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The velocity vector u \displaystyle u of the fluid may be written in terms of the stream function ψ \displaystyle \psi as:
Using the polar form of z \displaystyle z results in z n = r n e i n θ , z ¯ n = r n e − i n θ \displaystyle z^ n =r^ n e^ in heta , \bar z ^ n =r^ n e^ -in heta . After deriving the series form of u and substituting this into it along with r = 1 \displaystyle r=1 , and changing some indices, the second boundary condition translates to:
whenever | z | = 1 \displaystyle |z|=1 , 5 6 and by representing the functions f , g \displaystyle f,g as Laurent series: 7
Hence, the octal equivalent of the decimal number 83 is (123).
Ex1: Convert (83)10 decimal number to octal number (?)8 using division method 1st Division Iteration
In earlier post, we have seen the procedure for converting a given decimal number to its equivalent binary number.
It's no secret that couples can do a lot of really weird things together. However, there are also a number of things every couple should do together — and yes, some ...
Premier Barry O'Farrell has called for priests to be subject to mandatory reporting laws when it comes to child sexual abuse, after stating on Tuesday he could ...
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But Wall Street is predicting strong earnings growth for this year and next. Analysts expect profits to increase more than 50% in 2016 and another 27% in 2017. Despite that, the stock trades for only 22.5 times 2016 earnings estimates.
Related: Kentucky Derby by the numbers
You're probably better off investing in the track as opposed to throwing your money away at the track.
Vanguard and BlackRock are large holders of the stock. So are the funds run by legendary stock pickers George Soros and Mario Gabelli.
That's a good sign. Just like professional handicappers scour through the bloodlines of horses to try and pick winners, investors should always look to see if a stock is being backed by investors with a proven track record of success.
Only 20% of the company's overall revenue last year came from its racing division. The biggest moneymaker for Churchill Downs was Big Fish Games, a developer of PC and mobile games that it acquired in 2014. Big Fish accounted for nearly 35% of sales.
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Microsoft said on Thursday it has agreed to acquire Hexadite, a U.S.-Israeli provider of technology to automate responses to cyber attacks.
In May, Israeli financial news website Calcalist said Microsoft would pay $100 million for Hexadite, which is headquartered in Boston with its research and development center in Israel.
Microsoft Executive VP of Windows and Devices Terry Myerson Justin Sullivan/Getty Images
Terry Myerson, executive vice president of Windows and Devices Group at Microsoft, said Hexadite will enable the company to add new tools and services to Microsoft’s enterprise security offerings.
Microsoft said in January it plans to continue to invest more than $1 billion annually on cyber security research and development in the coming years. Israel has already benefited from that investment.
Hexadite says its technology increases productivity and reduces costs for businesses.
Get the latest Microsoft stock price here.
Investors in Hexadite include Hewlett Packard Ventures, and venture capital firms TenEleven and YL Ventures.
It may be tedious to search for current exchange rates every time when you need to convert currencies. Kutools for Excel's Currency Conversion tool can provide all kinds of current exchange rates, and convert any currencies quickly and conveniently.
Step 3: Then click Fill options button, in the Fill options dialog box, choose one output type that you want and close the box, and also you can specify the dicimal place of the out put result, see screenshot:
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I like having instant access to real time stock quotes The stock charts are also easy access and give a quick appraisal of bullish or bearish sentiment, whether investors are moving in or out of a stock. The only negative of this app is the limitation of being able to track a maximum of 25 stocks.
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New review: new version fixes chart issues from previous versions. 1m and 3m charts are different from the rest but appear accurate. Old review: I have used this app for what seems like forever. It is the only app I have consistently used and trusted for realtime stock data since all the way back to the iPhone 3G. I highly recommend it. The only thing I would add to this wonderful app is a 1 month performance chart. Jumping from a 5 day view to 3 month view leaves and opportunity for something in between. Still this is minor. Great app!
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2. For a further discussion of this distinction, see Edwin M. Truman (2010), "The International Monetary System and Global Imbalances " (Washington: Peterson Institute for International Economics, January). Return to text
We must also strengthen the international monetary system. We need a system characterized by more open capital accounts, flexible exchange rates, and independent monetary policies. Open capital accounts, supported by appropriate financial supervision and regulation, channel savings to their most productive uses, thereby enhancing welfare. Exchange rate flexibility improves domestic macroeconomic management, allowing countries to pursue independent monetary policies tailored to their individual needs, and limits unwelcome spillovers to other economies. Such a system can also flexibly adapt to changing economic and financial realities as countries develop, technology progresses, and shocks buffet the global economy.
The conclusion I draw from these and other financial crises is that we must strengthen both the financial system and the monetary system to create a more stable and less crisis-prone global economy. Improving the international financial system requires better management of national financial sectors and also enhanced international cooperation and coordination, because in a globalized economy with strong, complex, cross-border linkages, even domestic financial stresses can have serious international repercussions.
Inflexible exchange rates in these countries have tended to inhibit adjustment of unsustainable global imbalances in trade and capital flows. Indeed, as I noted, such imbalances appear to have fostered the buildup of vulnerabilities in the run-up to the recent financial crisis. Countries with current account surpluses and restricted capital flows have been able to resist currency appreciation for prolonged periods, even when justified by underlying fundamentals. In principle, adjustment of imbalances could occur if countries permitting relatively limited movements in nominal exchange rates allow their national price levels to adjust over time. But sterilization operations and other policy tools can, and often have, restrained such adjustment. Meanwhile, countries with current account deficits should take steps to increase national saving, including by putting in place credible plans to reduce their fiscal deficits in the longer run.
The international monetary system, in effect, still suffers from the same asymmetry that bedeviled the Bretton Woods system--namely, a marked differential in the pressures facing surplus and deficit countries to permit automatic adjustments or to undertake policy to reduce persistent global imbalances. Surplus countries can resist adjustment by restricting capital flows and exchange rate movements, but deficit countries are forced to adjust when they run out of international reserves or lose access to external borrowing. This asymmetry has served to inhibit the global rebalancing process, and it could threaten the ongoing recovery: If deficit countries curtail spending without offsetting spending increases in the surplus countries, aggregate demand would decline, with adverse consequences for the global economy.
Had the additional domestic credit associated with these capital inflows been used effectively, the imbalances need not have led to financial ruin. In the United States and other countries with current account deficits, however, borrowing too often supported excessive spending on housing and consumption, rather than financing productive investment. Most important, declines in underwriting standards, breakdowns in lending oversight by investors and rating agencies, increased use of opaque financial products, and more-general inadequacies in risk management by private financial institutions helped foster a dangerous and unsustainable credit boom. With the financial system evolving rapidly, supervisors and regulators, both in the United States and in many other countries, failed to recognize and address the mounting vulnerabilities. In short, these failures rooted in the financial system interacted with weaknesses in the global monetary system to create stresses and instabilities that eventually triggered--and amplified--the recent financial crisis and subsequent recession.
Countries need to work together to ensure that weaknesses in the global financial system are recognized and addressed. I am encouraged by the progress we have made in strengthening the banking sector through the capital and liquidity requirements of Basel III. We have also made important strides in improving international cooperation and coordination in the supervision of systemically important financial institutions, whose operations and exposures span numerous jurisdictions. That said, we need to continue working toward viable resolution mechanisms for these institutions. Further work is also needed to improve our macroprudential approach to managing vulnerabilities. And we must collaborate to ensure that risky activities do not migrate to the shadows of the financial system in an attempt to circumvent regulatory authorities.
Thus, in my view, we need to continue working toward an international monetary system characterized by more-flexible exchange rates, open capital accounts, and independent monetary policies that will facilitate the adjustment of global imbalances. But we must recognize that countries face diverse challenges in such a transition. For countries with undervalued currencies, the adoption of more-flexible exchange rates requires an internal shift in resources across sectors--a transition that takes time. As noted earlier, the recent crisis has also uncovered numerous flaws in the functioning of regulation of our financial system, and these, too, will take time to correct. Finally, although I have not addressed this concern in my remarks today, the expansion of public-sector deficits and debts in many countries poses very serious medium- to long-run risks for both the international monetary and financial systems that will need to be addressed.
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