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Showing 1501–1530 of 1709 reference entries

Earth & cosmosComparative planetary heat transport and observed phase curves

Planetary circulation couples radiation and dynamics; comparing advective, radiative and rotation time scales organizes possible regimes.

MethodEarth & cosmosSurvey selection in observed and intrinsic coordinates

A survey's detected density is the underlying observable distribution multiplied by a selection probability.

MethodEarth & cosmosActual 3D inversion: synthetic secret-model comparisons

The Dublin Secret Model 1 benchmark compares three actual 3D magnetotelluric reconstructions of a spiral conductor from synthetic impedance data.

MethodEarth & cosmosQAMT 2025: synthetic recovery and a field application

Schiffler and colleagues validate a 3D EM inversion implementation using five synthetic anomalies and compare recovered structures across survey observables.

MethodEarth & cosmosDark-sector models: compare evidence at each scale

GR with cold dark matter is the established cosmological comparison baseline.

MethodEarth & cosmosAcceleration models: fit and independent gravity tests

A constant Λ is the minimal GR acceleration baseline; dynamical fields require additional assumptions and parameters.

MethodEarth & cosmosRadiation–matter exchange in relativistic accretion

Radiation-GRMHD couples the matter-plus-magnetic stress tensor to a radiation tensor with opposite four-force sources, so their sum is covariantly conserved.

MethodMathematics & logicReal-number arithmetic laws

Real arithmetic permits regrouping, distributing and taking nonzero reciprocals.

Mathematical statementMathematics & logicFinite decimal place value

A decimal digit's position determines its power-of-ten weight.

DefinitionMathematics & logicRational numbers and recurring decimals

Terminating or eventually recurring decimals represent exactly the rational numbers.

Mathematical statementMathematics & logicArithmetic with fractions

Fraction arithmetic preserves value by using common denominators or reciprocals.

MethodMathematics & logicAbsolute value and distance intervals

Absolute value measures distance from zero on the real line.

DefinitionMathematics & logicPercent and relative change

A percentage states a ratio per hundred and needs an explicit base.

MethodMathematics & logicOrder rules for real inequalities

Scaling an inequality depends on the factor's sign.

Mathematical statementMathematics & logicInteger powers and positive-base rational powers

Negative exponents use reciprocals; rational exponents use principal roots.

DefinitionMathematics & logicReal logarithms and their laws

A logarithm is the inverse of exponentiation for an admissible positive base.

DefinitionMathematics & logicQuadratic formula and discriminant

The discriminant classifies the real solutions of a quadratic equation.

Mathematical statementMathematics & logicFunction composition and inverses

Composition feeds one output into another function; inversion requires unique preimages.

DefinitionMathematics & logicEuclidean triangle congruence tests

Specified matching sides and angles can establish the same triangle shape and size.

Mathematical statementMathematics & logicEuclidean triangle similarity tests

Triangle similarity keeps corresponding angles and one common positive side scale.

Mathematical statementMathematics & logicAcute-angle right-triangle ratios

Opposite and adjacent legs depend on the chosen acute angle.

DefinitionMathematics & logicRadian angle, circular arc and sector

Radian measure is arc length divided by radius.

DefinitionMathematics & logicPlane area and perimeter formulas

Area measures covered surface; perimeter measures boundary length.

Mathematical statementMathematics & logicRight-prism and cylinder volumes

Volume and surface area measure different aspects of a solid.

Mathematical statementMathematics & logicDescriptive sample center and spread

Mean, median, mode and sample variance summarize observed values.

MethodInformationTwo's-complement signed integers

A signed interpretation assigns a negative weight to the highest bit.

DefinitionInformationOctets and multi-byte order

Byte order describes the significance assigned to successive stored octets.

DefinitionInformationUnicode scalar values and UTF-8

UTF-8 encodes scalar values with a variable number of octets.

DefinitionInformationText boundaries and Unicode normalization

Text equality and character counts depend on the declared representation and convention.

MethodInformationIP addresses and datagram delivery

IP addresses identify network destinations; IP does not guarantee delivery.

Definition
MethodSource checked

Actual 3D inversion: synthetic secret-model comparisons

Earth & cosmos

Research context

research method · conditional · As of 2026-10-10

The Dublin Secret Model 1 benchmark compares three actual 3D magnetotelluric reconstructions of a spiral conductor from synthetic impedance data.

Key knowledge

The Dublin Secret Model 1 benchmark compares three actual 3D magnetotelluric reconstructions of a spiral conductor from synthetic impedance data. A stitched 1D determinant reconstruction is shown separately. Comparing recovered geometry with the known synthetic structure tests inverse recovery beyond forward or sensitivity agreement.

Conditions and scope

  • The original structure was withheld from participants, although two model designers used default settings rather than being blind to it; the data were noise- and distortion-free.
  • Retain impedance sign/coordinate conventions, selected tensor components, mesh, regularization and error floors. Agreement on synthetic data does not certify real-world geological uniqueness.
Sources · 1

References

Sources retain their recorded scope. A source link alone does not establish verification of every statement.

  1. Magnetotelluric 3-D inversion: forward and inversion code testing and comparisonMiensopust, Queralt, Jones and the 3D MT modellers (2013)Research paperacademic.oup.comRead source

Evidence and review

Magnetotelluric 3-D inversion: forward and inversion code testing and comparison: Sections 3.4.1–3.4.2: Dublin Secret Model 1 geometry, synthetic impedance data and actual 3D reconstructions (selected source body inspected).

2026-10-10 · Bounded source check of the recorded statement and conditions. This does not certify a unique physical model, reproduce the cited study or replace independent branch review.

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Showing 1–3 of 3 relationships

Scientific relationships · 3 / 3

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  1. Related to
    Relationship sources · 1

    Linked statements

    • The Dublin Secret Model 1 benchmark compares three actual 3D magnetotelluric reconstructions of a spiral conductor from synthetic impedance data. A stitched 1D determinant reconstruction is shown separately. Comparing recovered geometry with the known synthetic structure tests inverse recovery beyond forward or sensitivity agreement.

    Conceptual association supported by the recorded research scope; this relation does not assert a proven derivation or mandatory prerequisite.

  2. Related to
    Relationship sources · 1

    Linked statements

    • The Dublin Secret Model 1 benchmark compares three actual 3D magnetotelluric reconstructions of a spiral conductor from synthetic impedance data. A stitched 1D determinant reconstruction is shown separately. Comparing recovered geometry with the known synthetic structure tests inverse recovery beyond forward or sensitivity agreement.

    Conceptual association supported by the recorded research scope; this relation does not assert a proven derivation or mandatory prerequisite.

  3. Related to
    Relationship sources · 1

    Linked statements

    • Schiffler and colleagues validate a 3D EM inversion implementation using five synthetic anomalies and compare recovered structures across survey observables. They also invert Lake Hatchet airborne data. Combined horizontal/vertical magnetic-transfer data improve synthetic boundary recovery in the studied setup; field fit is distinct from a known subsurface truth.

    Conceptual association supported by the recorded research scope; this relation does not assert a proven derivation or mandatory prerequisite.

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research-earth-mt-3d-benchmark
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Structured reference record
Postgraduate & research reference