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Solving an equation symbolically means that expressions can be used for representing the solutions. For example, the equation x + y = 2x – 1 is solved for the unknown x by the expression x = y + 1, because substituting y + 1 for x in the equation results in (y + 1) + y = 2 (y + 1) – 1, a true statement. It is also possible to take the ...
Robertson screw. A Robertson screw, also known as a square screw[1] or Scrulox, [2] is a type of screw with a square -shaped socket in the screw head and a corresponding square protrusion on the tool. Both the tool and socket have a slight taper. The contemporary square drive screw has all but replaced the Robertson screw proper and is commonly ...
List of mathematical series. This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. is a Bernoulli polynomial. is an Euler number. is the Riemann zeta function. is the gamma function. is a polygamma function. is a polylogarithm.
Helix angle. In mechanical engineering, a helix angle is the angle between any helix and an axial line on its right, circular cylinder or cone. [1] Common applications are screws, helical gears, and worm gears. The helix angle references the axis of the cylinder, distinguishing it from the lead angle, which references a line perpendicular to ...
Since (y 2, z, x 2) form a primitive Pythagorean triple, they can be written z = 2de y 2 = d 2 − e 2 x 2 = d 2 + e 2. where d and e are coprime and d > e > 0. Thus, x 2 y 2 = d 4 − e 4. which produces another solution (d, e, xy) that is smaller (0 < d < x). As before, there must be a lower bound on the size of solutions, while this argument ...
A typical lag screw can range in diameter from 4 to 20 mm or #10 to 1.25 in (4.83 to 31.75 mm), and lengths from 16 to 200 mm or 1 ⁄ 4 to 6 in (6.35 to 152.40 mm) or longer, with the coarse threads of a wood-screw or sheet-metal-screw threadform (but larger).
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