Taking a fairly broad definition of the West End, the area contains the main concentrations of most of London's metropolitan activities apart from financial services, which are concentrated primarily in the City of London.

Each algebra consists of linear combinations of three basis elements, 1 ( the identity element ), a and b. Taking into account the definition of an identity element, it is sufficient to specify

Taking differentials of each definition to find dH and dG, then using the fundamental thermodynamic relation, aka " master equation " ( always true for reversible or irreversible processes ):

Taking the definition of φ backwards, we see that the electric field is just the negative gradient ( the del operator ) of the potential.

Taking the square root of each side of the line element gives the above definition of.

Taking simply by itself, Kant's political philosophy, being essentially a legal doctrine, rejects by definition the opposition between moral education and the play of passions as alternate foundations for social life.

Taking place from October 23 to November 1, 2002, in New Delhi COP 8 adopted the Delhi Ministerial Declaration that, amongst others, called for efforts by developed countries to transfer technology and minimize the impact of climate change on developing countries.

A simple example of a Butterworth filter is the third-order low-pass design shown in the figure on the right, with C < sub > 2 </ sub > = 4 / 3 F, R < sub > 4 </ sub > = 1 Ω, L < sub > 1 </ sub > = 3 / 2 H, and L < sub > 3 </ sub > = 1 / 2 H. Taking the impedance of the capacitors C to be 1 / Cs and the impedance of the inductors L to be Ls, where is the complex frequency, the circuit equations yield the transfer function for this device:

Taking into account that P ≥ L, the simplest representation of the F ( P, L ) function could be as following:

Taking the Fourier transform ( unitary, angular frequency convention ) of a Gaussian function with parameters a, b = 0 and c yields another Gaussian function, with parameters ac, b = 0 and 1 / c.

Taking the cue from the student, these writing tutors function much like the consultants described by Griffin et al., offering suggestions and working together on a given writing task.

Taking care of their safety and health is important to being able to function properly and making strong decisions.

Taking a longer expansion – cutting at a higher frequency – corresponds in the frequency domain to widening the brick-wall, which in the time domain corresponds to narrowing the sinc function and increasing its height by the same factor, leaving the integrals between corresponding points unchanged.

Taking a function f as its only argument, call / cc takes the current continuation ( i. e., a " snapshot " of the current control context or control state of the program ) as an object and applies f to it.

Taking his cue from George Green, he set out to develop a potential function for a dynamical theory for the transmission of light.

Taking the derivative of Hamilton's principal function S with respect to the conserved momentum p < sub > φ </ sub > yields

Taking the first derivative of the log-likelihood function

These views were forcefully expressed by David Hilbert in 1928, when he wrote in < cite > Die Grundlagen der Mathematik </ cite >, " Taking the principle of excluded middle from the mathematician would be the same, say, as proscribing the telescope to the astronomer or to the boxer the use of his fists ".

< td valign =" top "> Children's rights movement, deschooling and free schooling, natural childbirth, Taking Children Seriously and the abandonment of circumcision .</ td >

Taking the ratio of the two equations for V < sub > s </ sub > and V < sub > p </ sub > gives the basic equation for stepping up or stepping down the voltage

Taking into account different sample and reference temperatures we note that while SG < sub > H < sub > 2 </ sub > O </ sub >

Taking the dot product of each side of the former equation with itself, | u < sub > 1 </ sub >|< sup > 2 </ sup >

Taking care of the units the radiation power for < sup > 60 </ sup > Co is 17. 9 W / g

Taking the exponential of both sides, and choosing any positive integer m, we get a formula involving an unknown quantity e < sup > y </ sup >.

Taking the example from above, the product of the terms of the arithmetic progression given by a < sub > n </ sub >

< cite > How Organizations Work: Taking a Holistic Approach to Enterprise Health </ cite >.

* Taking connected sums with several copies of S < sup > 3 </ sup > does not change a manifold.

Taking a point in T < sub > x </ sub >* M is the same as choosing of a point x in M and a one-form ω at x, and the tautological one-form θ assigns to the point ( x, ω ) the value

* Tactical Autonomous Combatant ( TAC ) units, described in Project Alpha study < nowiki >'</ nowiki > Unmanned Effects: Taking the Human out of the Loop < nowiki >'</ nowiki > -

The next limit ordinal above the first is ω + ω = ω · 2, and then we have ω · n, for any natural number n. Taking the union ( the supremum operation on any set of ordinals ) of all the ω · n, we get ω · ω = ω < sup > 2 </ sup >.

Taking a finite sum of such terms avoids difficulties of analytic continuation to the region σ < 1.

Taking determinant ( N-th power of the geometric mean ) and trace ( proportional to arithmetic mean ) of a unitary matrix reveals that its eigenvalues λ < sub > i </ sub > are unit modulus.

Taking the derivative of H with respect to the p < sub > x </ sub > momentum component gives the formula

Taking boundary values, universal Teichmüller can be identified with the quotient of the group of quasisymmetric homoemorphisms QS ( S < sup > 1 </ sup >) by the subgroup of Möbius transformations Moeb ( S < sup > 1 </ sup >).

Taking a $ 1. 4 million pay cut from the Canucks ' original yearly offer, Sundin reportedly decreased his contract willingly in order to give the Canucks added salary cap space to potentially bolster their lineup before the end of the season .< ref >

Taking an approach of Anekāntavāda, Ācārya Hemacandra is said to have displayed a broad-minded attitude, which pleased Kumarpal .< ref name = Hema >

Taking account of the fact that such a move on our part would be unpopular in world opinion, he argued that the responsibility of the United States is `` to do, confidently and firmly, not what is popular, but what is right ''.

Taking the streetcar back to Kaiser's Fountain, I walked ahead, then left down the street opposite St. Sophia and just beyond the corner came to a small, one-story building with a red-tile roof, which is the entrance to the Sunken Palace.

Taking alienation as a dependent variable, with what socio-structural factors is it most highly associated??

Taking of abalone is not permitted south of the mouth of the San Francisco Bay.

Taking from the fact that amongst this community this is known as the romantic orientation, the prefixes of homo -, hetero -, bi -, pan -, poly -, demi-and a-have been used to form terms such as heteroromantic, biromantic and so on.

::: Taking the first or even the second strike without swinging is not unusual.

Thus, for instance, the Taking Children Seriously movement has criticised pedagogic coercion by adults, including parents, on children, holding that it is possible and desirable to act with a child in such a way that all activities are consensual.

The Islamic creed is the Shahadah, the proclamation لا اله الا الله محمد رسول الله ( lā ʾilāha ʾillà-llāh, muḥammadun rasūlu-llāh ) – “ There is no god but Allah ; Muhammad is Allah's messenger .” Taking this creed is one of the five pillars of Islam.

" Taking the Mick " or " taking the Mickey " is thought to be a rhyming slang form of " taking the piss ", where " Mick " came from " Mickey Bliss ".

Taking thirty to forty-five minutes each way, the round trip is slightly more than long and the Arch is completely hidden from view on most of this trail.

: Taking the Principle of the Excluded Middle from the mathematician ... is the same as ... prohibiting the boxer the use of his fists.

Chase describes music from this period, “ Taking the guitar as his instrumental model, and drawing his inspiration largely from the peculiar traits of Andalusian folk music – but without using actual folk themes – Albéniz achieves a stylization of Spanish traditional idioms that while thoroughly artistic, gives a captivating impression of spontaneous improvisation ... Cordoba is the piece that best represents the style of Albéniz in this period, with its hauntingly beautiful melody, set against the acrid dissonances of the plucked accompaniment imitating the notes of the Moorish guslas.

Taking into account its structure, flow of subject matter and emphases, one interpretation of the Lord's Prayer is as a guideline on how to pray rather than something to be learned and repeated by rote.

Taking the study of perception as his point of departure, Merleau-Ponty was led to recognize that one's own body ( le corps propre ) is not only a thing, a potential object of study for science, but is also a permanent condition of experience, a constituent of the perceptual openness to the world.

Moncton is briefly mentioned in the movie " Taking Lives " ( 2004 ) starring Angelina Jolie, when the killer boards a train from Montreal to Moncton.

Taking many of his achievements into consideration, Mehmed is widely known as the " second founder " of the Ottoman Empire.

Taking a year to be of this 6940-day cycle gives a year length of 365 + + days ( the unrounded cycle is much more accurate ), which is slightly more than 12 synodic months.