# unimodal

## Definitions

• WordNet 3.6
• adj unimodal having a single mode
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## Usage

### In news:

D5728-12: Standard Practices for Securement of Cargo in Intermodal and Unimodal Surface Transport.
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### In science:

The distribution is unimodal and it’s support extends to inﬁnity.
Free Random Levy Variables and Financial Probabilities
Some unimodal PDFs satisfy this criterion for large Np while many do not.
Searches for Giant Pulses from Extragalactic Pulsars
Suppose that the symmetric distribution γH is unimodal.
Spectral measure of large random Hankel, Markov and Toeplitz matrices
They concluded that both results were formally consistent with derivation from a uniform color distribution, i.e. unimodality.
Reopening the TNOs Color Controversy: Centaurs Bimodality and TNOs Unimodality
TNO color distribution is de ﬁnitively unimodal.
Reopening the TNOs Color Controversy: Centaurs Bimodality and TNOs Unimodality
This implies that ln g is also unimodal on Iǫ and, for n ≥ 1, that gn is unimodal also.
Random k-SAT: Two Moments Suffice to Cross a Sharp Threshold
Let h(x) be unimodal on [a, b] where c is the unique zero of h′ in [a, b].
Random k-SAT: Two Moments Suffice to Cross a Sharp Threshold
Now, we wish to show that the sequence {T j (w , t)}t≥1 is unimodal.
Simulating a Random Walk with Constant Error
For very simple ξ , such as one whose support consists of a single vertex, we actually expect unimodality.
Simulating a Random Walk with Constant Error
Since 0 ≤ x + y , at most one root of g occurs at in [x + y , +∞), so we may conclude that p(n, (x, y )) is unimodal in n.
Simulating a Random Walk with Constant Error
Being unimodal (see Remark 4.2) the sequence (Bn k ), for ﬁxed n, is at ﬁrst increasing and evental ly decreasing.
Measure convolution semigroups and non-infinitely divisible probability distributions
For the estimates in the main body of the proof it is useful to have symmetric unimodal distributions (since the notion of unimodality is used in the literature not completely consistently, see the Appendix for a deﬁnition).
Level Crossing Probabilities II: Polygonal Recurrence of Multidimensional Random Walks
The convolution of τ with its reﬂected image on −N is symmetric and easily seen to be unimodal.
Level Crossing Probabilities II: Polygonal Recurrence of Multidimensional Random Walks
Completely unimodal numberings of a simple polytope.
Two New Bounds on the Random-Edge Simplex Algorithm
A has the weak Lefschetz property (A even has the strong Lefschetz property), the Hilbert function of A is unimodal (see e.g. [2, Remark 3.3]).
The strong Lefschetz property and simple extensions
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