In a shocking turn of events, it turns out Lewis Carroll wasn't just about rabbits and tea parties—he was actually crunching #determinants like a Victorian spreadsheet wizard. 🤔🔢 Apparently, when not busy writing about mad hatters, he was busy inventing math tricks that no one asked for! 🐇✍️
https://www.johndcook.com/blog/2023/07/10/lewis-carroll-determinants/ #LewisCarroll #MathGenius #VictorianEra #MathTricks #UnexpectedConnections #HackerNews #ngated
#determinants
Lewis Carroll Computed Determinants
https://www.johndcook.com/blog/2023/07/10/lewis-carroll-determinants/
#HackerNews #LewisCarroll #Determinants #Math #History #Computation #HackerNews
OnlineFirst - "An empirically grounded conceptual framework of the determinants of economic resilience: Insights from seven major Canadian regions" by Jesse Sutton and Godwin Arku:
#determinants #resilience #regions #Canada
https://journals.sagepub.com/doi/full/10.1177/0308518X251391204
Determinants and causal effects of admission to selective private colleges [pdf]
https://www.nber.org/system/files/working_papers/w31492/w31492.pdf
#HackerNews #Determinants #causal #effects #selective #private #colleges #education #research
Molecular and ecological #determinants of #mammalian #adaptability in avian #influenza virus, https://etidiohnew.blogspot.com/2025/04/molecular-and-ecological-determinants.html
Different #genetic #determinants for high #virulence, #transmission and #replication of high pathogenicity #H7N7 avian #influenza virus in #turkeys and #chickens, https://etidiohnew.blogspot.com/2025/03/different-genetic-determinants-for-high.html
Polygenic #Determinants of #H5N1 #Adaptation to Bovine Cells
Source: BioRxIV, AbstractH5N1 avian influenza virus (lineage 2.3.4.4b, B3.13 genotype) has caused, unexpectedly, a large outbreak in dairy cattle in North America. It is critical to ascertain how this virus has specifically adapted to bovine cells and the molecular determinants of this process. Here, we focused on the contribution of the viral internal genomic segments of H5N1 B3.13 to bovine cells adaptation.
https://etidioh.wordpress.com/2024/12/03/polygenic-determinants-of-h5n1-adaptation-to-bovine-cells/
Comparative Characterization of #Bronchial and #Nasal #Mucus Reveals Key #Determinants of #Influenza A Virus #Inhibition http://biorxiv.org/cgi/content/short/2024.09.17.613498v1?rss=1
The ability of mucus to neutralize influenza A virus varies with the anatomical origin of the #airway cultures and correlates with the abundance of #triglycerides and sialylated #glycoproteins and #glycolipids.
For all Transf ∈ ℝn×n, the matrix is invertible if and only if rank(Transf) = n
The #determinant exists if and only if the transformation matrix is square.
The determinant in a linear transformation is the (signed) area of the image of the fundamental basis formed by the unit square.
#algebra #matrices #tutorial #determinants #singularity #math #maths #mathematics #mathStodon #ML #machineLearning #systems
#Algebra thread 🧵
Which #matrices have an inverse?
Singular matrices never have an inverse.
When we look at the determinant, the determinant is non-zero for invertible matrices in the same way that non-zero numbers have an inverse.
Non-zero determinants mean that the matrices has an inverse, and a zero determinant means that the system (of sentences, of graphs) is singular.
#tutorial #learning #determinants #singularity #math #maths #mathematics #mathStodon #ML #machineLearning #systems
Data returned by an observation typically is represented as a vector in machine learning.
A neural network can be seen as a large collection of linear models. We may represent the inputs and outputs of each layer as vectors, matrices, and tensors (which are like higher dimensional matrices).
#algebra #linearAlgebra #vectors #matrices #determinants #singularity #ML #DataScience #math #maths #mathematics #mathStodon #ML #data #dataDon #dataScience #machineLearning #DeepLearning #neuralNetworks
Linear algebra (continued)
Which of the below operations, when applied to the rows of a matrix, keeps the #singularity (or non-singularity) of the matrix?:
(Hint: It works the same as a system of linear equations.)
#learning #algebra #systems #matrices #determinants #singularity #data #ML #DataScience #math #maths #mathematics #mathStodon #tutorial #poll #exercise #exercice #puzzle #calculus
A system (of sentences, of equations, of graphs) is said "complete" if it has one and only one solution.
A system is deemed "singular" if it does not have one and only one solution.
A convenient way to show singularity is to:
* define a "determinant" as the product of the leading diagonal minus the product of the antidiagonal and
* calculate that it is zero.
#learning #algebra #systems #matrices #determinants #singularity #data #ML #DataScience #math #maths #mathematics #tutorial
Structural #determinants of #spike #infectivity in #bat #SARS-like #coronaviruses RsSHC014 and WIV1, J Virol.: https://journals.asm.org/doi/full/10.1128/jvi.00342-24?af=R
Through #mutagenesis and cryo-EM analysis, we revealed that besides the structural variations, the 623 site in the SD2 region is another important structural determinant of spike infectivity.
new #dataset in #DataSuds. Telfils, Rodeline et al. 2024, "Étude des #déterminants individuels du #paludisme asymptomatique dans la zone sanitaire au sud #Bénin (2019-2024)", #africa #palusdism https://doi.org/10.23708/CSLSFR #openscience
At #ECO2023, we're hearing much interest in the #determinants of #obesity, including #commercial. But perhaps a presumption of more certainty than our evidence can support. Solution: pursue the science with genuine curiosity. #ECORME
https://conscienhealth.org/2023/05/eco2023-seeking-the-determinants-of-obesity/
Oui @quentelmarc merci pour le partage.
La #biodiversité en lien avec les #determinants de santé particulièrement physique et mentale
Anyone can prove that \[ Co(A)^t = Co(A^t) \] where Co(A) denotes the cofactor matrix of A, formed by the determinants of striking column and row of each element?
References: https://es.wikipedia.org/wiki/Matriz_de_adjuntos#Matrices_3_x₃ (spanish)
#linearalgebra #matrix #determinants
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