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Figs and fig wasps have had a symbiotic relationship throughout history. [8] The fig wasps need the figs in order to reproduce, while the figs rely on the wasps to aid them in their pollination. [9] In wilder forms of the plant, without pollination the young developing fig will fall off of the tree without ripening.
Ficus carica is a gynodioecious, deciduous tree or large shrub that grows up to 7–10 m (23–33 ft) tall, with smooth white bark. Its fragrant leaves are 12–25 cm ( –10 in) long and 10–18 cm (4–7 in) wide, and are deeply lobed (three or five lobes).
The Mission fig (also known as Black Mission or Franciscana) is a popular variety of the edible fig ( Ficus carica ). It was first introduced to the United States in 1768 when Franciscan missionaries planted it in San Diego. [1] [2] It was also planted in the subsequent missions that the Franciscans established up the California coast.
Here, general means that the coefficients of the equation are viewed and manipulated as indeterminates. The theorem is named after Paolo Ruffini, who made an incomplete proof in 1799 [1] (which was refined and completed in 1813 [2] and accepted by Cauchy) and Niels Henrik Abel, who provided a proof in 1824. [3] [4]
Therefore, let f(x) = g(x) = 2x + 1. Then, f(x)g(x) = 4x 2 + 4x + 1 = 1. Thus deg(f⋅g) = 0 which is not greater than the degrees of f and g (which each had degree 1). Since the norm function is not defined for the zero element of the ring, we consider the degree of the polynomial f(x) = 0 to also be undefined so that it follows the rules of a ...
In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, it is possible to expand the polynomial (x + y) n into a sum involving terms of the form ax b y c, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending ...
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Irreducible polynomial. In mathematics, an irreducible polynomial is, roughly speaking, a polynomial that cannot be factored into the product of two non-constant polynomials. The property of irreducibility depends on the nature of the coefficients that are accepted for the possible factors, that is, the ring to which the coefficients of the ...