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Two consequences of the local minimum theorem were discussed in [15] (see [15], Section 4).
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As a consequence, minimum theorems are derived in terms of crack tip "quasi static velocity".
In an accompanying paper, the minimum theorems are applied to the evaluation of design related properties of the cyclic state of a creeping body.
The model is chosen to provide an intermediary description between perfect plasticity, for which general minimum theorems are already known, and more complex and realistic creep constitutive relationships involving internal state variable.
A steady cycle minimum principle, integrated form of the aforementioned minimum net resistant power theorem, is provided, which characterizes the structure's steady state response (steady cycle) and proves to be an extension to the present context of known principles of perfect plasticity.
First, it eliminates interactions that are below a minimum MI threshold, and then the Data Processing Inequality (DPI) theorem is used to eliminate interactions that are considered sampling errors.
Next, a minimum subset of dimensionless parameters using the Buckingham Π theorem is selected.
Applications of the Large Gain Theorem are discussed and numerical examples illustrating the concept of minimum gain and the Large Gain Theorem are presented.
Now, we know that theorem is false.
Six weeks later, the theorem was proved.
A new theorem is a breakthrough in human thought.
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