Abel sum English

Meaning Abel sum meaning

What does Abel sum mean?

Abel sum noun

— (analysis) Given a power series f(x)= \sum_{n=0}^\infty a_n x^n that is convergent for real x in the open interval (0, 1), the value \lim_{x \rightarrow 1^{-}} \sum_{n=0}^\infty a_n x^n, which is assigned to f(1)=\sum_{n=0}^\infty a_n by the Abel summation method (or A-method).

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News and current affairs

The lesson is obvious: the whole is more than the sum of its parts.

That sum will not come from the poor.

The annual capital inflow is equal each year to the US current-account deficit - the sum of the trade deficit plus the net interest and dividends that America's government and businesses owe to the rest of the world.

If these scraps were to be the sum total of the Nice summit, it will prove unsatisfactory, even a failure.

Non-Western societies often espouse a communitarian ethic that sees society as more than the sum of its individual members, and considers duties to be more important than rights.

In sum, the fact that the US trade balance has defied gravity for so many years has made it possible for the dollar to do so, too.

In sum, the lesson of the new economy is not that one becomes rich without any effort, simply by speculating on the stock market.

In sum, Americans are confronting fundamental differences about the right type of school, pension, and healthcare for the future.

In sum, an incumbent vice president who loses with an economy such as exists in America today should retire to private life.

Too many people think of economics as a zero-sum game, and that China's success is coming at the expense of the rest of the world.

But economics is really a positive-sum game.

Here, too, the sum needed would probably be rather small compared to the overall EU budget.

In sum, certain behavioral innovations seem to appear in Africa between 10,000 and 30,000 years before Neanderthals express them.

Is it naive to believe that the world amounts to more than zero-sum thinking?

Coupled with this is a zero-sum view of the world, in which any Chinese gain in the share of the global economy, or any increased presence in many parts of the world, must be at the expense of the US or other powers.

The World Cup allows all of the supporters of one country to come together at one moment for one game between two groups that must, like them, become more than the sum of their parts.

She is tempted by the shortcut Song promises and allows herself to be seduced by him in turn for a large sum of cash and luxury apartment.

Such diplomatic realism need not lead to zero-sum outcomes, as the example of European integration demonstrates.

Such projects underscore the zero-sum mentality that seemingly characterizes China's water-policy calculations.

The sum of all trade balances in the world is equal to zero, which means that not all countries can be net exporters - and that currency wars end up being zero-sum games.

One hopes that Egypt's defeated Islamists will move from the politics of vengeance to a soul-searching process that leads to the recognition that democracy is not a zero-sum game in which the winner takes all.

The arithmetic of global trade implies that the sum of all trade deficits equals the sum of all trade surpluses.