Here, if one exponentiates 1, the product is 2. 71828 ; thus, the exponential function is the reciprocal of the natural logarithm.

Here the reciprocal is especially meaningful and is known as the number needed to treat ( NNT ): 1 /( 20 %)

Here the curvature of a curve is by definition the reciprocal of the radius of the osculating circle.

Here again, in the written language it is possible to help the reader get his stresses right by using underlining or italics, but much of the time there is simply reliance on his understanding in the light of context.

Here, Lakoff is specifically referring to liberals ' challenges in understanding conservatives.

Here, Adler sets forth his method for reading a non-fiction book in order to gain understanding.

Here we presume an understanding of basic multivariate calculus and Fourier series.

Here Brahmagupta states that and as for the question of where he did not commit himself .< ref name =" Boyer Brahmagupta p220 "> His rules for arithmetic on negative numbers and zero are quite close to the modern understanding, except that in modern mathematics division by zero is left undefined.

Here, ' true nature ' refers to an understanding of the three marks of existence ( see above ), the true nature of impermanence, the true nature of unsatisfactoriness and the true nature of insubstantiality or the non-self or soul.

Here Russia was forced into an artificial history before its Culture was ready or capable of understanding its burden.

Here the poet ascends beyond physical existence to the Empyrean Heaven, where he comes face to face with God himself and is granted understanding of both divine and human nature.

Here, Joyce employs an empirical perspective in his description of characters and events ; an understanding of characters ' personalities is often gained through an analysis of their possessions.

Here Peirce makes a statement that is decisive for understanding the relationship between his pragmatic definition of truth and any theory of truth that leaves it solely and simply a matter of representations corresponding with their objects.

Here Burke offers rhetorical theorists and critics a way of understanding the relationship between language and ideology.

Here he wrote a famous paper, An Application of the Quantum Theory to the Luminosity of Diffuse Nebulae, which for the first time provided a quantitative method ( the " Zanstra method ") for understanding the luminosity of nebulas and comets.

Here he worked under Dr John Murray and his assistant John Young Buchanan, and gained a deeper understanding of oceanography and invaluable experience in the principles of scientific investigation.

Here we see drumming is not simply a musical skill for Africans in Jamaica, but understanding of the spirits and of African language is necessary to access the spiritual world.

Here he realized that there was little or no research being done into configuration management, and he set about applying the principles of scientific modelling to understanding computer systems.

Here he began a happy, very productive period, in which he began his lifelong work of bringing true engineering understanding to soil as an engineering material whose properties could be measured in standardized ways.

Here, Hofstadter introduces a key concept in understanding Populism: the agrarian myth.

" Here he is trying to gain understanding about what would happen if Elesin isn ’ t successful in carrying out his death ritual.

Here though we can see a direct source for the known work, dated, personal, and full of the quiet and tender observation that conjured so much fully realised work that now makes up our understanding of a life in the new colony.

Here the focus is less on specific audience and topic work but uses strong customer understanding and insight to inform and guide effective policy and strategy development.

Here, on the hottest day, it is cool beneath the stone and fresh from the water flowing in the sluices at the bottom of the vaults.

Here in these little rooms -- or stages arched open to the sky and river -- they choose a few lines out of the hundreds they may know and sing them according to one of the modes into which Persian music is divided.

Here, on a desk, is a stack of pamphlets representing the efforts of some of the best men of the day to penetrate these questions.

Here, if anywhere, it is not wholly incontrovertible.

Here we may observe that at least one modern philosophy of history is built on the assumption that ideas are the primary objectives of the historian's research.

Here an important caveat is in order.

Here, then, is what Swift would have called a modest proposal by way of a beginning.

But this we know: Here is a great life that in every area of American politics gives the American people occasion for pride and that has invested the democratic process with the most decent qualities of honor, decency, and self-respect.

Here is a word of advice when you go shopping for your pansy seeds.

Here then is our problem: aircraft are vital to winning a war today because they can perform those missions which a missile is totally incapable of performing ; ;

Here is truly a `` Great Recording of the Century '', and its greatness is by no means diminished by the fact that it is not quite perfect.

Here is an original kedgeree recipe from the Family Club's kitchen:

Here is the promise of a vacation trip they can afford.

Here is where things stand today:

Here the Af distance is 2.44 Aj.

Here the pulmonary vein, as in type 2,, is noted to draw away from the bronchus, and to follow a more direct, independent course to the hilum ( figs. 23, 24 ).

Here the number of trials is a random variable, not a fixed number.

Here there is a specific preventive component which applies in a more generalized sense to any casework situation.

( Here an entry is a form plus the information that pertains to it.

Here is the best short explanation of the origins of the Cold War that has been written.