Chart B Yield spreads between selected sovereign bonds and German government bonds ( daily data basis points ) Ireland Greece Spain France Italy

Math, differential equations.

Differentials against Germany B E

Graphical ODE simulator

Here's differential productivity rates.

This widening of spreads can be partly explained by the usual sluggishness of the pass through from market rates to retail rates , but it may also be attributed in part to an increase in credit risk associated with the general economic downturn in 2001 , as reflected , for instance , in the widening of corporate bond spreads in

Some inflation and cost differentials are normal in a monetary union .

The level of the applicable credit spread strongly depends on national market characteristics and is therefore proposed by the NCB after analysing the available market data .

Differential equations are equations involving derivatives.

We're talking about books on hyper geometric partial differential equations.

The credit spreads are ultimately subject to approval by the ECB .

His doctoral thesis was in the field of differential equations.

Alternatively, the governing differential equations may be used formula_92and formula_93.

31 Difference between the market and basket ECU rates .....

it cannot address inflation differentials , in the same way that monetary policy in a single country cannot reduce inflation differentials across regions or cities .

In some Member States which enforce a concentration rule , spreads are as high or higher than spreads in Member States which do not .

Cross country differentials in real output growth and inflation are not particularly large when compared with those across US states and regions .

The widening of the spreads reflected the increase in banks funding costs .

By contrast , Germany and Austria have observed persistently negative inflation differentials .

Later on , however , corporate bond spreads widened when market participants became concerned about the reliability of the financial disclosures made by corporations , particularly in the United States but also in the euro area .

The experience of the United States confirms the existence of inflation differentials within a Monetary Union and indicates that those recently prevailing among euro area countries are also not unusually large .

This brought Greek bond spreads near to their early year peaks , while most other euro area sovereign spreads were much less affected ( see Box 7 ) .

In general, little is known about nonlinear second order differential equations.

We have the only cookbook in the world that has partial differential equations in it.

Liquidity differentials only play a role in conjunction with this latter factor .

Within the EU bond yield differentials tended to narrow .

US and German 10 year bond yields and yield differentials German

This was reflected in significant declines in money market rates and money market spreads .

Inflation differentials are modest

Many questions and methods concerning differential equations have counterparts for difference equations.

Flow velocity The solution of the Navier Stokes equations is a flow velocity.

Constructing mechanisms of this kind would have required a sophisticated knowledge of differential gearing.

Note These are cumulative changes in spreads excluding the days on which changes in the underlying benchmark bond occurred , since benchmark changes usually lead to jumps in the measured spreads .

As Box 3 shows , rising credit risk , indicated by a widening of corporate bond spreads , is typically associated with higher spreads of bank lending rates over market rates .

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They were also small when compared with the inflation spreads within the euro area .

These spreads , despite having declined , remained at elevated levels in early 2008 .

As a result , sovereign bond spreads for some euro area countries widened further . The most remarkable spread widening between end December 2009 ECB Annual Report 2009

However , changes in import costs seem to have also contributed to inflation differentials .

Difference equations are similar to a differential equations, but replace differentiation by taking the difference between adjacent terms they can be used to approximate differential equations or (more often) studied in their own right.

INFLATION AND OUTPUT GROWTH DIFFERENTIALS BETWEEN EURO AREA COUNTRIES The members of the European Parliament addressed the inflation and output growth differentials between euro area countries .

In the subsequent months interest rate differentials declined somewhat , but in January 1999 , at 850 basis points , they were only marginally below the differentials at the beginning of the reporting period .

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Just as ordinary differential equations often model one dimensional dynamical systems, partial differential equations often model multidimensional systems.

During the 1860s James Maxwell developed four partial differential equations for the electromagnetic field.