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, Tushratta merely writes,

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 he came to the conclusion that space and time are not discovered by humans to be objective features of the world, but are part of an unavoidable systematic framework for organizing our experiences.

Instead, the field of boron chemistry has grown enormously, and a systematic understanding of some of its complexities has now begun.

Instead of a full-scale riot, there were only systematic attacks on certain properties, many of them associated with John of Gaunt and / or the Hospitaller Order.

Instead, the charges against her focused on her systematic persecution of creative artists during the Cultural Revolution.

Instead, it seeks through systematic reflection to determine the essential properties and structures of experience.

Instead, some contemporary systematic theologians seek to use all available resources to ascertain the nature of God and God's relationship to the world, including philosophy, history, culture, etc.

Instead, these systematic theologians would note that in instances where systematic theology is defined in such a way that it solely depends on the Bible, it is a highly conservative version of evangelical theology and does not speak for evangelical theology in toto.

Instead of reflecting the performance of actual hedge funds they take a statistical approach to the analysis of historic hedge fund returns, and use this to construct a model of how hedge fund returns respond to the movements of various investable financial assets.

Instead, distributed circuit elements and transmission-line theory are more useful methods for design and analysis.

Instead, much of numerical analysis is concerned with obtaining approximate solutions while maintaining reasonable bounds on errors.

Instead of developing a political analysis of the state we live in, instead of undertaking the patient and unsparing job of education which must precede even a pre-revolutionary situation, Oz behaved as though the revolution had already happened.

Instead of physically connecting the antennas, data received at each antenna is paired with timing information, usually from a local atomic clock, and then stored for later analysis on magnetic tape or hard disk.

Instead, the definition is created as a result of acquiring a critical framework for the analysis and creation of artifacts.

Instead, they say economists should enrich their analysis by using data sets generated from other disciplines or through increased use of qualitative methods.

Instead of doing financial projection on a " best estimate " basis, a company or its regulators may do stress testing where they look at how robust a financial instrument is in certain crashes, a form of scenario analysis.

Instead, many enterprises operate on what is called “ informal impressions, conjectures, and intuition gained through the tidbits of information about competitors every manager continually receives .” As a result, traditional environmental scanning places many firms at risk of dangerous competitive blindspots due to a lack of robust competitor analysis.

Instead, ASEAN national authorities must rely on the review and analysis of other ASEAN national authorities to determine if AFTA measures such as rule of origin are being followed.

Instead, under the leadership of its last General Secretary, Grant Morgan, it developed a State Capitalist analysis of the Stalinist states, the first CP in the world to do so.

Instead, it applies to the Bible methods of textual analysis used in other disciplines of the humanities and social sciences.

Instead of relying on the device of the implied author and a text-centered analysis of unreliable narration, Ansgar Nünning gives evidence that narrative unreliability can be reconceptualized in the context of frame theory and of readers ' cognitive strategies.

Instead, they include qualitative analysis of costs and benefits in order to give a more comprehensive assessment.

Instead, he will arrive at a conclusion only after careful, thoughtful analysis.

Instead, the feature space must be preprocessed ( often by an entropy analysis of some kind ) so that some guidance can be given as to how the discretization process should proceed.

Instead, many companies use computers and statistical analysis to identify suspicious claims for further investigation.

Instead, Graham Bell's system, developed at his Volta Laboratory in Washington, D. C., involved the use of a spectrograph, a device that makes " visible records of the frequency, intensity, and time analysis of short samples of speech ".

Instead, the content is only examined during the section 1 analysis.

Instead, it seeks cognitive and cultural explanations of social and organizational phenomena by considering the properties of supra-individual units of analysis that cannot be reduced to aggregations or direct consequences of individuals ’ attributes or motives.