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Given a real vector alpha =(alpha1 ; : : : ; alpha d ) and a real number E > 0 a good Diophantine approximation to alpha is a number Q such that IIQ alpha mod Zk1 ", where k \Delta k1 denotes the 1-norm kxk1 := max 1id jx i j for x = (x1 ; : : : ; xd ). Lagarias [12] proved the NP-completeness of the corresponding decision problem, i.e., given a vector ff 2 Q d , a rational number " ? 0 and a number N 2 N+ , decide whether there exists a number Q with 1 Q N and kQff mod Zk1 ". We prove that, unless ...
We address to the problem to factor a large composite number by lattice reduction algorithms. Schnorr has shown that under a reasonable number theoretic assumptions this problem can be reduced to a simultaneous diophantine approximation problem. The latter in turn can be solved by finding sufficiently many l_1--short vectors in a suitably defined lattice. Using lattice basis reduction algorithms Schnorr and Euchner applied Schnorrs reduction technique to 40--bit long integers. Their implementation needed several hours to compute a 5% fraction of the solution, i.e., 6 out of 125 congruences which are necessary to factorize the composite. In this report we describe a more efficient implementation using stronger lattice basis reduction techniques incorporating ideas of Schnorr, Hoerner and Ritter. For 60--bit long integers our algorithm yields a complete factorization in less than 3 hours.
A rather disillusioned observation was recently made during a pan-Africa conference: Africa women consider new information and communication technologies as "futuristic" rather than a tool for development to be used today. If initiatives are not taken now to thwart this attitude, activities by women in Africa to promote sustainable development that also benefit them will take event longer. This will be especially true in regions on the continent where English is not the common language.
We review arguments for and against reserve requirements and conclude that the main question is whether a distinction between money creation and intermediation can be made. We argue that such a distinction can be made in a money-in-advance economy and show that if the money-in-advance constraint is universally binding then reserve requirements on checkable accounts have no effect on intermediation. We then proceed to show that in a model in which trade is uncertain and sequential, a fractional reserve banking system gives rise to endogenous monetary shocks. These endogenous monetary shocks lead to fluctuations in capacity utilisation and waste. When the money-in-advance constraint is universally binding, a 100% reserve requirement on checkable accounts can eliminate this waste.
The goals of Zionism today
(1998)
This paper surveys the growth and various phases of and influences on the concept of democracy in the Islamic political thought of the last two centuries. Among the thinkers covered in the survey are Rifa'a Tahtawi (1801-73), Khairuddin at-Tunis (1810-99), Jamal ad-Din al-Afghani (1838-97), Muhammad Abduh (1849-1905), Abdurrahman al-Kawakibi (1849-1903), Rashid Rida (1865-1935), Hasan al-Banna (1904-49), Ali Abd Ar-Raziq (1888-1966), Sayyid Qutb (1906-66), Sa'id Hawwa, and Malik Bennabi (1905-73). Reference is made to the influence of Sayyid Mawdudi (1903-79), on the thought of Sayyid Qutb. The paper traces also the bearing of Bennabi's thought on Rachid Ghannouchi and on the Islamic movements of our times.
In Belhare (Sino-Tibetan, Nepal), consonant prothesis at morpheme boundaries and deletion of stem "augments" is found if either metrical or morphological parsing would violate the bimoraic trochee pattern that underlies the stress system of the language. This finding corroborates Dresher & Lahiri’s (1991) "Principle of Metrical Coherence" and provides new evidence for the cross-linguistic applicability of Crowhurst’s (1994) "Tautomorphemic Foot" constraint. The data also support a view of the Prosodic Hierarchy as weakly layered, allowing consonants to be directly dominated by the foot or word node if they are prothetic and do not therefore need feature licensing within the syllable canon.
Central wage bargaining and local wage flexibility : evidence from the entire wage distribution
(1998)
We argue that in labor markets with central wage bargaining wage flexibility varies systematically across the wage distribution: local wage flexibility is more relevant for the upper part of the wage distribution, and flexibility of wages negotiated under central wage bargaining affects the lower part of the wage distribution. Using a random sample of German social-security accounts, we estimate wage flexibility across the wage distribution by means of quantile regressions. The results support our hypothesis, as employees with low wages have significantly lower local wage flexibility than high wage employees. This effect is particularly relevant for the lower educational groups. On the other hand, employees with low wages tend to have a higher wage flexibility with respect to national unemployment.