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Grandi's series. In mathematics, the infinite series 1 − 1 + 1 − 1 + ⋯, also written. is sometimes called Grandi's series, after Italian mathematician, philosopher, and priest Guido Grandi, who gave a memorable treatment of the series in 1703. It is a divergent series, meaning that the sequence of partial sums of the series does not converge.
Bathroom cabinet. A bathroom cabinet is a cabinet in a bathroom, most often used to store hygiene products, toiletries, and sometimes also medications such that it works as an improvised medicine cabinet. There are two main types of bathroom cabinets: vanity cabinets which are usually placed under sinks and mirror cabinets which are usually ...
This face frame is usually 1 + 1 ⁄ 2 inches (4 cm) in width. Mounted on the cabinet frame is the cabinet door. In contrast, frameless cabinet have no such supporting front face frame, the cabinet doors attach directly to the sides of the cabinet box. The box's side, bottom and top panels are usually 5 ⁄ 8 to 3 ⁄ 4 inch (15 to 20 mm) thick ...
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The kick space is intended to prevent potential toe injuries and allow for closer proximity to a countertop (the toes being the furthest-extending ground-level human body parts). [ 2] Typical dimensions are roughly 4 inches (10 cm) high by 3 inches (7.6 cm) deep. A fully enclosed cabinet base with a kick space.
Salem–Spencer set. In mathematics, and in particular in arithmetic combinatorics, a Salem-Spencer set is a set of numbers no three of which form an arithmetic progression. Salem–Spencer sets are also called 3-AP-free sequences or progression-free sets. They have also been called non-averaging sets, [1][2] but this term has also been used to ...
The first Lowe's store, Mr. L.S. Lowe's North Wilkesboro Hardware, opened in North Wilkesboro, North Carolina, in 1921 by Lucius Smith Lowe. [8] After Lowe died in 1940, the business was inherited by his daughter, Ruth Buchan, who sold the company to her brother, James Lowe for $4,200, [ 9 ] that same year.
A bijection with the sums to n is to replace 1 with 0 and 2 with 11. The number of binary strings of length n without an even number of consecutive 0 s or 1 s is 2F n. For example, out of the 16 binary strings of length 4, there are 2F 4 = 6 without an even number of consecutive 0 s or 1 s—they are 0001, 0111, 0101, 1000, 1010, 1110. There is ...