Sentence examples for results there exists from inspiring English sources

Then, from the local existence results, there exists (bar{T}'>bar{T}) such that (2.5) and (2.6) hold for (T=bar{T}'), which contradicts (3.1).

From the local existence results, there exists a (T^) such that (1.1 - 1.4 1.1 - 1.4nique classical solution ((m,n,u)) on ((0,T^]).

However, in the calculation results there exists uncertainty inevitably, which is propagated from uncertainty in input parameters, computing models and calculation methods.

Judging from these results, there exists different shift sensitive-temperatures and molecular bases for chloroplast development under high temperatures in rice.

Despite the importance of timing in determining mine blast results, there exists a lack of methodologies or tools with which to assess performance of a complete blast based on delay type and timing sequence.

According to the microhardness measurement results, there exists a layer of contamination of about 30 μm into the alloy after the enamel was vitrified for 30 min at 900 °C in air; but the depth of oxygen contamination into the alloy changed little after oxidation for 1000 h at 600 °C.

For the global existence and uniqueness results, there exist two main methods.

This quadratic model finds some interesting results: there exist both U shaped and inversely U shaped relationships between the ESG scores and FP in Korea stock market.

Although OMP and CoSaMP are able to achieve the high-resolution results, there exist some problems with these classic matching pursuit techniques.

Should future studies validate the current results, there exist additional implications for those at increased risk of concussion and prolonged recovery, especially youth and adolescent athletes [33, 55].

As a result, there exists a great deal of information regarding the mechanisms by which various agents, external and internal, give rise to tumours.