although ‘allāma ḥillī and shaykh anṣārī have pointed out the feature of confirmation (iḥrāz) in some of the practical principles, its refinement has been one of mīrzā-yi nā’īnī’s initiatives. he divided the practical principles into “confirming and non-confirming. the confirming principle determines the practical duty of the religiously ccountable (mukallaf) in view of reality, such as: istiṣḥ...

Background: Today, unfortunately, we are witnessing the expansion of competition in the world over the acquisition of weapons of mass destruction. Weapons of mass destruction are a set of weapons whose use causes widespread destruction and destruction of the environment and large-scale killing and massive human casualties, leaving no distinction between military and civilian and leaving irrepar...

The S stars in the Galactic-center region are found to be on near-perfect Keplerian orbits around presumably a supermassive black hole, with periods of 15-50 yr. Since these stars reach a few percent of light speed at pericenter, various relativistic effects are expected and have been discussed in the literature. We argue that an elegant test of the Einstein equivalence principle should be poss...

A relativistic and manifestly gauge-invariant soft-photon amplitude, which is consistent with the soft-photon theorem and satisfies the Pauli Principle, is derived for the proton-proton bremsstrahlung process. This soft-photon amplitude is the first two-u-two-t special amplitude to satisfy all theoretical constraints. The conventional Low amplitude can be obtained as a special case. It is demon...

A general principle, dating back to Gauss, that is widely used in estimating the number of integer lattice points in nice sets S in R is that this number equals the volume of S with a small error term [4,5,13]. This approach is very useful, and can be proved to be rigorous, for example, if one considers the number of lattice points in sets rT, where the dimension n is fixed, T is a given nice s...

Making a position measurement to determine through which slit a particle has passed necessarily destroys the twin-slit interference pattern (see Fig. 1). This is the canonical example of Bohr’s complementarity principle [1, 2]. To defend this principle against Einstein’s recoiling slit gedankenexperiment, Bohr relied upon the recently (in 1927) derived Heisenberg uncertainty relation [3] to sho...

The Landauer principle asserts that the energy cost of erasure of one bit of information by the action of a thermal reservoir in equilibrium at temperature T is never less than kBT log 2. We discuss Landauer’s principle for quantum statistical models describing a finite level quantum system S coupled to an infinitely extended thermal reservoirR. Using Araki’s perturbation theory of KMS states a...

Keywords: System of nonlinear integral equations Step method Picard operators Generalized fibre contraction principle a b s t r a c t Using the step method, we study the following system of integral equations from biomathematics xðtÞ ¼ gðt; xðtÞ; xðt À sÞÞ þ Z t tÀs f ðs; xðsÞÞds; t 2 ½a; bŠ; s > 0 and we prove the existence, uniqueness and the convergence of the successive approximation sequen...

The talk gives an application of lattice gas theory to probabilistic combinatorics, following a recent paper of Scott and Sokal. There is a large collection of bad events; the problem is to show that there is some non-zero probability that none of them occur. The result is that this probability is bounded below by the partition function of the dependency graph of the events. A subsequent talk w...

In this paper, we develop a robust uncertainty principle for finite signals in C which states that for nearly all choices T,Ω ⊂ {0, . . . , N − 1} such that |T |+ |Ω| (logN)−1/2 ·N, there is no signal f supported on T whose discrete Fourier transform f̂ is supported on Ω. In fact, we can make the above uncertainty principle quantitative in the sense that if f is supported on T , then only a smal...