When Af for each i, we shall have Af, because the operator Af will then be 0 on the range of Af.

For many Muslims, i ' thar must be practiced as a religious obligation during specific Islamic holidays.

In German, words starting with sch-( constituting the German phoneme ) would be intercalated between words with initial sca-and sci-( all incidentally loanwords ) instead of this graphic cluster appearing after the letter s, as though it were a single letter — a lexicographical policy which would be de rigueur in a dictionary of Albanian, i. e. dh -, ë -, gj -, ll -, rr -, th -, xh-and zh-( all representing phonemes and considered separate single letters ) would follow the letters d, e, g, l, n, r, t, x and z respectively.

An argument of this form is invalid, i. e., the conclusion can be false even when statements 1 and 2 are true.

The practical definition may lead to confusion with the definition of a coulomb ( i. e., 1 amp-second ), but in practical terms this means that measures of a constant current ( e. g., the nominal flow of charge per second through a simple circuit ) will be defined in amperes ( e. g., " a 20 mA circuit ") and the flow of charge through a circuit over a period of time will be defined in coulombs ( e. g., " a variable-current circuit that flows a total of 10 coulombs over 5 seconds ").

In this way, amperes can be viewed as a flow rate, i. e. number of particles ( charged ) transiting per unit time, and coulombs simply as the number of particles.

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 ).

If the method is applied to an infinite sequence ( X < sub > i </ sub >: i ∈ ω ) of nonempty sets, a function is obtained at each finite stage, but there is no stage at which a choice function for the entire family is constructed, and no " limiting " choice function can be constructed, in general, in ZF without the axiom of choice.

He then added that he would rather be assisted by Lamprias, his own grandfather, than by Dionysus ' grandfather, i. e. Cadmus.

Because the series was at stake, the match was to be " timeless ", i. e., played to a finish.

Also, in the Baha ' i view, souls will be able to recognize the accomplishments of the souls that have reached the same level as themselves, but not those that have achieved a rank higher than them.

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.

On the other hand, where a person has performed skillful actions based on generosity, loving-kindness ( metta ), compassion and wisdom, rebirth in a happy realm, i. e. human or one of the many heavenly realms, can be expected.

Atomic orbitals can be the hydrogen-like " orbitals " which are exact solutions to the Schrödinger equation for a hydrogen-like " atom " ( i. e., an atom with one electron ).

* Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i. e. S ⊆ Q ⊆ T. If there is a unique number c such that a ( S ) ≤ c ≤ a ( T ) for all such step regions S and T, then a ( Q )

In February he and Gratian had published an edict that all their subjects should profess the faith of the bishops of Rome and Alexandria ( i. e., the Nicene faith ), or be handed over for punishment for not doing so.

If the resulting four kilobyte table size is too large for a given target platform, the table lookup operation can be performed with a single 256-entry 32-bit ( i. e. 1 kilobyte ) table by the use of circular rotates.

The outcome was a decision by the 14th International Botanical Congress in 1987 that Amaryllis should be a conserved name ( i. e. correct regardless of priority ) and ultimately based on a specimen of the South African Amaryllis belladonna from the Clifford Herbarium at the British Museum.

He reasons that, i ) if we knew the nature of this power, then the mind-body divide would seem totally unmysterious to us ; ii ) if we had immediate knowledge of this mysterious power, then we would be able to intuitively explain why it is that we can control some parts of our bodies ( e. g., our hands or tongues ), and not others ( e. g., the liver or heart ); iii ) we have no immediate knowledge of the powers which allow an impulse of volition to create an action ( e. g., of the " muscles, and nerves, and animal spirits " which are the immediate cause of an action ).

When a specific allophone ( from a set of allophones that correspond to a phoneme ) must be selected in a given context ( i. e. using a different allophone for a phoneme will cause confusion or make the speaker sound non-native ), the allophones are said to be complementary ( i. e. the allophones complement each other, and one is not used in a situation where the usage of another is standard ).

* Neutralizing the opponent as quickly as possible by responding with an unbroken, varied stream of counter attacks ( i. e. attacking high / low ) and if necessary a take down / joint break.

Even those disorders often considered the most serious and intractable have varied courses i. e. schizophrenia, psychotic disorders, and personality disorders.

There are indications that the methods and techniques used by different athletes varied, i. e., there were different styles.

Overall, Milgram reported that chains varied in length from two to ten intermediate acquaintances, with a median of five intermediate acquaintances ( i. e. six degrees of separation ) between the original sender and the destination recipient.

The reasons for being damned have varied widely through the centuries, with little consistency between different forms of Christianity ( i. e., Catholic or Protestant ).

Laws varied from country to country: in England a serf who made his way to a chartered town ( i. e. a borough ) and evaded recapture for a year and a day obtained his freedom and became a burgher of the town.

" Vidalian ” geography is based on varied forms of cartography and on possibilism ( founded on a societal approach of geography i. e. on the principle of spaces polymorphic faces depending from many factors among them mankind, culture, and ideas ) as opposed to determinism.

For example, Fischtein, Herold and Desmarais ( 2005 ) found that acceptance of toplessness in a sample of Canadians varied depending on both personal factors ( such as the respondent's gender, age, and religion ) and contextual factors ( i. e. toplessness in streets, parks, or beaches ).

The percentage of supplanted cells in an individual's brain varied by character, depending on the desired function ( i. e .- wirelessly receive information like a computer, or send it, in the case of Ken Castle ).

Also, under section 11 ( i ) of the Charter, if the punishment for a crime has varied between the time the crime was committed and the time of sentencing following a conviction, the convicted person is entitled to the lesser punishment.

Juvenile minimum life sentences in a 2000 review ( i. e. before the 2003 act passed into law ) varied from a " most common " minimum of 10 years to a maximum of 20, placing Dobson and Norris in the middle of that range.

Societies over the centuries have varied over punishment for murder and to examine and analyze each murder in terms of their own circumstances ( i. e. it was morally acceptable and / or merely expedient while committing the act ).

A variable frequency oscillator ( VFO ) in electronics is an oscillator whose frequency can be tuned ( i. e. varied ) over some range.

The problem was overcome by hysteresis, i. e., making them switch state only when the temperature varied from the target by a specified minimum amount.

The attributes and means by which Christian mysticism is studied and practiced are varied and range from ecstatic visions of the soul's mystical union with God to simple prayerful contemplation of Holy Scripture ( i. e., Lectio Divina ).

Whereas, with Schild regression, antagonist concentration is varied in experiments used to derive K < sub > i </ sub > values from the Cheng-Prusoff equation, agonist concentrations are varied.

In palliative care the doses of sedatives are titrated ( i. e. varied ) to keep the patient comfortable without compromising respiration or hastening death.

The 4L shipped with 4 LEDs, each with an icon to indicate a different condition, and a single pushbutton whose purpose varied depending on context ( i. e. Hold down during printing, the printer will cancel the job.

MSHSAA's classification nomenclature has changed over time and often has varied by sport, so many of the titles listed below were won in divisions known by different names, i. e. Class 3, Class 5A, etc.

Interactomics thus aims to compare such networks of interactions ( i. e., interactomes ) between and within species in order to find how the traits of such networks are either preserved or varied.

This motor was shared with the Impala SS of the same era and was related to the 4. 3 l / 265 c. i. L99 V8 that was the base motor for the Chevrolet Caprice, and varied mainly from the F body and Corvette applications by:

A lesion in internal capsule where all the motor fibres are condensed in a small area, will cause dense hemiplegia i. e complete loss of power of all muscles of one half of body while a lesion at cortical or subcortical level will cause varied amount of weakness of one half of the body.

Their membership was drawn from varied backgrounds, including the Riflemen's Association ( Związek Strzelecki ), Reserve Noncommissioned Officers ' Association ( Związek Podoficerów Rezerwy ), Reserve Officers ' Association ( Związek Oficerów Rezerwy ), referrals by County Offices of Physical Education and Military Training ( Powiatowe Urzędy Wychowania Fizycznego i Przysposobienia Wojskowego, or PUWFiPW ), the Polish Scouting Association ( Związek Harcerzy Polskich, or ZHP ), the Polish Socialist Party ( PPS ), and a host of other organizations.