Sentence examples for exponential i from inspiring English sources
We show that the sticky MCMC schemes can be applied in this scenario, even by using a proposal pdf with exponential (i.e., "light") tails.
This is equivalent to say that the individual instantaneous SNR values (observed from each of the array elements in the second hop) are considered to be exponential i.i.d.i.d
Since a group with (m) generators can be presented as a quotient group of a free group of rank (m,) the growth of a finitely generated group cannot be faster than exponential (i.e., it can not be superexponential).
By applying the Parseval identity and definition of Hadamard product with together relation (3), we find that each scalar-valued function f k is approximately exponential, i.e., | f k ( x. y ) - f k ( x ) f k ( y ) | < α (5).
where (x)∘2 denotes the Hadamard exponential, i.e., the element-wise exponential of the vector x; (boldsymbol {w} = left (mathcal {W}_{A}left (e_{ij}^{1}right), ldots, mathcal {W}_{A}left (e_{ij}^{K}right) right)); and ε denotes the error due to measurement noise.
When a tachyon comes along, this clock, goes from spinning around to being a growing exponential: i.e. it explodes!
The detailed formula is given as follows: 4) Normexp: this method applies a normal-exponential (i.e., normexp) convolution model to the local background and the true signal at the red and green channels separately [ 18, 22].
All the decay curves could be well fitted by a single exponential function I (t) = I 0 exp.(−t/τ), where I 0 is the initial emission intensity at t = 0 and τ is the lifetime of the monitored level.
The PL decay curves are fitted to the exponential function I t = ∑ i = 1 n A i exp − t − t 0 / τ i (1).
The spatial correlation is modelled as an exponential decay, i.e. E p ( x i ) p ( x j ) = σ 2 δ exp − ∥ x i − x j ∥ δ (19).
The recovery half-time was extracted from fitting the intensity ratio changes over time to an exponential equation I (t ) = A (1 − e − τt ), where I is intensity, t is time, τ is recovery half-time.
