If Greek citizenship was an " emancipation from the world of things ", the Roman sense increasingly reflected the fact that citizens could act upon material things as well as other citizens, in the sense of buying or selling property, possessions, titles, goods.

If one follows Polybius, the course of events was the following: Despite the Carthaginian pre-war naval advantage, the Roman landing was virtually unopposed.

* If medieval glass has flowed perceptibly, then ancient Roman and Egyptian objects should have flowed proportionately more — but this is not observed.

If later, hostile historians can be believed, Elagabalus showed a disregard for Roman religious traditions and sexual taboos.

If the king had joined, its resolutions would have received the sanction of the law ; but he refused, and approached the newly formed Roman Catholic League of lords, whose members pledged themselves to support the king, the Catholic Church, and the Council.

If an object ’ s weight was equivalent to 1728 carob seeds, then the object was said to weigh one Roman pound.

If, on the other hand, the object ’ s weight was equivalent to 144 carob seeds then the object was said to weigh one Roman ounce ( uncia ).

The Code of Canon Law 332 § 2 states, " If it happens that the Roman Pontiff resigns his office, it is required for validity that the resignation is made freely and properly manifested but not that it is accepted by anyone.

If anyone says that it is not from the institution of Christ the Lord Himself, or by divine right that the blessed Peter has perpetual successors in the primacy over the universal Church, or that the Roman Pontiff is not the successor of blessed Peter in the same primacy, let him be anathema.

If anyone thus speaks, that the Roman Pontiff has only the office of inspection or direction, but not the full and supreme power of jurisdiction over the universal Church, not only in things which pertain to faith and morals, but also in those which pertain to the discipline and government of the Church spread over the whole world ; or, that he possesses only the more important parts, but not the whole plenitude of this supreme power ; or that this power of his is not ordinary and immediate, or over the churches altogether and individually, and over the pastors and the faithful altogether and individually: let him be anathema.

Yet so costly was the Roman victory that the Emperor Hadrian, when reporting to the Roman Senate, did not see fit to begin with the customary greeting " If you and your children are well, all is well.

The last question asked was " If the Roman numeral ' X ' is halved, the result can be represented by which other Roman numeral?

If certain quantum inequalities conjectured by Ford and Roman hold, then the energy requirements for some warp drives may be absurdly gigantic as well as negative, for example the energy equivalent of − 10 < sup > 64 </ sup > kg might be required to transport a small spaceship across the Milky Way galaxy.

If similar amounts of land have been lost on other parts of the Solent shore, the Solent was likely much narrower in Roman times, and it is possible to believe Diodorus Siculus's report that in his time men could wade to the Isle of Wight at low tide.

If everything worked well, Gelimer's 7, 000-man main body would follow Gibamund around the Roman left flank and cut off their retreat.

If the palace was designed for Lucullus, then it may have only been in use for a few years, for the Roman historian Suetonius records that Lucullus was executed by the delusional emperor Domitian in or shortly after AD 93.

The practice of magic was banned in the Roman world, and the Codex Theodosianus states: If any wizard therefore or person imbued with magical contamination who is called by custom of the people a magician ... should be apprehended in my retinue, or in that of the Caesar, he shall not escape punishment and torture by the protection of his rank.

If an archbishop resigns his see without being transferred to another, as in the case of retirement or assignment to head a department of the Roman Curia, the word " emeritus " is added to his former title, and he is called Archbishop Emeritus of his former see.

If Byzantine literature is the expression of the intellectual life of the Byzantine Greeks during the Christian Middle Ages, then it is a multiform organism, combining Greek and Christian civilization on the common foundation of the Roman political system, set in the intellectual and ethnographic atmosphere of the Near East.

If Easter Sunday or Easter Monday falls on 25 April, the Greater Litanies, which in the pre-1970 form of the Roman Rite are on that day, are transferred to the following Tuesday.

If there were any trace of doubt that the Roman villas of Aquitaine evolved into fortified self-contained châteaux, the wine-producing châteaux would dispel it.

James J Greene writes on the subject: “ If one of the seminally powerful myths in the cultural memory of our past is Aeneas ' rejection of his African queen in order to go on and found the Roman empire, than it is surely significant that Shakespeare's ... depicts precisely and quite deliberately the opposite course of action from that celebrated by Virgil.

Echoing Senator Roman Hruska's famous 1970 speech in defense of Harrold Carswell, Coats said to CNN regarding the nomination: " If a great intellectual powerhouse is a qualification to be a member of the court and represent the American people and the wishes of the American people and to interpret the Constitution, then I think we have a court so skewed on the intellectual side that we may not be getting representation of America as a whole.

If they opted for illusion, it could only be illusion per se -- an illusion of depth, and of relief, so general and abstracted as to exclude the representation of individual objects.

If, on the other hand, they opted for representation, it had to be representation per se -- representation as image pure and simple, without connotations ( at least, without more than schematic ones ) of the three-dimensional space in which the objects represented originally existed.

If the content of faith is to be presented today in a form that can be `` understanded of the people '' -- and this, it must not be forgotten, is one of the goals of the perennial theological task -- there is no other choice but to abandon completely a mythological manner of representation.

If a defendant has been convicted and can prove that his lawyer did not adequately handle his case and that there is a reasonable probability that the result of the trial would have been different had the lawyer given competent representation, he is entitled to a new trial.

If we wish to implement this filter as a digital filter, we can apply the bilinear transform by substituting for the formula above ; after some reworking, we get the following filter representation:

Likewise, a functor from G to the category of vector spaces, Vect < sub > K </ sub >, is a linear representation of G. In general, a functor G → C can be considered as an " action " of G on an object in the category C. If C is a group, then this action is a group homomorphism.

If the object is a vector space we have a linear representation.

If the field of scalars of the vector space has characteristic p, and if p divides the order of the group, then this is called modular representation theory ; this special case has very different properties.

* If G is a topological group and V is a topological vector space, a continuous representation of G on V is a representation ρ such that the application defined by is continuous.

If so, the equivocation would be similar to the Vedic sandhi representation of intervocalic retroflex-ḍ-as-ḷ -.

* If the molecule has some symmetry, the degenerate atomic orbitals ( with the same atomic energy ) are grouped in linear combinations ( called symmetry-adapted atomic orbitals ( SO )), which belong to the representation of the symmetry group, so the wave functions that describe the group are known as symmetry-adapted linear combinations ( SALC ).

If we have a Hamiltonian with a space representation, say

If one uses a composite representation of an " overall " reaction, some may be rational fractions.

If n is odd, this representation is irreducible.

If this happens in an even dimension, the Majorana spinor representation will sometimes decompose into two Majorana – Weyl spinor representations.

If k is a field and G is a group, then a group representation of G is a left module over the group ring k. The simple k modules are also known as irreducible representations.

If the positive axis is also directed rightward, then F is represented by the vector 15 N, and if positive points leftward, then the vector for F is − 15 N. In either case, the magnitude of the vector is 15 N. Likewise, the vector representation of a displacement Δs of 4 meters to the right would be 4 m or − 4 m, and its magnitude would be 4 m regardless.

If a member of the United States Army or Air Force earns multiple awards of the same medal, then instead of wearing a ribbon or medal for each award, he or she wears one metal representation of an " oak leaf cluster " attached to the appropriate ribbon for each subsequent award.

If an end user interaction with dates and times is required, the software will nearly always convert this internal number into a date and time representation that is comprehensible to humans.

If a mapping is available, presentation service data units are encapsulated into session protocol data units, and passed down the stack. This layer provides independence from data representation ( e. g., encryption ) by translating between application and network formats.

If they were to be fully counted as citizens, some sort of representation for apportionment of seats in Congress had to be determined.

If it finds a representation in miniature of the cover placed on the Code of Statutes of the City is still preserved in the Chapter Library of the Duomo of Monza.