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Page "Jainism" ¶ 232
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i and .
The diagonalizable operator is the special case of this in which Af for each i.
For each i, let Af.
When Af for each i, we shall have Af, because the operator Af will then be 0 on the range of Af.
The family moved north across the Ohio River to free ( i. e., non-slave ) territory and made a new start in what was then Perry County but is now Spencer County, Indiana.
This religion preaches the view of Ahimsa – to live and let live, thereby not harming sentient beings, i. e. uncompromising reverence for all life.
The importance lies in sacrifice for the sake of the greater good ; Islam considers those practicing i ' thar as abiding by the highest degree of nobility.
This is similar to the notion of chivalry, but unlike that European concept, in i ' thar attention is focused on everything in existence.
A constant concern for Allah ( i. e. God ) results in a careful attitude towards people, animals, and other things in this world.
This concept was emphasized by Sufi mystics like Rabia al-Adawiyya who paid attention to the difference between dedication to Allah ( i. e. God ) and dedication to people.
For many Muslims, i ' thar must be practiced as a religious obligation during specific Islamic holidays.
However, i ' thar is also still an Islamic ideal to which all Muslims should strive to adhere at all times.
These two defunct phyla were the Myxomycota ( i. e., plasmodial slime molds, now classified in the taxon Myxogastria ), and Acrasiomycota ( i. e. cellular slime molds, now divided into the taxa Acrasida and Dictyosteliida ).
Compared to earlier telegraph codes, the proposed Bell code and ASCII were both ordered for more convenient sorting ( i. e., alphabetization ) of lists and added features for devices other than teleprinters.

i and e
Like other character encodings, ASCII specifies a correspondence between digital bit patterns and character symbols ( i. e. graphemes and control characters ).
; Balanced design: An experimental design where all cells ( i. e. treatment combinations ) have the same number of observations.
Alkanes ( also known as paraffins or saturated hydrocarbons ) are chemical compounds that consist only of hydrogen and carbon atoms and are bonded exclusively by single bonds ( i. e., they are saturated compounds ) without any cycles ( or loops ; i. e., cyclic structure ).
Saturated hydrocarbons can also combine any of the linear, cyclic ( e. g., polycyclic ) and branching structures, and they are still alkanes ( no general formula ) as long as they are acyclic ( i. e., having no loops ). They also have single covalent bonds between their carbons.
If the appellate court does find a legal defect in the decision " below " ( i. e., in the lower court ), it may " modify " the ruling to correct the defect, or it may nullify (" reverse " or " vacate ") the whole decision or any part of it.
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.
This led to the conclusion ( Moseley's law ) that the atomic number does closely correspond ( with an offset of one unit for K-lines, in Moseley's work ) to the calculated electric charge of the nucleus, i. e. the proton number Z.
An argument of this form is invalid, i. e., the conclusion can be false even when statements 1 and 2 are true.
* In the year 1000, the Icelander Leif Ericson was the first European to set foot on North American soil, corresponding to today's Eastern coast of Canada, i. e. the province of Newfoundland and Labrador, including the area of land named " Vinland " by Ericson.
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 ").

i and since
Therefore no complete system, i. e. including the electromagnetic modes, can have negative temperatures, since there is no highest energy state, so that the sum of the probabilities of the states would diverge for negative temperatures.
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.
* In a discharging battery or galvanic cell ( diagram at right ) the anode is the negative terminal since that is where the current flows into " the device " ( i. e. the battery cell ).
The terms anode and cathode should not be applied to a Zener diode, since it allows flow in either direction, depending on the polarity of the applied potential ( i. e. voltage ).
Aegean vases have been exhibited both at Sèvres and Neuchatel since about 1840, the provenance ( i. e. source or origin ) being in the one case Phylakope in Melos, in the other Cephalonia.
The fact that in equivalent baseband models of communication systems, the signal spectrum consists of both negative and positive frequencies, can lead to confusion about bandwidth, since they are sometimes referred to only by the positive half, and one will occasionally see expressions such as, where is the total bandwidth ( i. e. the maximum passband bandwidth of the carrier-modulated RF signal and the minimum passband bandwidth of the physical passband channel ), and is the positive bandwidth ( the baseband bandwidth of the equivalent channel model ).
Hypomanic episodes do not go to the full extremes of mania ( i. e., do not usually cause severe social or occupational impairment, and are without psychosis ), and this can make bipolar II more difficult to diagnose, since the hypomanic episodes may simply appear as a period of successful high productivity and is reported less frequently than a distressing, crippling depression.
On the map of Ptolemy, the " Kimbroi " are placed on the northernmost part of the peninsula of Jutland., i. e. in the modern landscape of Himmerland south of Limfjorden ( since Vendsyssel-Thy north of the fjord was at that time a group of islands ).
However, whether this is possible depends on how the field of complex numbers is derived in the first place: it may not be possible to distinguish a complex number from its conjugate ( say, 3 + i from 3-i ), since it is impossible to find a property of one that is not also a property of the other, without falling back on the underlying set-theoretic definition.
Such gods, while keeping the original features of celestial divinities, i. e. transcendent heavenly power and abstention from direct rule in worldly matters, did not share the fate of other celestial gods in Indoeuropean religions-that of becoming dei otiosi or gods without practical purpose, since they did retain a particular sort of influence over the world and mankind.
A closely related involutary transformation ( by a factor of ( 1 + i ) /√ 2 ) is, since the factors in cancel the 2.
Theoretically, Henry doesn't know that he has seen a barn, despite both his belief that he has seen one being true and his belief being formed on the basis of a reliable process ( i. e. his vision ), since he only acquired his true belief by accident.
The Apsu was figured as the abyss of water beneath the earth, and since the gathering place of the dead, known as Aralu, was situated near the confines of the Apsu, he was also designated as En-Ki ; i. e. " lord of that which is below ", in contrast to Anu, who was the lord of the " above " or the heavens.
American scholar David Bordwell has spoken against many prominent developments film theory since the 1970s, i. e., he uses the humorously derogatory term " SLAB theory " to refer to film studies based on the ideas of Saussure, Lacan, Althusser, and / or Barthes.
But since 12 > 0 and 6 − i ≤ 0 for all i ≥ 6, this demonstrates that there is at least one vertex of degree 5 or less.
The factor of cos θ < sub > t </ sub >/ cos θ < sub > i </ sub > occurs from the change in area of the pencil of rays, needed since T, the ratio of powers, is equal to the ratio of ( intensity × area ).
It has taken place every single year since 1993, and in 2000 it changed it's format to a 2-year event ( i. e. 2000 – 01 ).
Roughly T < sup > 2 </ sup >+ T + 1 = 0 so that T < sup > 2 </ sup >= T + 1 ( since − 1 = 1 in Z / 2Z ) and hence the elements of ( Z / 2Z )/( T < sup > 2 </ sup >+ T + 1 ) are the polynomials of degree up to 1 with coefficients in Z / 2Z, i. e. the set
A plot of the first few factorials makes clear that such a curve can be drawn, but it would be preferable to have a formula that precisely describes the curve, in which the number of operations does not depend on the size of n. The simple formula for the factorial, n < nowiki >!</ nowiki > = 1 × 2 × … × n, cannot be used directly for fractional values of n since it is only valid when n is a natural number ( i. e., a positive integer ).
In the PBS science program Cosmos: A Personal Voyage, Episode 9: " The Lives of the Stars ", astronomer and television personality Carl Sagan estimated that writing a googolplex in standard form ( i. e., " 10, 000, 000, 000 ...") would be physically impossible, since doing so would require more space than the known universe provides.
The conversion factor is 10 < sup > 8 </ sup >, since flux is the integral of field over an area, area having the units of the square of distance, thus 10 < sup > 4 </ sup > ( magnetic field conversion factor ) times the square of 10 < sup > 2 </ sup > ( linear distance conversion factor, i. e., centimetres per meter ).
Despite these high-profile reports from Arkansas and Florida and sporadic reports elsewhere in the historic range of the species since the 1940s, there is no conclusive evidence for the continued existence of the Ivory-billed Woodpecker ; i. e., there are no unambiguous photographs, videos, specimens or DNA samples from feathers or feces of the Ivory-billed.
The Court of Final Appeal now serves as the highest judicial authority in the jurisdiction, although, as confirmed by the Court of Appeal, decisions of the Privy Council before 1 July 1997 on appeals from Hong Kong ' continue to be binding since the resumption of sovereignty on all courts of Hong Kong, save for the Court of Final Appeal ' i. e. these decisions remain part of the common law of the Hong Kong SAR unless and until overturned by the Court of Final Appeal.

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