We show that the rank generating function U ( t ; q ) for strongly unimodal sequences lies at interface of quantum modular forms and mock forms. use (-1; to obtain a form which is “dual” Zagier constructed from Kontsevich’s “strange” F ). As result, we new representation certain L -values. The series i = (- form, this fact congruences enumerative functions.

We prove the Marchenko–Pastur law for eigenvalues of [Formula: see text] sample covariance matrices in two new situations where data does not have independent coordinates. In first scenario — block-independent model coordinates are partitioned into blocks such a way that entries different independent, but from same block may be dependent. second random tensor is homogeneous order text], i.e. all products variables chosen set variables. show holds as long size largest and text]. Our main...

We prove the Marchenko-Pastur law for eigenvalues of $p \times p$ sample covariance matrices in two new situations where data does not have independent coordinates. In first scenario - block-independent model $p$ coordinates are partitioned into blocks such a way that entries different independent, but from same block may be dependent. second random tensor is homogeneous order $d$, i.e. all $\binom{n}{d}$ products $d$ variables chosen set $n$ variables. show holds as long size largest $o(p)$...

Random fields are commonly used for modeling of spatially (or timely) dependent stochastic processes. In this study, we provide a characterization the intrinsic complexity random field in terms its second order statistics, e.g., covariance function, based on Karhumen--Loéve expansion. We then show scaling laws correlation length as it goes to 0. discrete setting, analogy is approximation set vectors principal component analysis. precise law when have independent and identically distributed...

"Confronting Political Islam: Six Lessons from the West's Past." The Review of Faith & International Affairs, 13(4), pp. 95–96

Institutions of incarceration have always had some type recreational program but the outcomes these types programs not been well documented. Historically, they time fillers to keep inmates busy, and used as an element social control. In this study, we examined a correctional program, especially its impact upon prisoners' ( N = 177) self-esteem. It was found that use recreation coping mechanism for their because is only during day in which can freely express personality and, thus, activity...

A review of Paul Marshall and Nina Shea, Silenced: How Apostasy Blasphemy Codes are Choking Freedom Worldwide (New York: Oxford University Press, 2011), a book that examines the impact apostasy blasphemy laws on converts away from Islam, religious minorities, Muslim intellectuals, also includes essays by three contributors who argue Islam itself does not require, or even support, temporal punishments for blasphemy.

The intersection of Islam and religious freedom is vital importance for minorities—both non-Muslims who live as minorities in Muslim-majority areas, Muslims countries where not the predominant faith. But also majority—for contexts. There has been limited scholarship devoted to perspectives support freedom. This collection articles examines complex political societal circumstances surrounding freedom, it outlines risks alike restricting countries.

Random fields are commonly used for modeling of spatially (or timely) dependent stochastic processes. In this study, we provide a characterization the intrinsic complexity random field in terms its second order statistics, e.g., covariance function, based on Karhumen-Lo\'{e}ve expansion. We then show scaling laws correlation length as it goes to 0. discrete setting, becomes approximate embeddings set vectors. precise law when vectors have independent and identically distributed entires using...

"Only the Lover Discerns":A Brief Introduction to Ida Friederike Görres Hanna-Barbara Gerl-Falkovitz (bio) and Jennifer S. Bryson Historical (and often neglected) texts in Catholic intellectual tradition with contemporary comment reflection translator's preface On April 17, 1970, Badenweiler, Germany, (1901–1971), an Austrian Catholic, delivered a rousing lecture titled "Trusting Church" audience of Germans dismayed, maybe even shock, about developments Church Germany after Second Vatican...

When Does a Person Have Capacity for Liturgy? Ida Friederike Görres, and Jennifer S. Bryson (bio) Key Words liturgy, liturgical catechesis, Guardini, Maria Laach, Theodor Bogler, Vatican II, reform Translator's Introduction Historical (and often neglected) texts in the Catholic intellectual tradition with contemporary comment reflection In letter 1964, Fr. Romano Guardini offered his guidance participants of conference on liturgy Mainz, Germany. He asked, “Is act, it meaning general, so...

Wann ist der Mensch liturgiefähig? Ida Friederike Görres Translated by Jennifer S. Bryson Note: The title of the German text this essay, “Wann liturgiefähig?” does not appear in original version essay. Regarding title, please see Translator’s Introduction. Görres, untitled essay Ist von heute noch Ergebnisse einer Umfrage, edited Theodor Bogler, OSB. Maria Laach, Germany: Verlag Ars Liturgica, 1966, 57–63. This was later reprinted as “Ist heutige Wolfgang Lehmann, Josef Ratzinger, Der...