In mathematics, unimodality means possessing a unique mode. More generally, unimodality means there is only a single highest value, somehow defined, of...

(perfect unimodality). It is defined as A = U ( 1 − S − 1 K − 1 ) {\displaystyle A=U\left(1-{\frac {S-1}{K-1}}\right)} where U is the unimodality of the...

Unimodal thresholding is an algorithm for automatic image threshold selection in image processing. Most threshold selection algorithms assume that the...

continuous distribution is called multimodal (as opposed to unimodal). In symmetric unimodal distributions, such as the normal distribution, the mean (if...

{\displaystyle n} , { n k } {\displaystyle \left\{{n \atop k}\right\}} is unimodal, that is, the sequence increases and then decreases. The maximum is attained...

quasi-concavity, if S ⊂ R {\displaystyle S\subset \mathbb {R} } , is unimodality, in which there is a locally maximal value. Quasiconvex functions have...

well-defined mean, such as the Cauchy distribution: The median of a symmetric unimodal distribution coincides with the mode. The median of a symmetric distribution...

Read's conjecture is a conjecture, first made by Ronald Read, about the unimodality of the coefficients of chromatic polynomials in the context of graph...

Hussain, Amir (September 2017). "A review of affective computing: From unimodal analysis to multimodal fusion". Information Fusion. 37: 98–125. doi:10...

bound nearly all (i.e. 95%) of the values of a process output. Without unimodality Chebyshev's inequality would give a looser bound of 1/9 = 0.11111......

Bibcode:1989NYASA.576..500S. doi:10.1111/j.1749-6632.1989.tb16434.x. Unimodality Logarithmically concave function Logarithmically concave measure v t...

Gastwirth estimated the asymptotic variance of n−1/2D. If the distribution is unimodal and symmetric about 0, the asymptotic variance lies between 1/4 and 1....

technique in computer science for finding the minimum or maximum of a unimodal function. Assume we are looking for a maximum of f ( x ) {\displaystyle...

of these. For private transport by car, the parking lot functions as an unimodal hub. Historically, an interchange service in the scheduled passenger air...

during his PhD studies, Huh proved the Read–Hoggar conjecture, about the unimodality of coefficients of chromatic polynomials in graph theory, which had been...

degrees" – by Gilles Schaeffer. "Kathy O'Hara's Constructive Proof of the Unimodality of the Gaussian Polynomials" – by Doron Zeilberger. "Partition Bijections...

desired[citation needed]. Chebyshev's inequality removes the assumption of unimodality at the price of a higher multiplier (about 4.5 for 95% confidence)[citation...

hallucinations are the perception of erogenous or orgasmic stimuli. They may be unimodal or multimodal in nature and frequently involve sensation in the genital...

samples points randomly, using a uniform distribution on the box. For a unimodal function, the probability of reducing the objective function decreases...

by the inventor Douglas Malewicki in 1990 and was under development by Unimodal Inc. A prototype of the skyTran vehicle and a section of track have been...

are: "symmetric", "skewed left" or "right", "unimodal", "bimodal" or "multimodal". Symmetric, unimodal Skewed right Skewed left Bimodal Multimodal Symmetric...

The skewness value can be positive, zero, negative, or undefined. For a unimodal distribution (a distribution with a single peak), negative skew commonly...

fingerprints. While unimodal biometric systems are limited by the integrity of their identifier, it is unlikely that several unimodal systems will suffer...

and geometry which says that the integral of an integrable, symmetric, unimodal, non-negative function f over an n-dimensional convex body K does not decrease...

(modality) of the data set used. Generative AI can be either unimodal or multimodal; unimodal systems take only one type of input, whereas multimodal systems...

Chebyshev's inequality, concerns distance from the mean without requiring unimodality Concentration inequality – a summary of tail-bounds on random variables...

psychedelic drugs LSD and psilocybin reduce the hierarchical differentiation of unimodal and transmodal cortex". bioRxiv. doi:10.1101/2020.05.01.072314. S2CID 233346402...

measures in addition to the measure being isotropic. A unimodal measure (or isotropic unimodal measure) is any isotropic measure μ ( d z ) = μ 0 ( | z...

x_{0}} about which the symmetry occurs. If a symmetric distribution is unimodal, the mode coincides with the median and mean. All odd central moments of...

cases should fall within properly calculated three-sigma intervals. For unimodal distributions, the probability of being within the interval is at least...