Ala-eh! BATANGAS: Pebrero 2012

Martes, Pebrero 21, 2012

e mathematical constant Holy May Faral

The number $e$ is an important mathematical constant, approximately equal to 2.71828, that is the base of the natural logarithms. It is the limit of

(1 + 1/ n) n

n

becomes large, an expression that arises in the study of compound interest, and can also be calculated as the sum of the series

e = 2 + 1/2 + 1/(2 \times 3) + 1/(2 \times 3 \times 4) + 1/(2 \times 3 \times 4 \times 5) + \dots

The constant can be defined in many ways; for example,

e

is the unique real number such that the value of the derivative (slope of thetangent line) of the function

f (x) = e x

at the point

x = 0

is equal to 1. The function

e x

so defined is called the exponential function, and its inverse is the natural logarithm, or logarithm to base

e

. The natural logarithm of a positive number k can also be defined directly as the area under the curve

y = 1/ x

between

x = 1

and

x = k

, in which case,

e

is the number whose natural logarithm is 1. There are also more alternative characterizations.

Sometimes called Euler's number after the Swiss mathematician Leonhard Euler,

e

is not to be confused with

γ

—the Euler–Mascheroni constant, sometimes called simply Euler's constant. It is also known as Napier's constant, but Euler's choice of the symbol

e

is said to have been retained in his honor. The number

e

is of eminent importance in mathematics,^[5] alongside 0, 1,

π

and

i

. All five of these numbers play important and recurring roles across mathematics, and are the five constants appearing in one formulation of Euler's identity. Like the constant

π

e

is irrational: it is not a ratio of integers; and it is transcendental: it is not a root of any non-zeropolynomial with rational coefficients. The numerical value of

e

truncated to 50 decimal places is

2.71828182845904523536028747135266249775724709369995... (sequence A001113 in OEIS).

Presidents of the Italian Republic by:Holy May Faral

Presidents of the Italian Republic (1946-present)

Enrico De Nicola ( 9 November 1877 – 1 October 1959) was an Italian jurist, journalist, politician, and provisional Head of State of the newborn republic of Italy from 1946 to 1948.

Enrico De Nicola was born in Naples and became famous as one of the most esteemed penal lawyers in Italy. As a Liberal he was elected adeputy for the first time in 1909 and, from 1913 to 1921, he filled minor governmental posts until the advent of fascism, when he retired from political life.

Luigi Einaudi (March 24, 1874 – October 30, 1961) was an Italian politician and economist. He served as the second President of the Italian Republic between 1948 and 1955.

On May 11, 1948 he was elected the second President of the Italian Republic. At the end of the seven year term of office in 1955 he becameLife Senator. Einaudi was a member of numerous cultural, economic and university institutions.

Giovanni Gronchi (10 September 1887 – 17 October 1978) was a Christian Democratic Italianpolitician who became the third President of the Italian Republic in 1955, after Luigi Einaudi. His presidency lasted until 1962 and was marked by a controversial and failed attempt to bring about an “opening toHe was born at Pontedera, Tuscany, and was an early member of the Christian Movement founded by the Catholic priest don Romolo Murriin 1902.

Antonio Segni (2 February 1891 – 1 December 1972) was an Italian politician who was the 35th Prime Minister of Italy (1955–1957, 1959–1960), and the fourth President of the Italian Republic from 1962 to 1964. Adhering to the centristChristian Democratic party (Italian: Democrazia Cristiana – DC), he was the first Sardinian ever to become Prime Minister of ItaSegni was elected President of the Italian Republic on 6 May 1962 (854 to 443 votes).

Giuseppe Saragat ( 19 September 1898 – 11 June 1988) was an Italian politician who was the fifth President of the Italian Republic from 1964 to 1971.

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Giovanni Leone (3 November 1908 – 9 November 2001) was an Italian politician. He was the 38th Prime Minister of Italy from 21 June 1963 to 4 December 1963 and again from 24 June 1968 to 12 December 1968. He also served as thesixth President of the Republic from 1971 to 1978.

Leone was born in Naples.

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Alessandro (Sandro) Pertini ( 25 September 1896 – 24 February 1990) was an Italian socialist, who was the seventh President of the Italian Republic from 1978 to 1985. Born in Stella (Province of Savona) as the son of a well to do landowner, Alberto, he studied at a Salesian college in Varazze, and completed his schooling at the "Chiabrera" lyceum (high school) in Savona.

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Francesco Cossiga (26 July 1928 – 17 August 2010) was an Italian politician, the 43rd Prime Minister and the eighth President of the Italian Republic. He was also a professor of constitutional law at the University of Sassari.

Cossiga was born in Sassari in the north of Sardinia. He started his political career during World War II. His name is now usually pronounced Italian pronunciation: [kosˈsiːɡa], but it was originally pronounced Italian pronunciation: [ˈkɔssiɡa], with the stress on the first syllable, meaning "Corsica". He was the cousin of Enrico Berlinguer.

Oscar Luigi Scalfaro ( 9 September 1918 – 29 January 2012) was an Italian politician and magistrate, the ninth President of the Italian Republic from 1992 to 1999, and subsequently a senator for life. Formerly a member of Christian Democracy, he belonged to the centre-left Democratic party. Scalfaro was born in Novara, Province of Novara.

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Linggo, Pebrero 19, 2012

Elective Math- Trigonometry
Venus Abigail D. Gutierrez

The number e is an important mathematical constant, approximately equal to 2.71828, that is the base of the natural logarithms. It is the limit of (1 + 1/n)n as n becomes large, an expression that arises in the study of compound interest, and can also be calculated as the sum of the series e = 2 + 1/2 + 1/(2 × 3) + 1/(2 × 3 × 4) + 1/(2 × 3 × 4 × 5) + …

The constant can be defined in many ways; for example, e is the unique real number such that the value of the derivative (slope of the tangent line) of the function f(x) = ex at the pointx = 0 is equal to 1. The function ex so defined is called the exponential function, and itsinverse is the natural logarithm, or logarithm to base e. The natural logarithm of a positive number k can also be defined directly as the area under the curve y = 1/x between x = 1and x = k, in which case, e is the number whose natural logarithm is 1. There are also morealternative characterizations.

Sometimes called Euler's number after the Swiss mathematician Leonhard Euler, e is not to be confused with γ—the Euler–Mascheroni constant, sometimes called simply Euler's constant. It is also known as Napier's constant, but Euler's choice of the symbol e is said to have been retained in his honor. The number e is of eminent importance in mathematics, alongside 0, 1, π and i. All five of these numbers play important and recurring roles across mathematics, and are the five constants appearing in one formulation of Euler's identity. Like the constant π, e is irrational: it is not a ratio of integers; and it istranscendental: it is not a root of any non-zero polynomial with rational coefficients. The numerical value of e truncated to 50 decimal places is 2.71828182845904523536028747135266249775724709369995... (sequence A001113 in OEIS). The first references to the constant were published in 1618 in the table of an appendix of a work on logarithms by John Napier. However, this did not contain the constant itself, but simply a list of logarithms calculated from the constant. It is assumed that the table was written by William Oughtred. The discovery of the constant itself is credited to Jacob Bernoulli, who attempted to find the value of the following expression (which is in fact e):

The first known use of the constant, represented by the letter b, was in correspondence from Gottfried Leibniz to Christiaan Huygens in 1690 and 1691. Leonhard Euler introduced the letter e as the base for natural logarithms, writing in a letter to Christian Goldbach of 25 November 1731. Euler started to use the letter e for the constant in 1727 or 1728, in an unpublished paper on explosive forces in cannons, and the first appearance of e in a publication was Euler's Mechanica (1736). While in the subsequent years some researchers used the letter c, ewas more common and eventually became the standard.

"e"

(mathematical constant)

Michelle Yvonna Bagui Dinglasan

The number e is an important mathematical constant, approximately equal to 2.71828, that is the base of the natural logarithms. It is the limit of (1 + 1/n)n as n becomes large, an expression that arises in the study of compound interest, and can also be calculated as the sum of the series e = 2 + 1/2 + 1/(2 × 3) + 1/(2 × 3 × 4) + 1/(2 × 3 × 4 × 5) + …

The constant can be defined in many ways; for example, e is the unique real number such that the value of the derivative (slope of the tangent line) of the function f(x) = ex at the point x = 0 is equal to 1. The function ex so defined is called the exponential function, and its inverse is the natural logarithm, or logarithm to base e. The natural logarithm of a positive number k can also be defined directly as the area under the curve y = 1/x betweenx = 1 and x = k, in which case, e is the number whose natural logarithm is 1. There are also more alternative characterizations.

Sometimes called Euler's number after the Swiss mathematician Leonhard Euler, e is not to be confused with γ—the Euler–Mascheroni constant, sometimes called simply Euler's constant. It is also known as Napier's constant, but Euler's choice of the symbol e is said to have been retained in his honor. The number e is of eminent importance in mathematics, alongside 0, 1, π and i. All five of these numbers play important and recurring roles across mathematics, and are the five constants appearing in one formulation of Euler's identity. Like the constant π, e is irrational: it is not a ratio of integers; and it is transcendental: it is not a root of any non-zeropolynomial with rational coefficients. The numerical value of e truncated to 50 decimal places 2.71828182845904523536028747135266249775724709369995... (sequence A001113 in OEIS).

http://en.wikipedia.org/wiki/E_(mathematical_constant)