Complete homogeneous symmetric polynomialIn mathematics, specifically in algebraic combinatorics and commutative algebra, the complete homogeneous symmetric polynomials are a specific kind of symmetric polynomials. Every symmetric polynomial can be expressed as a polynomial expression in complete homogeneous symmetric polynomials. The complete homogeneous symmetric polynomial of degree k in n variables X1, ..., Xn, written hk for k = 0, 1, 2, ..., is the sum of all monomials of total degree k in the variables.
Health effects of electronic cigarettesThe use of electronic cigarettes (vaping) carries health risks. The risk depends on the fluid and varies according to design and user behavior. In the United Kingdom, vaping is considered by some to be around 95% less harmful than tobacco after a controversial landmark review by Public Health England. E-cigarettes reduce lung function, reduce cardiac muscle function, and increase inflammation. Traditional cigarettes have a higher damage record than vaping.
Newton's identitiesIn mathematics, Newton's identities, also known as the Girard–Newton formulae, give relations between two types of symmetric polynomials, namely between power sums and elementary symmetric polynomials. Evaluated at the roots of a monic polynomial P in one variable, they allow expressing the sums of the k-th powers of all roots of P (counted with their multiplicity) in terms of the coefficients of P, without actually finding those roots. These identities were found by Isaac Newton around 1666, apparently in ignorance of earlier work (1629) by Albert Girard.
KrautrockKrautrock (also called , German for ) is a broad genre of experimental rock that developed in West Germany in the late 1960s and early 1970s. It originated among artists who blended elements of psychedelic rock, avant-garde composition, and electronic music, among other eclectic sources. Common elements included hypnotic rhythms, extended improvisation, musique concrète techniques, and early synthesizers, while the music generally moved away from the rhythm & blues roots and song structure found in traditional Anglo-American rock music.
Electronic cigaretteAn electronic cigarette (commonly and nowadays known as a vape) is a device that simulates tobacco smoking. It consists of an atomizer (often a cotton wick and a heating element coil), a power source such as a battery, and a container such as a cartridge or tank filled with liquid. Instead of smoke, the user inhales "vapor" (though technically primarily an aerosol). As such, using an e-cigarette is often called "vaping". The atomizer is a heating element that vaporizes a liquid solution called e-liquid, which quickly cools into an aerosol of tiny droplets, vapor and air.
