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In mathematical optimization, the method of Lagrange multipliers (named after Joseph Louis Lagrange) is a strategy for finding the local maxima and minima of a function subject to equality constraints.or this to be a probability distribution the sum of the probabilities at each point must equal 1, so our constraint is: We use Lagrange multipliers to find the point of maximum entropy, , across all discrete probability distributions on.
Denier Measurement. The denier is obtained by weighing 9,000 meters of yarn or thread, expressing the result in grams. Thus the denier is a measure of linear density expressed in terms of grams per 9000 meters.Since a yarn with a higher denier has more mass per unit length than a yarn with a lower denier, it is thicker and tougher, provided that both yarns are made of the same kind of material.he fiber number multiplied by the number of fibers in a cross-section of the yarn equals the denier value of the yarn. Synthetic materials, such as polyester, may have fibers with fiber numbers less than one. The linear density of such fibers are measured in smaller units called microdeniers.