Search results

In [[algorithmic information theory]], '''sophistication''' is a measure of complexity related to [[algorithmic entropy]]. ...t3 = Luís |last4 = Souto |first4 = André |title = Descriptional Complexity of Formal Systems |series = Lecture Notes in Computer Science |year = 2013 |vo ...

...time]] of the algorithm with nearly minimal length, rather than the length of the minimal algorithm. ...gical Depth |url=https://doi.org/10.1007/s00224-016-9672-6 |journal=Theory of Computing Systems |language=en |volume=60 |issue=2 |pages=280–298 |doi=10.1 ...

...[[Computer memory|memory]]) that an [[algorithm]] requires given an input of arbitrary size (commonly denoted as {{mvar|n}} in [[Big O notation|asymptot ...xity is commonly used to compare the [[Algorithmic efficiency|efficiency]] of two algorithms. ...

...r simplicity: A fundamental cognitive principle?"] ''The Quarterly Journal of Experimental Psychology'', 52 (A), 273–302.</ref> computer scientist [[Paul Technically, simplicity corresponds in a drop in [[Kolmogorov complexity]], which means that, for an observer, the shortest description ...

...el]] and [[Jacob Ziv]]. This complexity measure is related to [[Kolmogorov complexity]], but the only function it uses is the recursive copy (i.e., the shallow c ...nces with a certain regularity do not have a too large complexity, and the complexity grows as the sequence grows in length and irregularity. ...

...oup theory]], the '''diameter''' of a [[finite group]] is a measure of its complexity. ...hen the diameter of <math>\left(G,\circ\right)</math> is the largest value of <math>D_S</math> taken over all generating sets {{mvar|S}}. ...

...=Philip|last2=Long|title=A Generalization of Sauer's Lemma|journal=Journal of Combinatorial Theory|volume=71|pages=219–240|year=1995}}</ref> Let <math>H</math> be a set of functions from a set <math>X</math> to a set <math>Y</math>. <math>H</math> ...

...Discipline Biomolecular Stereodynamics |pages=69–77 |chapter=Making sense of the human genome|publisher=Adenine Press |location=Albany, New York}}</ref> ...3 = W. | author3-link = Wojciech Szpankowski | title = On average sequence complexity | doi = 10.1016/j.tcs.2004.06.023 | journal = Theoretical Computer Science ...

{{Short description|Difficulty measures for computer science problems}} ...P]] predicates. A collapse of the boolean hierarchy would imply a collapse of the [[polynomial hierarchy]].<ref name=ChangK96>{{cite journal ...

{{Short description|Distance of a graph from a split graph}} ...possible edges within this subset). The splittance is the smallest number of edge additions and removals that transform the given graph into a split gra ...

...d much less attention than the total correlation. A measure known as "TSE-complexity" defines a continuum between the total correlation and dual total correlati ...iables x, y, and z. The dual total correlation is represented by the union of the three mutual informations and is shown in the diagram by the yellow, ma ...

...Jerry Fitzpatrick in 1997 to overcome the drawbacks of the [[Source lines of code|LOC]].<ref name=":0">{{Cite journal |last=Fitzpatrick |first=Jerry |da ...ts]] (A), number of [[Branch (computer science)|branches]] (B), and number of [[Conditional (computer programming)|conditionals]] (C) in a program. ABC s ...

..., that has flat sides. It may alternatively be defined as the intersection of finitely many [[Half-space (geometry)|half-spaces]]. Unlike a 3-dimensional ...'''R'''^''n'' and ''b_i'' are scalars. This definition of polyhedra is particularly important as it provides a geometric perspective ...

...f a [[Reuleaux triangle]] and its reflection across the center of symmetry of the subset]] ...ntral symmetry|centrally symmetric]] it is. It is the fraction of the area of the set that can be covered by its largest centrally symmetric subset.{{r|g ...

{{For|twists of curves in algebraic geometry|twists of elliptic curves}} ...number'') <math>Tw</math> measures the average [[winding number|winding]] of the edge curve <math>X'</math> around and along the axial curve <math>X</ma ...

{{Short description|Model of computational complexity}} ...uence of ''queries'' or ''tests'' that are done adaptively, so the outcome of previous tests can influence the tests performed next. ...

...ubfield of [[computational complexity theory]] that studies the complexity of computational problems on "most inputs". ...ng the complexity of a [[computational problem]] by neglecting a small set of ...

{{AFC submission|d|nn|u=David of Earth|ns=118|decliner=Felix QW|declinets=20240626115055|reason2=v|ts=202404 ...'s measure problem]] already contains the verifiable, encyclopedic content of this draft. As the latest reference provided here is from 1978, it is uncle ...

{{Short description|Theorem about complexity measures of Boolean functions}} ...ion <math>f\colon \{0,1\}^n \to \{0,1\}</math> is at least the square root of its ''degree'', thus settling a conjecture posed by Nisan and Szegedy in 19 ...

...Consider model classes consisting of models of given maximal [[Kolmogorov complexity]]. ...The Kolmogorov structure function precisely quantifies the goodness-of-fit of an individual model with respect to individual data. ...