If the path is a simple path, with no repeated vertices or edges other than the starting and ending vertices, it may also be called a simple cycle, circuit, circle, or polygon ; see Cycle graph.

If Peggy does not know of a Hamiltonian Cycle in G, but somehow knew in advance what Victor would ask to see each round then she could cheat.

If through lack of issue, marriage or both, eventually only one person represents the claims of all the sisters, he or she can claim the dignity as a matter of right, and the abeyance is said to be terminated.

If the vector field represents the flow velocity of a moving fluid, then the curl is the circulation density of the fluid.

If F ( r ) represents gravity, it is a negative term proportional to 1 / r < sup > 2 </ sup >, so the net acceleration in r in the rotating frame depends on a difference of reciprocal square and reciprocal cube terms, which are in balance in a circular orbit but otherwise typically not.

If a party represents more than 4 states then such parties are considered as national parties.

If r represents an arbitrary element of R, f can be viewed as a right R-homomorphism so that, or f can also be viewed as a left R module homomorphism, where.

If negation is cyclic and "∨" is a " max operator ", then the law can be expressed in the object language by ( P ∨ ~ P ∨ ~~ P ∨ ... ∨ ~...~ P ), where "~...~" represents n − 1 negation signs and "∨ ... ∨" n − 1 disjunction signs.

If the alphabet consists of alternative symbols, each symbol represents a message consisting of N bits.

If λ represents wavelength and f represents frequency ( note, λf = c where c is the speed of light ), then z is defined by the equations:

If the secondary winding is made open-circuit, the current I < sub > 0 </ sub > taken by the magnetizing branch represents the transformer's no-load current.

If one of the two events represents the sending of a signal from one location and the second event represents the reception of the same signal at another location, then as long as the signal is moving at the speed of light or slower, the mathematics of simultaneity ensures that all reference frames agree that the transmission-event happened before the reception-event.

If the vector represents a directed distance or displacement from a point A to a point B ( see figure ), it can also be denoted as or < u > AB </ u >.

If the delta function is conceptualized as modeling an idealized point mass at 0, then δ ( A ) represents the mass contained in the set A.

If a signal is present, then this factor represents the decrease in signal to noise ratio incurred using the receiver system with a noise temperature of.

( If the object represents a static field then the parameter is ignored and may be.

( If the object represents a static method then the first parameter is ignored and may be.

If f represents a very small but intense source of heat, then the preceding integral can be approximated by the delta distribution, multiplied by the strength of the source.

) If the analemma is drawn in a diagram, tilted at the appropriate angle for an observer's latitude ( as described above ), and if a horizontal line is drawn to pass through the position of the Sun on the analemma on any given date ( interpolating between the date markings as necessary ), then at sunrise this line represents the horizon.

If the factor i were absent, the H matrix would be antihermitian and would have purely imaginary eigenvalues, which is not the traditional way quantum mechanics represents observable quantities like the energy.

If represents the number of dollars you have in chips after n tosses, with, then the sequence is a Markov process.

If represents the total value of the coins set on the table after n draws, with, then the sequence is not a Markov process.

Pettibon stated " If a white flag means surrender, a black flag represents anarchy.

If the number has a line above it, then it represents a unit fraction ( that is, would be ), whereas a line below the number indicates an integer.

Her performance as a lesbian mourning the loss of her longtime partner in the HBO series If These Walls Could Talk 2 earned her a Golden Globe for “ Best TV Series Supporting Actress ” in 2000, as well as earning an Emmy Award for Outstanding Supporting Actress in a TV Film or Miniseries.

May also appeared as " Golden Oldie " ( this time an Iron Man parody ) as well as " The Astonishing Aunt Ant " and " Auntie Freeze " in an issue of What If ?.

For looping the Golden Gate Bridge, for flying at low level down Market Street in San Francisco and for blowing the clothes off of an Oakland woman's clothesline, Bong was reprimanded by General George C. Kenney, commanding officer of the Fourth Air Force, who told him, " If you didn't want to fly down Market Street, I wouldn't have you in my Air Force, but you are not to do it any more and I mean what I say.

If both players were tied at $ 30 each, both played as a team in the Golden Medley.

If there was a tie at the end of the game, one last tune was played, and the first contestant to buzz-in and name that tune then went to the Golden Medley.

If L ( n ) is the length of the shortest Lucas chain for n, then Kutz has shown that most n do not have L < ( 1-ε ) log < sub > φ </ sub > n, where φ is the Golden ratio.

If we're a footnote in the history of pulp art and Golden Age comics, that'd be enough, that'd be great.

If no victor is decided in Golden Score, the match is decided based on a Referee's Decision.

If labor is the arm, capital is the blood – and each must care for the other – by using the Golden Rule as a guide.

* Speakers Push The Air b / w Bring It On Golden Pond & If You Hate Your Friends, You're Not Alone ( 2002, Dim Mak )

) If a malfunction occurred or both players tied they both get the " Golden Hot Dog ".

In Sketches by Boz, Charles Dickens writes in 1837 about a “ Toastmaster with stentorian lungs .” If there was a Golden Age for toasting it came between about 1880 to 1920 when toast books and pamphlets appeared, and prominent authors wrote and contributed their own for anthologies.

Other films produced or executive produced by Mr. Parkes include, the Men in Black series, The Kite Runner, Golden Globe-winning Sweeney Todd, Dinner for Schmucks, Gladiator, Minority Report, Catch Me If You Can, The Ring, The Terminal, Lemony Snicket's A Series of Unfortunate Events, Road to Perdition, A. I.

If you say no, your costs will remain low and your group will probably win the Golden Flyer award for the quarter.

If the combination was correct, the Golden Doors opened, and the couple won the house.

If the couple won the game, they or Eubanks would push the plunger, automatically opening the Golden Doors.

If this etymology is combined with the tradition reported by Geoffrey of Monmouth stating that Ambrosius Aurelianus ordered the building of Stonehenge – which is located within the parish of Amesbury ( and where Ambrosius was supposedly buried ) – and with the presence of an Iron Age hill fort also in that parish, then it may be tempting to connect Ambrosius with Amesbury.

If subdivision is necessary, periods of human technological development, such as the Mesolithic, Neolithic, and Bronze Age, are usually used.

If Yahweh was not a Canaanite god, this raises the question of where he originated and how he became the national god of Israel and Judah in Iron Age II ( 1000-586 ).

If this is so, the Sherden, pushed by Hittite expansionism of the Late Bronze Age and prompted by the famine that affected this region at the same time, may have been pushed to the Aegean islands, where shortage of space led them to seek adventure and expansion overseas.

If something happened outside current continuity ( such as the so-called " Imaginary Stories " that were a staple of DC's Silver Age publications ), it was explained away as happening on a parallel world, a premise not dissimilar to the company's current Elseworlds imprint.

* That Dangerous Age or If This Be Sin ( 1949 )

The group had a string of international hit singles including " I Ran ( So Far Away )", " Space Age Love Song ," " Wishing ( If I Had a Photograph of You )" and " The More You Live, the More You Love ", and became notable in the 1980s for their MTV video for the song " I Ran ( So Far Away )".

In 1743 he published the paper On the structure and diseases of articulating cartilages – which is often cited – especially the following sentence: “ If we consult the standard Chirurgical Writers from Hippocrates down to the present Age, we shall find, that an ulcerated Cartilage is universally allowed to be a very troublesome Disease ; that it admits of a Cure with more Difficulty than carious Bone ; and that, when destroyed, it is not recovered ”.

If his command had been destroyed, the Admiral in command maintains he would have had to " bomb New Chicago back to the Stone Age " to suppress the rebellion, to avoid detaining the Fleet in the system any longer than necessary.

If an application for disability pension is denied, an appeal can be made for reconsideration, and then to the Canada Pension Plan / Old Age Security Review Tribunals or Pension Appeals Boards ( POA ).

If the release is a classical artist making a non-classical album it should be entered in the appropriate genre category ( Pop, New Age, Jazz, etc.

If the competition were not so stiff, Boudinot might be ranked among the great scoundrels of the Gilded Age.

If authentic, the find reconfirms that the astronomical knowledge and abilities of the people of the European Bronze Age included close observation of the yearly course of the Sun, and the angle between its rising and setting points at summer and winter solstice.

For her performance in Lifetime Television's 1999 TV movie If You Believe, she was nominated for the Young Artist Award for Young Actress Age Ten or Under in the category of Best Performance in a TV Movie or Pilot.

He writes: "... the population of the country in the Roman-Byzantine period greatly exceeded that in the Iron Age ... If we accept Broshi's population estimates, which appear to be confirmed by the results of recent research, it follows that the estimates for the population during the Iron Age must be set at a lower figure.

He writes: "... the population of the country in the Roman-Byzantine period greatly exceeded that in the Iron Age ... If we accept Broshi's population estimates, which appear to be confirmed by the results of recent research, it follows that the estimates for the population during the Iron Age must be set at a lower figure.

Ultimately, De Geer hoped his studies of varves would explain the fundamental cause of Ice Ages-" If the last glaciation everywhere should show to be synchronous and the origin of the last Ice Age thus to be of a general nature, the assumption of a cosmic cause would scarcely be avoidable.

# " If Only "-Queens of The Stone Age

If and when completed, the entire work will consist of The Age of Huts ( 1974 – 1980 ), Tjanting ( 1979 – 1981 ), The Alphabet ( 1979 – 2004 ), and Universe ( 2005 -).