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.

* Folio 5 verso: Herd ( Armentum ) ( Isidore of Seville, Etymologiae, Book XII, i, 8 )

Also, by 1999, 38-40 % of the population of the Cayman Islands was of Jamaican origin and in 2004 / 2005 little over 50 % of the expatriates working in the Cayman Islands ( i. e. 8, 000 ) were Jamaicans ( with the next largest expatriate communities coming from the United States, United Kingdom and Canada ).

If a 4, 5, 6, 8, 9, or 10 is thrown on the come-out roll ( i. e., if a point is set ), most casinos allow pass line bettors to take odds by placing from one to five times ( and at some casinos, up to 100 times ) the pass line bet behind the pass line.

) In addition place bets are usually not working, except by agreement, when the shooter is " coming out " i. e. shooting for a point, and Big 6 and 8 bets always work.

The chart indicates that technical performance ( i. e., progress ) started more rapidly than planned, but slowed significantly and fell behind schedule at week 7 and 8.

(-An recte dictum sit latenter esse vivendum ) 1128c ; Flavius Philostratus Vita Apollonii 8. 28. 12, meaning " live in obscurity ", " get through life without drawing attention to yourself ", i. e. live without pursuing glory or wealth or power, but anonymously, enjoying little things like food, the company of friends, etc.

The problem can be quite computationally expensive as there are 4, 426, 165, 368 ( i. e., 64 choose 8 ) possible arrangements of eight queens on a 8 × 8 board, but only 92 solutions.

# If the remainder is 3, move 2 to the end of even list and 1, 3 to the end of odd list ( i. e. 4, 6, 8, 2-5, 7, 9, 1, 3 )

Traditionally, " chips " in the British Isles ( and Australia and New Zealand ), are cut much thicker, i. e., are " chipped " from the potatoes and described in some recipes as " chipped potatoes " not simply " chips ", and are typically between 10 and 15 mm ( 3 / 8 – 1 / 2 inches ) wide.

* Amerindian-K ' iche ' 9. 1 %, Kaqchikel 8. 4 %, Mam 7. 9 % and Q ' eqchi ' i 6. 3 %, other Mayan 8. 6 %, indigenous non-Mayan 0. 2 %; total: 40. 5 %

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 ).

1175-1280 ( c. 250 BC ); Bibliotheca 1. 9. 19, 2. 7. 7 ( 140 BC ); Sextus Propertius, Elegies, i. 20. 17ff ( 50 – 15 BC ); Ovid, Ibis, 488 ( AD 8 – 18 ); Gaius Valerius Flaccus, Argonautica, I. 110, III. 535, 560, IV. 1-57 ( 1st century ); Hyginus, Fables, 14.

REVma or 802. 11ma, as it was called, created a single document that merged 8 amendments ( 802. 11a, b, d, e, g, h, i, j ) with the base standard.

A spacecraft traveling from Earth to Mars via this method will arrive near Mars orbit in approximately 8. 5 months, but because the orbital velocity is greater when closer to the center of mass ( i. e. the Sun ) and slower when farther from the center, the spacecraft will be traveling quite slowly and a small application of thrust is all that is needed to put it into a circular obit around Mars.

* Lambda was used by Pythagoras to denote the " Lambda number sequence " 1, 2, 3, 4, 9, 8, 27, ..., formed by the integers of the form 2 < sup > i </ sup > and 3 < sup > i </ sup >, for nonnegative integer i.

Von Trier's latest work is Melancholia, a psychological disaster drama ; shot between 22 July and 8 September 2010 at Film i Väst's studios in Trollhättan, Sweden, and with exteriors in the area surrounding the Tjolöholm Castle.

Macduff declares that he was " from his mother's womb / Untimely ripp'd " ( 5. 8. 15 – 16 ), ( i. e., born by Caesarean section ) and was not " of woman born " ( an example of a literary quibble ), fulfilling the second prophecy.

17, 691 ( 1997 ), 141, 006 ( March 2001 ), 303, 980, i. e. 75. 8 per 100 population ( 2004 )

The Church of Jesus Christ of Latter-day Saints ( Mormons ), 8. 3 percent ; Also represented are Bukot Nan Jesus ( also known as Assembly of God Part Two ), 2. 2 percent ; Baptist, 1. 0 percent ; Seventh-day Adventists, 0. 9 percent ; Full Gospel, 0. 7 percent ; and the Baha ' i Faith, 0. 6 percent.

* Horace, Satires i. 8. 14-" nunc licet Esquiliis habitare salubribus atque / aggere in aprico spatiari, quo modo tristes / albis informem spectabant ossibus agrum ,/ cum mihi non tantum furesque feraeque suetae / hunc vexare locum curae sunt atque labori / quantum carminibus quae versant atque venenis / humanos animos: has nullo perdere possum / nec prohibere modo, simul ac vaga luna decorum / protulit os, quin ossa legant herbasque nocentis.

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.

The ampere ( SI unit symbol: A ), often shortened to amp, is the SI unit of electric current ( quantity symbol: I, i ) and is one of the seven SI base units.

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 ").

They differ from other related families by often being pachycauline ( i. e. with a thickened trunk, usually wider at the base, which has a water storage function ), by usually having succulent leaves, and by possessing a trimerous flower with a superior ovary and seeds with an aryl.

For the incremental case ( i. e., ), this simplifies to:

Almonds are sold shelled ( i. e., after the shells are removed ), or unshelled ( i. e., with the shells still attached ).

* Danishnama-i ' ala ' i ( The Book of Scientific Knowledge ), ed.

* Hence, the set of algebraic numbers has Lebesgue measure zero ( as a subset of the complex numbers ), i. e. " almost all " complex numbers are not algebraic.

Etymologically, architect derives from the Latin architectus, itself derived from the Greek arkhitekton ( arkhi -, chief + tekton, builder ), i. e. chief builder.

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.

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.

::::: i. Pomponia Ummidia ( 219-after 275 ), died without known issue

:::::: i. Pomponia Bassa ( born c. 250 ), had one child

:::::::: i. Septimia ( born c. 305 ), had one child

::::::::::: i. Valerius Adelphius ( born c. 385 ), had one child

Franciszek Bujak ( 1875 – 1953 ) and Jan Rutkowski ( 1886 – 1949 ), the founders of modern economic history in Poland and of the journal Roczniki Dziejów Spolecznych i Gospodarczych ( 1931 – ), were attracted to the innovations of the Annales school.

ab ( cde ), i. e. the string abcde with any three adjacent elements bracketed.

After describing the manifestation of the Gospel in the Ogdoad and Hebdomad, he adds that the Basilidians have a long account of the innumerable creations and powers in the several ' stages ' of the upper world ( diastemata ), in which they speak of 365 heavens and say that " their great archon " is Abrasax, because his name contains the number 365, the number of the days in the year ; i. e. the sum of the numbers denoted by the Greek letters in ΑΒΡΑΣΑΞ according to the rules of isopsephy is 365:

i. 4 ), Augustine ( Haer.

4 ), and ' Praedestinatus ' ( i. 3 ), have no independent value.