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.

Considering the laws of variation, only costs that vary totally with units of output ( see definition of T below for TVC ) e. g. raw materials, are allocated to products and services which are deducted from sales to determine Throughput.

Considering the flow diagram of the continuous state leaky bucket algorithm, in which T is the emission interval and τ is the limit value: What happens when a cell arrives is that the state of the bucket is calculated from its state when the last conforming cell arrived, X, and how much has leaked out in the interval, t < sub > a </ sub > – LCT.

Considering the whole equivalence class of measures ν, equivalent to μ, it is also the same to say that T preserves the class as a whole, mapping any such measure to another such.

It says that for any first-order theory T with a well-orderable language, and any sentence S in the language of the theory, there is a formal proof of S in T if and only if S is satisfied by every model of T ( S is a semantic consequence of T ).

Precisely, we can systematically define a model of any consistent effective first-order theory T in PA by interpreting each symbol of T by an arithmetical formula whose free variables are the arguments of the symbol.

Under such conditions every formula of the form, where ( T ) is a string of quantifiers containing all quantifiers in ( S ) and ( S ') interleaved among themselves in any fashion, but maintaining the relative order inside ( S ) and ( S '), will be equivalent to the original formula Φ '( this is yet another basic result in first-order predicate calculus that we rely on ).

In the first-order phase transition the range of (< i > P, V, T </ i >), where the liquid phase and the gas phase are in equilibrium, it does not exhibit the empirical fact that < var > p </ var > is constant as a function of < i > V </ i > for a given temperature: although this behavior can be easily inserted into the van der Waals model ( see Maxwell's correction below ), the result is no longer a simple analytical model, and others ( such as those based on the principle of corresponding states ) achieve a better fit with roughly the same work.

Let T be a first-order theory in the language of arithmetic and capable of representing all computable functions.

Let T denote the set of L-sentences true in N, and T * the set of Gödel numbers of the sentences in T. The following theorem answers the question: Can T * be defined by a formula of first-order arithmetic?

" It is possible to define a formula True ( n ) whose extension is T *, but only by drawing on a metalanguage whose expressive power goes beyond that of L. For example, a truth predicate for first-order arithmetic can be defined in second-order arithmetic.

The thought " John is tall " is clearly composed of two sub-parts, the concept of John and the concept of tallness, combined in a manner that may be expressed in first-order predicate calculus as a predicate ' T ' (" is tall ") that holds of the entity ' j ' ( John ).

When a speaker addresses somebody using the V form instead of the T form, they index ( via first-order indexicality ) their understanding of the need for deference to the addressee.

Silverstein comments that while exhibiting a basic level of first-order indexicality, the T / V system also employs second-order indexicality vis-à-vis ' enregistered honorification '.

Therefore, people will use T / V deference entailment in 1 ) a first-order indexical sense that distinguishes between speaker / addressee interpersonal values of ' power ' and ' solidarity ' and 2 ) a second-order indexical sense that indexes an interlocutor's inherent " honor " or social merit in employing V forms over T forms in public contexts.

A sentence σ is independent of a given first-order theory T if T neither proves nor refutes σ ; that is, it is impossible to prove σ from T, and it is also impossible to prove from T that σ is false.

It is a term suggested by Peter T. Daniels to replace the common terms " consonantary ", " consonantal alphabet " or " syllabary " to refer to the family of scripts called West Semitic.

Using terms from formal language theory, the precise mathematical definition of this concept is as follows: Let S and T be two finite sets, called the source and target alphabets, respectively.

However the duration of the filter's impulse response, and the number of terms which must be summed for each output value ( according to the above discrete time convolution ) is given by where T is the sampling period of the discrete time system ( N-1 is also termed the order of an FIR filter ).

The time scale represented by T < sub > eph </ sub > has been characterized as a relativistic coordinate time that differs from Terrestrial Time only by small periodic terms with an amplitude not exceeding 2 milliseconds of time: it is linearly related to, but distinct ( by an offset and constant rate which is of the order of 0. 5 sec / yr ) from the TCB time scale adopted in 1991 as a standard by the IAU.

As of December 2006, Jones was one of five serving Marine Corps four-star general officers who outranked the current commandant of the Marine Corps ( General James T. Conway ) in terms of seniority and time in grade — the others being Chairman of the Joint Chiefs of Staff Peter Pace ; former commandant Michael Hagee, commander of U. S. Strategic Command James E. Cartwright, and Assistant Commandant Robert Magnus.

The phase velocity is given in terms of the wavelength λ ( lambda ) and period T as

( as opposed to the general G = T theory ) was amenable to exact solutions in terms of a generalization of the Lambert W function.

Note that some mathematical literature uses different definitions for the term " completely regular " and the terms involving " T ".

In Wikipedia, we will use the terms " completely regular " and " Tychonoff " freely, but we'll avoid the less clear " T " terms.

Gibbs's papers from the 1870s introduced the idea of expressing the internal energy U of a system in terms of the entropy S, in addition to the usual state variables of V ( volume ), p ( pressure ), and T ( temperature ).

In 1982, AT & T and the Justice Department agreed on tentative terms for settlement of anti-trust suit filed against AT & T in 1974, under which AT & T divested itself of its local telephone operations, which became known as the " Baby Bells.

Restated in terms of the wavelength, the distributions at corresponding wavelengths are related, where corresponding wavelengths are at locations proportional to 1 / T.

This is sometimes written as V = k T, where k is a constant dependent on the type, mass, and pressure of the gas and T is temperature on an absolute scale ( in terms of the ideal gas law, k = n · R / P ).

Although the definitions presented here for " regular " and " T < sub > 3 </ sub >" are not uncommon, there is significant variation in the literature: some authors switch the definitions of " regular " and " T < sub > 3 </ sub >" as they are used here, or use both terms interchangeably.

We say that the base generates the topology T. Bases are useful because many properties of topologies can be reduced to statements about a base generating that topology, and because many topologies are most easily defined in terms of a base which generates them.

a transcendental equation in terms of applied and measured voltages and the unknown T < sub > e </ sub > that in the limit eV < sub > Bias </ sub >

Richard Mulcahy said, " It is in terms of the Nation and its needs and its potential that I praise God who gave us in our dangerous days the gentle but steel-like spirit of rectitude, courage and humble self-sacrifice, that was Liam T. Cosgrave ".

Having been re-elected unopposed in 1983, Hillery ( until then ) shared the distinction with Seán T. O ' Kelly and Éamon de Valera of serving two full terms as President of Ireland.

If we had always been brought up to think in terms of " grue " and " bleen " ( where bleen is blue before time T, or green thereafter ), we would intuitively consider " green " to be a crazy and complicated predicate.

The prognostications under the Liubo diagram are headed with one of nine terms that correspond to the words of an enigmatic, mnemonic rhyme about Liubo written by Xu Bochang ( 許博昌 ) during the reign of Emperor Wu of Han ( 141 BCE – 87 BCE ); Lillian Tseng ( Zeng Lanying ) argues that these are the names for particular points on the board ( the two lines of the " V " mark, the two lines of the " L " mark, the two lines of the " T " mark, the circle or line between the corner and the central square, the outside edge of the central square, and the inside of the central square ).