* Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i. e. S ⊆ Q ⊆ T. If there is a unique number c such that a ( S ) ≤ c ≤ a ( T ) for all such step regions S and T, then a ( Q )

Theorem: If K < sub > 1 </ sub > and K < sub > 2 </ sub > are the complexity functions relative to description languages L < sub > 1 </ sub > and L < sub > 2 </ sub >, then there is a constant c – which depends only on the languages L < sub > 1 </ sub > and L < sub > 2 </ sub > chosen – such that

If a ) testimonies conflict one another, b ) there are a small number of witnesses, c ) the speaker has no integrity, d ) the speaker is overly hesitant or bold, or e ) the speaker is known to have motives for lying, then the epistemologist has reason to be skeptical of the speaker's claims.

* If the operation is associative, ( ab ) c = a ( bc ), then the value depends only on the tuple ( a, b, c ).

If c is another common divisor of a and b, then c also divides as + bt

If the user pressed keys 1 + 2 = 3 simultaneously the letter " c " appeared.

If a and b are coprime and a divides the product bc, then a divides c. This can be viewed as a generalization of Euclid's lemma.

If the weight of the roadway per unit length is w and the weight of the cable and the wire supporting the bridge is negligible in comparison, then the weight on the cable from c to r is wx where x is the horizontal distance between c to r. Proceeding as before gives the differential equation

If < math > c ^ 2 < 4km </ math > there are two complex conjugate roots a ± ib, and the solution ( with the above boundary conditions ) will look like this:

Linear Diophantine equations take the form ax + by = c. If c is the greatest common divisor of a and b then this is Bézout's identity, and the equation has an infinite number of solutions.

It follows that there are also infinitely many solutions if c is a multiple of the greatest common divisor of a and b. If c is not a multiple of the greatest common divisor of a and b, then the Diophantine equation ax + by = c has no solutions.

:“ If an integer n is greater than 2, then has no solutions in non-zero integers a, b, and c. I have a truly marvelous proof of this proposition which this margin is too narrow to contain .”

* If < math > a < b </ math > and < math > b < c </ math > then < math > a < c </ math >;

* If < math > a < b </ math > and < math > c < d </ math > then < math > a + c < b + d </ math >;

* If < math > a < b </ math > and < math > c < 0 </ math > then < math > bc < ac </ math >.

If the baseband data signal ( the message ) to be transmitted is and the sinusoidal carrier is, where f < sub > c </ sub > is the carrier's base frequency and A < sub > c </ sub > is the carrier's amplitude, the modulator combines the carrier with the baseband data signal to get the transmitted signal:

; Attacks on internationally protected persons: Section 1 ( 1 )( a ) of the Internationally Protected Persons Act 1978 ( c. 17 ) makes provision for assault occasioning actual bodily harm or causing injury on " protected persons " ( including Heads of State ).

" Migration, Radicalism, and State Security: Legislative Initiatives in the Canada and the United States c. 1794 – 1804 " in Studies in American Political Development, Volume 16, Issue 1, April 2002, 48 – 60

* c. 400 BC: Two ornately decorated liubo gameboards from a royal tomb of the State of Zhongshan in China.

Image: State House, Concord, NH. jpg | State House c. 1906

* 1640 – Miguel de Vasconcelos, last Secretary of State of the Kingdom of Portugal, during the Iberian Union ( b. c. 1590 )

William Cecil, 1st Baron Burghley, the Queen's Secretary of State and Oxford's father-in-law, c. 1571.

According to professor A. V. Dicey in An Introduction to the Study of the Law of the Constitution, the essential features of a federal constitution are: a ) A written supreme constitution in order to prevent disputes between the jurisdictions of the Federal and State authorities ; b ) A distribution of power between the Federal and State governments and c ) A Supreme Court vested with the power to interpret the Constitution and enforce the law of the land remaining independent of both the executive and legislative branches.

The immediate followers of Pretorius now became extremely incensed at the action of the Lydenburg party, and a mass meeting was held at Potchefstroom ( October 1860 ), where it was resolved that: ( a ) the volksraad no longer enjoyed its confidence ; ( b ) that Pretorius should remain president of the South African Republic, and have a year's leave of absence to bring about union with the Free State ; ( c ) that Schoeman should act as president during the absence of Pretorius ; ( d ) that before the return of Pretorius to resume his duties a new volksraad should be elected.

Old State Department building in Washington, D. C., c. 1865

* c. 1030 BC — The Belknap Volcano Erupts in The State of Oregon.

* c. 1348 BC – 1327 BC: State ship, detail of a tempera fascimile by Charles K. Wilkinson of a cow painting in the tomb of the governor of Nubia Amenhotep Huy in Qurnet Murai was made.

* Carl Sherman ( c. 1891 – 1956 ), New York State Attorney General 1923 – 24

* Egburt E. Woodbury ( c. 1860 – 1920 ), New York State Attorney General 1915 – 1917

Gateway University Research Park is a 501 ( c ) 3 not-for-profit entity created to manage and operate the joint collaboration between North Carolina A & T State University and UNCG for the purposes of supporting research and economic development within the Triad.

* John J. Kennedy ( New York State Treasurer ) ( c. 1857 – 1914 ), politician

* The Robert O. Lawton Distinguished Professorship, Florida State University ' c highest award.

The Gentoo Foundation is a 501 ( c )( 6 ) non-profit foundation, registered in the State of New Mexico.

* Bill Smith ( New York politician ) ( c. 1914 – 2010 ), member of the New York State Senate, a. k. a. Bill " Cadillac " Smith

The Committee notes with concern the restrictive interpretation made by the State party of its obligations under the Covenant, as a result in particular of ( a ) its position that the Covenant does not apply with respect to individuals under its jurisdiction but outside its territory, nor in time of war, despite the contrary opinions and established jurisprudence of the Committee and the International Court of Justice ; ( b ) its failure to take fully into consideration its obligation under the Covenant not only to respect, but also to ensure the rights prescribed by the Covenant ; and ( c ) its restrictive approach to some substantive provisions of the Covenant, which is not in conformity with the interpretation made by the Committee before and after the State party ’ s ratification of the Covenant.

The State party should in particular ( a ) acknowledge the applicability of the Covenant with respect to individuals under its jurisdiction but outside its territory, as well as its applicability in time of war ; ( b ) take positive steps, when necessary, to ensure the full implementation of all rights prescribed by the Covenant ; and ( c ) consider in good faith the interpretation of the Covenant provided by the Committee pursuant to its mandate.

Image: State Street from Market Square, Newburyport, MA. jpg | State Street c. 1906.

under secction 7 ( 1 )( a ), but that section has been superseded by section 66 ( 1 ) of the Police ( Northern Ireland ) Act 1998 ( c. 32 ) which now provides that it is an offence for a person to, amongst other things, assault a constable in the execution of his duty, or a person assisting a constable in the execution of his duty.

* A landscape pen-and-ink drawing by Giovanni Francesco Grimaldi, c 1650, to which Algardi has added figures of the Holy Family ( Getty Museum )

Thus, if a two-dimensional array has rows and columns indexed from 1 to 10 and 1 to 20, respectively, then replacing B by B + c < sub > 1 </ sub >-− 3 c < sub > 1 </ sub > will cause them to be renumbered from 0 through 9 and 4 through 23, respectively.

In the first case, ƒ ( x ) has y = c as asymptote when x tends to −∞, and in the second that ƒ ( x ) has y = c as an asymptote as x tends to +∞

* Senet has been found in Predynastic and First Dynasty burials of Egypt, c. 3500 BC and 3100 BC respectively.

The dating of the events in the poem has been confirmed by archaeological excavations of the barrows indicated by Snorri Sturluson and by Swedish tradition as the graves of Ohthere ( dated to c. 530 ) and his son Eadgils ( dated to c. 575 ) in Uppland, Sweden.

The Roman Lucretius's scientific poem " On the Nature of Things " ( c. 60 BC ) has a remarkable description of Brownian motion of dust particles.

Usually, only the second and fourth line of a quatrain are rhymed ( in the scheme a, b, c, b ), which has been taken to suggest that, originally, ballads consisted of couplets ( two lines ) of rhymed verse, each of 14 syllables.

It has already been indicated, by reference to Matins, Lauds, & c., that not only each day, but each part of the day, has its own office, the day being divided into liturgical " hours.

The Greek Hippodamus of Miletus ( c. 407 BC ) has been dubbed the " Father of City Planning " for his design of Miletus ; the Hippodamian, or grid plan, was the basis for subsequent Greek and Roman cities.

The second set – from the later Shang or Yin ( 殷 ) period – is at Anyang, in modern-day Henan, which has been confirmed as the last of the Shang's nine capitals ( c. 1300 – 1046 BC ).

Urukagina ( reigned c. 2380 BC – 2360 BC, short chronology ) had an early code that has not survived ; a later king, Ur-Nammu, left the earliest extant written law-system, the Code of Ur-Nammu ( c. 2100-2050 BC ), which prescribed a formal system of penalties for specific cases in 57 articles.

* The cofinality of the real numbers with their usual ordering is ℵ < sub > 0 </ sub >, since N is cofinal in R. The usual ordering of R is not order isomorphic to c, the cardinality of the real numbers, which has cofinality strictly greater than ℵ < sub > 0 </ sub >.

2nd c. BC ), whose reliability has been positively reevaluated by recent scholarship, described two advanced forms of the gastraphetes, which he credits to Zopyros, an engineer from southern Italy.

2nd c. BC ), whose reliability has been positively reevaluated by recent scholarship, described two advanced forms of the gastraphetes, which he credits to Zopyros, an engineer from southern Italy.

( c ) That it has accorded the insurgents recognition as belligerents for the purposes only of the present Convention ; or