Based on Ginzburg – Landau theory, the free energy of a ferroelectric material, in the absence of an electric field and applied stress may be written as a Taylor expansion in terms of the order parameter, P. If a sixth order expansion is used ( i. e. 8th order and higher terms truncated ), the free energy is given by:

If f is a polynomial of degree less than or equal to d, then the Taylor polynomial of degree d equals f.

The building featured in the BBC Four 2010 series Churches: How to read them, in which Dr Richard Taylor named it as one of his ten favourite churches, saying: " If buildings have an aura, this one radiated friendship.

Capitol also signed or became American distributors of albums by Badfinger, The Band, The Beach Boys, Grand Funk Railroad, If, Sandler and Young, Glen Campbell, Cathie Taylor, Steve Miller Band, People, Pink Floyd, Linda Ronstadt, The Human Beinz, Peter Tosh, and various solo albums by members of the Beatles.

Taylor wrote, " If the means to which the government of the union may resort for executing the power confided to it, are unlimited, it may easily select such as will impair or destroy the powers confided to the state governments.

According to British historian A. J. P. Taylor: " If the treaty of San Stefano had been maintained, both the Ottoman Empire and Austria-Hungary might have survived to the present day.

If f is an entire function, it can be represented by its Taylor series about 0:

" According to A. J. P. Taylor, writing in 1954: " If the treaty of San Stefano had been maintained, both the Ottoman Empire and Austria-Hungary might have survived to the present day.

Notable songs from Johnson's repertoire include " Upside Down "; " Flake "; " Sitting, Waiting, Wishing "; " If I Had Eyes "; " You and Your Heart "; " Taylor "; " Banana Pancakes " and " Better Together ".

According to British historian A. J. P. Taylor, " If the treaty of San Stefano had been maintained, both the Ottoman Empire and Austria-Hungary might have survived to the present day.

If inflation were to rise by 1 %, the proper response would be to raise the interest rate by 1. 5 % ( Taylor explains that it doesn't always need to be exactly 1. 5 %, but being larger than 1 % is essential ).

Taylor later stated that the situation made him more nervous than any play of his career, " I'm saying to myself ( as the pass is being thrown ), ' If I drop this pass, I got to run my black ass all the way to Upper Saddle River because there ain't no way I'm going to be able to stay in that stadium '.

If an operator is not simply expressed as a product, but as a function of another operator, we must first perform Taylor expansion of this function.

If we expand this equation as a Taylor series about J

* If Black chooses the symmetrical reply 1 ... f5, Taylor considers White's best line to be quiet play with 2. b3 b6 3. Bb2 Bb7 4. e3, when 4 ... Nf6 5. Bxf6!

If Black does not want to defend against White's attacking opportunities against 3 ... Nxc3 4. dxc3, then 3 ... e6 is a reasonable alternative that was Alekhine's choice when meeting the Two Knights, and this defense has been advocated by Taylor.

If the curl of this equation is taken, the result is the Taylor – Proudman theorem:

In fact, Kelley was " found " after targeting Eric Clinger at Hollywood Records with private spam, " If you like James Taylor, Try Josh Kelley ," messages using the Napster program.

Commenting on the Templeton Prize award to Taylor, the United Kingdom ’ s Chief Rabbi Sir Jonathan Sacks said, “ If there is such a thing as a saint in a secular age, he deserves that title ”.

If we expand in a Taylor series about and neglect terms of order higher than,

Dr Richard Taylor named it as one of his ten favourite churches, saying: " If buildings have an aura, this one radiated friendship.

*" If You Were Mine " by Taylor Dayne ( 1993 )

If their mother's nature connects the Lares to the earth they are, according to Taylor, spirits of the departed.

If the new Soviet series has followed the general pattern of previous Russian tests, the shots were roughly half fission and half fusion, meaning a fission yield of 30 to 40 megatons thus far.

If it pleases symphony audiences as a light, jolly piece, a series of impressions musically expressed, it succeeds.

If a series is drawn then the country already holding the Ashes retains them.

* In the Tales of Old Dartmoor episode ( recorded in 1956 ) of The Goons radio comedy series, Grytpype-Thynne arranges for the prison to put to sea to visit the Château d ' If in France as part of a plan to find the treasure of the Count of Monte Cristo hid there.

If y is a point where the vector field v ( y ) ≠ 0, then there is a change of coordinates for a region around y where the vector field becomes a series of parallel vectors of the same magnitude.

If the next time the orbit loops around phase space in a different way, then it is impossible to rectify the vector field in the whole series of patches.

Given a trigonometric series f ( x ) with S as its set of zeros, Cantor had discovered a procedure that produced another trigonometric series that had S ' as its set of zeros, where S ' is the set of limit points of S. If p ( 1 ) is the set of limit points of S, then he could construct a trigonometric series whose zeros are p ( 1 ).

If Wycliffe was in philosophy the superior of his contemporaries and had no equal in scholastic discipline, he belongs with the series of great scholastic philosophers and theologians in which England in the Middle Ages was so rich – with Alexander of Hales, Roger Bacon, Duns Scotus, William of Ockham ( Occam ), and Thomas Bradwardine.

# If A is a disjoint union of countably many disjoint Lebesgue measurable sets, then A is itself Lebesgue measurable and λ ( A ) is equal to the sum ( or infinite series ) of the measures of the involved measurable sets.

If the series is successful, collected chapters may be republished in paperback books called tankōbon.

If a manga series is popular enough, it may be animated after or even during its run, although sometimes manga are drawn centering on previously existing live-action or animated films ( e. g. Star Wars ).

If the data set were based on a series of observations obtained by sampling from a statistical population, the arithmetic mean is termed the " sample mean " () to distinguish it from the " population mean " ( or < sub > x </ sub >).

In addition, multiple continuities are visited in the comic book series What If, What The --?!

Wender and Klein point out that pessimism can be useful in some circumstances: " If one is subject to a series of defeats, it pays to adopt a conservative game plan of sitting back and waiting and letting others take the risks.

If he claimed the throne, he would throw the country into yet another series of wars, and if he failed, he would be sacrificing everyone and everything he knew.

If snowfall stays on the ground for a series of years uninterrupted, the snowpack develops into a mass of ice called glacier.

If a series of messages are sent to the same receiver as in the example above, they can also be written as a cascade with individual messages separated by semicolons:

If a series of judicial decisions result in an interpretation of the law which the Executive considers does not reflect the intention of the policy, the Executive can change the legislation.

* In an issue of the What If series, Cannonball's brother Josh ( who would, in normal continuity, later become Icarus ) found and " adopted " a Sentinel.