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Page "Algorithms for calculating variance" ¶ 142
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For and incremental
For incremental reading to leave a permanent mark in long-term memory, the processed material must be gradually converted into material based on active recall.
For several years, new PowerBook and PowerBook Duo computers were introduced which featured incremental improvements, including color screens, but by mid-decade, most other companies had copied the majority of the PowerBook's features, and Apple was unable to regain their lead.
For this reason wormholes have been defined geometrically, as opposed to topologically, as regions of spacetime that constrain the incremental deformation of closed surfaces.
For any spacetime, there is an incremental invariant interval ds between events with an incremental coordinate separation dx < sup > μ </ sup > of
For such an observer, the incremental () form of the proper time equation is needed, along with a parameterized description of the path being taken, as shown below.
For example, if a backup system uses a single tape each day to store the incremental backups for all the protected computers, restoring one of the computers could potentially require many tapes.
For an incremental wholesale fee, Virgin Media, for the first time, had the option of carrying any of Sky's basic HD channels, Sky Sports HD 1 and Sky Sports HD 2, and all Sky Movies HD channels.
For these materials it is sometimes useful to consider the incremental permeability defined as
For most incremental compilers, compiling a program with small changes to its source code is usually near instantaneous.
In his review of the August 2005 Newtype USA Game of the Month Kevin Gifford writes " For Broken Angel veterans, the improvements here will likely be incremental.
For both cost and technical reasons, it must be designed to be able to support incremental upgrades.
For a continuous process, this means that incremental changes in such variables are exact differentials, fully determined by their initial and final thermodynamic states.

For and case
For the case of Jupiter, the radio emission spectrum is definitely not like the spectrum of a black-body radiator, and it seems very likely that the radiation reaching the earth is a combination of thermal radiation from the atmosphere and non-thermal components.
For if such were the case, either the plane of the two lines would meet **zg in more than K points or, alternatively, the order of the image regulus of the pencil determined by the two lines would be too high.
For the case of a purely inertial autonavigator consisting of three restrained gyros, a coordinate system is used where the sensitive axis of the X accelerometer is parallel to the east-west direction at the base point, and the Y accelerometer sensitive axis is parallel to the north-south direction at the base point.
For an ideal gas, the temperature remains constant because the internal energy only depends on temperature in that case.
For private suits only the victims or their families could prosecute, while for public suits anyone ( ho boulomenos, ' whoever wants to ' i. e. any citizen with full citizen rights ) could bring a case since the issues in these major suits were regarded as affecting the community as a whole.
For example a two dimensional array with three rows and four columns might provide access to the element at the 2nd row and 4th column by the expression: ( in a row major language ) and ( in a column major language ) in the case of a zero-based indexing system.
For this last case, the cohesive fracture can be said to be “ cohesive near the interface ”.
For some specializations within conservation this is still the case.
For the frequent case of propositional logic, the problem is decidable but Co-NP-complete, and hence only exponential-time algorithms are believed to exist for general proof tasks.
For the simple case where the direction of the light beam along the line SE is perpendicular to the motion of the observer then only light emitted at an angle equal to the arc cosine of the ratio of the observer's speed to the speed of light will reach the telescope.
For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum,, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is
For larger quantities one must go to a beverage distributor which sells beer only by the case or keg.
For example, bacteria catalyse the breakdown of the mineral pyrite ( FeS < sub > 2 </ sub >) by oxidising the sulfur and metal ( in this case ferrous iron, ( Fe < sup > 2 +</ sup >)) using oxygen.
For case of single stranded DNA / RNA units of nucleotides are used, abbreviated nt ( or knt, Mnt, Gnt ), as they are not paired.
For example in the case of anthrax, it is likely that by 24 – 36 hours after an attack, some small percentage of individuals ( those with compromised immune system or who had received a large dose of the organism due to proximity to the release point ) will become ill with classical symptoms and signs ( including a virtually unique chest X-ray finding, often recognized by public health officials if they receive timely reports ).
For the case of a non-commutative base ring R and a right module M < sub > R </ sub > and a left module < sub > R </ sub > N, we can define a bilinear map, where T is an abelian group, such that for any n in N, is a group homomorphism, and for any m in M, is a group homomorphism too, and which also satisfies
For case,
For example, most areas of law in most Anglo-American jurisdictions include " statutory law " enacted by a legislature, " regulatory law " promulgated by executive branch agencies pursuant to delegation of rule-making authority from the legislature, and common law or " case law ", i. e., decisions issued by courts ( or quasi-judicial tribunals within agencies ).
For example, civil law can be clearer than case law when the legislature has had the foresight and diligence to address the precise set of facts applicable to a particular situation.
For example, in the case of acetic acid dissolved in water and forming acetate and hydronium ions,
For example, the 1972 Constitution designates the Prime Minister as constitutional successor of the Head of State in case of incapacity, death, resignation or unaccountable absence of the incumbent.
For example, in one case, a prominent Chicana feminist writer and poet has indicated the following subjective meaning through her creative work.
For example in the Netherlands, the law assumes the stronger participant ( e. g. a car driver ) is liable in the case of an accident with a weaker participant ( e. g. a cyclist ) unless it can be proved that the cyclist's behavior could not have been expected.
) For the casuist, the circumstances of a case are essential for evaluating the proper response.

For and i
For each i, let Af.
For many Muslims, i ' thar must be practiced as a religious obligation during specific Islamic holidays.
For Euclid ’ s method to succeed, the starting lengths must satisfy two requirements: ( i ) the lengths must not be 0, AND ( ii ) the subtraction must be “ proper ”, a test must guarantee that the smaller of the two numbers is subtracted from the larger ( alternately, the two can be equal so their subtraction yields 0 ).
For example, where a person has committed harmful actions of body, speech and mind based on greed, hatred and delusion, rebirth in a lower realm, i. e. an animal, a ghost or a hell realm, is to be expected.
For example, the giant elliptical galaxy M87 has an absolute magnitude of − 22 ( i. e. as bright as about 60, 000 stars of magnitude − 10 ).
For example, an array of 10 integer variables, with indices 0 through 9, may be stored as 10 words at memory addresses 2000, 2004, 2008, … 2036, so that the element with index i has the address 2000 + 4 × i.
For a vector with linear addressing, the element with index i is located at the address B + c · i, where B is a fixed base address and c a fixed constant, sometimes called the address increment or stride.
For a two-dimensional array, the element with indices i, j would have address B + c · i + d · j, where the coefficients c and d are the row and column address increments, respectively.
For example, an " anti-realist " who denies that other minds exist ( i. e., a solipsist ) is quite different from an " anti-realist " who claims that there is no fact of the matter as to whether or not there are unobservable other minds ( i. e., a logical behaviorist ).
For a rigid body rotating around an axis of symmetry ( e. g. the blades of a ceiling fan ), the angular momentum can be expressed as the product of the body's moment of inertia, I, ( i. e. a measure of an object's resistance to changes in its rotation rate ) and its angular velocity ω:
For instance, chapter 6 ( B '), which ought to follow chapter 7 ( A ') chronologically, is put in parallel with chapter 3 ( B ) because they both deal with the persecution of Daniel and his friends i. e. " God's people.
For many years, apocryphal rumors circulated that a jealous lover had poisoned his coffee, but a more likely scenario is that he died of a bad heart attack after becoming disoriented during a snowstorm ( i. e., he froze to death ).
For objectivists, probability objectively measures the plausibility of propositions, i. e. the probability of a proposition corresponds to a reasonable belief everyone ( even a " robot ") sharing the same knowledge should share in accordance with the rules of Bayesian statistics, which can be justified by requirements of rationality and consistency.
For example, a ( strict ) 2-category is a category together with " morphisms between morphisms ", i. e., processes which allow us to transform one morphism into another.
For example, if function div stands for the division operation x / y, then div with the parameter x fixed at 1 ( i. e., div 1 ) is another function: the same as the function inv that returns the multiplicative inverse of its argument, defined by inv ( y )
For example, while in a conversion to Judaism a convert must accept basic Jewish principles of faith, and renounce all other religions, the process is more like a form of adoption, or changing national citizenship ( i. e. becoming a formal member of the people, or tribe ), with the convert becoming a " child of Abraham and Sarah.
For real values of, we have and for purely imaginary we have hence has a limit at 0 ( i. e., ƒ is complex differentiable at 0 ) if and only if.
For instance, low-end versions of complex architectures ( i. e. using less hardware ) could lead to situations where it was possible to improve performance by not using a complex instruction ( such as a procedure call or enter instruction ), but instead using a sequence of simpler instructions.

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