It then follows that Af is large enough, but this is not obvious from the above expression.

In a complex inner product space, the expression for the cosine above may give non-real values, so it is replaced with

This is the integer to which the above expression refers.

The above expression is only ten words long, so this integer is defined by an expression that is under eleven words long ; it is definable in under eleven words, and is not the smallest positive integer not definable in under eleven words, and is not defined by this expression.

Some of non verbal communication includes chronemics, haptics, gesture, body language or posture ; facial expression and eye contact, object communication such as clothing, hairstyles, architecture, symbols infographics, and tone of voice as well as through an aggregate of the above.

Whenever this happens, the above expression is undefined because it involves division by zero.

Because the above expression is equal to the difference, by the definition of the derivative is differentiable at a and its derivative is f ′( g ( a )) g ′( a ).

This expression uses quantities such as which are defined in the section below headed ' Mathematical aspects of the above rules '.

( The above expression is read as " the derivative of y with respect to x ", " d y by d x ", or " d y over d x ".

* Database language engines ( or processors )-Most operations upon databases are performed through expression in Database languages ( see above ).

* Database language engines ( or processors )-Most operations upon databases are performed through expression in Database languages ( see above ).

Then, using the periodic Bernoulli function P < sub > n </ sub > defined above and repeating the argument on the interval, one can obtain an expression of ƒ ( 1 ).

was obtained from the linear time-coefficient in Newcomb's expression for the solar mean longitude ( above ), taken and applied with the same meaning for the time as in formula ( 3 ) above.

While the three formulae above are a direct expression in logic of what is known, they do not suffice to correctly draw consequences.

The cardinal qualities of the style of Homer are well articulated by Matthew Arnold: he translator of Homer should above all be penetrated by a sense of four qualities of his author :— that he is eminently rapid ; that he is eminently plain and direct, both in the evolution of his thought and in the expression of it, that is, both in his syntax and in his words ; that he is eminently plain and direct in the substance of his thought, that is, in his matter and ideas ; and finally, that he is eminently noble.

From the variables defined above, we find two other common expression for the value produced during a given period as:

This is the one of many stories which leads to the modern expression of " Tall Poppy Syndrome " to describe the phenomenon of tearing down individuals who rise too far above the majority.

Thus, we should amend the expression given above into: Metallic bonding is an extremely delocalized communal form of electron deficient covalent bonding.

In the above expression '( 3 + 5 )' is the first operand for the multiplication operator and ' 2 ' the second.

In the above expression, the multiplication operator has the higher precedence than the addition operator, so the multiplication operator has operands of ' 5 ' and ' 2 '.

Given the above expression, evidently the result of her ( local ) measurement is that the three-particle state would collapse to one of the following four states ( with equal probability of obtaining each ):

The reductionist viewpoint, supported by John McDowell and others, has tried to tackle the first two propositions 1 and 2 ( above ), by putting forth certain modes of expression ( such as being in pain ) as privileged and allowing us direct access to the other's mind.

There was an artificial lake just out of sight in the first stand of trees, fed by a half dozen springs that popped out of the ground above the hillside orchard.

As a groundwork for the proposal I give some attention to the first task enumerated above, the clarification of goal.

February's volume was 1 per cent above January's for the first pickup since last October, although it's still 1.5 per cent off from February 1960.

Since she could not act, one part suited her as well as any other, and so she was the first person to offer Mr. Lincoln a glass of water, holding it up to the box, high above her head, to Miss Harris, who had asked for it.

The credit provdied by the first two services in the system outlined above is primarily for general agricultural purposes.

The funds recouped by reductions in item 12 above are used: first, to increase the unadjusted allotments to the specified minimum in those States where the unadjusted allotment is less than the minimum allotment ( item 13 above ) ; ;

In dealing with these frequencies, the objective listed first above -- provision of service to all listeners -- was predominant ; ;

Not only should every educator above the rank of instructor be expected to be a member of one of the professional organizations, but his first qualification for membership as an educator should be so sharply scrutinized that membership would be equivalent to certification to teach the subject.

At the very first, then, Brumidi was required, by the classically pyramidal shape of his central group, to fill in the triangular space above the seated girl on Liberty's right, before starting on the allegorical figures themselves.

Most of the Junkers were above the blinding light of the flares, and the radar-controlled shore gun had been knocked out by one of the first sticks of bombs.

The first few days Bob Fogg set his plane down on Towne field back of the State House when the wind was right, and used Wilson flat above Barre when it wasn't.

In the first courtyard there are some fine bas-reliefs and friezes, and in the second a series of delightful terraced roof gardens above an ivy-covered wall.

Heavier particles settle out first, so gravel will be on the bottom, sand above, silt above that and very fine clay and organic matter will stay in suspension for days.

During this period winter sports were slowly introduced: in 1882 the first figure skating championship was held in St. Moritz, and downhill skiing became a trendy sport with English visitors early in the 20th century, as the first ski-lift was installed in 1908 above Grindelwald.

In 1930 the Lauberhorn Rennen ( Lauberhorn Race ), was run for the first time on the Lauberhorn above Wengen ; the equally demanding Hahnenkamm was first run in the same year in Kitzbühl, Austria.

Unlike the models mentioned above, Christie's Poirot was clearly the result of her early development of the detective in her first book, written in 1916 but not published until 1920.

" The structure repeats on the first floor and in the design of two windows at the ends forming galleries, but on the large central window there are two balconies as described above.

He designates Abrasax more distinctly as " the power above all, and First Principle ," " the cause and first archetype " of all things ; and mentions that the Basilidians referred to 365 as the number of parts ( mele ) in the human body, as well as of days in the year.

Referring to the above sketch of Spartan history, we find Agesilaus shining most in its first and last period, as commencing and surrendering a glorious career in Asia, and as, in extreme age, maintaining his prostrate country.

Three separate sources were combined to form fr. 350, as mentioned above, including a prose paraphrase from Strabo that first needed to be restored to its original meter, a synthesis achieved by the united efforts of Otto Hoffmann, Karl Otfried Muller and Franz Heinrich Ludolf Ahrens.

He wrote that the central theme of the topics above is that of topos theory, while the first and last were of the least importance to him.