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Eigenvalues and eigenvectors. In linear algebra, an eigenvector (/ ˈaɪɡən -/ EYE-gən-) or characteristic vector is a vector that has its direction unchanged by a given linear transformation. More precisely, an eigenvector, , of a linear transformation, , is scaled by a constant factor, , when the linear transformation is applied to it: .
Since the office was established in 1789, 45 men have served in 46 presidencies. The first president, George Washington, won a unanimous vote of the Electoral College. [4] Grover Cleveland served two non-consecutive terms and is therefore counted as the 22nd and 24th president of the United States, giving rise to the discrepancy between the ...
Logic. Logic studies valid forms of inference like modus ponens. Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure of arguments alone, independent of their topic ...
On Japanese maps, a swastika (left-facing and horizontal) is used to mark the location of a Buddhist temple. The right-facing swastika is often referred to as the gyaku manji (逆卍, lit. "reverse swastika") or migi manji (右卍, lit. "right swastika"), and can also be called kagi jūji (鉤十字, literally "hook cross").
Archimedes was born c. 287 BC in the seaport city of Syracuse, Sicily, at that time a self-governing colony in Magna Graecia. The date of birth is based on a statement by the Byzantine Greek scholar John Tzetzes that Archimedes lived for 75 years before his death in 212 BC. [8] In the Sand-Reckoner, Archimedes gives his father's name as Phidias ...
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. However, 4 is composite because it is a ...
A significant 2015 study by the National Center for Transgender Equality surveyed nearly 28,000 transgender people in the United States, finding that 35% identified as non-binary or genderqueer. Among them, 84% used pronouns different from those associated with the gender on their birth certificates. The breakdown of preferred pronouns was 37% ...
Fentanyl is a highly potent synthetic piperidine opioid primarily used as an analgesic. It is 20 to 40 times more potent than heroin and 100 times more potent than morphine; [ 9 ] its primary clinical utility is in pain management for cancer patients and those recovering from painful surgeries. [ 10 ][ 11 ] Fentanyl is also used as a sedative ...