In addition to its obvious importance in geometry and calculus, area is related to the definition of determinants in linear algebra, and is a basic property of surfaces in differential geometry.

In addition to the drinking problems, it had become obvious that he also was having serious mental problems ; Martha Maria said that, " It was like sometimes he was drunk even when he wasn't drinking.

In addition, as Kraepelin accepted in 1920, " It is becoming increasingly obvious that we cannot satisfactorily distinguish these two diseases.

In addition to preview by the Constitutional Law Committee, all Finnish courts of law have the obligation to give precedence to the constitution when there is an obvious conflict between the constitution and a regular law.

Bright colorations and showy ornamenations, such as those seen in many male birds, in addition to capturing the eyes of females, also attract the attention of predators ; when a male peacock spreads its tail, it is beautiful, but very obvious ( though this may actually be advantageous to the survival of the male's offspring and the breeding population as a whole ; see below ).

His pioneering efforts encountered specific difficulties, and the treatment of addition was an obvious difficulty in the early days.

I had already used the obvious word hypothesis in the sequence hypothesis, and in addition I wanted to suggest that this new assumption was more central and more powerful.

In the days following Germany's defeat in World War II, at the age of 12, Hannelore Kohl was raped by Red Army soldiers and subsequently “ thrown out of a window like a sack of potatoes by the Russians .” In addition to the obvious psychological impact, the attacks left her with a fractured vertebra and back pain for the rest of her life.

Software-related inventions may be considered obvious if they involve: the application of an operation known in other fields ; the addition of a commonly known means or replacement by equivalent ; the implementation in software of functions which were previously performed by hardware ; or the systematisation of known human transactions.

In addition, Corwin is contacted by the " ghost " of Oberon several times ( before realizing that Oberon still lives ), an obvious parallel to the plot of Hamlet.

Some critics, such as Michel Foucault, believe that in addition to its obvious function of identifying and capturing individuals who are committing undesirable acts, surveillance also functions to create in everyone a feeling of always being watched, so that they become self-policing.

In addition to the obvious difficulties of preserving perishable material, there can be regulations complicating transport by rail, truck, or aircraft of liquid body fluids due to the fluids ' possible classification as dangerous goods.

The IBM 1620 used in the 1710 system was modified in several ways, the most obvious was the addition of a very primitive hardware interrupt mechanism.

It takes on an appearance radically different from its previous forms ; the most obvious change is the addition of two retractable cannons on its shell.

For obvious reasons, Hanssen ensured that he did not unmask himself with his study, but in addition, he also turned over the entire study, including the list of all Soviets who had contacted the FBI about FBI moles, to the KGB in 1988.

In addition, personnel training in the RN improved as the realities of the battle became obvious.

In addition, " some four thousand Turks and Berbers had come into Spain to fight alongside the insurgents in the Alpujarras ", a region near Granada and an obvious military threat.

In addition the vogue for ram bows meant that there was no obvious place to mount one on battleships.

With regard to the matter, Joan famously said, “ It is not considered ignominious, nor disgraceful for a great earl to take a poor and mean woman to wife ; neither, on the other hand, is it worthy of blame, or too difficult a thing for a countess to promote to honor a gallant youth .” Joan's statement in addition to a possibly obvious pregnancy seemed to soften Edward ’ s attitude towards the situation.

In addition to the obvious ability of booby traps to kill or injure, their presence has other effects.

Individual instruments can also be connected as a local area network ( LAN ) and can be further integrated as part of a laboratory information management system ( LIMS ), that in addition to having Internet access to databases of such physical properties as compound spectra libraries through the World Wide Web for results comparisons and advanced data analysis as well as the obvious usefulness of now ubiquitous email for rapid exchange of informational text and images, consultation and peer review.

In addition to the obvious comic effect, Capp often used Joe Btfsplk as a deus ex machina to produce miraculous rescues or to effect plot twists.

In addition, thriving Jewish colonies were to be found at the various trading centers, thereby furnishing obvious bases for the apostolic witness.

In addition to the blurred lines between genders in Rosario / Matilda, there are obvious gender role reversals.

One must be careful here ; for instance, some analyses count an addition of two numbers as one step.

In addition, the number of fires is increasing in step with population growth.

In addition, Moseley's methods and analyses made the huge step of placing the concept of atomic number on a firm foundation based in physics.

Moseley's discoveries were thus of the same scope as those of his peers, and in addition, Moseley made the larger step of demonstrating the actual foundation of atomic numbers.

In the PDP-11 / 70, this was taken a step further, with the addition of a dedicated interface between disks and tapes and memory, via the Massbus.

In step 5, some of the UDP-Nacetylglucosamine ( UDP-GlcNAc ) is converted to UDP-MurNAc ( UDP-N acetylmuramic acid ) by the addition of a lactyl group to the glucosamine.

In step 7, the UDP – MurNAc is converted to UDP-MurNAC pentapeptide by the addition of five amino acids, usually including the dipeptide-alanyl -- alanine.

In addition, a new regional constitution was drafted and later passed on 15 June 2009, which is believed to represent a significant step toward the eventual introduction of a multi-party political system to the region for the first time ; such a system already exists in the adjacent Somaliland region.

In addition, Butkus would step down to return to acting and various philanthropic work, while McDonough would exit for a similar position on NBC's NFL Live!

The BIOS step is necessary in addition to configuration from the OS in some cases.

Later authors changed the interpretation, commonly reading it as exclusive or, or in set theory terms symmetric difference ; this step means that addition is always defined.

While the French hailed the invasion as the first step towards the Rhineland and later Berlin, General Le Bœuf and Napoleon III were receiving alarming reports from foreign news sources of Prussian and Bavarian armies massing to the southeast in addition to the forces to the north and northeast.

Unlike a graph, however, the number of semitones represented by a vertical step from a line to an adjacent space depends on the key, and the exact timing of the beginning of each note is not directly proportional to its horizontal position ; rather, exact timing is encoded by the musical symbol chosen for each note in addition to the tempo.

Because Thoth is a moon deity in addition to his other functions, it would make sense, according to te Velde, for Thoth to emerge in the form of the Eye and step in to mediate between the feuding deities.

In addition to the platform, some remnants of the Temple remain above ground, including a step leading to the Dome of the Rock that is actually the capstone of the pre-Herodian wall of the Temple Mount platform.

In addition to the hassetsu, the archer must also perform an elaborate entering procedure whereby the archer will join up to four other archers to enter the dojo, bow to the adjudicators, step up to the back line known as the honza and then kneel in a form of sitting known as kiza.

Too few subunits makes an army unwieldy ; too many subunits makes the ‘ power of the superior will ’ weak ; and in addition every step by which an order has to pass weakens its effect by loss of force and Longer time of transmission.

The reverse process, which is the first chemical step in photosynthesis, is called carbonation, the addition of CO < sub > 2 </ sub > to a compound.

In this experiment, researchers recruited stroke patients without prior musical experience and trained half of them in an intensive step by step training program that occurred fifteen times over three weeks, in addition to traditional treatment.

In addition, this step also involves the community and others who were involved in the initial crime.

In addition, the latest revision of UEFA on 27, on the occasion of Champions League match against Olympiacos, served as a final step to give the Santiago Bernabéu elite stadium status on 14 November 2007, a month before the celebration of the 60th anniversary of the inauguration of the stadium.

In addition, Paramount wanted to go with an A-list director, paying Niccol extra money " to step aside.

Extrapolating one step more, writing multiplication as repeated addition, is not as straightforward because multiplication is repeated addition starting with 0 instead of 1.