Gradients

The property that qualities vary slowly, subtly, gradually across the extent of each living thing; gradients arise as natural responses to changing circumstances and create field-like character that points toward and establishes centers

Neighborhood — ranked by edge-count

Papers (1)

paper

Understanding Christopher Alexander's Fifteen Properties via Visualization and Analysis
implementsmentions

Frameworks (1)

framework

Fifteen Properties of Living Structure
associated_withimplements
The set of geometric properties that appear in all living structure: levels of scale, strong centers, boundaries, echoes, gradients, deep interlock and ambiguity, local symmetries, roughness, inner calm, not separateness, and others.

Communities (2)

community

Fifteen Properties
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Christopher Alexander
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Concepts (5)

concept

Gradients Transformation
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A structure-preserving transformation: using gradual change across space to soften and intensify transitions.
Structure-Preserving Transformations
uses
Chapter 2 of Volume 2 of The Nature of Order, introducing structure-preserving transformations as the mechanism by which living structure arises naturally through unfolding wholeness.
Living process
uses
A generative process that repeatedly applies the fundamental process to create uniqueness and belonging in the environment
Levels of Scale
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The property that living structures contain centers at a beautiful range of sizes at well-marked levels with definite jumps, where each level helps the next; jumps should not be too great (ideally 2:1 to 4:1, less than 10:1)
Field effect
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An emergent ordering created by a well-arranged structure of centers of different sizes, binding them into a whole.

Chapters (2)

chapter

Chapter 5: Fifteen Fundamental Properties
introduces
The chapter that catalogs and analyzes the fifteen recurrent geometric properties found in systems that have life, connecting them to the deeper theory of centers and wholeness
Always Making Centers
mentions
Chapter 10 of The Nature of Order, Vol 2, describing the process of creating living centers through differentiation and the fundamental process.

Related by similarity (8)

cosine ≥ 0.65 · no typed edge

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

Gradient Descentmethod0.882
Used for updating hidden state expectations; provides dynamical process theory testable against neuronal data
Gradient methodmethod0.866
Optimization technique that computes weight changes by following the gradient of an error function; contrasted with evolutionary stochastic search.
Gradient-based data attributionmethod0.825
Baseline method against which probe-based ranking is compared; more computationally expensive.
Gradient conflictconcept0.813
When gradients of different tasks have negative cosine similarity, harming multi-task learning.
Positional information gradientconcept0.806
Gradient that tells a cell its correct position; stress arises from deviation from this gradient.
Gradients are nearly non-existent in the modern environment because naive standardization, mass-production, and regulation of sizes all work against their formationclaim0.792
Claim that one of the most powerful forms of life has been almost removed from the environment by industrial production norms
Gradients play a large role in nature (mountains, electric fields, embryos, rivers) and are mirrored by the success of mathematical tools like tensor calculus.claim0.781
gradient-magnitude balancingconcept0.780
Addressing disparity in gradient magnitudes across tasks at the gradient level