All three authors want us to understand how Riemann transformed questions about primes into ones about dips in his landscape -- from the steps of counting numbers to the continuum of measuring numbers, as Derbyshire puts it.
It has very clearly been shown that glucose intolerance in pregnancy is not a threshold phenomenon but, rather, is linked to several adverse pregnancy outcomes along a continuum of measured glucose values in both fasting and postprandial (or glucose challenge) states (9– 11).
To evaluate neutrophil activation in the continuum of sepsis measuring cell surface receptors and oxidative metabolism; to evaluate monocyte activation measuring oxidative metabolism; and to evaluate the correlation between cell activation and organ dysfunction.
These parameters describe the position of the persons, items and thresholds on the unidimensional continuum of the measured latent trait (e.g., low to high quality of life).
Limitations in the scaling properties of a measure can contribute to inconsistent MID estimates, as they may depend upon where a patient or group falls along the continuum of the measure.
Rasch analysis can be used to detect gaps in the continuum of the measured construct by identifying poor targeted items or persons, such as items for which there is an insufficient number of persons with an intensity level comparable to the item challenge, or persons for which there is an insufficient number of items with a challenge level comparable to the person's intensity [ 40].
It has been shown that this indirect demand function can be obtained as a result of utility maximization in a market with a continuum of consumers of measure M n and the following assumptions.
In the continuum of health outcomes measures, biomarkers and intermediate outcomes can be identified as disease centered measures, reflecting the biology of the disease process and the underlying mechanism of disease.
Through a local approximation of the exponential map [14], the deformed lattice vectors and the angles between two lattice vectors can be analytically represented in terms of the continuum deformation measures of the surface, i.e., C and K, the stretch and curvature tensors, respectively.
It has been long known that there is a continuum of possible diversity measures all of which are related to Rényi's definition of generalized entropy [ 31, 32].
