Fortunately, the conjugate gradient method can be used as an iterative method as it provides monotonically improving approximations to the exact solution, which may reach the required tolerance after a relatively small ( compared to the problem size ) number of iterations.

Fortunately, the inventory of 1656 provides a detailed picture of the interior as it was in Rembrandt ’ s day.

Fortunately for the British, the Germans were surprised by gunfire from an unexpected source: Canopus, which had been grounded as a guardship and was behind a hill.

Fortunately, the city reconverted and, although it may not have the same economic dynamism of that epoch, the commercial and industrial areas are a source of employment for many, and the city remains relatively prosperous with 33, 430 inhabitants ( see above ).

Fortunately for Benfica, cycling picked up the slack and became an important source of victories.

Fortunately for India's struggle for freedom, the fatal inertia that had practically put an end, after calling off the Non-co-operative movement, to all its outwards activities, was removed by an action of the British government, namely the appointment of Simon Commission in 1928.

`` Fortunately through our growth studies we have been able to see what nature does, and that helps us know what we can do ''.

Fortunately, JCSP does not force its users to adopt a mathematical approach themselves, but allows them to benefit from the mathematics that underpins the library.

Fortunately, Hirohiko comes back onto the scene and does the work alongside Ruriko necessary for the two eventually reconcile and remarry.

Fortunately, in mechanism design the principal does have one advantage.

Fortunately, whether the ordered pair is type-level by definition or by assumption ( i. e., taken as primitive ) usually does not matter.

") Fortunately, he does make it there-just as the picture is being taken.

) Harvard Crimson noted, similar to McInerney, that " Celebrity by itself teeters so often into self-parody that it seems too easy to bash it " but remarks that " Fortunately, Ellis does more than that injecting Glamorama with a sharper plot than those of earlier novels, a plot which kicks in about a quarter of the way into the novel.

Fortunately, the processor typically does not need to wait for all eight words ; the burst is usually sent in critical word first order, and the first critical word can be used by the microprocessor immediately.

Fortunately, unlike modern autofocus cameras with LCD ' Command Center ' panels, malfunction of the F3's LCD viewfinder display does not prevent full operation of the camera, since this is accomplished with manual dials and indicators.

Fortunately military communication does not always merely facilitate warfare, but often supports intelligence gathering and communication between adversaries, and thus sometimes prevents war.

Fortunately, Henry's Fate does not malign the memory of John Berryman.

Fortunately, this deceleration process occurs in such a way that it does not jeopardize a μSR measurement.

Fortunately we were alone in the building -- so few people nowadays are interested even in their own past or in the lovely craft of other days -- for they began to abuse each other in the foulest language.

Fortunately, the short ranges and spread of shot provide a significant overlap, so a small error in regulation in a double will often be too small to be noticed.

Fortunately, the human visual system is similar in design: it perceives changes in luminance at a higher resolution than changes in chrominance, so this asymmetry has minimal visual impact.

Fortunately for you, most of the evidence was shredded, so you are facing only a year in prison.

Fortunately, Warner Bros. had enough of a backlog of cartoons and a healthy reissue program so that there was no noticeable interruption in the release schedule.

Fortunately, the shooting schedule was budgeted for two weeks of post-production photography, so even though the first cut had " some of the free-est, funniest and most sophisticated material that Woody had ever created, and it hurt him to lose it ", late 1976 saw three separate shoots for the final segment, two of which appear in some form.

Fortunately for Catherine and Anne, even Henry would not go so far.

Fortunately, the movement of the switch occurred beneath the final coach, so that although 7 people were killed, the front coaches remained on the tracks.

Fortunately, some saints achieved so much merit in their lifetimes on Earth that they got into Heaven with some to spare.

Fortunately, the university had insurance against subsidence, so it was able to pay for the south-west corner of the building to be demolished and replaced by a new wing at the other end of the building.

Fortunately, the degree of cementation in Portland Stone is such that the stone is sufficiently well cemented to allow it to resist weathering but not so well cemented that it can't be readily worked ( cut and carved ) by masons, this is one of the reasons why Portland Stone is so favoured as a monumental and architectural stone.

Fortunately, the next period of excavation was under Wilhelm Dörpfeld, a director of the German Archaeological Institute, so this time the ruins were estimated and reflected on properly.

Fortunately during that time of religious unrest, those words that were in the runes were still protected in the Vercelli Book, so called because the book is kept in Vercelli, Italy.

Fortunately for the neighborhood the economy was strong at the time, so Pioneer Square was quickly rebuilt.

Fortunately, the police officers ( Jean-Claude Dreyfus from Delicatessen ) investigating the case are so terminally stupid that Alex has little chance of being arrested …

Fortunately, the 1MB memory boards had RAM in sockets, so they could be upgraded to 4MB units when bigger dynamic RAM devices became available shortly after the 90x's initial release.

Fortunately, the building doubled as a cinema, so he could still make money with it.

Fortunately, Robotnik Prime was too unstable to remain alive for long, and the machine that revived him was destroyed so that he would never return again.

Furio then pulls him away and plays it off by telling Tony " You were standing too close ..." Fortunately, Tony was so intoxicated he only seemed slightly fazed and didn't seem to recall the incident the following day.

Fortunately the emergency services were able to evacuate the street before the explosion so no-one was harmed.

Fortunately, those injuries would not reach their full lethal potential, as Ganner would return to retrieve Corran so that they can leave the planet with the students.

Fortunately, Lili degenerated to the point where it was no longer a threat, so the crew was able to remain the full five days.

Fortunately, Ries was permitted to enter America in January 1938, having crossed the Atlantic twice to do so.