The imaginary numbers are numbers that result in negative numbers when raised to even powers. An imaginary number is the product of a non-zero real number and iota i where i is square root of -1.
A number of the form {eq}a+ib {/eq} is known as a complex number, where {eq}i {/eq} is known as iota, which has the value {eq}\sqrt{-1} {/eq}. Iota has some properties such as the square of iota is equal to {eq}-1 {/eq} and the fourth power of iota is 1. Comple...
For every i=1,\ldots ,n+m, the parallel unit vector field \partial x_i decomposes into \partial x_i=(\partial x_i)^T+(\partial x_i)^\perp with (\partial x_i)^T=d(x_i\circ \iota ) where \iota is the isometric immersion. Now, take any p-eigenform \omega of \Delta _f...
Throughout this work, we use (M, g) to denote a compact connected orientable Riemannian manifold of dimension three with a non-empty smooth boundary. The corresponding volume form and geodesic distance are denoted by d\mu _g(\cdot ) and d_g(\cdot ,\cdot ), respectively. Let \iota _...
"I have lived here for 10 years. Love the Mountain View and the residential areas. I also like that the new iota ride their horses in the afternoon. Relaxing environment. " 9 Flag Abraham C. J. Resident 5y ago "They let there dogs walk without a leash and I constantly having to rest...
This research investigates the existence and uniqueness of the square-meanμ-pseudo almost automorphic solution for the given stochastic functional differential equations, drawing upon previous studies as a foundation. (1) In the given context,denotes the infinitesimal generator of a-semigroupoperating on...
\bigwedge _{\iota =1}^{\mathrm{m}} \xi _{\iota}. \end{aligned}$$ (5.1) consider the generalized aggregate function for the values of $$\begin{aligned} &\mathcal{r}= \bigg(\mathbb{w}_{e_{\lambda ,\mu}}, \mathbb{w}_{w_{ \lambda , \mu}}, \mathbb{w}_{{_{2} f_{...
Let \iota >0 be arbitrarily small, and fix a compact interval J=[\tau _0,{{\mathcal {T}}}]\subset (s,\infty ). One can take finitely many points \{t_j\}_{j=1}^N\subset J as well as \delta >0 such that \begin{aligned} \sup _{t\in J}\Vert g(t-\varepsilon )-g(...
Data were filtered out when the retrieval did not converge, when the root mean square error between the observed and computed radiances or brightness temperature are larger than 10, or when the AERI hatch was not open for the entire observing period. The profiles of air temperature and ...
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