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Everything about Field trace
Mathematical function
In mathematics, the field trace is a particular function defined with respect to a finite field extension L/K, which is a K-linear map from L onto K. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Field traceA 5-minute orientation
- Skim a recent paper: Constraining the stress field and its variability at the BedrettoLab: Elaborated hydraulic fracture trace analysisInfluential work since 2022
- Pick up a classic book: Catalogue of type invertebrate, plant, and trace fossils in the Royal Ontario MuseumThe most-reprinted book on the subject
- Read the landmark paper: A synaptic memory trace for cortical receptive field plasticityCited 582 times
- Go sideways: Field normA closely related topic
- Go sideways: Discriminant of an algebraic number fieldA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
A synaptic memory trace for cortical receptive field plasticity
Recent Developments in the Field of Explosive Trace Detection
Field‐based partition coefficients for trace elements in soil solutions
Bioconcentration of Trace Metals in Rainbow Trout: A Field Study
Novel plasmonic field-enhanced nanoassay for trace detection of proteins
Selective drug trace detection with low-field NMR
Drier for field use in the determination of trace atmospheric gases
Trace Analysis by Low-Field NMR: Breaking the Sensitivity Limit
🆕 Influential since 2022
Constraining the stress field and its variability at the BedrettoLab: Elaborated hydraulic fracture trace analysis
Mineralogy and trace element geochemistry of hydrothermal sulfides from the Ari vent field, Central Indian Ridge
Trace iron induced piezo-polarization field strength on piezo-promoted peroxymonosulfate activation for pollutant degradation
Field determination and ecological health risk assessment of trace metals in typical mariculture area of China
Trace detection of SARS-CoV-2 N-protein by diamond solution-gate field-effect transistor
📚 Books worth reading
Catalogue of type invertebrate, plant, and trace fossils in the Royal Ontario MuseumRoyal Ontario Museum., Janet Waddington · 1978- 📕Micronutrient assessment at the country levelMikko Sillanpää · 1990
- 📕Agroėkologicheskoe obosnovanie biologizat︠s︡ii rastenievodstva na i︠u︡go-zapade T︠S︡entralʹnogo regiona RossiiOlʹga Vladimirovna Melʹnikova · 2010
- 📕TRACELockheed Martin Solar & Astrophysics Lab · 2003
- 📕Trace element deficiencies in field crops. · 1980
- 📕The Selberg Trace Formula for PSL(2,O K) for imaginary quadratic number fields K of arbitrary class numberPia Bauer-Price · 1991
A survey of trace forms of algebraic number fieldsP. E. Conner, R. Perlis · 1984- 📕Recognising micronutrient disorders of crop plants on the basis of visible symptoms and plant analysisS. C. Agarwala · 1979
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Hilbert's Theorem 90 In abstract algebra, Hilbert's Theorem 90 (or Satz 90) is an important result on cyclic extensions of fields (or to one of its generalizations) that leads…
- Tensor product of fields In mathematics, the tensor product of two fields is their tensor product as algebras over a common subfield. If no subfield is explicitly specified, the…
- Primitive element theorem In field theory, the primitive element theorem states that every finite separable field extension is simple, i.e. generated by a single element. This theorem…
- Artin reciprocity The Artin reciprocity law, which was established by Emil Artin in a series of papers (1924; 1927; 1930), is a general theorem in number theory that forms…
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- Dual basis in a field extension In mathematics, the linear algebra concept of dual basis can be applied in the context of a finite field extension L/K, by using the field trace. This…