Instead of focusing merely on the individual objects ( e. g., groups ) possessing a given structure, category theory emphasizes the morphisms – the structure-preserving mappings – between these objects ; by studying these morphisms, we are able to learn more about the structure of the objects.

Instead he merely dismissed Titus Petronius Secundus, and replaced him with a former commander, Casperius Aelianus.

Instead of using improved techniques to increase the productivity of the land, Honduran farmers have merely expanded the hectarage under cultivation to produce more crops — pushing their fields ever farther into the forests.

Instead of merely assuming that language influences the thought and behavior of its speakers ( after Humboldt and Sapir ) he looked at Native American languages and attempted to account for the ways in which differences in grammatical systems and language use affected the way their speakers perceived the world.

David prevents his associates from killing Saul, because doing so would prove the former no more worthy than the latter ; Instead, David merely steals Saul's spear and water jug.

Instead, the association that Kellermann found between gun ownership and victimization merely reflected the widely accepted notion that people who live in more dangerous circumstances are more likely to be murdered, but also were more likely to have acquired guns for self-protection prior to their death.

Instead of moving, a Bomb need merely explode to effect the destruction of both friendly pieces and enemy pieces adjacent to itself, and suiciding in the process.

Instead, many philosophers prefer to consider ' Thought Experiments ' to be merely the use of a hypothetical scenario to help understand the way things actually are.

Instead of merely thinking it was Holland, this version of Swamp Thing would actually be him.

Instead of merely acknowledging Gratian as his father ’ s successor, Valentinian I ’ s generals acclaimed the four-year old Valentinian augustus on 22 November 375.

Instead of merely publishing the award results in RPM, presentations would be made at a physical venue.

Instead of merely being assigned a value, ( like int = 10 ), objects have to be " constructed ".

Instead it should be based on " critical conscience ' – seriously thought out, conceptually mature, personal moral or religious beliefs held to be fundamentally incompatible ( that is, not merely inconsistent on the basis of selfish desires, whim or impulse ), for example, either with all laws requiring conscription for military service, or legal compulsion to fight for or financially support the State in a particular war.

Instead of merely narrating their political events, he examined their economics, their constitutions and their financial systems, and thus was able to throw new light on the development of the Old World.

Instead, Pryor merely removes all memory of the conflict.

Instead, courts presumed that, absent extreme hardship or unusual circumstances, each party had voluntarily agreed to perform their respective duties under the terms of the contract, and that the state merely served as the neutral enforcer of the parties ’ pre-existing voluntary agreement.

Instead, he sees the action as a perfectly logical one in terms of the notions of friendship which were prevalent at the time ; " the idealisation of male friendship as superior to male-female love ( which was considered not romantic or compassionate but merely lustful, hence inferior ) performs a project of cultural nostalgia, a stepping back from potentially more threatening social arrangements to a world of order, a world based on a ' gift ' economy of personal relations among male social equals rather than one based on a newer, less stable economy of emotional and economic risk.

Instead, they allowed him merely the choice between the ship's rail or the side of the trebuchet ( carried as deck-cargo to England ) as his execution site.

Instead, this relationship merely indicates that the large amounts of energy released in such reactions may exhibit enough mass that the mass-loss may be measured, when the released energy ( and its mass ) have been removed from the system.

Instead of being merely a bald Zentran, his head is cybernetically fused with his mobile space fortress.

Instead, it merely proposed general rules for the House to follow when debating bills ( rather than passing a special rule for each bill ), and was dissolved after proposing these general rules.

Instead, it is merely the best that could be done at the time.

Instead of killing his victims like he is ordered to, he merely uses Hades ( his orichalcum gun ) to stop them instead.

Instead of merely re-dubbing the film, Henry Rybnick and Edward Barrison planned on a radically altered Americanized version called The Volcano Monsters which was planned for a 1957 release.

Instead, Paul writes that Jesus " appeared to Peter, and then to the Twelve ".

Although he expressed concern over Li's totalizing discourse and millennial themes, Craig Burgdoff writes that such concerns are tempered by the fact that Falun Gong practice does not require unquestioning acceptance of all of Li's teachings, and there is no overt emphasis on dogmatically enforcing orthodoxy, Instead, Burgdoff writes that he found " practitioners to be engaged seriously in a highly disciplined spiritual and ethical practice.

Instead, Posnanski writes that there was a writer who did leave Snider off his ballot and write in Campanella's name twice, but it was in first and sixth positions, not first and fifth.

Instead of requiring the use of a traditional textbook, College Prep's math department writes its own practice problems and course materials, and conducts lessons primarily within a lecture and discursive format.

Instead, the writes are carefully ordered and flushed to disk at appropriate intervals so that the on-disk structure always remains consistent, no matter if the operation is interrupted.

Instead of duplicating metadata writes in a journal, soft updates work by tracking and enforcing metadata update dependencies.

Instead, Preston writes himself a check for $ 1, 000, 000 by printing it on his Apple Macintosh Performa 600 computer.

Instead of helping, he crouches unseen besides a rock and writes his music.

Instead, the instruction scheduling hardware ensures that only one instruction in any particular cycle writes a particular entry.

# Instead of side-stepping the mainstream, the pseudo-scientist attacks it head-on: The most revered scientist is Einstein so Gardner writes that Einstein is the most likely establishment figure to be attacked.

Instead, he writes complete novels which are then the basis for his filmmaking.

" Instead of bluntly saying, " I ran into an old flame in Central Park ", Paul writes around it, avoiding the clichés, painting the picture, showing us everything — the motives, the setting, the serendipity — except what we expect.

Eutropius, writing between 350 and 370, writes that Constantius merely sanctioned “ the act, rather than commanding it ”.

Similarly, a " History of England ", whose fifth edition was published in 1775, writes merely that new translation of the Bible, viz., that now in Use, was begun in 1607, and published in 1611.

As Kenneth Muir writes, " Macbeth has not a predisposition to murder ; he has merely an inordinate ambition that makes murder itself seem to be a lesser evil than failure to achieve the crown.

He writes in Book I, Chapter III, " A member of the assembly decides about future events, a juryman about past events: while those who merely decide on the orator's skill are observers.

Paul Davis, another modern historian who addresses both sides in the debate over whether or not this Battle truly determined the direction of history, as Watson claims, or merely was a relatively minor raid, as Cardini writes, says " whether Charles Martel saved Europe for Christianity is a matter of some debate.

" As a result, he writes, progress is defined as reaching a higher category: not doing a thing merely for survival, but for social reasons, and then, even better, just for fun.

In it, he writes that the sacrificial animals listed in verse 19 are merely symbols for the six enemies, with " man " representing pride.

When he writes, “ No truth value attaches to above, regarded as of merely structural and dramatic convenience ”, Beckett takes the emphasis away from Berkeley's maxim thus stressing the dramatic structure of the work.

" Anne Sunnucks writes that, " His devotion to teaching and his insistence on treating chess as merely a game was all that prevented him from becoming one of the leading players of the world.

He writes: " Our ordinary attitude of regarding ourselves as subject to an overarching system of moral relations, true ' in themselves ,' is ... either an out-and-out superstition, or else it must be treated as a merely provisional abstraction from that real Thinker ... to whom the existence of the universe is due ".

Ironically, in the story, Averroës casually observes some children play-acting, then later hears a traveler ineptly describe an actual theatrical performance he once saw in a distant land, but still fails to understand that the tragedies and comedies of which Aristotle writes are a kind of performance art, rather than merely literature.

In the preface, Lin writes that " novel is merely a story of ... how certain habits of living and ways of thinking are formed and how, above all, and women adjust themselves to the circumstances in this earthly life where men strive but gods rule.

He writes, "... Ramism might seem merely quaint, perhaps artistically lethal, but of no great importance.

There's a common misconception that the bookwriter merely writes the dialogue ; though the book does include the musical's spoken text, it is much more than that, defining and organizing the dramatic action of the entire piece, including action that is musicalized by the songwriter ( s ).

Joy Grant, in her biography of Harold Monro, writes that Lady Margaret " spoke well and to the point at the inauguration, hoping that the Society would ' never become facile and " popular ", to turn to a merely trivial gathering of persons amiably interested in the same ideal '.

Commenting on the verses related to amputation of the limbs of thieves, Maududi writes that " here and at other places the Qur ' an merely declares that sodomy is such a heinous sin ... that it is the duty of the Islamic State to eradicate this crime and ... punish those who are guilty of it.

“ A breath of will blows eternally ,” he writes “ through the universe of souls in the direction of the Right and Necessary .” ( 23 ) Historical and societal events are therefore not merely an expression of individual actions and thought but result of “ the will of all mind ” ( 23 ) and necessitated by nature: “ When there is something to be done, the world knows how to get it done .” ( 33 ) Still, these cosmic processes do not disenfranchise the individual, but are based on an individual desire to actualize one ’ s true will — a will that makes individual freedom essential: “ Liberty of the will (…) is the end and aim of this world .” ( 30 ) Individual will and purpose, though, have very strict, biological limitations.

Regarding the Catholic interpretation of Matthew 16: 18-19, Jaroslav Pelikan writes, " As Roman Catholic scholars now concede, the ancient Christian father Cyprian used it to prove the authority of the bishop — not merely of the Roman bishop, but of every bishop ," referring to Maurice Bevenot's work on St. Cyprian.

She writes, " I can't remember when I started calling these men the ' Kidney Stone Administrators ', but I do know that it became apparent to me early on that they were tolerated only because everyone at the FAA knew it was merely time before they would pass.

Madison writes that the new Constitution does not in principle enlarge the powers of the Federal government, but merely renders that government more effective in carrying out its existing duties:

J. Mordaunt Crook, the foremost authority on Burges, writes that, " once established, after twenty years ' preparation, his ' design language ' had merely to be applied, and he applied and re-applied the same vocabulary with increasing subtlety and gusto.