If I am not sure which module the function I want belongs to, I can directly enter a keyword in the search bar to search (I am very thankful that my mathematica is in Chinese). The effect is as follows: A little surprise: when I select "Symbol and Numerical Calculation" in the secon...
If I am not sure which module the function I want belongs to, I can directly enter a keyword in the search bar to search (I am very thankful that my mathematica is in Chinese). The effect is as follows: A little surprise: when I select "Symbol and Numerical Calculation" in the secon...
When you don’t specify precision, Mathematica uses MachinePrecision, which is a built-in symbol that denotes the precision native to your computer’s floating-point capabilities. The numerical value of MachinePrecision is stored in a variable $MachinePrecision. In[31]:= $MachinePrecision Out[31...
In the paper at hand, we are going to put the focus on how to overcome certain difficulties given by the setting of metric measure spaces. The main difficulty that leads to such obstacles is given by the fact that the standard definition of the space\(\mathrm {BV}\)on a metric measure...
By an abuse of notation we will use the same symbol L for the contact line bundle and the corresponding Weil divisor. On X_{sm} we have an equality of classes of Weil divisors (n+1)L_{|X_{sm}} = -K_{X_{sm}} given by \vartheta \wedge (d \vartheta )^{\wedge n}. By th...
If we add a symbol for the complex exponential to the language, however, strong minimality does not hold anymore: the kernel ofis a countable definable subset of. In fact, the ring of integers is definable as the multiplicative stabilizer of the kernel, and this leads to the failure of good...
in order to distinguish them from other connections to be introduced later, following the standard convention in the literature on teleparallel and related gravity theories, where this distinction becomes relevant; note that this circle is a dis- tinct symbol from a zero denoting the zeroth velocity...
The splitting number belongs to the family of cardinal characteristics. All of them stabilize at \omega _1 under the continuum hypothesis, a fortiori under diamond. Hence it is a good test problem to check the possible value of any cardinal characteristic under tiltan....
{\text {Bun}}}_P\rightarrow {\text {Bun}}_Gof Sect. 1.1.4. The symbol\widetilde{{\mathsf {p}}}has been chosen in both cases in order to be consistent with both [2,13]. The two are unlikely to be confused, as the stack\widetilde{\text {Bun}}_Pwill not appear again in ...
By contrast, the Hall algebraseems to be far less understood. For instance, an explicit description of (the spherical part of)by generators and relations is known only whenCis rational [22] or elliptic [6]. Our principal motivation is to get a better understanding of this algebra. One way...