Early critics of Emily Dickinson’s poetry mistook for simplemindedness the surface of artlessness that in fact she constructed with ...............
The macromolecule RNA is common to all living beings, and DNA, which is found in all organisms except some bacteria, is almost as ...............
Linguistic science confirms what experienced users of ASL—American Sign Language—have always implicitly known: ASL is a grammatically .............. language, as capable of expressing a full range of syntactic relations as any natural spoken language.
Dreams are .............. in and of themselves, but, when combined with other data, they can tell us much about the dreamer.
For \( X = (x_1, x_2, x_3)^T \in \mathbb{R}^3 \), consider the quadratic form:
\[ Q(X) = 2x_1^2 + 2x_2^2 + 3x_3^2 + 4x_1x_2 + 2x_1x_3 + 2x_2x_3. \] Let \( M \) be the symmetric matrix associated with the quadratic form \( Q(X) \) with respect to the standard basis of \( \mathbb{R}^3 \).
Let \( Y = (y_1, y_2, y_3)^T \in \mathbb{R}^3 \) be a non-zero vector, and let
\[ a_n = \frac{Y^T(M + I_3)^{n+1}Y}{Y^T(M + I_3)^n Y}, \quad n = 1, 2, 3, \dots \] Then, the value of \( \lim_{n \to \infty} a_n \) is equal to (in integer).
Ravi had _________ younger brother who taught at _________ university. He was widely regarded as _________ honorable man.
Select the option with the correct sequence of articles to fill in the blanks.