The Effect of Seed Location on Functional Connectivity: Evidence from an Image-Based Meta-Analysis

Default mode network (DMN) is the most involved network in the study of brain development and brain diseases. Resting-state functional connectivity (rs-FC) is the most used method to study DMN, but different studies are inconsistent in the selection of seed. To evaluate the effect of different seed selection on rs-FC, we conducted an image-based meta-analysis (IBMA). We identified 59 coordinates of seed regions of interest (ROIs) within the default mode network (DMN) from 11 studies (retrieved from Web of Science and Pubmed) to calculate the functional connectivity; then, the uncorrected t maps were obtained from the statistical analyses. The IBMA was performed with the t maps. We demonstrate that the overlap of meta-analytic maps across different seeds’ ROIs within DMN is relatively low, which cautions us to be cautious with seeds’ selection. Future studies using the seed-based functional connectivity method should take the reproducibility of different seeds into account. The choice of seed may significantly affect the connectivity results.

Arquile Varieties – Varieties Consisting of Power Series in a Single Variable

Spaces of power series solutions $y(\mathrm {t})$ in one variable $\mathrm {t}$ of systems of polynomial, algebraic, analytic or formal equations $f(\mathrm {t},\mathrm {y})=0$ can be viewed as ‘infinite-dimensional’ varieties over the ground field $\mathbf {k}$ as well as ‘finite-dimensional’ schemes over the power series ring $\mathbf {k}[[\mathrm {t}]]$ . We propose to call these solution spaces arquile varieties, as an enhancement of the concept of arc spaces. It will be proven that arquile varieties admit a natural stratification ${\mathcal Y}=\bigsqcup {\mathcal Y}_d$ , $d\in {\mathbb N}$ , such that each stratum ${\mathcal Y}_d$ is isomorphic to a Cartesian product ${\mathcal Z}_d\times \mathbb A^{\infty }_{\mathbf {k}}$ of a finite-dimensional, possibly singular variety ${\mathcal Z}_d$ over $\mathbf {k}$ with an affine space $\mathbb A^{\infty }_{\mathbf {k}}$ of infinite dimension. This shows that the singularities of the solution space of $f(\mathrm {t},\mathrm {y})=0$ are confined, up to the stratification, to the finite-dimensional part. Our results are established simultaneously for algebraic, convergent and formal power series, as well as convergent power series with prescribed radius of convergence. The key technical tool is a linearisation theorem, already used implicitly by Greenberg and Artin, showing that analytic maps between power series spaces can be essentially linearised by automorphisms of the source space. Instead of stratifying arquile varieties, one may alternatively consider formal neighbourhoods of their regular points and reprove with similar methods the Grinberg–Kazhdan–Drinfeld factorisation theorem for arc spaces in the classical setting and in the more general setting.

Tarihi Çevrede Morfolojik Analiz; Kaleiçi, Denizli Örneği / Morphological Analysis in Historical Environment A Case Study for Kaleiçi, Denizli

<p><strong>Abstract</strong></p><p>The aim of this study is to present proposals relating to the conservation-development and regeneration strategies for Denizli–Kaleiçi as a historical environment which is functioned traditional trading and handicraft center. Within this context, it is proposed priority planning sites and themes in Denizli–Kaleiçi by examining the changes in spatial characteristics and functional identity in the historical process. These proposals are defined on a methodological framework called as morphological analysis depending on the cataloging of analytic maps by getting data from historical written and visual sources with a detailed survey. As result, it is considered that this study contributes to planning–designing and implementation studies focused on sustainable conservation–development pursuits according to the different academic and scientific point view and also methodological frame in the context of priority planning sites and themes depending on strategic spatial planning approach.</p><p><strong>Öz</strong></p><p>Bu araştırma, Denizli kentinin mekânsal ve işlevsel açıdan ilk kuruluş yeri olarak geleneksel ticaret–zanaat alanı işlevindeki Kaleiçi tarihsel kentsel alanını konu edinmektedir. Araştırmanın amacı: Denizli–Kaleiçi tarihsel kentsel alanının tarihsel gelişim sürecinde mekânsal karakteristik ve işlevsel kimlik değişiminin irdelenerek, geleceğe yönelik koruma, geliştirme ve yenileme stratejileri için öncelikli müdahale konu ve alanlarına yönelik öneriler geliştirilmesidir. Bu öneriler; Denizli–Kaleiçi tarihsel kentsel alanını, yazılı ve görsel kaynaklar ile yerinde tespit–gözlem–fotoğraflama çalışmaları eşliğinde edinilen bilgi birikiminin, analitik haritalara aktarılması yoluyla morfolojik açıdan analiz edilmesine dayanan yöntem kurgusu eşliğinde ele alınmıştır. Araştırmanın, Denizli–Kaleiçi tarihsel kentsel alanındaki kültürel miras değerlerinden oluşan sosyo–mekânsal ve ekonomik altyapının gelecek kuşaklara aktarılarak, sürdürülebilir kılınmasına yönelik planlama–tasarım ve uygulama düzeyindeki koruma–geliştirme çabalarına “öncelikle müdahale konu ve alanların tespiti” bağlamında akademik–bilimsel araştırma altyapısı ve yöntem olarak farklı bir bakış açısı sunacağı düşünülmektedir.</p>

On Non-Archimedean Curves Omitting Few Components and their Arithmetic Analogues

Let k be an algebraically closed field completewith respect to a non-Archimedean absolute value of arbitrary characteristic. Let D1 , … , Dn be effective nef divisors intersecting transversally in an n-dimensional nonsingular projective variety X. We study the degeneracy of non-Archimedean analytic maps from k into under various geometric conditions. When X is a rational ruled surface and D1 and D2 are ample, we obtain a necessary and sufficient condition such that there is no non-Archimedean analytic map from k into . Using the dictionary between non-Archimedean Nevanlinna theory and Diophantine approximation that originated in earlier work with T. T. H. An, we also study arithmetic analogues of these problems, establishing results on integral points on these varieties over ℤ or the ring of integers of an imaginary quadratic field.