gradient fields

[/ˈɡreɪdiənt fiːldz/]
nounpl: gradient fields
campos de gradiente
1. In mathematics and physics, a vector field that represents the spatial rate of change of a scalar quantity, where each point has a vector pointing in the direction of steepest increase
The gradient fields in this electromagnetic model show how the electric potential changes across space.
Os campos de gradiente neste modelo eletromagnético mostram como o potencial elétrico muda através do espaço.
2. In computer science and machine learning, the direction and magnitude of change in loss or error functions used during optimization algorithms
The neural network uses gradient fields to adjust weights during backpropagation.
A rede neural usa campos de gradiente para ajustar pesos durante a retropropagação.
3. Visual representation of scalar field variations as vector fields showing directional flow and magnitude
The temperature gradient fields reveal heat flow patterns in the material.
Os campos de gradiente de temperatura revelam padrões de fluxo de calor no material.
This is primarily technical terminology used in academic and professional contexts in both Brazil and Portugal. The term is most commonly encountered in mathematics, physics, engineering, and machine learning courses. In Brazil, 'campos de gradiente' is the standard translation, while in Portugal, both 'campos de gradiente' and 'campos gradientes' may be used interchangeably in technical literature.
Synonyms / Sinônimos
vector fieldsscalar gradientsgradient vectorsdirectional derivatives

Regional Variations

General Brazilian
campos de gradiente
Standard academic and scientific usage
Portugal
campos gradientes
Alternative form sometimes used in European Portuguese
Technical/Academic
campos de gradiente; campos gradientes
Used in mathematics, physics, and machine learning contexts across Portuguese-speaking regions

Related Words

vector fieldscalar fielddivergencecurlLaplacianpartial derivativesoptimization
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