Sentence examples for used for each element from inspiring English sources

Normal priors were used for each element of θ, that is: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\begin{array}rcl@ \theta_{i} &\sim& N 0, 10^{4}) \hspace{1cm} \text{for}~~ i=1,2,3.

To accurately evaluate the shear response of the wall specimens, two sets of X-type diagonal concrete elements D were used for each macro-element (θ c  = 45°; h w  = 948 mm for MSW2 and MSW3; and n = 2).

For the shear response of the squat wall specimens, two sets of X-type diagonal elements D were used for each macro-element (θ c  = 45°; h w  = 1202 mm for Test1 and h w  = 1251 mm for Test6; and n = 2).

Thirteen longitudinal elements of concrete and re-bar and two sets of X-type diagonal elements of concrete were used for each macro-element (θ c  = 45°; h w  = 1252 mm for W1 and 1366 mm for W2; and n = 2).

Seventeen longitudinal uniaxial elements of concrete and re-bar were used for each macro-element.

Eleven longitudinal elements of concrete and re-bar were used for each macro-element.

In the T-shaped wall, ten longitudinal elements (L1 and L2) of concrete and re-bar were used for each macro-element.

A further means of reducing the risk of collusion between parties would be to have many Carols and Davids available, all functionally equivalent, and for Alice and Bob to mutually agree on which instances of Carol and David to use for each data element (attribute) only at the very last moment.

Decide what color foam to use for each design element.

Three macro-elements were used for each wall specimen.

In the fixed antenna selection, on the other hand, M adjacent antenna elements are used for each user.