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  2. Entrenching tool - Wikipedia

    en.wikipedia.org/wiki/Entrenching_tool

    Entrenching tools designed for the individual infantryman soon appeared with short straight handles, T-handles, D-handles, and other designs. The British entrenching tool of this period was a two part design, with a metal head and a wooden handle, the metal head consisted of an adze or spade blade and a pick axe spike, used alone the head could ...

  3. Taylor series - Wikipedia

    en.wikipedia.org/wiki/Taylor_series

    The function e (−1/x 2) is not analytic at x = 0: the Taylor series is identically 0, although the function is not. If f ( x ) is given by a convergent power series in an open disk centred at b in the complex plane (or an interval in the real line), it is said to be analytic in this region.

  4. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    Trigonometric functions and their reciprocals on the unit circle. All of the right-angled triangles are similar, i.e. the ratios between their corresponding sides are the same. For sin, cos and tan the unit-length radius forms the hypotenuse of the triangle that defines them.

  5. Small-angle approximation - Wikipedia

    en.wikipedia.org/wiki/Small-angle_approximation

    The red section on the right, d, is the difference between the lengths of the hypotenuse, H, and the adjacent side, A.As is shown, H and A are almost the same length, meaning cos θ is close to 1 and ⁠ θ 2 / 2 ⁠ helps trim the red away.

  6. Expansion tank - Wikipedia

    en.wikipedia.org/wiki/Expansion_tank

    An expansion tank or expansion vessel is a small tank used to protect closed water heating systems and domestic hot water systems from excessive pressure. The tank is partially filled with air, whose compressibility cushions shock caused by water hammer [ citation needed ] and absorbs excess water pressure caused by thermal expansion .

  7. Cheater bar - Wikipedia

    en.wikipedia.org/wiki/Cheater_bar

    "Use the approved tool for the job. Makeshift arrangements such as the use of a screwdriver as a chisel, a pair of pliers as a wrench, a wrench as a hammer, or overloading a wrench by using a pipe extension (cheater bar) on the handle are not to be employed." [4]