters of Shadowspell the second book in the series.

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Book 2 - Shadowspell



addition to spending most of his time in a safe house that resembles a bunker and dating supervised by a fearsome bodyguard Fae, the Faeriewalker Dana Hathaway has some bad news: the Erlking and his band of thugs murderers known as the Wild Hunt have descended upon Avalon. With his murderous appetite and immortal powers, the Erlking has long been the bane of the Fae realm. The treaty fragile Faerie Queen, sealed with a mysterious spell, the only thing that keeps you from hunting out of control in Avalon, the only place on Earth where humans live together and Fae. This means that Dana is in trouble, since it is well known that the Faerie Queen wants, and his rare powers Faeriewalker-dead. The hot and sexy Erlking has an eye on Dana, but is only meant to kill her, or has something far darker mind? DOWNLOAD


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Personal Demons - Lisa Desrochers

If you had to choose between Heaven and Hell, what would you choose?



Are you sure about that ...?

Frannie Cavanaugh is a good Catholic girl with a hint of evil. He has spent years keeping everyone at a distance, even his closest friends-and it seems that his last year will be more of the same ... Luc Cain until he enrolled in his class. Nobody knows where it comes from, but Frannie can not stay away from him. What she does not know is that Luc-Procurement works for Hell, and she has a unique set of skills that make the King of Hell tremble with anticipation. All that Luc has to do is get small, and it is as tempting as any other. Frannie has no chance.

Unfortunately for Luc, Heaven has other plans, and the Angel, Gabe, will do whatever is necessary to ensure that Luc did not get what you came for. And will not be long before they are fighting for more than just her soul.

Luc
But if it fails, the impact be serious ... for them.

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When I think of death, I see what everyone else does. There is a soft whisper when you find, and a voice telling us that everything will be fine.

never die alone, because they are always watching us, protecting us and guiding us. They remain silent as a simple gust of wind, but at this wind in our world can change. Mine did.

Love Angeles. Betrayal. Supernatural forces beyond our comprehension battle for human souls. Some will fall, others will prevail. DOWNLOAD

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Candidates - Inara Scott

abundance Lewis is far from popular. And it's not just your average ordinary wardrobe ratings or not-so-charming. In fact, the mediocrity of abundance is a cover for his secret: Every time she sees a person threatening someone for whom she cares, things just ... happen. Autos skating. Collapsing structures.

Usually someone gets hurt. So does the impossible impedance to avoid close to someone, she believes that this may suppress their powers and keep hidden.

But when recruiters from the prestigious Academy Delcroix be displayed in your living room to offer full scholarships, the days of abundance of living under a radar can be terminated. Only, Delcroix is \u200b\u200ba school for genius kids and children of diplomats, no student B with uncontrolled telekinetic trends. Why treat them like special abundance? Even the hottest guy on campus seems to make a special effort to make people feel welcome abundance.

But, is this new kid mysterious Jack, who can not stay out of trouble. He suspects that something dangerous is happening at the Academy and wants to help you get abundance clear what it is. But abundance is not convinced. She hopes, perhaps, recruiters know more about his "gift" than they appear. Maybe they could help her understand how to use it ... But even abundance can imagine what awaits you behind the closed doors of the Academy Delcroix.




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Three Wishes - Jackson Pearce


since her boyfriend broke up with her, Viola has spent the day looking in silence return to have someone who wants it and, more importantly, back to being part of something. Until one day, without realizing it, calls a genius from another world, which will stay until his girl ask for three wishes.

Genius is eager to return home, but Viola is terrified want, afraid of not asking the right thing. As the two are spending time together, the line between master and servant begins to fade and Genius will soon recognize that you are in love with Viola.

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The heart of the time - Juan de Goya

As every morning, she rises to Alexandra go to class, like every morning, puts on his uniform, like every morning, walks the streets of Dover towards the school. But this is not a morning like any other, the clocks are rebelling against time, disobey. The minutes become, at times, in seconds, sometimes within hours, and only she seems to notice. Alex, guided more by confusion than by the courage, seek the origin of this anarchy. Along the way, visit places unimaginable, unusual and dangerous adventures, and meet fascinating characters that will change your life. DOWNLOAD


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Together - Ally Condle


has come the most important moment in the life of Calla, the authorities will inform you who your "perfect match", the person with who will share the rest of his life. But a strange computer error Calla will fall in love with the wrong person ...

We are in a distant future, in a city where technology is ubiquitous and where all personal choice has been placed in the hands of the authorities to ensure full social harmony: from work to be played every single citizen, even what to eat or the person who should love.

supposedly utopian in this world live Calla, the protagonist of this novel. At just 17 years of age, Calla just attended the engagement ceremony, the most important event in the life of any teenager, because there is disclosed who his "perfect match." A Calla authorities had informed him that, after developing a detailed computer study of personality, the person must spend the rest of his life is Xander, her best friend. Are predestined.

Following the usual protocol of the ceremony, Calla receive a microchip with detailed information about her husband. Calla is eager to open: you may still have something that does not know his best friend? But when I get home and review the documentation, its surprise is capitalized: one of the files is the image of another guy that she knows: Ky, a neighbor. Very concerned, Calla decides to keep quiet, but soon a State official reveals that he is aware of this anomaly and ensures that this is just a computer error. In addition, she explains that Ky is an "aberration", a citizen second which is excluded from the engagement ceremony and that, therefore, can never fall in love and be loved in return.

This finding raises the question of Calla. Ky Why not have the same rights as other citizens? What hidden secrets? To find answers to these questions, Calla Ky seek friendship and, with the passage of time, eventually falling for him ...

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Iron King - Julie Kagawa

Meghan Chase has never fitted into the small village school, and now, on the eve of his 16th birthday, he discovers why. When his half brother is kidnapped, Meghan is drawn into a fantasy world she never imagined - the fairy world, where everything you see try to eat, and Meghan is the daughter of the king of the fairies of the summer.

Now she travels deep into the fairy world to deal with an unknown enemy ... and ask for help to the prince of winter could kill her as soon as she touched his heart of ice. Translated into

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Megan Chase used to be a normal girl ...

until he discovered it was actually a princess fey. After escaping from the clutches of the deadly Iron fey, Meghan must fulfill its promise to return to the Winter Court equally dangerous with his forbidden love, Prince Ash. Meghan But first a request: that he make a visit to Puck - Meghan's best friend and servant of his father, King Oberon - who was seriously injured Meghan defending the Iron Fey.
Although the diversion of Meghan and Ash does not go unnoticed. The attention of a powerful ancient hunter - an enemy that is even able to defeat Ash .... DOWNLOAD

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Protectorate of the umbrella - Gail Carriger


A novel vampires, werewolves and umbrellas in the middle of Victorian London.

Alexia
Tarabotti must operate under many and varied social tribulations. First, no soul. Secondly, it is a maiden whose father is Italian and, moreover, is dead. And third, has been rudely attacked by a vampire with no respect for social etiquette. What can you expect from that?

Apparently, no good, since Alexia accidentally kills the vicious vampire Lord Maccone (loud, rude, sexy and werewolf) is sent by the Queen to investigate. With unexpected vampire vampire appearing and disappearing expected, everyone seems to be convinced of the guilt of Alexia. Can he figure out what's happening actually in London high society? Your ability to cancel the supernatural powers because of its lack of soul should prove useful or just embarrassing? And finally, who is the real enemy, and will treacle tart? DOWNLOAD

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Swoon - Nina Malkin

approaches Sin ... prepare to fail ...




Torn from his native city of New York and held in the land of posh people taking tea and cookies, Candice is resigned to accept his elegant, glamorous and boring fate. Nothing happens in Swoon, Connecticut. But that change when the perfect premium Penelope almost dies after falling from an old tree and is hopelessly intertwined with the spirit of a ghost. His name? Sinclair Younblood Powers. Their mission? Revenge. And while Pen remains ignorant of possession, Candice if you are very aware of Sin. She feels strongly attracted to him but does not approve it without causing havoc in the city. Determined to exorcise the demon, Candice accidentally commits a grave error, gives him the power of the flesh and make it formidable. Now you must destroy a much more powerful and irresistible enemy before the city succumbs to the will of Sin. The only problem is that it has fallen in love him.


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Elixir - Hillary Duff


As the daughter of a renowned surgeon and prominent politician in Washington DC, Clea Raymond felt the glare of all his life. And though she fears the paparazzi who follow each of his movements, she is also a talented photojournalist who takes refuge in a career that allows you to travel to the most exotic places in the world. But after Clea's father mysteriously disappears during a humanitarian mission, dark images of a strange and mysterious young begin to appear in the photos of Clea, a man that never in his life has been.

Clea
When suddenly you see this man in person, they were astonished, and felt an immediate and powerful connection. As you become more close, they feel deeply attracted by the mystery behind the disappearance of her father and discover the truth behind their intense ancestral link. Torn apart by a powerful love triangle and tormented by a powerful secret that keeps your destination, are together in the race against time to be done to unravel his past in order to save his future-and their lives.

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Sweep - Cane Tiernan

Years from now, look back and remember this day as the day I met him. Look back and remember the exact moment when my life began to include him. Remember this day forever ... Morgan

never thought it would be a witch. But during a ceremony led by Cal, the new and popular student at his school, something happens to her. Suddenly everything looks brighter, clearer. Morgan

not want to mess with witchcraft ... but it feels like witchcraft would have chosen.

Beware of the witch, and watch them hard, as their powers go beyond what you imagine ...
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Afterlight - Jasper Elle

The less conventional tattoo, Savannah, Riley Poe, living on the edge of the abyss. Right now it's because his younger brother is involved in a sinister cult led by vampires. His only ally is the moody vampire Eli Dupre, who is attracted by the beauty of Riley and his strange and unique blood type. To save her brother undeath, Riley will face dangers they had never dreamed of bloodthirsty enemies, and an evil that threatens to devour everything ...


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The maze runner - James Dashner

When Thomas wakes up in the elevator, the only thing I can remember is his first name. His memory is blank. But not alone. When the elevator door opens, Thomas finds himself surrounded by guys who welcome the clear-a huge open plain surrounded by stone walls.

Just like Thomas, the people of course do not know how or why they came to the course. All they know is that every morning the stone door facing the maze that surrounds them have opened. And every night they have closed tightly. and that every thirty days is given a new kid in the elevator.

Thomas was expected. But the next day, a girl is sent, the first girl I've come to the course during this time. And more surprising still is the message which comes to leave.

omas could be more important than ever imagined. If only I could unlock the dark secrets buried within his mind.

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The Labyrinth was only the beginning ...


Solving the Maze
was supposed to end. No more puzzles. No more variables. And no more escape. Thomas was sure to escape meant that he and the inhabitants of Sure would have their lives back. But no one really knew a kind of life were returning.

In the Labyrinth, life was easy. They had food and shelter and were safe ... until Teresa brought the end. In the world outside the Maze, however, order had been triggered long ago.

Burnt by the sun's rays and cooked by a brutal new climate, much of the land is a territory inservivble. The government has disintegrated, and with that order, and now the Cranks, people covered with horrible wounds and managed by a murderous madness infeccionsa disease called La Flare roam the ruined cities in search of a new victim .. . and food.

The Inhabitants of course, are far from being over run. Instead of freedom they are faced with a nuuevo experiment. Must cross the burn, the more charred area of \u200b\u200bthe earth, and reach safe haven even in two weeks. And Evil has made sure to adjust the variables and put the odds against him. Thomas

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