For example, operation preserving functions exist between the set of real numbers with addition and the set of positive real numbers with multiplication.

(Arora and Barak, 2009, theorem 1.9) Comparison with real machines It is often said that Turing machines, unlike simpler automata, are as powerful as real machines, and are able to execute any operation that a real program can.

It's based on a real life experience.

The complex numbers and other field extensions The set of complex numbers , i.e., numbers that can be written in the form for real numbers and where is the imaginary unit, form a vector space over the reals with the usual addition and multiplication and for real numbers , , , and .

This story was inspired by true events.

Both colonies became royal colonies in 1729.

Two and a half thousand pounds.

Actual costs.

In principle , the operation is finished .

RTGS systems enable payments to be processed on an order by order basis in real time .

The reports said that the operation can include the wireless operation on each market.

For example, a universe in which physics involves real numbers, as opposed to computable reals, might fall into this category.

So what we want is studies in real human people.

Soldiers conducting a clearing operation in Marawi.

These are real.

These are real.

For instance, a product of four elements may be written in five possible ways ((ab)c)d (ab)(cd) (a(bc))d a((bc)d) a(b(cd))If the product operation is associative, the generalized associative law says that all these formulas will yield the same result, making the parenthesis unnecessary.

I thought about charging 50 reals an hour.

In 1936 Desgrange had a prostate operation.

By June 1943, all four crematoria were operational.

There are real concerns there.

There are no real visions.

What about real people?

These pearls look real.

It's our real social lives themselves that are transmuted into art.

This is a 10,000 machine which was available in Mumbai.

domestic demand net exports real GDP 1 ) 1.5 1.5

3 ) As a contribution to real GDP growth

These storylines are reminiscent of real life corruption cases in China.

The game gives the player a variety of weapons based on the war.

And there were days when I had to choose between paying R 3 for the bus fare or buying something to eat.

For instance, the sequence of the first 10 square numbers could be written as formula_2This represents the sequence (1,4,9...100).

Those are actual pictures of actual apartments renting for that amount as advertised on the Internet.

Valuation Transaction

Angra II was completed in 2002 and is in operation too.

Purchase date the date on which the sale of purchased assets by the seller to the buyer becomes effective .

Announcement of longer term refinancing operation Allotment of longer term refinancing operations Settlement of longer term refinancing operations

Prepend timestamps to log messages, for batch operation

In each foreign exchange swap operation , the Eurosystem and the counterparties agree on the swap points for the transaction .

Flight pilots practice in flight simulators so that they don't make real mistakes in planes.

That's from real data.

ECB Annual Report 1999 incurred .

100,000 reais (US 25,000), or something like that...

We are winning in the real polls.

I have a deposit of a thousand dollars here.