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.

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 ").

# Do the eight weighings according to the following schedule and let Y < sub > i </ sub > be the measured difference for i =

The first is a ritual designed for the individual, which involves sacrificing a " Cake of Light " ( a type of bread that serves as the host ) to Ra ( i. e. the Sun ) and infusing a second Cake with the adept's own blood ( either real or symbolic, in a gesture reflecting the myth of the Pelican cutting its own breast to feed its young ) and then consuming it with the words, " There is no grace: there is no guilt: This is the Law: Do what thou wilt!

* Do beings exist other than in the modes of objectivity and subjectivity, i. e. is the subject / object split of modern philosophy inevitable?

" Do not say that the Vedas and the Koran ( semetic books i. e. Bible, torah and quran ) are false.

to emphasize that the tangent bundle is the range space of the ( 1, 0 ) tensor fields ( i. e., vector fields ) on the manifold M. Do not confuse this with the very similar looking notation

Like their Dene neighbours they called themselves oft simply Done (“ person ”, “ human ”) or Done Do (“ People, i. e. Dene People ”).

4 ) Do this in multiple passes, i. e. after the north pass, use the same semi processed image in the other passes and so on.

In the same interview, Joel notes that each of the characters on the album cover was meant to represent a particular song ( i. e., the girl in headphones for " All You Wanna Do is Dance ," the wealthy couple for " I've Loved These Days ," etc.

“ Do pytannja pro ukrajins ’ ko-bilorus ’ ku vzajemodiju donacional ’ noho periodu ( dosjahnennja, zavdannja i perspektyvy doslidžen ’)”.

The activities in which volunteers participated were sometimes pie-related ( i. e. " Do an impression of a cartoon character being hit with a pie ," or being given the choice of pieing themselves or someone else of their choosing ), but more often involved performing a stunt or a Candid Camera or Punk'd-style " hidden camera " prank.

Look for deviation in implementation from the plan and also look for the appropriateness / completeness of the plan to enable the execution i. e .," Do ".

* Do Abla i Kaina ( 1961 )

Do sometimes represents a short beat that is not allowed to resonate ( i. e., one with a short decay ).

On 1 July 1945, the RJN issued the Do Narodu Polskiego i Narodów Zjednoczonych ( To the Polish Nation and the United Nations ) manifesto and the so-called Testament of the Fighting Poland, in which it underlined the basic Polish aims of the war and the principles of Polish-Soviet relations.

< td > Do, carodd Duw y byd gymaint nes iddo roi ei unig Fab, er mwyn i bob un sy ' n credu ynddo ef beidio â mynd i ddistryw ond cael bywyd tragwyddol .</ td >

* Kochaj i rób co chcesz ( 1998 ) aka Love, and Do Whatever You Want as Lech Ryszka

* Do ' i ( boyfriend / girlfriend )-Originated from the word dia ( him / her ) transformed by inserting letter ' o ' in the middle and deleting the last letter ' a '.

The Triadic Model builds on the attribution elements of social comparison, proposing that opinions of social comparison are best considered in terms of 3 different evaluative questions: preference assessment ( i. e., “ Do I like X ?”), belief assessment ( i. e., “ Is X correct ?”), and preference prediction ( i. e., “ Will I like X ?”).

Morland also interviewed ( often informally ) many former Los Alamos scientists ( including Teller and Ulam, though neither gave him any useful information ), and used a variety of interpersonal strategies to encourage informational responses from them ( i. e., asking questions such as " Do they still use sparkplugs?

After a two year break he released a single Do svitanja ( Till Dawn ), along with a ballad named Ti i ja ( You and Me ).