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...name=Kalt>[http://asc.tuwien.ac.at/funkana/woracek/papers/polya.pdf "Polya class theory for Hermite-Biehler functions of finite order"] by [[Michael Kaltenb #''E(z)'' has no zero ([[root of a function|root]]) in the [[upper half-plane]]. ...

...o cope with this it is necessary to use some special comparison functions. Class <math>\mathcal{K}</math> functions belong to this family: ...<math>\alpha : [0, a) \rightarrow [0, \infty)</math> is said to belong to class <math>\mathcal{K}</math> if: ...

...odes on a complex surface of given degree. In degree 7, 9, 11, and 13, the upper bound is given by {{harvtxt|Varchenko|1983}}, which is better than the one {| class="wikitable" ...

...in the calculation of [[Inferior limit|lower bounds]] and [[Superior limit|upper bounds]] of {{math|''M''&thinsp;(''n'')}}, with the following results:<ref {| class="wikitable" ...

...tudent, there is a probability of 1/''n'' that the student will attend the class. If at least one student attends, then the teacher must come and his cost i ...#1: the students are uncorrelated: each student decides whether to come to class or not by tossing a coin with probability <math>1/n</math>, independently o ...

...'' for <math>\Omega</math>. The Nevanlinna class includes all the [[Hardy class]]es. ...bounded type in any bounded region. They are also of bounded type in the [[upper half-plane]] (UHP), because a polynomial <math>f(z)</math> of degree ''n'' ...

...s to determine the asymptotic behavior of a ratio of gamma functions. The upper bound in this inequality is stronger than the one given above. ...gamma functions. His lower bounds were identical to Wendel's. One of his upper bounds was the one given in the statement above, while the other one was so ...

...the '''shattering number''', measures the richness of a [[set family]] or class of functions. It is especially used in the context of [[statistical learnin === Hypothesis-class definition === ...

...ives the properties that the individuals must fulfill to be members of the class. Individuals that fulfill the property are called [[Instance (computer scie * ''Person'', the class of all people, or the abstract object that can be described by the criteria ...

...cipally polarised abelian varieties given as a stacky quotient of [[Siegel upper half-space]] by the [[symplectic group]] <math>\operatorname{Sp}_{2g}(\math ...consists of complex numbers with positive imaginary part, and is thus the upper half plane, which appears prominently in the study of elliptic curves. In ...

...y also be known as a '''pattern class''', '''closed class''', or simply '''class''' of permutations. ...instance, the [[stack-sortable permutation]]s form a principal permutation class, defined by the forbidden pattern 231. However, some other permutation clas ...

{{short description|On jumps of upper numbering filtration of the Galois group of a finite Galois extension}} ...heory]], the '''Hasse–Arf theorem''' is a result concerning jumps of the [[upper numbering]] filtration of the [[Galois group]] of a finite [[Galois extensi ...

The log-rank conjecture states that <math>D(f)</math> is also ''upper-bounded'' by a polynomial in the log-rank: for some constant <math>C</math> proved the upper bound ...

...v, [[Igor Pak]], and Alexander Zimin.<ref>{{cite arXiv |eprint=2410.02545 |class=math.CO |author1=Nikita Gladkov |author2=Igor Pak |title=The bunkbed conjec ...dditional edges, termed ''posts'', are added to connect each vertex in the upper bunk with the corresponding vertex in the lower bunk. ...

{| class=wikitable align=right {| class=wikitable ...

...[[lower semicontinuous]] payoff function has a value (in this context, an upper (lower) semicontinuous function ''K'' is one in which the set <math>\{P\mid ...along the two discontinuities) to either +1 or&nbsp;−1, making the payoff upper or lower semicontinuous, respectively. If this is done, the game then has ...

...scillatory Integral Over exp(iπx) x^*1/x) Between 1 and Infinity|year=2009|class=math.CA}}</ref><ref>{{cite web|url=http://www.perfscipress.com/papers/Unive ...math> grows to infinity, the sums have [[Limit inferior and limit superior|upper and lower limit points]] of −0.812140… and 0.187859…, separated by an [[int ...

...set of diameter one. The [[diameter]] of a set by definition is the least upper bound of the distances between all pairs of points in the set. A shape cove ...sskrift Ser. B | pages = 96–99 | jstor = 24530328}}</ref> This reduced the upper bound on the area to <math>a \le 0.844137708436</math>. ...

...mples of Kodaira class VII surfaces in 1974.<ref>M. Inoue, "On surfaces of class VII₀," ''Inventiones math.'', 24 (1974), 269–310.</ref> ...2, 253&ndash;264 (1994)</ref> that any [[Surfaces of class VII|surface of class VII]] with <math display="inline">b_2=0</math> is a [[Hopf surface]] or an ...

...ic barrier in Roth's theorem on arithmetic progressions |eprint=2007.03528|class=math.NT }}</ref> proved that any set such that <math>\sum_{n \in A} \frac{1 ...new upper bound for sets with no square differences |date=24 February 2021|class=math.NT |eprint=2011.13266 }}</ref> he improved the best-known bound for [[ ...