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Este líquido da vida,
Esta água dentro mim,
Os rios e antigos oceanos,
Nós os reverenciamos.

Uma gota em mim
Histórias sem fim
Uma gota nas nuvens,
A espera dos lábios gretados,
Dos que padecem assim,

Um mundo feito de água,
Que deixa morrer de sede,
Chocamos contra uma parede,
Nosso amor escorrido para além,
As revoltas águas do desdém,

Água como bem escasso,

O ter cuidado no passo

Que não seja maior que a perna,

Ou trazem-te um peixe a casa

E tu com pés de cimento,
A descansar com os peixes. (The godfather)
Ciclo do fluido infinito,

Absorveu muitas curtas, finadas esperanças.
Água que tudo lava se houver genica e calma
Agua que só não limpa o pesar que vai na alma.

Uma mulher exótica manipula um piano belo, 

We must decide tomorrow, even if game theory says otherwise.

Think of these little people, all death and gone in spite of all that magnificent gadgets,

Put a spell over these pods right here and summon some of the departed in their last moments of exhausted persistence!

Every time I regard quantum chromodynamics reconstitution (QCDR), some ghost walks over my grave.

See that little panel, once connected to the operation triad schism, they were so short and fluffy…so alive… 

-at that point Cerleen interrupted, half smiling, a mysterious backlight filling her eyes:

O Mistress of Usefulness, still cranky sore of envy for the triad operators? Or is it a fetish thing?

Uluguanda Melissandre de Melville Ernestine Arrivedere Gefährlichkeit, also known as the Red Back kick of Desolation, Threader of the Black Dawn, chairwoman of the departed technology restoration guild, DTRG, suddenly laugh a LOL, her head high, all body as cheerful as Times were allowing.

You little pervert!

You know how I admire Triad Entanglement Augmentation, even if we only can grasp at its full potential…

You know how Silicon Age Sapiens, how SAS used to talk about Guacamole, my dear orbiting another?

Well Professor, obscure pre-departed references are your forte, not mine.

“That you are here—that life exists and identity,

That the powerful play goes on, and you may contribute a verse”


O me, O life? - said Cerleen all in a whisper

O life, that’s the question, we must opt for our sake

As starlight and filters allowed all that blueish atmosphere to get some Metaphysical out of a standoff, true was that the point was of decision.

On the other side, debating over sore feet and an empty stomach is heavily counterintuitive. Against results-oriented logic. 

So, let’s face the game over a nice table of seafood and a château Orsdorf 53…

Agreed. Concerning that Guacamole reference…

O, Shut Up, O young beast, O me, O life, do You know why I am called back kick of Desolation?

I must say I really would love to hear it again, Mistress of…

Shoo!

It was a misty evening after the battle of the centipede stampede, and the yellow glow of Varholyn seemed to paint an obscure anxiety veil over…

Both women walked as if it was an ordinary after turn chat, leaving the scene where science and history would converge once more dealing with forces beyond zeitgeist. 

But that, that is another chapter, still to be unraveled.

There was a link between us and them
Severed when we were earthquaked,

Subducted into a mantel of hatred.

What’s the drive keeping me on,
While continuing to ignore when I hear, come on,
Deaf to my desires, blind to evidence, nothing in my defense
Stance after stance, not knowing how to dance

Move void of ususpcted choreography

Discourse house, cacophony
Indisposed, once high spirited, won’t you come?

In the sands of time I seek thee
You, oblivious of once being me
As indecision mates with suspicion in a dark marriage

Celebation of decadence, tainted flowers, stench of cans
An imaginary line of jalopy van,
Fugue in a crazy run, rabid horses, Gothic carriage.


Because you could have had all that and more,
Still reserving all the rest you adore, family and lore
Erudition and folklore, the red moon, an embrace, your own pace.

Life is only a shadow of doubts, forgetful of abouts,
Cards already played returning to the decko existency
Unrelenting, intransigent, not meant to be conducted, void of leniency

Pieces always fitting, too late to make sense, steel grim
And I always turning stones, looking for fantasy, whim
Opportunities come and pass, epochs stare as I never dare. 

Praised be my progeny, may they be free
Inee3pendent, adverse to their father,
May tey look upon things with humility 

Distance themselves of conceptual artifices stay natural

Cultivate the body through activity 

Drown my fears, lost friend, there’s no you. 

You asphyxiated in your imaginary and were tore to pieces

You inhabit the entrails of gavials and gators

And still there is some of your stench over some bayou 

Turning into the snake author to this incoherence

Materialization of an insane nation of your savage nature

All of you frustrations, layers of auto piety you cannot hide

As ugly as the worst inside of the tiniest you. 


Agnostic by social correctness, atheistic without distress

Pantheistic xantoist, Buddhist hindu 

J’étais très jeune quand je lisais le singe nu

Je croyais que Mircea Eliade était une jolie femme 

Tant d’erreurs dans ce chemin qu’au bout, je l’aime 

Et les yeux d’un homme parle comme personne

S’il y avait une interprète pour les montrer

C’est la raison, en écoutant Québec, 

J’ai décidé d’écrire en français san rimer

Que j’adore car ma nature sont les émotions 

Et je ne suis pas capable d’être petit et vain longtemps. 

Comme la bonanza doit succéder à rage des vents.... 

Cada olhar de faca enferrujada, 

É uma estocada, cada vez que a ira
O ignoto desprezo, o juízo sem peso 
Me tocam, eu regozijo, esquivo, altivo,
Alimento a distância que nos separa.

Esquecida vara que me açoita, atitude afoita,
O meu passo parece esquecer as grilhetas
E o seu peso ausente, ilusão de não mais preso,
Sentenciado, todavía, todo o santo ou profano dia.

Cada censura perdura em mim numa carapaça,

Uma coisa dura que me ultrapassa,
Não sei o que seja,
Não é que se veja,
Uma subida de Mohs, um salto na escala,

Até que um dia, breve, riscados sereis apenas, afinal, vós!
Que nos leve a ceifadora desta estada breve,
Que nada afinal transpareça do que ora 
Se escreve.

Não interessa essa ideia de tantos conteúdos,
Como um velho lord inglês tinha de sobretudos.

Havia amigas de infância, queridas da juventude
Mulheres que desejamos anos e evitamos
Em nome de não se transa com as colegas,
Não se libera a libido no Colégio, tenra idade,
Até porque temos maior responsabilidade…
Eramos crédulos antes de assumir a revolta,
Oportunidade não volta, jardins alheios, solitude.

Gente que respeitamos e queremos.
Quando vemos
Já não vemos
Nem queremos
Somente raiva e desalento
E a força incrível do vento. 

Turbilhão que nos aliena e condenou
Por atos que nunca se praticou.
De repente só existe um quente poente
Uma linha do horizonte ignorada,
Nunca ultrapassada, porta fechada. 

considering the history of modern mathematics two questions at once arise: 

(1) what limitations shall be placed upon the term Mathematics; 

(2) what force shall be assigned to the word Modern? 

In other words, how shall Modern Mathematics be defined?

In these pages the term Mathematics will be limited to the domain of pure science. 

Questions of the applications of the various branches will be considered only incidentally. 

Such great contributions as those of Newton in the realm of mathematical physics, of Laplace in celestial mechanics, of Lagrange and Cauchy in the wave theory, and of Poisson, Fourier, and Bessel in the theory of heat, belong rather to the field of applications.


In particular, in the domain of numbers reference will be made to certain of the contributions to the general theory, to the men who have placed the study of irrational and transcendental numbers upon a scientific foundation, and to those who have developed the modern theory of complex numbers and its elaboration in the field of quaternions and Ausdehnungslehre. 

In the theory of equations the names of some of the leading investigators will be mentioned, together with a brief statement of the results which they secured. 

The impossibility of solving the quintic will lead to a consideration of the names of the founders of the group theory and of the doctrine of determinants. 

This phase of higher algebra will be followed by the theory of forms, or quantics. 

The later development of the calculus, leading to differential equations and the theory of functions, will complete the algebraic side, save for a brief reference to the theory of probabilities. 

In the domain of geometry some of the contributors to the later development of the analytic and synthetic fields will be mentioned, together with the most noteworthy results of their labors. 

Had the author’s space not been so strictly limited he would have given lists of those who have worked in other important lines, but the topics considered have been thought to have the best right to prominent place under any reasonable definition of Mathematics.

Modern Mathematics is a term by no means well defined. 

Algebra cannot be called modern, and yet the theory of equations has received some of its most important additions during the nineteenth century, while the theory of forms is a recent creation. 

Similarly with elementary geometry; the labors of Lobachevsky and Bolyai during the second quarter of the century threw a new light upon the whole suBject, and more recently the study of the triangle has added another chapter to the theory. 

Thus the history modern mathematics must also be the modern history of ancient branches, while subjects which seem the product of late generations have roots in other centuries than the present.

How unsatisfactory must be so brief a sketch may be inferred from a glance at the Index du Répertoire Bibliographique des Sciences Mathématiques (Paris, 1893), whose seventy-one pages contain the mere enumeration of subjects in large part modern, or from a consideration of the twenty-six volumes of the Jahrbuch über die Fortschritte der Mathematik, which now devotes over a thousand pages a year to a record of the progress of the science. 

1

The seventeenth and eighteenth centuries laid the foundations of much of the subject as known to-day. The discovery of analytic geometry by Descartes, the contributions to the theory of numbers by Fermatto algebra by Harriot, to geometry and mathematical physics by Pascal, and the discovery of the differential calculus by Newton and Leibniz, all contributed to make the seventeenth century memorable. 

The eighteenth century was naturally one of great activities. 

Euler and the Bernoulli family in Switzerland, d’Alembert, Lagrange, and Laplace in Paris, and Lambert in Germany, popularized Newton’s great discovery, and extended both its theory and its applications. Accompanying this activity, however, was a too implicit faith in the calculus and in the inherited principles of mathematics, which left the foundations insecure and necessitated their strengthening by the succeeding generation.


The nineteenth century has been a period of intense study of first principles, of the recognition of necessary limitations of various branches, of a great spread of mathematical knowledge, and of the opening of extensive fields for applied mathematics. 

Especially influential has been the establishment of scientific schools and journals and university chairs. 

The great renaissance of geometry is not a little due to the foundation of the École Polytechnique in Paris (1794-5), and the similar schools in Prague (1806), Vienna (1815), Berlin (1820), Karlsruhe (1825), and numerous other cities. 

About the middle of the century these schools began to exert a still greater influence through the custom of calling them mathematicians of high repute, thus making Zürich, Karlsruhe, Munich, Dresden, and other cities well known as mathematical centers.

In 1796 appeared the first number of the Journal de l’ École Polytechnique. Crelle’s Journal für die reine und angewandte Mathematik appeared in 1826, and ten years later Liouville began the publication of the Journal de Mathématiques pures et appliquées, which has been continued by Resal and Jordan. 


The Cambridge Mathematical Journal was established in 1839, and merged into the Cambridge and Dublin Mathematical Journal in 1846. 

Of the other periodicals which have contributed to the spread of mathematical knowledge, only a few can be mentioned: the Nouvelles Annales de Mathématiques (1842), Grunert’s Archiv der Mathematik (1843), Tortolini’s Annali di Scienze Matematiche e Fisiche (1850), 

Schlömilch’s Zeitschrift für Mathematik und Physik (1856), the Quarterly Journal of Mathematics (1857), Battaglini’s Giornale di Matematiche (1863), the Mathematische Annalen (1869), the Bulletin des Sciences Mathématiques (1870), the American Journal of Mathematics (1878), the Acta Mathematica (1882), and the Annals of Mathematics (1884). 

To this list should be added a recent venture, unique in its aims, namely, 

 and two annual publications of great value, the Jahrbuch already mentioned (1868), and the 

(1892).


To the influence of the schools and the journals must be added that of the various learned societies whose published proceedings are widely known, together with the increasing liberality of such societies in the preparation of complete works of a monumental character.


The study of first principles, already mentioned, was a natural consequence of the reckless application of the new calculus and the Cartesian geometry during the eighteenth century. 


This development is seen in theorems relating to infinite series, in the fundamental principles of number, rational, irrational, and complex, and in the concepts of limit, continuity, function, the infinite, and the infinitesimal. 


But the nineteenth century has done more than this. 


It has created new and extensive branches of an importance which promises much for pure and applied mathematics. 

Foremost among these branches stands the theory of functions founded by Cauchy, Riemann, and Weierstrass, followed by the descriptive and projective geometries, and the theories of groups, of forms, and of determinants.

The nineteenth century has naturally been one of specializations. 


At its opening one might have hoped to fairly compass the mathematical, physical, and astronomical sciences, as did Lagrange, Laplace, and Gauss. 

But the advent of the new generation, with Monge and Carnot, Poncelet and Steiner, Galois, Abel, and Jacobi, tended to split mathematics into branches between which relations were long to remain obscure. 


In this respect, recent years have seen a reaction, the unifying tendency again becoming prominent through the theories of functions and groups. 

 

 

1 The foot-notes give only a few of the authorities which might easily be cited. They are thought to include those from which considerable extracts have been made, the necessary condensation of these extracts making any other form of acknowledgment impossible.


2 For a list of current mathematical journals see the Jahrbuch über die Fortschritte der Mathematik. A small but convenient list of standard periodicals is given in Carr’s Synopsis of Pure Mathematics, p. 843; Mackay, J. S., Notice sur le journalisme mathématique en Angleterre, Association française pour l’Avancement des Sciences, 1893, II, 303; Cajori, F., Teaching and History of Mathematics in the United States, pp. 94, 277; Hart, D. S., History of American Mathematical Periodicals, The Analyst, Vol. II, p. 131.


3 For a list of such societies consult any recent number of the Philosophical Transactions of Royal Society of London. Dyck, W., Einleitung zu dem für den mathematischen Teil der deutschen Universitäts Ausstellung ausgegebenen Spezialkatalog, Mathematical Papers Chicago Congress (New York, 1896), p. 41.

4 Klein, F., The Present State of Mathematics, Mathematical Papers of Chicago Congress (New York, 1896), p. 133.


Godspeed.😍