The number e, also known as Euler's number, is a mathematical constant approximately equal to 2.71828 that can be characterized in many ways. It is the base of natural logarithms. It is the limit of (1 + 1/n)n as n approaches infinity, an expression that arises in the study of compound interest. It can also be calculated as the sum of the infinite series
The exponential function is a mathematical function denoted by or . Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras. The exponential function originated from the notion of exponentiation, but modern definitions allow it to be rigorously extended to all real arguments, including irrational numbers. Its ubiquitous occurrence in pure and applied mathematics led mathematician Walter Rudin to opine that the exponential function is "the most important function in mathematics".
The number π is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. The number π appears in many formulae across mathematics and physics. It is an irrational number, meaning that it cannot be expressed exactly as a ratio of two integers, although fractions such as are commonly used to approximate it. Consequently, its decimal representation never ends, nor enters a permanently repeating pattern. It is a transcendental number, meaning that it cannot be a solution of an equation involving only sums, products, powers, and integers. The transcendence of π implies that it is impossible to solve the ancient challenge of squaring the circle with a compass and straightedge. The decimal digits of π appear to be randomly distributed, but no proof of this conjecture has been found.
In electrical engineering, impedance is the opposition to alternating current presented by the combined effect of resistance and reactance in a circuit.
Batman: The Animated Series is an American superhero animated television series based on the DC Comics superhero Batman. Developed by Bruce Timm and Eric Radomski, and produced by Warner Bros. Animation, it originally aired on Fox Kids from September 5, 1992 to September 15, 1995 with a total of 85 episodes. After the series ended its original run, a follow-up titled The New Batman Adventures began airing on Kids' WB in 1997 as a continuation of the series, featuring a revamped animation style. Lasting 24 episodes, it has often been included in the same syndicated re-run packages and home media releases as the final season.
Codename: Kids Next Door is an American animated television series created by Mr. Warburton for Cartoon Network and distributed by Warner Bros. Domestic Television. The series follows the adventures of a diverse group of five 10-year-old children who operate from a high-tech treehouse, fighting against adult and teen villains with advanced 2×4 technology. Using their code names, they are Sector V, part of a global organization called the Kids Next Door.
The Bangladesh men's national cricket team, popularly known as The Tigers, is administered by the Bangladesh Cricket Board (BCB). It is a Full Member of the International Cricket Council (ICC) with Test, One-Day International (ODI) and T20 International (T20I) status. It played its first Test match in November 2000 against India with a 9 wicket loss in Dhaka, becoming the tenth Test-playing nation. Bangladesh became an associate member of the ICC in 1977, and competed in six ICC Trophies, the leading ODI competition for non-Test playing nations.
In the statistical analysis of time series, autoregressive–moving-average (ARMA) models provide a parsimonious description of a (weakly) stationary stochastic process in terms of two polynomials, one for the autoregression (AR) and the second for the moving average (MA). The general ARMA model was described in the 1951 thesis of Peter Whittle, Hypothesis testing in time series analysis, and it was popularized in the 1970 book by George E. P. Box and Gwilym Jenkins.
All motorised road vehicles in India are tagged with a registration or licence number. The Vehicle registration plate number is issued by the district-level Regional Transport Office (RTO) of respective states — the main authority on road matters. The number plates are placed in the front and back of the vehicle. By law, all plates are required to be in modern Hindu-Arabic numerals with Latin letters. The international vehicle registration code for India is IND.
In statistics and econometrics, and in particular in time series analysis, an autoregressive integrated moving average (ARIMA) model is a generalization of an autoregressive moving average (ARMA) model. To better comprehend the data or to forecast upcoming series points, both of these models are fitted to time series data. ARIMA models are applied in some cases where data show evidence of non-stationarity in the sense of mean, where an initial differencing step can be applied one or more times to eliminate the non-stationarity of the mean function. When the seasonality shows in a time series, the seasonal-differencing could be applied to eliminate the seasonal component. Since the ARMA model, according to the Wold's decomposition theorem, is theoretically sufficient to describe a regular wide-sense stationary time series, we are motivated to make stationary a non-stationary time series, e.g., by using differencing, before we can use the ARMA model. Note that if the time series contains a predictable sub-process, the predictable component is treated as a non-zero-mean but periodic component in the ARIMA framework so that it is eliminated by the seasonal differencing.
The Flora of North America North of Mexico is a multivolume work describing the native plants and naturalized plants of North America, including the United States, Canada, St. Pierre and Miquelon, and Greenland. It includes bryophytes and vascular plants. All taxa are described and included in dichotomous keys, distributions of all species and infraspecific taxa are mapped, and about 20% of species are illustrated with line drawings prepared specifically for FNA. It is expected to fill 30 volumes when completed and will be the first work to treat all of the known flora north of Mexico; in 2015 it was expected that the series would conclude in 2017. Twenty-nine of the volumes have been published as of 2022.
A capacitor is a device that stores electrical energy in an electric field by virtue of accumulating electric charges on two close surfaces insulated from each other. It is a passive electronic component with two terminals.
Ramapuram is a neighbourhood in the western part of Chennai, India. It is situated on the Mount-Poonamallee Road at a distance of 3 kilometres from Guindy. Ramapuram forms a part of Maduravoyal taluk, Chennai district. Ramapuram is located at an altitude of 42 m above the mean sea level with the geographical coordinates of 13.010600°N 80.193180°E.
Harry Potter is a film series based on the eponymous novels by J. K. Rowling. The series is produced and distributed by Warner Bros. Pictures and consists of eight fantasy films, beginning with Harry Potter and the Philosopher's Stone (2001) and culminating with Harry Potter and the Deathly Hallows – Part 2 (2011). A spin-off prequel series, planned to consist of five films, started with Fantastic Beasts and Where to Find Them (2016), marking the beginning of the Wizarding World shared media franchise.
Moronene is an Austronesian language spoken in Bombana Regency, Southeast Sulawesi, Indonesia. It belongs to the Bungku–Tolaki branch of the Celebic subgroup.
Virat Kohli is an Indian international cricketer and the former captain of the Indian national cricket team who plays as a right-handed batsman for Royal Challengers Bangalore in the IPL and for the Delhi in Indian domestic cricket. Widely regarded as one of the greatest batsmen of all time, Kohli holds the records for scoring most runs in T20 internationals and in the IPL. In 2020, the International Cricket Council named him the male cricketer of the decade. Kohli has also contributed to a number of India's successes, including winning the 2011 World Cup and the 2013 Champions trophy.
Paul Rose is a British television presenter who mainly works for the BBC. He is an accomplished diver, mountaineer and explorer whose skills and interests led to his role as a documentary presenter. Rose made frequent expeditions to Antarctica, supporting scientists engaged in research, and for eight 6-month seasons was base commander of Rothera Research Station.
A hybrid solar eclipse will occur on Thursday, April 20, 2023. A solar eclipse occurs when the Moon passes between Earth and the Sun thereby totally or partly obscuring the image of the Sun for a viewer on Earth. A total solar eclipse occurs when the Moon's apparent diameter is larger than the Sun's, blocking all direct sunlight, turning day into darkness. A hybrid solar eclipse is a rare type of solar eclipse that changes its appearance as the Moon's shadow moves across the earth's surface. Totality occurs in a narrow path across the surface of the Earth, with the partial solar eclipse visible over a surrounding region thousands of kilometres wide. Hybrid solar eclipses are extremely rare with only 3.1% of solar eclipses in the 21st century, hybrid eclipses.
A total solar eclipse occurred on November 1, 1948. A solar eclipse occurs when the Moon passes between Earth and the Sun, thereby totally or partly obscuring the image of the Sun for a viewer on Earth. A total solar eclipse occurs when the Moon's apparent diameter is larger than the Sun's, blocking all direct sunlight, turning day into darkness. Totality occurs in a narrow path across Earth's surface, with the partial solar eclipse visible over a surrounding region thousands of kilometres wide. Totality was visible from Belgian Congo, Uganda Protectorate including the capital city Kampala, British Kenya including the capital city Nairobi, British Seychelles, and British Mauritius . During this eclipse, comet C/1948 V1, also known as the Eclipse Comet of 1948, was discovered shining near the sun.
