Mathematicians

If he surveyed 45 students, it is not clear where the 15 came from, and conversely. 3/45 = 12/180 so the answer is 12.

Judgment call. 'Best' in what way? I like Leonhard Euler (1707-1783) but there are many other candidates.

he died by old age on on May 2, 1519 at the age of 67

Many measures of profitability of a hotel are based on ratios, proportions or percentages. For example, the occupancy rate is the ratio of the number of occupied room-nights to the total number of room-nights (or the proportion). Another contributor to the profitability is the percentage mark-up on food and drink which the hotel serves. A measure of a hotel's "success" is the percentage of the customers in its price range which it manages to attract and how that proportion changes with percentage discounts offered on rooms.

Go to the mode with the blinking white light. Press and hold the button. The light will blink faster and faster. Eventually the light will become solid. Keep the button held down. It will change to green and red (Christmas). Keep going and you will get to red white and blue (fourth of Jul).

In reimann stieltjes integral if we assume a(x) = x then it becomes reimann integral so we can say R-S integral is generalized form of reimann integral.

The Laplace transform is related to the Fourier transform, but whereas the Fourier transform expresses a function or signal as a series of modes ofvibration (frequencies), the Laplace transform resolves a function into its moments. Like the Fourier transform, the Laplace transform is used for solving differential and integral equations.

As far as I know, there is no difference. "Math" is just short for "Mathematics".

Address: GlaxoSmithKline plc, 980 Great West Road, Brentford, Middlesex TW8 9GS, United Kingdom; http://www.gsk.com

Very few original accounts of Euclid survive, so little can be told about his life, much less early life. He was considered the "Father of Geometry," The only historical references to Euclid were written centuries after he lived, by Proclus, a Greek philosopher.

Apollonius of Perga was known as 'The Great Geometer'.

Rationalization is the process of converting the irrational denominator of a given fraction into rational by multiplying and dividing by suitable terms.

For example, consider,

2/3√2

Here the denominator is an irrational number

to rationalize this fraction follow the steps:

• Find a number which on multiplying with denominator returns a rational number( here √2 * √2 will give 2 which is a rational number ).
• Multiply numerator and denominator with the number you just found {(2/3√2) becomes (2/3√2)(√2/√2) = 2√2/6)

Now the rationalized result is 2√2/6

there are rumors that they died of the same sickness that Charles Babbage died of

Irrational numbers are decimal numbers that can't be expressed as fractions. An example is the square root of 2

That would be "Archimedes' screw". See link provided:

I think it could be Aristotle. He started empiricism and started classifying and identifying things into sets. Sets are one of the most fundamental concepts in Logic. Math is definitely very rooted to Logic.

But you can also put it down as Aristotle being the very first Scientist, so

Jennifer Connelly won an Oscar for Best Actress in a Supporting Role for playing Alicia Nash in A Beautiful Mind(2001)

Giordano Bruno

1 - 2n

The question is unreadable. On this website, some symbols get eliminated in the question; you must type them out; for example, write "equals" instead of an equal sign.

Johann Friedrich Adolf von der Marwitz was born in 1723.

The number of 1937 Nash Lafayette 400 cars that were produced was 85,949. This model had a wheelbase of 117.0 inches.

//By rohan import java.text.DecimalFormat; public class EnglishNumberToWords { private static final String[] tensNames = { "", " ten", " twenty", " thirty", " forty", " fifty", " sixty", " seventy", " eighty", " ninety" }; private static final String[] numNames = { "", " one", " two", " three", " four", " five", " six", " seven", " eight", " nine", " ten", " eleven", " twelve", " thirteen", " fourteen", " fifteen", " sixteen", " seventeen", " eighteen", " nineteen" }; private static String convertLessThanOneThousand(int number) { String soFar; if (number % 100 < 20){ soFar = numNames[number % 100]; number /= 100; } else { soFar = numNames[number % 10]; number /= 10; soFar = tensNames[number % 10] + soFar; number /= 10; } if (number == 0) return soFar; return numNames[number] + " hundred" + soFar; } public static String convert(long number) { // 0 to 999 999 999 999 if (number == 0) { return "zero"; } String snumber = Long.toString(number); // pad with "0" String mask = "000000000000"; DecimalFormat df = new DecimalFormat(mask); snumber = df.format(number); // XXXnnnnnnnnn int billions = Integer.parseInt(snumber.substring(0,3)); // nnnXXXnnnnnn int millions = Integer.parseInt(snumber.substring(3,6)); // nnnnnnXXXnnn int hundredThousands = Integer.parseInt(snumber.substring(6,9)); // nnnnnnnnnXXX int thousands = Integer.parseInt(snumber.substring(9,12)); String tradBillions; switch (billions) { case 0: tradBillions = ""; break; case 1 : tradBillions = convertLessThanOneThousand(billions) + " billion "; break; default : tradBillions = convertLessThanOneThousand(billions) + " billion "; } String result = tradBillions; String tradMillions; switch (millions) { case 0: tradMillions = ""; break; case 1 : tradMillions = convertLessThanOneThousand(millions) + " million "; break; default : tradMillions = convertLessThanOneThousand(millions) + " million "; } result = result + tradMillions; String tradHundredThousands; switch (hundredThousands) { case 0: tradHundredThousands = ""; break; case 1 : tradHundredThousands = "one thousand "; break; default : tradHundredThousands = convertLessThanOneThousand(hundredThousands) + " thousand "; } result = result + tradHundredThousands; String tradThousand; tradThousand = convertLessThanOneThousand(thousands); result = result + tradThousand; // remove extra spaces! return result.replaceAll("^\\s+", "").replaceAll("\\b\\s{2,}\\b", " "); } /** * testing * @param args */ public static void main(String[] args) { System.out.println("*** " + EnglishNumberToWords.convert(0)); System.out.println("*** " + EnglishNumberToWords.convert(1)); System.out.println("*** " + EnglishNumberToWords.convert(16)); System.out.println("*** " + EnglishNumberToWords.convert(100)); System.out.println("*** " + EnglishNumberToWords.convert(118)); System.out.println("*** " + EnglishNumberToWords.convert(200)); System.out.println("*** " + EnglishNumberToWords.convert(219)); System.out.println("*** " + EnglishNumberToWords.convert(800)); System.out.println("*** " + EnglishNumberToWords.convert(801)); System.out.println("*** " + EnglishNumberToWords.convert(1316)); System.out.println("*** " + EnglishNumberToWords.convert(1000000)); System.out.println("*** " + EnglishNumberToWords.convert(2000000)); System.out.println("*** " + EnglishNumberToWords.convert(3000200)); System.out.println("*** " + EnglishNumberToWords.convert(700000)); System.out.println("*** " + EnglishNumberToWords.convert(9000000)); System.out.println("*** " + EnglishNumberToWords.convert(9001000)); System.out.println("*** " + EnglishNumberToWords.convert(123456789)); System.out.println("*** " + EnglishNumberToWords.convert(2147483647)); System.out.println("*** " + EnglishNumberToWords.convert(3000000010L)); /* OUTPUT WILL BE LIKE THIS *** zero *** one *** sixteen *** one hundred *** one hundred eighteen *** two hundred *** two hundred nineteen *** eight hundred *** eight hundred one *** one thousand three hundred sixteen *** one million *** two millions *** three millions two hundred *** seven hundred thousand *** nine millions *** nine millions one thousand *** one hundred twenty three millions four hundred ** fifty six thousand seven hundred eighty nine *** two billion one hundred forty seven millions ** four hundred eighty three thousand six hundred forty seven *** three billion ten **/ } }

It is claimed thaht he got his inspiration while in bed - and watching a fly (or some bug) on the ceiling. He worked out that he could describe the bug's position on the ceiling using coordinates. And the rest, as they say, is history.