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:

x = ( c + ( c ^ 2-4 * k )^( 1 / 2 ))/( 2 * exp ( t *( c / 2-( c ^ 2-4 * k )^( 1 / 2 )/ 2 ))*( c ^ 2-4 * k )^( 1 / 2 )) -

: B + c < sub > 1 </ sub > · i < sub > 1 </ sub > + c < sub > 2 </ sub > · i < sub > 2 </ sub > + … + c < sub > k </ sub > · i < sub > k </ sub >.

The coefficients c < sub > k </ sub > must be chosen so that every valid index tuple maps to the address of a distinct element.

The addressing formula is completely defined by the dimension d, the base address B, and the increments c < sub > 1 </ sub >, c < sub > 2 </ sub >, …, c < sub > k </ sub >.

( c ) Ligeantia localis, by operation of law, when a friendly alien enters the country, because so long as they are in the country they are within the Sovereign's protection, therefore they owe the Sovereign a local obedience or allegiance ( R v Cowle ( 1759 ) 2 Burr 834 ; Low v Routledge ( 1865 ) 1 Ch App 42 ; Re Johnson, Roberts v Attorney-General 1 Ch 821 ; Tingley v Muller 2 Ch 144 ; Rodriguez v Speyer AC 59 ; Johnstone v Pedlar 2 AC 262 ; R v Tucker ( 1694 ) Show Parl Cas 186 ; R v Keyn ( 1876 ) 2 Ex D 63 ; Re Stepney Election Petn, Isaacson v Durant ( 1886 ) 17 QBD 54 );

In more general sense, each column is treated as a polynomial over GF ( 2 < sup > 8 </ sup >) and is then multiplied modulo x < sup > 4 </ sup >+ 1 with a fixed polynomial c ( x ) = 0x03 · x < sup > 3 </ sup > + x < sup > 2 </ sup > + x + 0x02.

; 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 ).

; Attacks on UN Staff workers: Section 1 ( 2 )( a ) of the United Nations Personnel Act 1997 ( c. 13 ) makes provision for assault causing injury, and section 1 ( 2 )( b ) makes provision for assault occasioning actual bodily harm, on UN staff.

: Section 16 ( 1 )( a ) of the Customs and Excise Management Act 1979 ( c. 2 ) provided that it was an offence to, amongst other things, assault any person duly engaged in the performance of any duty or the exercise of any power imposed or conferred on him by or under any enactment relating to an assigned matter, or any person acting in his aid.

; Racially or religiously aggravated common assault: This offence is created by section 29 ( 1 )( c ) of the Crime and Disorder Act 1998.

; Assault on a prison custody officer: This offence is created by section 90 ( 1 ) of the Criminal Justice Act 1991 ( c. 53 ).

; Assault on a secure training centre custody officer: This offence is created by section 13 ( 1 ) of the Criminal Justice and Public Order Act 1994 ( c. 33 ).

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.

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

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.

As the speed of light in meters per second ( c < sub > 0 </ sub >) is fixed in the International System of Units, this measurement of the speed of light in AU / d ( c < sub > AU </ sub >) also determines the value of the astronomical unit in meters ( A ):

Alain de Lille ( or Alanus ab Insulis ) ( c. 1116 / 1117 – 1202 / 1203 ), French theologian and poet, was born in Lille, some years before 1128.

Roman aureus depicting Agrippina and Claudius, c. 50 / 54

Ahmad Shah Durrani ( c. 1722 – 1773 ) ( Pashto /), also known as Ahmad Shāh Abdālī ( Pashto / Persian: احمد شاه ابدالي ) and born as Ahmad < u > Kh </ u > ān, was the founder of the Durrani Empire ( Afghan Empire ) in 1747 and is regarded by many to be the founder of the modern state of Afghanistan .</ poem >

* Alexander V of Imereti ( c. 1703 / 4 – 1752 )

Amalasuntha ( also known as Amalasuentha, Amalaswintha, Amalasuintha, Amalswinthe or Amalasontha ) ( c. 495 – 30 April 534 / 535 ) was a queen of the Ostrogoths from 526 to 534.

# Héloise / Helvis of Lusignan ( c. 1190 – 1216 – 1219, 1216 / 1219 or c. 1217 ), married firstly c. 1205 Eudes de Dampierre sur Salon, Lord of Chargey-le-Grey, div.

Aeschylus (, Aiskhulos ; c. 525 / 524 BC – c. 456 / 455 BC ) was the first of the three ancient Greek tragedians whose plays can still be read or performed, the others being Sophocles and Euripides.

AIX / 370 was IBM's third attempt to offer Unix-like functionality for their mainframe line, specifically the System / 370 ( the prior versions were a TSS / 370 based Unix system developed jointly with AT & T c. 1980, and VM / IX a VM / 370 based system developed jointly with Interactive Systems Corporation c. 1984 ).

The frequency and wavelength of the gamma rays indicate that each carries 511 keV of energy ( i. e., the rest mass of an electron multiplied by c < sup > 2 </ sup >).

The Celsus Library in Ephesus ( 2. c. AD ) is a good example.

The slope field of F ( x ) = ( x < sup > 3 </ sup >/ 3 )-( x < sup > 2 </ sup >/ 2 )- x + c, showing three of the infinitely many solutions that can be produced by varying the Constant of integration | arbitrary constant C.

Finding matching upper and lower bounds for the complexity of a k-level remains a major open problem in discrete geometry ; the best upper bound is O ( nk < sup > 1 / 3 </ sup >), while the best lower bound is Ω ( n exp ( c ( logk )< sup > 1 / 2 </ sup >)).

* q-chirplets ( quadratic chirplets ) of the form exp + bt + c ) or, in general, some kind of quadratically varying exponent, linear swept wave packet, or the like.

Since in oral languages the elements of sound are for the most part produced linearly in time ( that is, in a word like cat the a sound comes after the c sound, and the t sound comes after that ), they can generally be easily written in a linear ( one-dimensional ) writing system such as an alphabet.

The second series ( p, t, c, etc.

For example, the word cat consists of three letters ⟨ c ⟩, ⟨ a ⟩, and ⟨ t ⟩, in which ⟨ c ⟩ represents the sound, ⟨ a ⟩ the sound, and ⟨ t ⟩ the sound.

In this equation, is the instantaneous frequency of the oscillator and is the frequency deviation, which represents the maximum shift away from f < sub > c </ sub > in one direction, assuming x < sub > m </ sub >( t ) is limited to the range ± 1.

Let t and s ( t > s ) be the sides of the two inscribed squares in a right triangle with hypotenuse c. Then s < sup > 2 </ sup > equals half the harmonic mean of c < sup > 2 </ sup > and t < sup > 2 </ sup >.

Tests and measures include, but are not limited to, those that assess: a. Aerobic Capacity / Endurance, b. Anthropometric Characteristics, c. Arousal, Attention, and Cognition, d. Assistive and Adaptive Devices, e. Circulation ( Arterial, Venous, Lymphatic ), f. Cranial and Peripheral Nerve Integrity, g. Environmental, Home, and Work ( Job / School / Play ) Barriers, h. Ergonomics and Body Mechanics, i. Gait, Locomotion, and Balance, j. Integumentary Integrity, k. Joint Integrity and Mobility, l. Motor Function ( Motor Control and Motor Learning ), m. Muscle Performance ( including Strength, Power, and Endurance ), n. Neuromotor Development and Sensory Integration, o. Orthotic, Protective, and Supportive Devices, p. Pain, q. Posture, r. Prosthetic Requirements, s. Range of Motion ( including Muscle Length ), t. Reflex Integrity, u. Self-Care and Home Management ( including activities of daily living and instrumental activities of daily living ), v. Sensory Integrity, w. Ventilation and Respiration / Gas Exchange, x.

A pre Gaelic interpretation of the name as Athfocla meaning ' north pass ' or ' north way ', as in gateway to Moray, suggests that the Gaelic Athfotla may be a Gaelic misreading of the miniscule c for t.

The top two rows ' columns contain up ( u ) and down ( d ) quarks, charm ( c ) and strange ( s ) quarks, top ( t ) and bottom ( b ) quarks, and photon ( γ ) and gluon ( g ), respectively.

*( c ) It may be granted upon condition, cujus est dare, ejus est disponere, and this denization of an alien may come about three ways: by Parliament ; by letters patent, which was the usual manner ; and by conquest.

*( c. 75 ) War of the Jews, or The Jewish War, or Jewish Wars, or History of the Jewish War ( commonly abbreviated JW, BJ or War )

*( c. 94 ) Antiquities of the Jews, or Jewish Antiquities, or Antiquities of the Jews / Jewish Archeology ( frequently abbreviated AJ, AotJ or Ant.

*( c. 97 ) Flavius Josephus Against Apion, or Against Apion, or Contra Apionem, or Against the Greeks, on the antiquity of the Jewish people ( usually abbreviated CA )

*( c. 99 ) The Life of Flavius Josephus, or Autobiography of Flavius Josephus ( abbreviated Life or Vita )

*( c ) Suppress insurrection and act in aid of civil authorities to restore order when called upon to do so by the d. President but subject to such conditions as may be prescribed by an Act of the National Assembly.

*( c ) the arbitrariness, relativity, or subjectivity of moral values,

*( c ) floating or drifting through darkness, sometimes described as a tunnel.

*( 2 ) Isabel of Gloucester, first wife ( marriage annulled ) of King John of England ( c. 1217 ), without issue.

*( 3 ) Princess Margaret of Scotland, daughter of King William I of Scotland and Ermengarde de Beaumont ( 1221 ), by whom he had a daughter, Margaret ( c. 1222-1237 ), called " Megotta ", who married Richard de Clare, Earl of Gloucester, but had no issue.

*( Daughter ) Tudor ( b. c. 1435 ).

*( c ) The order was not manifestly unlawful.

In other words, a characteristic class associates to any principal G-bundle P → X an element c ( P ) in H *( X ) such that, if f: Y → X is a continuous map, then c ( f * P )

*( c ) on the ground that the young person in respect of whom the review is to be made has contravened a condition of an order made under paragraph 42 ( 2 )( k ) or ( l ) without reasonable excuse ;

*( c ) he / she is a person who is otherwise qualified to be elected a Member of Parliament, except that the disqualifications set out in paragraphs ( c ), ( d ), and ( e ) of clause ( 2 ) of article 94 of this Constitution shall not be removed, in respect of any such person, by a presidential pardon or by the lapse of time as provided for in clause ( 5 ) of that article.