Following efforts by Lamberto Scannabecchi ( later Pope Honorius II ) and the Diet of Würzburg ( 1121 ) in 1122, Pope Calixtus II and Holy Roman Emperor Henry V entered into an agreement that effectively ended the Investiture Controversy.

Accompanying Callixtus throughout France, he assisted Callixtus in his initial dealings with Holy Roman Emperor Henry V. As a well-known opponent of the emperor's right to select bishops in his territories ( the Investiture Controversy ), Lamberto was a natural choice for papal legate.

The Berlusconi government was succeeded by a technical government headed by Prime Minister Lamberto Dini, which left office in early 1996.

Pope Honorius II ( died 13 February 1130 ), born Lamberto Scannabecchi, was Pope from 21 December 1124 to 13 February 1130.

Lamberto was of simple rural origins, hailing from Fiagnano in the Casalfiumanese commune, near Imola in present-day Italy.

His successor, Pope Paschal II, made Lamberto a Canon of the Lateran before elevating him to the position of cardinal bishop of Ostia in 1117.

Lamberto was one of the cardinals who accompanied Pope Gelasius II into exile in 1118 – 19 and was at his bedside when Gelasius died.

With Gelasius ’ death, Lamberto became a close advisor of Pope Callixtus II.

The Frangipani, led by Leo Frangipani, pushed for the delay in order that they could promote their preferred candidate, Lamberto, but the people were eager to see Saxo de Anagni, the Cardinal-Priest of San Stefano in Celiomonte elected as the next pope.

On 16 December, all the Cardinals, including Lamberto, assembled in the chapel of the monastery of St. Pancratius attached to the south of the Lateran basilica.

He had only just put on the red mantle and the Te Deum was being sung when an armed party of Frangipani supporters ( in a move pre-arranged with Cardinal Aymeric ) burst in, attacked the newly-enthroned Celestine, who was wounded, and acclaimed Lamberto as Pope.

Since Celestine had not been formally consecrated pope, the wounded candidate declared himself willing to resign, but the Pierleoni family and their supporters refused to accept Lamberto, who in the confusion had been proclaimed Pope under the name Honorius II.

* January 13 – Italy's prime minister, Lamberto Dini, resigns after the failure of all-party talks to confirm him.

In 1215 the Pisan Lamberto Visconti, giudice of Gallura, obtained by force from the Torchitorio IV of Cagliari and his wife Benedetta the mount located east of Santa Igia.

Also released in 1908 was the seven minute La bisbetica domata ( La bisbetica domata was also the name under which the 1967 Franco Zeffirelli version would be released in Italy ), directed by Azeglio Pineschi and Lamberto Pineschi.

Michael realizes that the Immobiliare deal is an elaborate conspiracy among Lucchesi, Archbishop Gilday, and Vatican accountant Frederick Keinszig ( Helmut Berger ) to swindle him out of his money, and visits Cardinal Lamberto ( Raf Vallone ), the man favored to become the next Pope, to speak about the deal.

Lamberto convinces Michael to make his first confession in 30 years, in which he tearfully admits to ordering Fredo's murder.

Lamberto tells Michael that he deserves to suffer for his sins, but that his life could still be redeemed.

After the death of Pope Paul VI, Cardinal Lamberto is elected Pope John Paul I, which means that the Immobiliare deal will likely be ratified.

Ten years after, in, Lamberto Cesari changed the continuity requirement in Tonelli's definition to a less restrictive integrability requirement, obtaining for the first time the class of functions of bounded variation of several variables in its full generality: as Jordan did before him, he applied the concept to resolve of a problem concerning the convergence of Fourier series, but for functions of two variables.

He claimed that Sachetti later allowed director Lamberto Bava to direct the project ( under the title Per Sempre / Until Death ) in 1987 without Fulci's knowledge that the film was even being made.

Forza Italia's leader was replaced as prime minister by Lamberto Dini, an independent politician who had been the administration's treasury minister.

He wore tennis shorts and a white sweater with a red V at the neck, the sleeves pushed above the elbows.

Blood dripped down the front of his sweater, soaking into a dark streak of dirt that ran diagonally across the white wool on his shoulder, as though the bright V woven into the neckline had melted, running a darker color.

The battle of the drib-drool continues, but most of New York's knowing sophisticates of Abstract Expressionism are stamping their feet impatiently in expectation of V ( for Vindication ) Day, September first, when Augustus Quasimodo's first one-man show opens at the Guggenheim.

At 100 Amp the 360 cycle ripple was less than 0.5 V ( peak to peak ) with a resistive load.

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.

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.

On the other hand, the null space of Af and the null space of Af together span V, the former being the subspace spanned by Af and the latter the subspace spanned by Af and Af.

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.

Thus the Af are projections which correspond to some direct-sum decomposition of the space V.

Let N be a linear operator on the vector space V.

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

Then there is a diagonalizable operator D on V and a nilpotent operator N in V such that ( A ) Af, ( b ) Af.

Let V be a finite-dimensional vector space over an algebraically closed field F, e.g., the field of complex numbers.

Then every linear operator T in V can be written as the sum of a diagonalizable operator D and a nilpotent operator N which commute.

In the primary decomposition theorem, it is not necessary that the vector space V be finite dimensional, nor is it necessary for parts ( A ) and ( B ) that P be the minimal polynomial for T.

Let N be a positive integer and let V be the space of all N times continuously differentiable functions F on the real line which satisfy the differential equation Af where Af are some fixed constants.

If Af denotes the space of N times continuously differentiable functions, then the space V of solutions of this differential equation is a subspace of Af.

If D denotes the differentiation operator and P is the polynomial Af then V is the null space of the operator p (, ), because Af simply says Af.

Let us now regard D as a linear operator on the subspace V.

If we are discussing differentiable complex-valued functions, then Af and V are complex vector spaces, and Af may be any complex numbers.

In the C-plane we construct a set of rectangular Cartesian coordinates u, V with the origin at Q and such that both C and Af have finite slope at Q.

The photocathode sensitivities S, phosphor efficiencies P, and anode potentials V of the individual stages shall be distinguished by means of subscripts 1, and 2, in the text, where required.

The luminous gain of a single stage with Af ( flux gain ) is, to a first approximation, given by the product of the photocathode sensitivity S ( amp / lumen ), the anode potential V ( volts ), and the phosphor conversion efficiency P ( lumen/watt ).