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  2. De Bruijn's theorem - Wikipedia

    en.wikipedia.org/wiki/De_Bruijn's_theorem

    For instance, the most frequently used bricks in the USA have dimensions (in inches), which is not harmonic, but a type of brick sold as "Roman brick" has the harmonic dimensions . [ 5 ] De Bruijn's theorem states that, if a harmonic brick is packed into a box, then the box must be a multiple of the brick.

  3. Packing problems - Wikipedia

    en.wikipedia.org/wiki/Packing_problems

    An a × b rectangle can be packed with 1 × n strips if and only if n divides a or n divides b. [15] [16] de Bruijn's theorem: A box can be packed with a harmonic brick a × a b × a b c if the box has dimensions a p × a b q × a b c r for some natural numbers p, q, r (i.e., the box is a multiple of the brick.) [15]

  4. Brick - Wikipedia

    en.wikipedia.org/wiki/Brick

    In the United States, modern standard bricks are specified for various uses; [47] The most commonly used is the modular brick has the actual dimensions of 7 + 5 ⁄ 8 × 3 + 5 ⁄ 8 × 2 + 1 ⁄ 4 inches (194 × 92 × 57 mm).

  5. Brickwork - Wikipedia

    en.wikipedia.org/wiki/Brickwork

    Working dimensions is the size of a manufactured brick. It is also called the nominal size of a brick. Brick size may be slightly different due to shrinkage or distortion due to firing, etc. An example of a co-ordinating metric commonly used for bricks in the UK is as follows: [4] [5] [6] Bricks of dimensions 215 mm × 102.5 mm × 65 mm; Mortar ...

  6. Section modulus - Wikipedia

    en.wikipedia.org/wiki/Section_modulus

    A C is the area in compression A T is the area in tension y C, y T are the distances from the PNA to their centroids. Plastic section modulus and elastic section modulus can be related by a shape factor k: = = This is an indication of a section's capacity beyond the yield strength of material.

  7. Euler brick - Wikipedia

    en.wikipedia.org/wiki/Euler_brick

    Given an Euler brick with edge-lengths (a, b, c), the triple (bc, ac, ab) constitutes an Euler brick as well. [1]: p. 106 Exactly one edge and two face diagonals of a primitive Euler brick are odd. At least two edges of an Euler brick are divisible by 3. [1]: p. 106 At least two edges of an Euler brick are divisible by 4. [1]: p. 106

  8. US weekly jobless claims fall; third-quarter GDP growth ...

    www.aol.com/news/us-weekly-jobless-claims-fall...

    WASHINGTON (Reuters) -The number of Americans filing new applications for jobless benefits fell more than expected last week, reversing the prior week's jump and suggesting that a gradual labor ...

  9. Block-stacking problem - Wikipedia

    en.wikipedia.org/wiki/Block-stacking_problem

    The first nine blocks in the solution to the single-wide block-stacking problem with the overhangs indicated. In statics, the block-stacking problem (sometimes known as The Leaning Tower of Lire (Johnson 1955), also the book-stacking problem, or a number of other similar terms) is a puzzle concerning the stacking of blocks at the edge of a table.