Another product rule for the cross product of two vector fields F and G in three dimensions involves the curl and reads as follows:

* A 1999 TV movie from the Bible Collection that follows the biblical account very closely, Esther, starred Louise Lombard in the title role and F. Murray Abraham as Mordecai.

It follows from Euler's polyhedron formula, V − E + F = 2 ( where V, E, F are the numbers of vertices, edges, and faces ), that there are exactly 12 pentagons in a fullerene and V / 2 − 10 hexagons.

Since the stopping force F times that distance must be equal to the head's kinetic energy, it follows that F will be much greater than the original driving force f — roughly, by a factor D / d.

A related inversion formula more useful in combinatorics is as follows: suppose F ( x ) and G ( x ) are complex-valued functions defined on the interval < nowiki >

For example, the eight possible orientations of the L, F, N, P, and Y pentominoes are as follows:

If G lifts limits for a diagram F and GF has a limit, then F also has a limit and G preserves the limits of F. It follows that:

For instance, if body A exerts a force of magnitude F on body B, and B exerts a force of magnitude f on A, then the ratio F / f is always equal to 1, regardless of the actual units used to measure F and f. This is a fundamental property of dimensionless proportions and follows from the assumption that the laws of physics are independent of the system of units used in their expression.

In other words, if a planet, M, follows an elliptical orbit around a focus F and has a point P where PM is tangent to the curve and FPM is a right angle so that FP is the perpendicular to the tangent, then the centripetal force at point P is proportional to F * M /( R *( F * P )< sup > 3 </ sup >) where R is the radius of the curvature at M. Johann Bernoulli proved this formula in 1710.

Consequently, ( ƒ g ) g ' = f < sub >− 1 </ sub > g < sup >− 1 </ sup > g ' + ( F ' g ) g ' = ƒ < sub >− 1 </ sub > g '/ g + ( F g )' and ( iv ) follows from ( i ) and ( iii ).

The notes of the regulators, from highest to lowest ( given a nominal pitch of D ) are as follows: Tenor: C, B, A, G, F #.

The chain complex for X is defined as follows: first find a free module F < sub > 1 </ sub > and a surjective homomorphism p < sub > 1 </ sub >: F < sub > 1 </ sub > → X.

The upshot is that the first fundamental form () is invariant under changes in the coordinate system, and that this follows exclusively from the transformation properties of E, F, and G. Indeed, by the chain rule,

Introducing the assumption ( true of most physical forces, as they obey Newton's strong third law of motion ) that the force between two particles acts along the line between their positions, it follows that r × F = 0 and the angular momentum vector L is constant ( conserved ).

The functions F and B have exactly the same multiplicity at every argument T.

The ANOVA F – test ( of the null-hypothesis that all treatments have exactly the same effect ) is recommended as a practical test, because of its robustness against many alternative distributions.

" William F. Albright notes the pronunciation of the name remained essentially the same for 3, 500 years, but has meant different things: "' Temple of the God Lakhmu ' in Canaanite, ' House of Bread ' in Hebrew and Aramaic, ' House of Flesh ' in Arabic.

Let V, W and X be three vector spaces over the same base field F. A bilinear map is a function

The Blue Angels ' six demonstration pilots fly the F / A-18 Hornet in more than 70 shows at 34 locations throughout the United States each year, where they still employ many of the same practices and techniques used in their aerial displays in 1946.

The same year, he made a cameo appearance in the German film Christiane F., a real-life story of teenage drug addiction in 1970s Berlin.

The flow now defines a map, the Poincaré map F: S → S, for points starting in S and returning to S. Not all these points will take the same amount of time to come back, but the times will be close to the time it takes x < sub > 0 </ sub >.

However, in principle, since the same electronegativities should be obtained for any two bonding compounds, the data is in fact overdetermined, and the signs are unique once a reference point is fixed ( usually, for H or F ).

At the same time the influx of federal funding also gave rise to demands for accountability and the behavioral objectives approach of Robert F. Mager and others foreshadowed the No Child Left Behind Act passed in 2002.

" F. G .", perhaps one of the two Guthries, published the question in The Athenaeum in 1854, and De Morgan posed the question again in the same magazine in 1860.

It was at the same time that he founded, along with other militants, the F. G. E. R. I.

The Fahrenheit and Celsius scales intersect at − 40 ° (− 40 ° F and − 40 ° C represent the same temperature ).

The Rankine temperature scale was created to use degree intervals the same size as those of the Fahrenheit scale, such that a temperature difference of one degree Rankine ( 1 R ) is equal to a difference of 1 ° F, except that absolute zero is 0 R – the same way that the Kelvin temperature scale matches the Celsius scale, except that absolute zero is 0 K. The Fahrenheit scale uses ( in the same manner as the later Celsius scale ) the symbol ° to denote a point on the temperature scale and the letter F to indicate the use of the Fahrenheit scale ( e. g. " Gallium melts at 85. 5763 ° F "), as well as to denote a difference between temperatures or an uncertainty in temperature ( e. g. " The output of the heat exchanger experiences an increase of 72 ° F " and " Our standard uncertainty is ± 5 ° F ").

Sometimes " long double " is used for this in the C language family ( the C99 and C11 standards " IEC 60559 floating-point arithmetic extension-Annex F " recommend the 80-bit extended format to be provided as " long double " when available ), though " long double " may be a synonym for " double " or may stand for quadruple precision.

In vector format, the moment can be defined as the cross product between the radius vector, r ( the vector from point O to the line of action ), and the force vector, F:

* Article Baal ( PDF format ) by W. Robertson Smith and George F. Moore in Encyclopædia Biblica, edited T. K. Cheyne and J. Sutherland Black, MacMillan: London, 1899.

* Alexander F. Victor improves on the 17. 5 mm format with his Duoscope, which uses two center perforations instead of the typical one.

Once their respective lawn tennis associations agreed, one of the four Harvard players, Dwight F. Davis, designed a tournament format and ordered an appropriate sterling silver trophy from Shreve, Crump & Low, purchasing it from his own funds for about $ 1000.

One of the earliest surviving publication in Canada of a song for the piano in sheet music format is The Merry Bells of England by J. F.

For a list of notable past players in searchable-table format see List of Leicester City F. C.

For a list of notable players in sortable-list format see List of Rochdale A. F. C.

For a list of notable Halifax Town players in sortable-list format see List of Halifax Town A. F. C.

Initially based on the rear-wheel drive X-body platform that underpinned the Chevrolet Nova ( a unibody with a bolt-on subframe, common to both GM X and F bodies ), the Seville's unibody and chassis were extensively re-engineered and upgraded from that humble origin and it was awarded the unique designation " K-body " ( rather than " X-special " following the format of the A-special Chevrolet Monte Carlo / Pontiac Grand Prix and B-special Buick Riviera ).

For a list of notable players and players who played for Portsmouth for more than 100 games in a sortable-list format see List of Portsmouth F. C.

F and D specifications still need to be in column-dependent format.

The novel uses a standard memoir format, revealing Walter F. Starbuck's current situation, then going back to tell the story of his first two days after being released from prison.

With the series now in one-reel format, Douglas had to modify the looser approaches of his predecessors, Robert F. McGowan and Gus Meins, and turned the Our Gang series into slicker, more streamlined shorts based around situation comedy.

* Sinar F / F +/ F1 / F2 ( Field ): classic, entry-level, 4x5 and 5x7 ( F2 ) and 8x10 large format film view cameras ; simple and robust, the starting point for many students of photography around the world.

Following the example of corporate sister station WCBS in New York, which had enjoyed renewed success with an all news format, KNX then became an all-news station in the spring of 1968 ; its first major breaking news coverage was of the assassination of Democratic Presidential candidate Robert F. Kennedy, in the Ambassador Hotel in Los Angeles, in June of that year.

Since 2003 Jos F. Kirps is running a Pagan Lorn tribute website where all tracks from the demo tape and the CDs can be downloaded in MP3 format.

The constituency names, in this section, follow the format and the spelling used by F. W. S. Craig in his British Parliamentary Election Results series.

* 1969 F. Edward Hebert Oral History Interview ( in PDF format ), from the LBJ Library and Museum

Writer's Digest is owned by F + W Media, which also publishes the annual edition of Writer's Market, a guide similar in size to a telephone directory containing a comprehensive list of all paying markets — magazines, publishing houses, and contests — as well as an index and many tips for the beginning writer on how to compose query letters and proper manuscript format.

In the past, employers sometimes allocated their employees a temporary insurance number, which followed the format, where ' TN ' stands for temporary number and is static and x is usually M for male or F for female and the numbers in the midsection are the employee's date of birth.

Shortly after, the magazine was transformed from a tabloid into a book format under the guidance of its editor since 2001, Richard F. J. Wood.

For a list of notable players in sortable-table format see List of Blackburn Rovers F. C.