Spiritual Triumph of the Self in W. B. Yeats’ “A Dialogue of Self and Soul”

“A Dialogue of Self and Soul” is an autobiographical poem by William Butler Yeats (1865-1939). It is written in the form of a conversation. The poem displays a conflict between the desire to live and yearning to get liberated from the cycle of birth and death. It first appeared in the collection The Winding Stair and Other Poems in 1933. In it, the Self represents human being whereas the Soul stands for divinity. Self represents the desire to live on in spite of difficulties. On the other hand, Soul represents the desire to be liberated from the cycle of birth and death. This conversation between two personality-traits of Yeats draws comparisons with the poem, “Strange Meeting” by Wilfred Owen. In this poem Owen describes a soldier’s descent into Hell where he meets an enemy soldier. The dead soldier talks about the horrors of war and the ability to fathom that gruesome experience by only those who have been involved. However the dead soldier i.e. the man in Hell is the soldier’s double or his ‘other’. He is the reflection of the speaker himself. A man’s encounter with his double is represented here as well by W. B. Yeats

Dimension Independent Helly Theorem for Lines and Flats

We give a generalization of dimension independent Helly Theorem of Adiprasito, B\'{a}r\'{a}ny, Mustafa, and Terpai (Discrete & Computational Geometry 2022) to higher dimensional transversal. We also prove some impossibility results that establish the tightness of our extension.Comment: 10 page

Stabbing boxes with finitely many axis-parallel lines and flats

We give necessary and sufficient condition for an infinite collection of axis-parallel boxes in $\mathbb{R}^{d}$ to be pierceable by finitely many axis-parallel $k$-flats, where $0 \leq k < d$. We also consider colorful generalizations of the above result and establish their feasibility. The problem considered in this paper is an infinite variant of the Hadwiger-Debrunner $(p,q)$-problem.Comment: 13 page

Regular variation and free regular infinitely divisible laws

In this article the relation between the tail behaviours of a free regular infinitely divisible (positively supported) probability measure and its L\'evy measure is studied. An important example of such a measure is the compound free Poisson distribution, which often occurs as a limiting spectral distribution of certain sequences of random matrices. We also describe a connection between an analogous classical result of Embrechts et al. [1979] and our result using the Bercovici-Pata bijection.Comment: Revised version, sections re-structured, new applications added and typos correcte