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Record W152137663 · doi:10.1007/978-1-4612-1330-7_7

Energy Method in Elasticity Theory

2000· book-chapter· en· W152137663 on OpenAlexaff
Teodor M. Atanacković, Ardéshir Guran

Bibliographic record

VenueBirkhäuser Boston eBooks · 2000
Typebook-chapter
Languageen
FieldEngineering
TopicDynamics and Control of Mechanical Systems
Canadian institutionsSTMicroelectronics (Canada)
Fundersnot available
KeywordsAnalytical mechanicsClassical mechanicsWork (physics)Elasticity (physics)Differential (mechanical device)Invariant (physics)Differential equationMathematicsPhysicsTheoretical physicsMathematical analysisMathematical physicsQuantum mechanicsThermodynamics

Abstract

fetched live from OpenAlex

In general in physics and particularly in mechanics the concepts of work and energy play an important role that can be traced even in the works of Aristotle. Work and energy are invariant quantities since they do not depend on the choice of coordinate system. In addition, many fundamental laws of mechanics can be expressed in two ways: first by the requirement that certain differential equations are satisfied (for example, in the equilibrium state of an elastic body the differential equations (1.3-10) hold) or by the requirement that a specific quantity in a given state (motion or equilibrium) is in minimum. The second approach comprises what is called the variational methods of mechanics. In this method work and energy are of fundamental importance.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Other · Consensus signal: Other
Teacher disagreement score0.636
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0010.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.008
GPT teacher head0.196
Teacher spread0.188 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

Study designTheoretical or conceptual
Domainnot available
GenreOther

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2000
Admission routes1
Has abstractyes

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