Directly across from the Gardens I found a bus stop sign for T 4 and rode it down to the Bosphorus, with the sports center on my left just before I reached the water and the entrance to Dolmabahce Palace immediately after that.

He also bought a huge square of pegboard for hanging up his tools, and lumber for his workbench, sandpaper and glue and assorted nails, levels and T squares and plumb lines and several gadgets that he had no idea how to use or what they were for.

If Af is the change per unit volume in Gibbs function caused by the shear field at constant P and T, and **yr is the density of the fluid, then the total potential energy of the system above the reference height is Af.

The lines are asymmetric and over the range of field Af gauss and temperature Af the asymmetry increases with increasing Af and decreasing T.

We are trying to study a linear operator T on the finite-dimensional space V, by decomposing T into a direct sum of operators which are in some sense elementary.

We can do this through the characteristic values and vectors of T in certain special cases, i.e., when the minimal polynomial for T factors over the scalar field F into a product of distinct monic polynomials of degree 1.

If we try to study T using characteristic values, we are confronted with two problems.

Second, even if the characteristic polynomial factors completely over F into a product of polynomials of degree 1, there may not be enough characteristic vectors for T to span the space V.

This is clearly a deficiency in T.

The second situation is illustrated by the operator T on Af ( F any field ) represented in the standard basis by Af.

The characteristic polynomial for A is Af and this is plainly also the minimal polynomial for A ( or for T ).

Thus T is not diagonalizable.

If ( remember this is an assumption ) the minimal polynomial for T decomposes Af where Af are distinct elements of F, then we shall show that the space V is the direct sum of the null spaces of Af.

Let T be a linear operator on the finite-dimensional vector space V over the field F.

Let p be the minimal polynomial for T, Af, where the Af, are distinct irreducible monic polynomials over F and the Af are positive integers.

( C ) if Af is the operator induced on Af by T, then the minimal polynomial for Af is Af.

It is certainly clear that the subspaces Af are invariant under T.

If Af is the operator induced on Af by T, then evidently Af, because by definition Af is 0 on the subspace Af.

Thus Af is divisible by the minimal polynomial P of T, i.e., Af divides Af.

If Af are the projections associated with the primary decomposition of T, then each Af is a polynomial in T, and accordingly if a linear operator U commutes with T then U commutes with each of the Af, i.e., each subspace Af is invariant under U.

In the notation of the proof of Theorem 12, let us take a look at the special case in which the minimal polynomial for T is a product of first-degree polynomials, i.e., the case in which each Af is of the form Af.

* T. ( Pteropelyx ) selwyni ( nomen dubium ) Lambe, 1902 ( based on NMC 290, a dentary with teeth, from the Dinosaur Park Formation of Alberta ; too fragmentary to assign beyond Hadrosauridae )

* T. mortuarius ( nomen dubium ; originally Polyonax mortuarius )

* T. sylvestris ( nomen dubium ; originally Agathaumas sylvestris )

* T. atavus ( nomen dubium ) Cope, 1871 ( usually regarded as a specimen of Edmontosaurus regalis, although it predates that species by many years and would have taxonomic priority )

* T. cantabrigiensis ( nomen dubium ) Lydekker, 1888 ( based on BMNH R. 496, a dentary tooth from the late Albian-age Lower Cretaceous Cambridge Greensand, Cambridgeshire, England, regarded as a dubious early hadrosaurid )

* T. longiceps ( nomen dubium ) Marsh, 1897 ( based on YPM 616, a large right dentary with teeth from the late Maastrichtian-age Upper Cretaceous Lance Formation of Wyoming, U. S. A., later assigned to Anatotitan )

Because the holotype of T. formosus is a single tooth, this may render Troodon a nomen dubium.

Following the discovery of Pholidoteuthis boschmai in 1950, T. massaye was placed into Pholidoteuthis, with Tetronoychoteuthis considered a nomen dubium.

Later, the organisms previously called Triactinomyxon dubium and T. gyrosalmo ( class Actinosporea ) were found to be, in fact, triactinomyxon stages of M. cerebralis, the life cycle of which was expanded to include the triactinomyxon stage.

Some sources say veteran prospector Truman H. Aldrich assembled these lands as part of his extensive coal properties, others cite two red-headed brothers, George and E. T. Shuler as having opened the Virginia Mine in 1902.

* T. Millet Hand ( 1902 – 56 ), represented New Jersey's 2nd congressional district in the United States House of Representatives as a Republican from 1945 – 1957.

In 1902, Louis's son George T. Gerlinger organized a group of investors to build railroad lines in the area.

The residents of Shaniko voted to incorporate Shaniko and elected a mayor, F. T. Hurlbert, and other city officials on January 1, 1902.

Prior to 1918 T. G. Masaryk had lectured at the University of Chicago in 1902 and 1907.

Edinburgh: T & T Clark, 1902.

See also Martineau, Types of Ethical Theory ( London, 1902 ); WR Scott, Francis Hutcheson ( Cambridge, 1900 ); Albee, History of English Utilitarianism ( London, 1902 ); T Fowler, Shaftesbury and Hutcheson ( London, 1882 ); J McCosh, Scottish Philosophy ( New York, 1874 ).

Then followed William O ’ Brien ’ s amicable and conciliatory Land Conference of 1902 involving leading landlords under Lord Dunraven and tenant representatives O ' Brien, Redmond, Timothy Harrington and T. W. Russell for the Ulster tenants.

See Life by his son ( 2 vols., London, 1884 ), and a monograph by C. F. G. Masterman ( 1907 ) in “ Leader of the Church ” series ; W. E. Collins in Typical English Churchmen, pp. 327 – 360 ( 1902 ), and T. Hughes in The Friendship of Books ( 1873 ).

He edited the last twelve books of the Odyssey, with valuable appendices on the composition of the poem, its relation to the Iliad and the cyclic poets, the history of the text, the dialects, and the Homeric house ; a critical text of the poems and fragments ( Homeri opera et reliquiae, 1896 ); Homeri opera ( 1902, with T. W. Allen, in the Scriptorum Classicorum Bibliotheca Oxoniensis ); and an edition of the Iliad with notes for schools.

* William T. Sampson ( 1840 – 1902 ), Admiral in the Spanish American War

This subject has been discussed by J. D. Michaelis in the preface to his Arabic grammar, second edition, p29, and by Emil Kautzsch in " Die Poesie und die Poetischen Bücher des A. T ." ( 1902 ).

Alexander T. Brown | Alex T. Brown and John Wilkinson ( Franklin automobile ) | John Wilkinson of H. H. Franklin Manufacturing Company in one of their gasoline automobiles after a record run over rough country roads, February 21, 1902

** J. T. Hatfield, W. Müllers unveröffentlichtes Tagebuch und seine ungedruckten Briefe ( W. Müller's unpublished diary and letters, Deutsche Rundschau, 1902 ).

New York: Press of T. A. Wright, 1902.

Later works by him in this field included: Shakespeare's Sonnets ( 1881 ), Passionate Pilgrim ( 1883 ), Introduction to Shakespeare ( 1893 ), Hamlet ( 1899 ), Romeo and Juliet ( 1900 ), Cymbeline ( 1903 ), and his article ( in the National Review, July 1902 ) on " Shakespeare as a Man of Science ", criticizing T. E.

On July 17, 1902, he sold his interest in the Orioles to Andrew Freedman, principal owner of the Giants, and John T. Brush, principal owner of the Cincinnati Reds, also of the NL.

In 1902, Brodie T. G was the first using a dry-bellowed wedge spirometer.

* T. Millet Hand ( 1902 – 1956 ), represented New Jersey's 2nd congressional district in the United States House of Representatives from 1945 – 1957

Hunt was defeated for reelection in 1902 by Republican John T. Morrison.