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CONSTRAINED ADDITIVE ORDINATION

Ecology, 2006
For several decades now, ecologists have sought to determine the shape of species' response curves and how they are distributed along unknown underlying gradients, environmental latent variables, or ordination axes. Its determination has important implications for both continuum theory and community analysis because many theories and models in ...
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Ordinal variables

1989
Abstract In the analysis of categorical data, ordinal variables are commonly encountered. The categories are known to have an order but knowledge of the scale is insufficient to consider them as forming a metric. Although they may be treated simply as nominal categories, as in the first two chapters, valuable information is being lost ...
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Bayesian analysis of square ordinal‐ordinal tables

British Journal of Mathematical and Statistical Psychology, 1999
We analyse square contingency tables with ordered categories. Assuming that the observed ordinal categorical variables are manifestations of underlying continuous variables, we formulate a model which allows the comparisons of locations and dispersions between variables.
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Theories and Ordinals: Ordinal Analysis

2007
How do ordinals gauge the strength and computational power of theories and what kind of information can be extracted from this correlation? This will be the guiding question of this talk. The connection between ordinal representation systems and theories is established in ordinal analysis, a central area of proof theory. The origins of proof theory can
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Ordinal Trees and Computable Ordinals

1987
In chapter 2.6 we have indicated how appropriate finite path trees can be used for specifying infinite computable production processes. We shall generalize Definition 2.7.5 of trees by also admitting nodes with infinite branching. Such nodes will serve as names for functions with infinitely many arguments such as “\( \mathop {\lim }\limits_{n \to ...
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Ordinal Numbers and Ordinal Terms

1977
In this chapter we develop a constructive system of ordinals which we shall use in §16 and Chapter VIII for the proof-theoretic treatment of pure number theory and predicative analysis. In §13 we start from a non-constructive presentation of the. classical theory of ordinals in which we take as basis a corresponding axiomatic characterization of the ...
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Ordination

2008
Ordination is a set of analyses that aim to summarize and present multivariate data to display differences between samples graphically into fewer dimensions than the original data set. Ordinations fall into one of two categories: unconstrained and constrained.
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Ordine gigante, ordine nano

2018
Quando nel 1976 Reyner Banham riunì sotto il termine Megastructure le nuove opportunità di vita dell’architettura moderna rispetto alla grande scala, senz’altro non immaginava a cosa potevano condurre le sfide attuali di concentrazione finanziaria e affluenza economica nelle città mondiali, trasformate sotto forma di una accumulazione anche fisica e
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Ordinals

1991
AbstractThe simple and general principles of induction are powerful tools for proving things about the natural numbers. This chapter investigates ways in which they can be generalized to apply to a very much wider class of ordered sets than the subsets of ω.
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Ordination Methods

2012
Miriam Zelditch   +2 more
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