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Record W4206463141 · doi:10.5948/upo9781614444039.001

The Problems

2012· book-chapter· en· W4206463141 on OpenAlexaboutno aff
Mark Krusemeyer, George Gilbert, Loren C. Larson

Bibliographic record

VenueAmerican Mathematical Society eBooks · 2012
Typebook-chapter
Languageen
FieldMathematics
TopicMarkov Chains and Monte Carlo Methods
Canadian institutionsnot available
Fundersnot available
KeywordsNoticePleasureSet (abstract data type)EntertainmentClass (philosophy)Perspective (graphical)PsychologyComputer scienceVisual artsArtPolitical scienceArtificial intelligenceLaw

Abstract

fetched live from OpenAlex

<div class="abstract" data-abstract-type="normal"> Inside this book is an older book. In 1993, the MAA published “The Wohascum County Problem Book”, and a few years ago we were asked to consider reissuing that book with a less rustic and more descriptive title. Meanwhile, we had many more problems to contribute, and so the original list of 130 has grown to 208. The new problems are, if anything, more likely to involve pattern finding and experimentation, although technology is generally not needed or even particularly helpful. In difficulty the new problems tend to be in the middle range of the original book, so anyone familiar with that book who looks only at the very beginning or the very end of the problem list may not notice much difference. From a geographical perspective, we haven't tried to move the problems that were originally set in Wohascum County, and we still can't tell you where to look for that setting on a map. We have been asked, and in any case it is appropriate in a preface, to say something about the purpose of this particular collection. There are actually multiple purposes, and different users will no doubt have their own priorities. One purpose is entertainment; we think these problems are attractive and will provide mathematical pleasure to those who spend time with them. This has been confirmed over the years by undergraduates at Carleton and St. Olaf Colleges, where many of the problems were first posed as weekly challenges, by high-school age (but unusually talented and enthusiastic) participants at Canada/USA Mathcamp, and by a variety of others. </div>

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)0.002
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: Theoretical or conceptual
GenreCandidate signal: Other · Consensus signal: Other
Teacher disagreement score0.441
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0020.000
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0000.000
Science and technology studies0.0000.002
Scholarly communication0.0000.000
Open science0.0010.000
Research integrity0.0000.001
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 head0.060
GPT teacher head0.316
Teacher spread0.256 · 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
Published2012
Admission routes1
Has abstractyes

Explore more

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