Another equivalent axiom only considers collections X that are essentially powersets of other sets:

Another advantage with analog signals is that their processing may be achieved more simply than with the digital equivalent.

Another definition of asymmetric makes asymmetry equivalent to antisymmetry plus irreflexivity.

Another Vala, Aulë, creates the Dwarf race as an act of subcreation that honoured Eru Ilúvatar ( The equivalent of God in Tolkien's writings ), and which Eru accepted and made real, just as Niggle's Tree was made real.

Another matrix string theory equivalent to Type IIB string theory was constructed in 1996 by Ishibashi, Kawai, Kitazawa, and Tsuchiya.

Another equivalent definition of the rank of a matrix is the greatest order of any non-zero minor in the matrix ( the order of a minor being the size of the square sub-matrix of which it is the determinant ).

Another feature is the NET ( Null End Tag ) construction:, which is structurally equivalent to.

Another formalism mathematically equivalent to regular expressions, Finite automata are used in circuit design and in some kinds of problem-solving.

Another prominent opponent of Bligh, Macarthur's ally Thomas Jamison, was made the colony's Naval Officer ( the equivalent of Collector of Customs and Excise ).

Another report suggested that in 1669, Tavernier sold this large blue diamond along with approximately one thousand other diamonds to King Louis XIV of France for 220, 000 livres, the equivalent of 147 kilograms of pure gold.

Another example is al-Tusi's son, Sadr al-Din ( sometimes known as " Pseudo-Tusi "), who wrote a book on the subject in 1298, based on al-Tusi's later thoughts, which presented another hypothesis equivalent to the parallel postulate.

Another place is called the typical thirteenth Pratum magnum, a large open area destined to the market ( equivalent to today's Piazza Trento e Trieste ).

Another equivalent measure of proximity to instability is the phase margin.

Another roughly equivalent title and area in medieval Eastern Europe were those of ban ( bojan, vojin or bayan ) and banate.

* Another variation includes being sent to procure a " long weight " or " long stand ," the idea being that the dupe will reach the shop ( or equivalent source of the mythical object ) and place the request.

Another equivalent version is

Another divide and conquer algorithm with a single subproblem is the Euclidean algorithm to compute the greatest common divisor of two numbers ( by reducing the numbers to smaller and smaller equivalent subproblems ), which dates to several centuries BC.

Another equivalent formula for the area, which more closely resembles Heron's formula, is

Another language game, " Fannee Doolee ," centers around a character who likes any person, place, thing or concept with double letters in it but hates its non-double-lettered equivalent, e. g., " Fannee Doolee likes sweets but hates candy.

Another, equivalent way to describe the same is that the distribution figure of each candidate is the votes for his party divided by his rank within his party ; the candidates with highest distribution figures are elected.

Another equivalent definition with the advantage of brevity is

Another way of putting this is that a phase angle of, say, 5 ° is considered to be completely equivalent to an angle of 365 °.

Another rearrangement shows that the Jacobi identity is equivalent to the following identity between the operators of the adjoint representation:

Another consideration is that due to the fact that territory controlled by Tang central authority was diminished by the equivalent of several of the northern provinces, something like a quarter of the remaining population no longer remained within the imperial revenue system.

Another less restrictive definition is a vessel that can be lifted out of the water.

Another definition of the Bessel function, for integer values of, is possible using an integral representation:

Another definition for design is a roadmap or a strategic approach for someone to achieve a unique expectation.

Another definition of the GCD is helpful in advanced mathematics, particularly ring theory.

" Another joke puts a question concerning the definition of blunderbuss to " the four wise clerks of Oxenford " ( a reference to Chaucer's Clerk ; Tolkien had worked for Henry Bradley, one of the four main editors of the Oxford English Dictionary ):

Another alternative is to give the definition of the word.

Another definition sees language as a formal system of signs governed by grammatical rules of combination to communicate meaning.

Another common definition uses a human body, standing upright, as a frame of reference.

Another problem for easy definition is that much of the rest mass of ordinary matter derives from the invariant mass contributed to matter by particles and kinetic energies which have no rest mass themselves ( only 1 % of the rest mass of matter is accounted for by the rest mass of its fermionic quarks and electrons ).

Another type of maze consists of a set of rooms linked by doors ( so a passageway is just another room in this definition ).

Another term, polyphyletic, fell outside of the definition of monophyly.

" Another related definition accepted by many Pagans is that purported by the ceremonial magician Dion Fortune, who declared that " Magic is the art and science of changing consciousness according to the Will.

Another approach is to enunciate a theory, or to offer a definition or analysis, which constitutes an attempt to solve a philosophical problem.

Another, notably different, response was to accept the classical definition, as reflected in the following statement:

Another definition of research is given by Creswell who states-" Research is a process of steps used to collect and analyze information to increase our understanding of a topic or issue ".

Another definition states that its " primary distinguishing feature is a love plot in which two sympathetic and well-matched lovers are united or reconciled ".

Another definition is provided by the APICS Dictionary when it defines SCM as the " design, planning, execution, control, and monitoring of supply chain activities with the objective of creating net value, building a competitive infrastructure, leveraging worldwide logistics, synchronizing supply with demand and measuring performance globally.

Another, normative, definition of full employment might be called the ideal unemployment rate.

Another relation for well-ordering the integers is the following definition: x ≤< sub > z </ sub > y iff (| x | < | y | or (| x | = | y | and x ≤ y )).

Another definition, considered outdated by several authors ,< ref name =" sofiaecho. com ">

Another proposed definition of depression includes two general rules:

Another common response to the omnipotence paradox is to try to define omnipotence to mean something weaker than absolute omnipotence, such as definition 3 or 4 above.