Adequacy of link families

Adequacy of Link Families

We analyze adequacy of knots and links, utilizing Conway notation, Montesinos tangles and Linknot and KhoHo computer calculations. We introduce a numerical invariant called adequacy number, and compute adequacy polynomial which is the invariant of alternating link families. According to computational results, adequacy polynomial distinguishes (up to mutation) all families of alternating knots a...

The link between dietary glycemic index and nutrient adequacy.

BACKGROUND Low-glycemic index (low-GI) diets may be less nutritious because of limited food choices. Alternately, high-GI diets could be less healthful because of a higher intake of refined carbohydrate. OBJECTIVE The objective was to investigate the association between dietary GI, intakes of carbohydrates from high-GI (CHO(high GI)) and low-GI (CHO(low GI)) sources, and the risk of nutrient ...

Unknotting Numbers of Alternating Knot and Link Families

After proving a theorem about the general formulae for the signature of alternating knot and link families, we distinguished all families of knots obtained from generating alternating knots with at most 10 crossings and alternating links with at most 9 crossings, for which the unknotting (unlinking) number can be confirmed by using the general formulae for signatures.

The Relationship of Economic Welfare and Perceived Financial Adequacy and Satisfaction of Omaha Retired Families

On Selecting Parametric Link Transformation Families in Generalized Linear Models

The use of parametric link transformation families in generalized linear models (GLM) has been shown to improve substantially the t of standard analyses using a xed link in some data sets (see Czado 1993], for example). When link and regression parameters are globally orthogonal (Cox and Reid 1987]), then the variance innation of the regression parameter estimates due to the additional estimati...