descending order

A sequence or arbitrary ordered set or one-dimensional array of numbers, $a$ , is said to be in descending order if each $a_{i}\\geq a_{i+1}$ . For example, the aliquot sequence of 259 is in descending order: 45, 33, 15, 9, 4, 3, 1, 0, 0, 0 … The aliquot sequence starting at 60, however, is not in descending order: 108, 172, 136, 134, 70, 74, 40, 50, 43, 1, 0, 0, 0 …

In a trivial sense, the sequence of values of the sign function multiplied by -1 is in descending order: … 1, 1, 1, 0, –1, –1, –1… When each $a_{i}>a_{i+1}$ in the sequence, set or array, then it can be said to be in strictly descending order.

单词	DescendingOrder
释义	descending order A sequence or arbitrary ordered set or one-dimensional array of numbers, $a$ , is said to be in descending order if each $a_{i}\\geq a_{i+1}$ . For example, the aliquot sequence of 259 is in descending order: 45, 33, 15, 9, 4, 3, 1, 0, 0, 0 … The aliquot sequence starting at 60, however, is not in descending order: 108, 172, 136, 134, 70, 74, 40, 50, 43, 1, 0, 0, 0 … In a trivial sense, the sequence of values of the sign function multiplied by -1 is in descending order: … 1, 1, 1, 0, –1, –1, –1… When each $a_{i}>a_{i+1}$ in the sequence, set or array, then it can be said to be in strictly descending order.
随便看	ProofOfMartingaleCriterion proof of Martingale criterion ProofOfMartingaleCriterioncontinuousTime proof of Martingale criterion (continuous time) ProofOfMartysTheorem proof of Marty’s theorem ProofOfMatrixInverseCalculationByGaussianElimination proof of matrix inverse calculation by Gaussian elimination ProofOfMaximalModulusPrinciple proof of maximal modulus principle ProofOfMeanSquareConvergenceOfTheSampleMeanOfAStationaryProcess proof of mean square convergence of the sample mean of a stationary process ProofOfMeanValueTheorem proof of mean value theorem ProofOfMeasurabilityOfStoppedProcesses proof of measurability of stopped processes ProofOfMenelausTheorem proof of Menelaus’ theorem ProofOfMinkowskiInequality proof of Minkowski inequality ProofOfMinkowskisBound ProofOfMinkowskisTheorem proof of Minkowski’s bound proof of Minkowski’s theorem ProofOfMobiusCircleTransformationTheorem