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Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin( α + β ) = sin α cos β + cos α sin ...
The equals sign (British English) or equal sign (American English), also known as the equality sign, is the mathematical symbol =, which is used to indicate equality in some well-defined sense. [1] In an equation , it is placed between two expressions that have the same value, or for which one studies the conditions under which they have the ...
A diagonal matrix with equal diagonal entries is a scalar matrix; that is, a scalar multiple λ of the identity matrix I. Its effect on a vector is scalar multiplication by λ . For example, a 3×3 scalar matrix has the form: [ λ 0 0 0 λ 0 0 0 λ ] ≡ λ I 3 {\displaystyle {\begin{bmatrix}\lambda &0&0\\0&\lambda &0\\0&0&\lambda \end{bmatrix ...
2 4, a time signature in music; 2×4 (Guadalcanal Diary album), 1987; 2×4 (Einstürzende Neubauten album), 1984; 2×4 (Malachi Favors and Tatsu Aoki album), 1999; Two by Four, 1989 album by Marc Johnson "2×4", a 1996 song by Metallica from their album Load "2×4", a 1995 song by Blind Melon from their album Soup
The names for the degrees may be applied to the polynomial or to its terms. For example, the term 2x in x 2 + 2x + 1 is a linear term in a quadratic polynomial. The polynomial 0, which may be considered to have no terms at all, is called the zero polynomial. Unlike other constant polynomials, its degree is not zero.
Today's Wordle Answer for #1262 on Monday, December 2, 2024. Today's Wordle answer on Monday, December 2, 2024, is GUILE. How'd you do? Next: Catch up on other Wordle answers from this week.
Nowadays, most newspapers and magazines have converted to a "modular" system that simplifies ad size and eliminates the need to figure out column inches. In a modular system ad sizes are represented by the amount of the total page the ad takes up. For example, 1/2 page, 1/4 page, 1/8 page, etc.
The unemployment rate edged up moderately to 4.2% from October's 4.1%. This fresh employment data is good news for the economy ahead of this week's fresh inflation readings, starting with the ...