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...results which show the tree different proof-theoretic frameworks for many-valued logics, e.g. frameworks of the following deductive calculi: Hilbert ’s style, sequent, and hypersequent. Recall that hypersequents are a natural generalization of Gentzen ’s style sequents that was introduced independently by Avron and Pottinger . In particular, we examine Hilbert ’s style, s...

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...tends to be neutralized, diminished, balanced by Non-A. At the same time, in between A and Non-A there are infinitely many points of view Neut-A. Let’s note by A an idea, or proposition, theory, event, concept, entity, by Non-A what is not A, and by Anti-A the opposite of A. Neut-A means what is neither A nor Anti-A, i.e. neutrality is also in between the two extremes. ...

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...t-order logical language. . . . . . . . . . . . . . . 17 2.1 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.2 Hilbert’s type calculus for classical logic . . . . . . . . . . . . . . 20 2.3 Sequent calculus for classical logic . . . . . . . . . . . . . . . . . 22 3 n -valued Lukasiewicz’s logics. . . . . . . . . . . . . . . 27 3.1 Prelim...

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...3. Remarks Sandor [2] has considered the problem of finding the S-perfect and completely S-perfect numbers, but his proof is not complete. He has proved that the only S-perfect of the form n = p q is n = 6 and there is no S-perfect number of the form n = 2kq where k ¸ 2 is an integer and ...

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...randache 3n-digital sequence 5 B. Cheng : An equation involving the Smarandache double factorial function and Euler function 8 A. A. K. Majumdar : S-perfect and completely S-perfect numbers 12 B. Zhao and S. Wang: Cyclic dualizing elements in Girard quantales 21 P. Chun and Y. Zhao : On an equation involving the Smarandache function and the Dirichlet divisor function...

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... Keywords Right C-rpp semigroups, right cross products, right regular bands, left cancellative monoids. x1. Introduction Recall that a semigroup S is called an rpp semigroup if all its principal right ideals aS1, regarded as right S1-systems, are projective. According to J.B. Fountain[5], a semigroup S is rpp if and only if, for any a 2 S, the set Ma=fe 2 E j S1a...

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...-numbers 16 X. Ren, etc. : A structure theorem of right C-rpp semigroups 21 A. R. Gilani and B. N. Waphare : Fuzzy extension in BCI-algebras 26 A. S. Shabani : The Pell's equation x2 ¡ Dy2 = §a 33 L. Cheng : On the mean value of the Smarandache LCM function 41 W. Guan : Four problems related to the Pseudo-Smarandache-Squarefree function 45 Y. Lou : On the pseudo Smar...

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...Abstract: Let G be a group having a partially closed subset S such that S contains the identity element of G and each element in S has an inverse in S. Such subsets of G are called halfsubgroups of G. If a halfsubgroup S generates the group G, then S is called a halfsubgroup generatin...

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...Halfsubgroups BY ARUN S. MUKTIBODH. . . . . . . . . . . . . . . . . . . . . . . . . . . . .01 Flexibility of Embeddings of a Halin Graph on the Projective Plane BY HAN REN and YUN BAI. . . . . . . . . . . . . . . . . . . . . . . . . . . .06 C...

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...ded forces, skirmishing shoulder to shoulder with the civilian population, with the purpose of defeating all non-aggressors, for securing our country’s slavery and dependency. The defeat in this battle is assured through a moral inferiority of our population - the right cause of this antiwar -, the lack of heroism of our state’s citizens, by applying an adequate blun...

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...t take place on the ground, in the air, or on the water, in an open paradoxist cooperation with all-military denominations, and using their armament’s procedures with the goal of empowering the non-aggressor enemy. The battle is not the only way for obtaining the miscarriage. The battle’s goal is not the destruction or the capture of enemy’s groups, or the capture...

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...ignment 1. ...............................10 The battle and its non-goal. ...........................12 The principles of non-organizing the battle’s actions. .................13 Non-Assignment 2...............................13 The disorganization principle of the subunits of unpatriotic guards. ............15 The subunits of the other branches of the military, their...

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...” is called on Internet in the following ways: global totalitarianism, neo-totalitarianism, new world order, global fascist order, neo-fascism, today’s new fascism, semi-colonialism, neocolonialism, global cyber hegemony (global control and manipulation of the Internet), global dictatorship, etc. where a few elites from some power countries try to take over the whole globe...

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...ites and other malignant people. IN CONCLUSION, THIS IS A DO-NOT-DO LIST!... • Corruption, deception, betray to reach your goal; • To take someone’s property; • In nature it doesn’t exist equality, nor liberty; • Real instincts; • Being sincere and honest you loose for sure;...

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...ism and the Working Animals: 6 International Injustice in Science, Arts, and Letters: 23 Dark Strategies in Politics: 29 Extracts from Machiavelli’s leading “Prince”: 52 Extracts from Sun Tzu’s “The Art of War”: 55 ADDENDA: More References on (Anti)Globalization: 63...

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...FATE IRONY before may I have been ”me” the fate was done from geometric signs Lobacevsky’s ones after my face but not looking like me in dropping of time...

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...CITY: 43 PRAYER: 44 CONTENTMENT: 48 WISH: 49 ALONE IN THE CHRISTMAS NIGHT: 51 THE MATCHMAKERS: 57 THE END: 65 ADIEU: 66 3) POEMS FROM MY SOUL’S EXILE – cycle: 68 THE SHADOW OF AUROCHS: 69 EMIGRANT TO INFINITY: 70 THE COUNTRY AND ME: 71 THE SAP OF THE LIFE: 72 THORNY ROSE OF LOVE: 73 YOU ARE SO SINGLE ON THE EARTH…: 74 SYMPHONY IN WALNUT WOOD: 75 DON’T SET Y...

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...THEOREM 1.1.1: Let S = {(a1 a2 a3 | a4 a5 | a6 a7 a8 a9 | … | an-1, an) | ai ∈ R; 1 ≤ i ≤ n} be the collection of all super row vectors with same type of partition, S is a group under addition. Infact S is an abelian group of infinite order und...

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COSMOLOGY : pages 4-69 LET’S BIKE THE ART! : pages 70-129

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In the first chapter of this book we discuss Einstein’s thought experiment with atomic clocks.

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...Preface (Many Relativities ) In the first chapter of this book we discuss Einstein’s thought experiment with atomic clocks: A rocket travels at a constant speed v with respect to the earth. In the rocket, a light pulse is emitted by a source from A to a mirror B that reflects it back to A where it is detect...

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...C O N T E N T S Preface (Many Relativities): 7 Chapter 1. On Einstein’s Thought Experiment with the Light Clocks: 19 1.1. Einstein’s Thought Experiment with the Light Clocks: 20 1.2. Relativistic Addition of Velocities: 23 1.3. Count...

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...Y N.JAFARI RAD AND H.REZAZADEH . . . . . . . . . . . . . . . . . . . . . 15 The Forcing Weak Edge Detour Number of a Graph BY A.P.SANTHAKUMARAN AND S.ATHISAYANATHAN . . . . . . . . . . . . . 22 Special Smarandache Curves in the Euclidean Space BY AHMAD T. ALI . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 The H-Line Signed Graph of a Signed Graph...

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"...as humanity's blazing orb propels..."

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...It is the argument of this paper that the Canadian government has not yet achieved its goals of women’s equality, elimination of child poverty and optimal national productivity due to an oversight in social policy that neglects the unpaid caregiving sector. The care of the sick, elderly, handicapped, dying and the young has b...

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...onnections, inside-out clichés of language, and so on. They are in a paradoxist style, or close, and full of humor… Some of them are cascading Murphy’s Laws (pessimistically), others are opposite - like Peter’s Laws (optimistically). Their sweetness smiles in the face of adversity, full of irony and auto-irony. I hope readers will enjoy them....