Tootfinder

A New Method of Constructing Hadamard Matrices, Circulant Hadamard Matrices, CZCS, GCS, CCC, and CZCSS
Piyush Priyanshu, Sudhan Majhi, Subhabrata Paul
https://arxiv.org/abs/2510.12315

A New Method of Constructing Hadamard Matrices, Circulant Hadamard Matrices, CZCS, GCS, CCC, and CZCSS
A Hadamard matrix $H$ is a square matrix of order $n$ with entries $\pm 1$, such that $HH^\top=nI_{n}$, where $I_n$ is an identity matrix of order $n$. A circulant Hadamard matrix $H$ is a Hadamard matrix that has rows of entries in cyclic order. There exist only $8$ circulant Hadamard matrices of order 4, and here, we provide a novel construction of all such $8$ circulant Hadamard matrices using a linear operator and generalized Boolean function (GBF). The constructed circulant Hadamard matric…

Exact bounds for efficient consistent matrices obtained from a reciprocal matrix
Susana Furtado, Charles Johnson
https://arxiv.org/abs/2510.12358 https://a…

Exact bounds for efficient consistent matrices obtained from a reciprocal matrix
For a given reciprocal matrix A, we give a union of matrix intervals in which any consistent matrix obtained from an efficient vector for A lies, and, conversely, any consistent matrix in this union comes from an efficient vector for A. The maximal sets of entries in the lower and upper bound matrices of each interval that are attainable by some consistent matrix in the interval are described. This allows us to understand which subsets of the alternatives lie above which other subsets in all ef…

Inside First Wap, a European-led phone tracking company in Indonesia that has exploited the SS7 telecom protocol to target politicians, journalists, and others (Mother Jones)
https://www.motherjones.com/politics/2025/

The surveillance empire that tracked world leaders, a Vatican enemy, and maybe you
Inside the hidden world of First Wap, whose untraceable tech has targeted politicians, journalists, celebrities, and activists around the globe.

goh
https://nos.nl/artikel/2575166-eu-ministers-nemen-geen-maatregelen-tegen-israel-houden-opties-op-tafel

https://worksonmymachine.ai/p/the-only-skill-that-matters-now

The Official Voice of the US Government Is Cruel, Gross, and Weird.
What Is That Doing to Us? 
Joking memes about imprisonment, deportation, and death by alligator are designed to radicalize and desensitize us
https://www.motherjones.com/politics/2025/

The official voice of the US government Is cruel, gross, and weird. What is that doing to us? 
Joking memes about imprisonment, deportation, and death by alligator are designed to radicalize and desensitize.

Strauchelnder Elektrofahrzeugmarkt: GM muss Milliardenbetrag abschreiben
Nach dem Auslaufen von Steueranreizen schreibt General Motors 1,6 Milliarden US-Dollar ab. Der Autobauer rechnet mit einer schwindenden Akzeptanz von E-Autos.

"As a collective of homeless and marginally housed mothers, Moms 4 Housing organizes to reclaim vacant property warehoused by investors. In 2020, another group of mothers began squatting in vacant foreclosed properties owned by Philadelphia’s Housing Authority (PHA)." ❤️‍🔥
https://rosalux.nyc/self-help-housing/

Convergence and asymptotic freeness of missing data matrices
Kartick Adhikari, Dev Ahir
https://arxiv.org/abs/2508.10610 https://arxiv.org/pdf/2508.10610…

Convergence and asymptotic freeness of missing data matrices
We consider a random matrix of the form $D_n \odot X_n$ (known as a variance profile matrix), where $\odot$ denotes the Hadamard product of the two matrices, $D_n$ is a deterministic matrix, and $X_n$ is a random matrix. We call $D_n\odot X_n$ as a missing data matrix of $X_n$ when the entries of $D_n$ are either $0$ or $1$. This framework is commonly used in various applied fields, such as biology, neuroscience, and network data analysis. We study the convergence and asymptotic freeness of mis…

Metric Topologies on Multiset Spaces as Topological Monoids and Their Group Completion
Donghan Kim
https://arxiv.org/abs/2510.10080 https://arxiv.org/pdf/2…

Metric Topologies on Multiset Spaces as Topological Monoids and Their Group Completion
We construct a multiset space $\mathbb{N}[X]$ over a metric space $X$ that simultaneously enjoys desirable topological properties and admits a natural matching metric $d_{\mathbb{N}[X]}$, making it a metrizable abelian topological monoid whose structure is compatible with the original metric on $X$. This framework extends naturally to the free abelian group $\mathbb{Z}[X]$, where a metric $d_{\mathbb{Z}[X]}$ induces a metrizable abelian topological group structure. We further identify the metri…