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Time-varying Feedback Systems Design Via
Diophantine ...
Diophantine equation plays an important role in the design and synthesis of feedback compensators.
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DIOPHANTINE EQUATION, THE FIELD OF BLOOD
MICHAEL TAYLOR. DIOPHANTINE EQUATION, THE FIELD OF BLOOD '\\\":~.
MICHAEL TAYLOR DIOPHANTINE EQUATION, THE FIELD OF BLOOD THE
INDETERMINATEPOLYNOMIAL EQUATION WITH. Front Cover.
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Handbook of Discrete and Combinatorial Mathematics
An equation with the added proviso that the solutions must be integers (or must
belong to some other specified countable set, such as the set of rational numbers
) is called a diophantine equation. This name comes from the ancient Greek ...
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A Transition to Advanced Mathematics : A Survey Course: A ...
Example 3.3.2 We examine two equations—one is Diophantine with positive
integer solutions, and one is not. • x − y = 0 is a Diophantine equation with
infinitely many solutions x = y = 1, x = y = 2, and so on; that is, every pair of
integers with x ...
William Johnston Associate Dean of the College and Stodghill Professor of Mathematics Centre College, Alex McAllister Associate Professor of Mathematics Centre College,
2009
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Geometric Theorems,
Diophantine Equations, and Arithmetic ...
4 The Diophantine equation xn + yn = xpyqz (where p + q = n) . . . . . . . 64 1 +1 +...
+1 =1 5 On the diophantine equation . . . . . . . . . . 65 x1 x2 xn xn+1 6 On the
diophantine equation x1! + x2! + ... + xn! = xn+1! . . . . . . . . . . 68 7 The diophantine
...
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Unsolved Problems in Number Theory
Chen Xi-Geng & Le Mao-Hua, The Diophantine equation (xm - 1) (xm" - 1 ) = y2,
Huaihua Shizhuan Xuebao, 30(2001) 11-12; MR 97k:11045. Mihai Cipu, A
bound for the solutions of the Diophantine equation Dix2 + D? = 4y", Proc.
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Logic, Methodology and Philosophy of Science: Proceedings of ...
That is, to every recursively enumerable set S of positive integers, there is an
exponential Diophantine equation E(s,ult . . .,um) such that s eS if and only if E(s,
ult . . ., um) is solvable in positive integers. The proof of this result is constructive.
Ernest Nagel, Patrick Suppes, Alfred Tarski,
1962
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Index to Mathematical Problems, 1980-1984
The Diophantine equation 8x3 - 21x2y + 35xj/2 - 83y3 = z3 has the obvious
solutions (x, y, z) = (k, 0, 2k), where k is an integer. Find at least two solutions for
which y ^ 0. CRUX 719. by Noam D. Elkies Are there positive integers x, y and z
such ...
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The Algorithmic Resolution of
Diophantine Equations: A ...
On a quartic diophantine equation. Proc. Edin. Math. Soc., 39, 97-114, 1996. [194
] J.T. Tate. The arithmetic of elliptic curves. Invent. Math, 23, 179-206, 1974. [195]
E. Thomas. Complete solutions to a family of cubic diophantine equations.
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Another Reason to Love the Number Seven
For example, if we look for Pythagorean triples, integers that satisfy the equation a2+b2=c2, we're looking at a Diophantine equation. Logically ... «Scientific American, 9月 14»
Hyperbolic homogeneous polynomials, oh my!
This is a linear Diophantine equation." Number theory also plays an important role in encryption. "Every time one visits a website with an https:// ... «Phys.Org, 4月 14»
Mayfield Man Uses Lego Art To Show The Importance Of Math
He used a diophantine equation to make the two shapes fit. And the tower's telltale lean? That was also a matter of math. Gugick calculated ... «Patch.com, 3月 13»