Sentence examples for there exist principal from inspiring English sources

There exist principal strains in a unique element on which only normal strains are imposed.

We discuss about to exist principal eigenvalue for (1.1).

Still unconvinced in 1924, American Architect approvingly quoted an English journal, The Builder, repeating its statement that "there exist two principal ways of destroying buildings, both equally efficient: a) dynamite, b) ivy".

Currently there exist two principal methods for measuring blood pressure: the sphygmomanometer and the catheter.

Based on data available in literature [ 6, 7] as well as on our own experience [ 8- 11], it may be concluded that there exist two principal material-related reasons of UHMWPE failure: wear and oxidative damage.

You are there, exist there.

By the Contraction Mapping Principal, there exists a unique solution of (3.1) and the proof is complete.

According to [25], there exist a positive principal eigenpair of (4) with the Dirichlet boundary condition, and the lemma above follows from this observation.

Even if there exists a principal eigenvalue μ ∗, this may not be isolated because μ ∗ is the infimum of all positive eigenvalues.

Hence there exists a principal solution h of (2) such that h ( t ) > 0 for t ≥ a ≥ 0 and ∫ a ∞ 1 h 2 ( t ) d t = ∞, ∫ a ∞ h ( t ) d t = ∞.

If (u,  h ) is a secondary arc, then there exists no principal path \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$u\!\rightsquigarrow \!h$$\end{document} u ⇝ h.