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The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]
Representation of orbitals (the dot represents the nucleus of the atom) showing spherical s orbitals (a), p orbitals containing ‘lobes’ along the x, y and z axis. Note that the shape of the d orbitals is not required. An overview of the shells, subshells and orbitals in an atom.
Oct 7, 2011 · LATER MODEL K & E 4160 SLIDE RULE, showing the “given and sought” gauge marks for acids, bases, and salts. slide rule for chemical calculations is based on the fact that chemicals react with each other in specific whole number ratios, defined by the coeficients of the balanced equations.
Jan 23, 2023 · In 1931, German chemist and physicist Erich Hückel proposed a rule to determine if a planar ring molecule would have aromatic properties. This rule states that if a cyclic, planar molecule has 4n + 2 π 4 n + 2 π electrons, it is aromatic. This rule would come to be known as Hückel's Rule.
in which [A] and [B] represent the molar concentrations of reactants, and k is the rate constant, which is specific for a particular reaction at a particular temperature.. The exponents m and n are the reaction orders and are typically positive integers, though they can be fractions, negative, or ze
The Shoelace Formula Suppose the n vertices of a simple polygon in the Euclidean plane are listed in counterclockwise order as (x0, y0), . . . , (xn−1, yn−1). Then the area A of the polygon may be calculated as: . = (x0y1 −. 2. x1y0 + . . . + xn−2yn−1 − xn−1yn−2 + xn−1y0 − x0yn−1) . Using the exterior algebra.
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The Shoelace Theorem is a nifty formula for finding the area of a simple polygon given the coordinates of its vertices.
