In this note the equivalence among Well-ordering Principle, Principle of Finite Induction and certain natural conditions concerning set integers is discussed, thereby clarifying facts encountered in literature.

An active device is an electron device, such as a transistor, capable of delivering power amplification by converting dc bias power into time varying signal power. It delivers a greater energy to its load than if the device were absent. The charge control framework [1-3] presents a unified understanding of the operation of all electron devices and simplifies the comparison of the several active...

Abstract. Dual Gramian analysis is one of the fundamental tools developed in a series of papers [37, 40, 38, 39, 42] for studying frames. Using dual Gramian analysis, the frame operator can be represented as a family of matrices composed of the Fourier transforms of the generators of (generalized) shiftinvariant systems, which allows us to characterize most properties of frames and tight frames...

As a consequence of identifying the principle described in the title, we prove that for any uncountable cardinal λ, if there is a λ-free Whitehead group of cardinality λ which is not free, then there are many “nice” Whitehead groups of cardinality λ which are not free.

if in multiple offences deserving legal punishment (ḥadd) the perpetrated offences are similar, the punishments interfere and the person is sentenced to one legal punishment. this judgment is disputable from two perspectives. firstly, it is against the principle of non-interference of causes and effects. secondly, it is against the principle of justice and causes disturbance in public security ...

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the division of possession into a trustful and liable one is a mechanism from the legislator to define the responsibility of a person possesses the other's property. the possessor of the other's property is held responsible for the property itself and its benefits regardless of whether he has used it or not. although a trust possessor is not responsible for damages caused to the trust...

the division of possession into a trustful and liable one is a mechanism from the legislator to define the responsibility of a person possesses the other's property. the possessor of the other's property is held responsible for the property itself and its benefits regardless of whether he has used it or not. although a trust possessor is not responsible for damages caused to the trust...

the principle of equality of arms means that each party in an action shall present her claim in an environment so that this does not put him in a worse condition compared to the other party of the trial. this principle has been internationally and locally embraced by authorities. from the perspective of international documents, the acceptance of this principle is partly influenced by the accept...