For the year 2000 this means servicing ( A ) the protection requirements of a watershed producing at least 200 million acre-feet of water each year, ( B ) recreation and wildlife resources used each year by 635 million visitors, ( C ) a timber resource supporting an annual cut of 21 billion board feet, and ( D ) 60 million acres of rangelands.

For it is clear that the total number of ordinary intersections of C and Af must be even ( otherwise, starting in the interior of C, Af could not finally return to the interior ), and the center of rotation at T is the argument of the function, not a value.

For the lines of any plane, **yp, meeting Q in a conic C, are transformed into the congruence of secants of the curve C' into which C is transformed in the point involution on Q.

Everybody returned after intermission for the miscellaneous sweepings of the Fantasy For Piano, Chorus, And Orchestra In C Minor, made up by its composer to fill out one of his programs.

For certain models of ZF ¬ C, it is possible to prove the negation of some standard facts.

For example, there are slow-conducting unmyelinated C fibers and faster-conducting myelinated Aδ fibers.

For his part Conan Doyle acknowledged basing his detective stories on the model of Edgar Allan Poe's C. Auguste Dupin, and his anonymous narrator, and basing his character Sherlock Holmes on Joseph Bell, who in his use of " ratiocination " prefigured Poirot's reliance on his " little grey cells ".

* For a list of other extant works, C. Brockelmann's Geschichte der arabischen Litteratur ( Weimar, 1898 ), vol.

For instance, iron changes from a body-centered cubic structure ( ferrite ) to a face-centered cubic structure ( austenite ) above 906 ° C, and tin undergoes a transformation known as tin pest from a metallic phase to a semiconductor phase below 13. 2 ° C.

For this reason, the C programming language specifies that array indices always begin at 0 ; and many programmers will call that element " zeroth " rather than " first ".

For example, the field extension R / Q, that is the field of real numbers as an extension of the field of rational numbers, is transcendental, while the field extensions C / R and Q (√ 2 )/ Q are algebraic, where C is the field of complex numbers.

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For ƒ ∈ C ( X ) ( with a compact Hausdorff space X ), one sees that:

For every a ∈ A, there is λ ∈ C such that

For example kidney beans are toxic when raw or improperly cooked, due to the presence of phytohaemagglutinin which can be inactivated after cooking for at least ten minutes at 100 ° C.

For example, trace ( but detectable ) amounts of carbon-14 (< sup > 14 </ sup > C ) are continually produced in the atmosphere by cosmic rays impacting nitrogen atoms, and argon-40 (< sup > 40 </ sup > Ar ) is continually produced by the decay of primordially occurring but unstable potassium-40 (< sup > 40 </ sup > K ).

* For every object x in C, ;

For instance, a diagonal operator on the Hilbert space may have any compact nonempty subset of C as spectrum.

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For example, consider the following C ++ function:

* For every λ in C and every x in A:

For each element a of a group G, conjugation by a is the operation φ < sub > a </ sub >: G → G given by ( or a < sup >− 1 </ sup > ga ; usage varies ).

For example, the orbital 1s < sup > 2 </ sup > ( pronounced " one ess two ") has two electrons and is the lowest energy level ( n

For some elements, allotropes have different molecular formulae which can persist in different phases – for example, two allotropes of oxygen ( dioxygen, O < sub > 2 </ sub > and ozone, O < sub > 3 </ sub >), can both exist in the solid, liquid and gaseous states.

For example, at the gene locus for the ABO blood type carbohydrate antigens in humans, classical genetics recognizes three alleles, I < sup > A </ sup >, I < sup > B </ sup >, and I < sup > O </ sup >, that determine compatibility of blood transfusions.

For nearby astronomical objects ( such as stars in our galaxy ) luminosity distance D < sub > L </ sub > is almost identical to the real distance to the object, because spacetime within our galaxy is almost Euclidean.

For objects at very great distances ( outside our galaxy ) the luminosity distance D < sub > L </ sub > must be used instead of d ( in parsecs ).

For example, using Cartesian coordinates on the plane, the distance between two points ( x < sub > 1 </ sub >, y < sub > 1 </ sub >) and ( x < sub > 2 </ sub >, y < sub > 2 </ sub >) is defined by the formula

For example, if the sorted list to which we apply binary search has n elements, and we can guarantee that each lookup of an element in the list can be done in unit time, then at most log < sub > 2 </ sub > n + 1 time units are needed to return an answer.

For example, flint glass has V < 50 and crown glass has V > 50.

For example, n < sub > D </ sub > is measured at 589. 3 nm:

For allenes with four identical substituents, there exist two twofold axes of rotation through the center carbon, inclined at 45 ° to the CH < sub > 2 </ sub > planes at either end of the molecule.

* For a finite field of prime order p, the algebraic closure is a countably infinite field which contains a copy of the field of order p < sup > n </ sup > for each positive integer n ( and is in fact the union of these copies ).

For a singly charged hydrogen ion, ionised at 8 kV, the resulting velocity would be X ms < sup >− 1 </ sup >.

For a singly charged deuterium ion, the velocity would be Y ms < sup >− 1 </ sup >.

For example, in the presence of H < sub > 2 </ sub > O < sub > 2 </ sub > formed by the eosinophil, and either chloride or bromide ions, eosinophil peroxidase provides a potent mechanism by which eosinophils kill multicellular parasites ( such as, for example, the nematode worms involved in filariasis ); and also certain bacteria ( such as tuberculosis bacteria ).

* The Ham sandwich theorem: For any compact sets A < sub > 1 </ sub >,..., A < sub > n </ sub > in ℝ < sup > n </ sup > we can always find a hyperplane dividing each of them into two subsets of equal measure.

For example, a " 512 megabyte " RAM module is 512 × 1024 < sup > 2 </ sup > bytes ( 512 ×, or ), rather than.

For example, bacteria catalyse the breakdown of the mineral pyrite ( FeS < sub > 2 </ sub >) by oxidising the sulfur and metal ( in this case ferrous iron, ( Fe < sup > 2 +</ sup >)) using oxygen.

For example, the first assumption has been tested by observations showing that largest possible deviation of the fine structure constant over much of the age of the universe is of order 10 < sup >− 5 </ sup >.

For natural numbers ( taken to include 0 ) n and k, the binomial coefficient can be defined as the coefficient of the monomial X < sup > k </ sup > in the expansion of.