Sentence examples for are often indispensable from inspiring English sources

In higher mathematics, graphs are often indispensable in allowing researchers to deal with baffling theoretical structures as they always have been.

In works of case-based design, a designer usually chooses a start-up product model (a candidate model) of moderate complexity based on a query model possessing primary new design requirements (kinematic semantics and geometry), then achieves the target design by adapting the candidate model according to the new design requirements and human interventions are often indispensable.

In food and pharma industries sterile surfaces for aseptic packaging and clean rooms are often indispensable.

Although this is mainly based on clinical course and symptoms, biochemical inflammation and sepsis markers are often indispensable to establish diagnosis.

They regulate a diverse range of biochemical pathways and biological functions and are often indispensable signal integrators in a living system.

It is generally a safe procedure and is often indispensable in case of failure of sonography and in the absence of CT or MR facilities [70].

Such rollers constitute equipment whose use is nearly always limited, but which is often indispensable.

Model customization is often indispensable because standardization of local practices is difficult and patient populations may differ [ 10- 12].

Ceremonies are often believed to be indispensable for regulating the course of the Sun and the Moon, the sequence of the seasons, the fertility of plants, the procreation of animals, and the very continuity of human life.

If America is still the world's "indispensable" power, Europe is often its indispensable partner.The EU's embryonic military ambitions were once viewed in Washington with some suspicion, which deepened after Franco-German opposition to the war in Iraq in 2003.

Because of many reasons such as the non-renewable structure of oil and gas resources, prediction of scientists about lack of resources in the near future, etc., oil and gas conflicts occurring in the real world are often complicated; therefore, it is indispensable to describe these complex models with less-complicated game theory models.