With the formula C < sub > n </ sub > H < sub > 2n + 2 </ sub >, Alkanes belong to a homologous series of organic compounds in which the members differ by a constant relative molecular mass of 14.

The number of carbon atoms is used to define the size of the alkane ( e. g., C < sub > 2 </ sub >- alkane ).

It has only been generated by oxidation of stibine ( SbH < sub > 3 </ sub >) at − 90 ° C.

An important class of alcohols are the simple acyclic alcohols, the general formula for which is C < sub > n </ sub > H < sub > 2n + 1 </ sub > OH.

Of those, ethanol ( C < sub > 2 </ sub > H < sub > 5 </ sub > OH ) is the type of alcohol found in alcoholic beverages, and in common speech the word alcohol refers specifically to ethanol.

The automorphism group of an object X in a category C is denoted Aut < sub > C </ sub >( X ), or simply Aut ( X ) if the category is clear from context.

Benzene, C < sub > 6 </ sub > H < sub > 6 </ sub >, is the simplest aromatic hydrocarbon and was recognized as the first aromatic hydrocarbon, with the nature of its bonding first being recognized by Friedrich August Kekulé von Stradonitz in the 19th century.

This is seen in, for example, phenol ( C < sub > 6 </ sub > H < sub > 5 </ sub >- OH ), which is acidic at the hydroxyl ( OH ), since a charge on this oxygen ( alkoxide-O < sup >–</ sup >) is partially delocalized into the benzene ring.

Terpenoids, produced by conifers and angiosperms, consist of ring structures formed of isoprene ( C < sub > 5 </ sub > H < sub > 8 </ sub >) units.

"< ref >, From the Gracchi to Nero: History of Rome from 133 B. C. to A. D. 68, London, 1982 < sup > 5 </ sup >, p. 303 .</ ref >

Anaximenes () of Miletus ( b. 585 BCE, d. 528 BCE ) was an Archaic Greek Pre-Socratic philosopher active in the latter half of the 6th century BC .< ref name =" lindberg28 "> Lindberg, David C. “ The Greeks and the Cosmos .” < u > The Beginnings of Western Science </ u >.

115 .</ ref > Anaximenes, like others in his school of thought, practiced material monism .< ref name =" lindberg29 "> Lindberg, David C. “ The Greeks and the Cosmos .” < u > The Beginnings of Western Science </ u >.

where n < sub > d </ sub >, n < sub > F </ sub > and n < sub > C </ sub > are the refractive indices of the material at the wavelengths of the Fraunhofer d -, F-and C-spectral lines ( 587. 6 nm, 486. 1 nm and 656. 3 nm respectively ).

* Pepto-Bismol – C < sub > 7 </ sub > H < sub > 5 </ sub > BiO < sub > 4 </ sub >

The simplest acyclic alkenes, with only one double bond and no other functional groups, form an homologous series of hydrocarbons with the general formula C < sub > n </ sub > H < sub > 2n </ sub >.

Alkynes are hydrocarbons that have a triple bond between two carbon atoms, with the formula C < sub > n </ sub > H < sub > 2n-2 </ sub >.

The simplest type of carbohydrate is a monosaccharide, which among other properties contains carbon, hydrogen, and oxygen, mostly in a ratio of 1: 2: 1 ( generalized formula C < sub > n </ sub > H < sub > 2n </ sub > O < sub > n </ sub >, where n is at least 3 ).

which takes as input a key K of bit length k, called the key size, and a bit string P of length n, called the block size, and returns a string C of n bits.

* Take the Banach space R < sup > n </ sup > ( or C < sup > n </ sup >) with norm || x ||

Alternative notations include C ( n, k ), < sub > n </ sub > C < sub > k </ sub >, < sup > n </ sup > C < sub > k </ sub >, C < sup > k </ sup >< sub style =" position: relative ; left :-. 5em ;"> n </ sub >, C < sup > n </ sup >< sub style =" position: relative ; left :-. 5em ;"> k </ sub >, in all of which the C stands for combinations or choices.

Church, Ministry and Sacraments in the New Testament Paternoster Press: 1993, p. 92f </ ref > Moving on to Ignatius of Antioch, Barrett states that here we find a sharp distinction between ' presbyter ' and ' bishop ': the latter now stands out as " an isolated figure " who is to be obeyed and without whom it is not lawful to baptise or hold a love-feast .< Barrett, C. K.

The Secretary of the Treasury, upon the concurrence of the Secretary of State, is authorized and directed, out of the sum covered into the Yugoslav Claims Fund pursuant to subsection ( B ) of this section, after completing the payments of such funds pursuant to subsection ( C ) of this Section, to make payment of the balance of any sum remaining in such fund to the Government of the Federal People's Republic of Yugoslavia to the extent required under Article 1 ( C ) of the Yugoslav Claims Agreement of 1948.

It is agreed that any goods delivered or services rendered after the date of this agreement for projects within categories A, B, and C under paragraph 2 above which may later be approved by the United States will be eligible for financing from currency granted or loaned to the Government of India.

With regard to the rupees accruing to uses indicated under Article 2, of the Agreement, the understanding of the Government of the United States of America, with respect to both paragraphs 1 ( B ) and 1 ( C ) of Article 2, is as follows: ( 1 )

The `` C '' club is composed of the men of the College who have won an official letter in Carleton athletics.

Bar `` C '' is 2-3/4'' '' long.

If A is the major axis of an ellipsoid and B and C are the other two axes, the radius of curvature in the ab plane at the end of the axis Af, and the difference in pressure along the A and B axes is Af.

Since the circulating thyroid hormones are the amino acids thyroxine and tri-iodothyronine ( cf. Section C ), it is clear that some mechanism must exist in the thyroid gland for their release from proteins before secretion.

( C ) if Af is the operator induced on Af by T, then the minimal polynomial for Af is Af.

Consider a simple, closed, plane curve C which is a real-analytic image of the unit circle, and which is given by Af.

On C, from the point P at Af to the point Q at Af, we construct the chord, and upon the chord as a side erect a square in such a way that as S approaches zero the square is inside C.

If the vertex is at Af, and if the interior of C is on the left as one moves in the direction of increasing t, then every such corner can be found from the curve obtained by rotating C clockwise through 90-degrees about the vertex.

With the vertex at Af in the C-plane we assume that Af is the parametric location on C of an ordinary intersection Q between C and Af.

But Af is just the curve Af translated without rotation through a small arc, for Af is always obtained by rotating C through exactly 90-degrees.

Thus if E is sufficiently small, there can be only one intersection of C and Af near Q, for if there were more than one intersection for every E then the difference between C and Af near Q would not be a monotone function.

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.

A third twofold axis of rotation passes through the C = C = C bonds, and there is a mirror plane passing through both CH < sub > 2 </ sub > planes.

*< cite id = stemorr84 > F R Stephenson, L V Morrison ( 1984 ), " Long-term changes in the rotation of the earth – 700 B. C.

In the above diagram for the root Q, the RS is C and the OS is P. The pseudo code for the rotation is:

In 1930 he proposed a σ / π separation theory to explain the restricted rotation of alkenes ( compounds containing a C = C double bond ).

In 1901 the American inventor C. Michalke patented the selsyn, a circuit for sending synchronized rotation information over a distance.

For example, D-glucose forms an alpha crystal that has specific rotation of + 112 ° and melting point of 146 ° C, as well as a beta crystal that has specific rotation of + 19 ° and melting point of 150 ° C.

where is the linear velocity of a point in the rotating object ( in units of distance / minute ) and C refers to the circumference of the circle that this measuring point performs around the axis of rotation.

The band has also recently been placed in a three-year rotation to represent the State of Arkansas in the National Independence Day Parade in Washington, D. C.

where A, B, C and D are arbitrary functions of and M, N are the rotation generators and boost generators, respectively.

Examples A and C also have 90 ° rotations, although it requires a little more ingenuity to find the correct centre of rotation for C.

It can be used to establish barriers to internal rotation such as that associated with the rotation of the CH < sub > 3 </ sub > group relative to C < sub > 6 </ sub > H < sub > 5 </ sub > Cl in chlorotoluene ( C < sub > 7 </ sub > H < sub > 8 </ sub > Cl ), for example.

For motion in a circle of radius r, the circumference of the circle is C = 2π r. If the period for one rotation is T, the angular rate of rotation, also known as angular velocity, ω is: