Computation of the Fractional Fourier Transform Adhemar Bultheel and H´ctor E. Mart´ e ınez Sulbaran 1 Dept. of Computer Science‚ Celestijnenlaan 200A‚ B-3001 Leuven Abstract In this note we make a critical comparison of some matlab programs for the digital computation of the fractional Fourier transform that are freely available and we describe our own implementation that filters the best out of the existing ones. Two types of transforms are considered: First the fast approximate fractional Fourier transform
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specific method for this separation in crude oil is known as fractional distillation. Fractional distillation is carried out by heating the petroleum to 400 °C. As every hydrocarbon in petroleum has it a particular boiling point‚ by doing so‚ they will separate out and then be collected. The portion that remains thick at 400 °C falls to the bottom of the tower is removed and forms bitumen or asphalt. The mixture of vapours that enters the fractional distillation tower starts to condense as the temperature
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An Explanation of the Legal Reserve System The economic challenges that we face in today’s world have become second only to the great depression. The recent collapses of banks and large corporations in our country have made people scramble for a place that has security. We are asked often‚ "Where can we place assets that provide safety and security in uncertain times"? One place that should be considered is life insurance companies that have a Legal Reserve classification. Life companies that comply
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Fractional distillation was used in this experiment. This is one of two ways for distillation‚ the other being simple distillation. However‚ with a simple distillation‚ the difference of boiling points between the substances must be more than 40 to 50 degrees C. A fractional distillation column is needed in a fractional distillation. The column in a fractional distillation column provides a temperature gradient where the temperature is lower at the top of the column and the temperature is greater
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In today’s economic times of futility‚ the Federal Reserve of the United States has been rising in prominence in the media and news. But what exactly does the Federal Reserve do and what is its role in the country’s economy? The Federal Reserve is actually a more recent addition to the country’s economic system and is in fact something that the Federal Government fought against for a long period of time. The Federal Reserve had to go through a tough process to be implemented‚ but has been standing
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Federal Reserve Luke SkyScrapper Finance 366 January 30‚ 2012 Joseph Vader Federal Reserve Federal reserve is the backbone of the US economy. The Federal Reserve serves as our country nation’s bank. The fed functions are to regulate our major financial institutions and control the flow of money in our country. The Federal Reserve System was created by the Congress because of the Federal Reserve Act in 1913 to fix some flaws of the national banking systems that become clearly visible
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Distillation is a commonly used method for purifying liquids and separating mixtures of liquids into their individual components. Familiar examples include the distillation of crude fermentation broths into alcoholic spirits such as gin and vodka‚ and the fractionation of crude oil into useful products such as gasoline and heating oil. In the organic lab‚ distillation is used for purifying solvents and liquid reaction products. To understand distillation‚ first consider what happens upon heating
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Report on Foreign Exchange Reserves Reserve Bank of India Central Office Mumbai 2005-06 (covering period up to March 2006) Content Movement of Reserves 1. Introduction 2. Review of Growth of Reserves since 1991 3. Sources of Accretion to Reserves in the Recent Period 4. External Liabilities vis-à-vis Foreign Exchange Reserves 5. Prepayment/Repayment of External Debt 6. Financial Transaction Plan (FTP) of IMF 7. Adequacy of Reserves 8. Investment Pattern and Earnings from
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content 1.0 Banking risk 2 1.1 Credit Risk 2 1.2 Illegal lending risk 3 1.3 Illegal fund-raising risk 3 1.4 Financial swindling risk 3 2.0 Bank Risk Classification 4 2.1 Credit Risk 4 This is the main risk of commercial banks. Means of access to bank credit to support the possibility of a debtor can not repay on time and in accordance with the contractual principal and interest. In today’s commercial banking business diversification‚ not only the traditional credit risk remains a major
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Functions of Reserve Bank of India The Reserve Bank of India Act of 1934 entrust all the important functions of a central bank the Reserve Bank of India. Bank of Issue Under Section 22 of the Reserve Bank of India Act‚ the Bank has the sole right to issue bank notes of all denominations. The distribution of one rupee notes and coins and small coins all over the country is undertaken by the Reserve Bank as agent of the Government. The Reserve Bank has a separate Issue Department which is
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