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 of just studying Halakha, Louis Ginzberg wrote responsa, formal responses to questions of Jewish law.

Instead of studying nature directly, younger artists began studying Hellenistic sculptures and paintings of masters past.

Instead of groups, groupoids, the mathematical generalization of groups in category theory, is the appropriate tool for studying quasicrystals.

Instead of studying law, he tinkered with mechanical gadgets.

Instead, new and borrowed verbs and adjectives are conjugated periphrastically as verbal noun + suru ( e. g. benkyō suru ' do studying = study ') and adjectival noun + na.

Instead, he used his grandfather's legacy and a small borrowed sum to spend the next two years studying the educational systems of the Old World in Europe.

Instead, functional rather than geographical intelligence requirements came to the fore such as counter-proliferation ( via the agency's Production and Targeting, Counter-Proliferation Section ) which had been a sphere of activity since the discovery of Pakistani physics students studying nuclear-weapons related subjects in 1974 ; counter-terrorism ( via two joint sections run in collaboration with the Security Service, one for Irish republicanism and one for international terrorism ); counter-narcotics and serious crime ( originally set up under the Western Hemisphere Controllerate in 1989 ); and a ' global issues ' section looking at matters such as the environment and other public welfare issues.

Instead, Hooper decided on a career in law, studying under James Otis, a popular attorney in Boston who was regarded as a radical.

Instead of studying the bass playing of someone like John Entwistle, which would have given me a foundation of how to play.

Instead of being only a worrisome problem, renormalization has become an important theoretical tool for studying the behavior of field theories in different regimes.

Instead of having to pay each year while studying, students are to be loaned the funds by the government and repayments will be made out of income once the graduate is earning more than £ 15000 per year.

Instead learner interest guides things, with students studying what they want to study.

Instead, Lane joined his brother Richard in London, studying engraving with him.

Instead of studying martial arts, like his fellow bodyguards, Ling Ling Fat makes unusual inventions, such as cannons fired from the mouth, helicopter blades, and magnets.

* Instead of teeth, the extinct predatory fish Dunkleosteus had sharp edges of hard exposed bone along its jaws.

Instead, they ordered that he be pilloried and whipped through both London and Bristol, branded on his forehead with the letter B ( for blasphemer ), bored through the tongue with a red-hot iron and imprisoned in solitary confinement with hard labour.

Instead of having to carry around hundreds of CD-Gs or laserdiscs, KJs can " rip " their entire libraries onto their hard drives and play the songs and lyrics from the computer.

Instead of using cryptic hard to remember acronyms, such as rpm and dpkg, Sorcerer's tool terminology is based upon magic words.

Instead, punishments were commonly monetary fines, periods of forced hard labor for convicts, and the penalty of death by beheading.

Instead, a small amount of knowledge could save many hours of hard work.

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 of asking people to think about what it means to do S / M ethically, and to make the hard choices that are sometimes necessary ( if only between what ’ s right and what ’ s right now ), many organizations today act as if these issues have all been settled, assuring us that sadistic or masochistic behavior not deemed SSC isn ’ t S / M at all but something else — abuse, usually, or domestic violence or poor self-esteem.

Instead of paying with cash, check, or credit cards, a consumer can use a mobile phone to pay for a wide range of services and digital or hard goods such as:

Instead, papers are distributed in hard copy and speakers call out paragraph numbers to call attention to their most salient points.

Instead of hard cartilage, the bronchi and bronchioles are composed of elastic tissue.

Instead, individuals carve out their fortunes by hard work as well as by choosing friends, allies, and patrons carefully.

Instead, they reserved 64 KiB of the base RAM for the expanded memory window, where they copied data to and from either extended memory or the hard disk when application programs requested page switches.

Instead of fighting in hard terrain, the British took the fight to the Burmese mainland.

Instead of " hard sciences ", where competence is easier to verify, the subjects are esoteric and may be based on a pseudoscience, e. g. astrology or natural healing.

Instead, the base LS had a naturally aspirated 3. 8-L V6, backed by a four-speed automatic transmission, which had a hard time moving the nearly Cougar.

Instead of writing directly to the hard disk, the information to be written would go to MagnaRAM's own buffer as this was a faster process.

Instead, the user boots the kernel stored on either a CD or diskette ; partitions the hard disk drive ( s ) to which the operating system will be installed ( using a program such as fdisk or cfdisk ); creates the appropriate file systems on the various partitions ; mounts the CD or NFS share along with the partitions made previously for use by the package installation script ; compiles a new kernel ; and installs a bootloader, all via shell commands.

Instead he advocated that Washington push hard for a political settlement between the Sunni Arabs, Shia Arabs, and Kurds, and begin a reduction in forces to only 60, 000 troops.

Instead, drivers are warned on entry from the A3 and M27 of the lack of hard shoulder, with signs saying " no hard shoulder for 2 miles ".

Instead of folding, the team fought to a hard win.

Instead of forcing a hard existence upon the Patryns and teaching them to care for others through relying on one another, it created a lethal, murderous hell where survival was the cruel torture of having hope dangled in your face, only to have it ripped away.

Instead, it provides a simple interface to read and write sectors of data — much like the low-level interface used to access any hard drive — using the " SCSI transparent command set.

Instead of spears and cutlasses, the tribesmen fought with muskets, musket-balls, and gunpowder that they obtained from the Europeans, conducting fierce and brutal wars.

Instead of wire windings, a Bitter magnet consists of a solenoid made of a stack of conducting disks, arranged so that the current moves in a helical path through them.

Instead he concentrated on conducting, and appeared at Covent Garden and in BBC radio broadcasts, and accompanied the ballet in European and American tours.

Instead of conducting separate but identical undergraduate courses for Harvard students and students from Radcliffe College, Conant instituted co-educational classes.

Instead of conducting trade, the Dutch seized the sachem and appealed for a substantial amount of ransom for his safe return.

Instead of conducting a new trial, Governor Bill Clements commuted Adams ’ s sentence to life in prison.

Instead, Bhabha found himself enjoying conducting atomic experiments, directly involving the subatomic energetic rays.

Instead, this behind the scenes special hosted by regular contestant Hamish Blake took a tour through the studios and dressing rooms of the ABC studios in Elsternwick and conducting interviews with show personnel.