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Strictly weak consensus in the uniform compass model on $mathbb{Z}$

Nina Gantert, Markus Heydenreich, Timo Hirscher.

Source: Bernoulli, Volume 26, Number 2, 1269--1293.

Abstract:
We investigate a model for opinion dynamics, where individuals (modeled by vertices of a graph) hold certain abstract opinions. As time progresses, neighboring individuals interact with each other, and this interaction results in a realignment of opinions closer towards each other. This mechanism triggers formation of consensus among the individuals. Our main focus is on strong consensus (i.e., global agreement of all individuals) versus weak consensus (i.e., local agreement among neighbors). By extending a known model to a more general opinion space, which lacks a “central” opinion acting as a contraction point, we provide an example of an opinion formation process on the one-dimensional lattice $mathbb{Z}$ with weak consensus but no strong consensus.




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As States’ Budgets Reel During COVID-19, Districts to Feel the Wrath

State funding for K-12 is likely to fall sharply, though districts could look to protect essentials like distance-learning support and professional development, says school finance expert Mike Griffith.

The post As States’ Budgets Reel During COVID-19, Districts to Feel the Wrath appeared first on Market Brief.




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Item 01: Notebooks (2) containing hand written copies of 123 letters from Major William Alan Audsley to his parents, ca. 1916-ca. 1919, transcribed by his father. Also includes original letters (2) written by Major Audsley.




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The McMichaels can't be charged with a hate crime by the state in the shooting death of Ahmaud Arbery because the law doesn't exist in Georgia

Georgia is one of four states that doesn't have a hate crime law. Arbery's killing has reignited calls for legislation.





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Neighbor of father and son arrested in Ahmaud Arbery killing is also under investigation

The ongoing investigation of the fatal shooting in Brunswick, Georgia, will also look at a neighbor of suspects Gregory and Travis McMichael who recorded video of the incident, authorities said.





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[Silhouette of a pregant woman smoking with death skull inside womb, 29 January 1994] / design: Biman Mullick.

London, [29 January 1994]




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Forget Black Booties, Amal Clooney and J.Lo Are Wearing This Weather-Resistant Boot Trend Instead

And it’s on sale at Nordstrom.




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Mice Deficient in Cellular Glutathione Peroxidase Show Increased Vulnerability to Malonate, 3-Nitropropionic Acid, and 1-Methyl-4-Phenyl-1,2,5,6-Tetrahydropyridine

Peter Klivenyi
Jan 1, 2000; 20:1-7
Cellular




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Mike Leigh cancels Israel visit to protest loyalty oath




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Roger Ebert: Why I Loathe Top 10 Films




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Noncoding Microdeletion in Mouse Hgf Disrupts Neural Crest Migration into the Stria Vascularis, Reduces the Endocochlear Potential, and Suggests the Neuropathology for Human Nonsyndromic Deafness DFNB39

Hepatocyte growth factor (HGF) is a multifunctional protein that signals through the MET receptor. HGF stimulates cell proliferation, cell dispersion, neuronal survival, and wound healing. In the inner ear, levels of HGF must be fine-tuned for normal hearing. In mice, a deficiency of HGF expression limited to the auditory system, or an overexpression of HGF, causes neurosensory deafness. In humans, noncoding variants in HGF are associated with nonsyndromic deafness DFNB39. However, the mechanism by which these noncoding variants causes deafness was unknown. Here, we reveal the cause of this deafness using a mouse model engineered with a noncoding intronic 10 bp deletion (del10) in Hgf. Male and female mice homozygous for del10 exhibit moderate-to-profound hearing loss at 4 weeks of age as measured by tone burst auditory brainstem responses. The wild type (WT) 80 mV endocochlear potential was significantly reduced in homozygous del10 mice compared with WT littermates. In normal cochlea, endocochlear potentials are dependent on ion homeostasis mediated by the stria vascularis (SV). Previous studies showed that developmental incorporation of neural crest cells into the SV depends on signaling from HGF/MET. We show by immunohistochemistry that, in del10 homozygotes, neural crest cells fail to infiltrate the developing SV intermediate layer. Phenotyping and RNAseq analyses reveal no other significant abnormalities in other tissues. We conclude that, in the inner ear, the noncoding del10 mutation in Hgf leads to developmental defects of the SV and consequently dysfunctional ion homeostasis and a reduction in the EP, recapitulating human DFNB39 nonsyndromic deafness.

SIGNIFICANCE STATEMENT Hereditary deafness is a common, clinically and genetically heterogeneous neurosensory disorder. Previously, we reported that human deafness DFNB39 is associated with noncoding variants in the 3'UTR of a short isoform of HGF encoding hepatocyte growth factor. For normal hearing, HGF levels must be fine-tuned as an excess or deficiency of HGF cause deafness in mouse. Using a Hgf mutant mouse with a small 10 bp deletion recapitulating a human DFNB39 noncoding variant, we demonstrate that neural crest cells fail to migrate into the stria vascularis intermediate layer, resulting in a significantly reduced endocochlear potential, the driving force for sound transduction by inner ear hair cells. HGF-associated deafness is a neurocristopathy but, unlike many other neurocristopathies, it is not syndromic.




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Selective Disruption of Inhibitory Synapses Leading to Neuronal Hyperexcitability at an Early Stage of Tau Pathogenesis in a Mouse Model

Synaptic dysfunction provoking dysregulated cortical neural circuits is currently hypothesized as a key pathophysiological process underlying clinical manifestations in Alzheimer's disease and related neurodegenerative tauopathies. Here, we conducted PET along with postmortem assays to investigate time course changes of excitatory and inhibitory synaptic constituents in an rTg4510 mouse model of tauopathy, which develops tau pathologies leading to noticeable brain atrophy at 5-6 months of age. Both male and female mice were analyzed in this study. We observed that radiosignals derived from [11C]flumazenil, a tracer for benzodiazepine receptor, in rTg4510 mice were significantly lower than the levels in nontransgenic littermates at 2-3 months of age. In contrast, retentions of (E)-[11C]ABP688, a tracer for mGluR5, were unaltered relative to controls at 2 months of age but then gradually declined with aging in parallel with progressive brain atrophy. Biochemical and immunohistochemical assessment of postmortem brain tissues demonstrated that inhibitory, but not excitatory, synaptic constituents selectively diminished without overt loss of somas of GABAergic interneurons in the neocortex and hippocampus of rTg4510 mice at 2 months of age, which was concurrent with enhanced immunoreactivity of cFos, a well-characterized immediate early gene, suggesting that impaired inhibitory neurotransmission may cause hyperexcitability of cortical circuits. Our findings indicate that tau-induced disruption of the inhibitory synapse may be a critical trigger of progressive neurodegeneration, resulting in massive neuronal loss, and PET assessments of inhibitory versus excitatory synapses potentially offer in vivo indices for hyperexcitability and excitotoxicity early in the etiologic pathway of neurodegenerative tauopathies.

SIGNIFICANCE STATEMENT In this study, we examined the in vivo status of excitatory and inhibitory synapses in the brain of the rTg4510 tauopathy mouse model by PET imaging with (E)-[11C]ABP688 and [11C]flumazenil, respectively. We identified inhibitory synapse as being significantly dysregulated before brain atrophy at 2 months of age, while excitatory synapse stayed relatively intact at this stage. In line with this observation, postmortem assessment of brain tissues demonstrated selective attenuation of inhibitory synaptic constituents accompanied by the upregulation of cFos before the formation of tau pathology in the forebrain at young ages. Our findings indicate that selective degeneration of inhibitory synapse with hyperexcitability in the cortical circuit constitutes the critical early pathophysiology of tauopathy.




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An Amygdalo-Parabrachial Pathway Regulates Pain Perception and Chronic Pain

The parabrachial (PB) complex mediates both ascending nociceptive signaling and descending pain modulatory information in the affective/emotional pain pathway. We have recently reported that chronic pain is associated with amplified activity of PB neurons in a rat model of neuropathic pain. Here we demonstrate that similar activity amplification occurs in mice, and that this is related to suppressed inhibition to lateral parabrachial (LPB) neurons from the CeA in animals of either sex. Animals with pain after chronic constriction injury of the infraorbital nerve (CCI-Pain) displayed higher spontaneous and evoked activity in PB neurons, and a dramatic increase in after-discharges, responses that far outlast the stimulus, compared with controls. LPB neurons in CCI-Pain animals showed a reduction in inhibitory, GABAergic inputs. We show that, in both rats and mice, LPB contains few GABAergic neurons, and that most of its GABAergic inputs arise from CeA. These CeA GABA neurons express dynorphin, somatostatin, and/or corticotropin releasing hormone. We find that the efficacy of this CeA-LPB pathway is suppressed in chronic pain. Further, optogenetically stimulating this pathway suppresses acute pain, and inhibiting it, in naive animals, evokes pain behaviors. These findings demonstrate that the CeA-LPB pathway is critically involved in pain regulation, and in the pathogenesis of chronic pain.

SIGNIFICANCE STATEMENT We describe a novel pathway, consisting of inhibition by dynorphin, somatostatin, and corticotropin-releasing hormone-expressing neurons in the CeA that project to the parabrachial nucleus. We show that this pathway regulates the activity of pain-related neurons in parabrachial nucleus, and that, in chronic pain, this inhibitory pathway is suppressed, and that this suppression is causally related to pain perception. We propose that this amygdalo-parabrachial pathway is a key regulator of both chronic and acute pain, and a novel target for pain relief.




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Treatment with Mesenchymal-Derived Extracellular Vesicles Reduces Injury-Related Pathology in Pyramidal Neurons of Monkey Perilesional Ventral Premotor Cortex

Functional recovery after cortical injury, such as stroke, is associated with neural circuit reorganization, but the underlying mechanisms and efficacy of therapeutic interventions promoting neural plasticity in primates are not well understood. Bone marrow mesenchymal stem cell-derived extracellular vesicles (MSC-EVs), which mediate cell-to-cell inflammatory and trophic signaling, are thought be viable therapeutic targets. We recently showed, in aged female rhesus monkeys, that systemic administration of MSC-EVs enhances recovery of function after injury of the primary motor cortex, likely through enhancing plasticity in perilesional motor and premotor cortices. Here, using in vitro whole-cell patch-clamp recording and intracellular filling in acute slices of ventral premotor cortex (vPMC) from rhesus monkeys (Macaca mulatta) of either sex, we demonstrate that MSC-EVs reduce injury-related physiological and morphologic changes in perilesional layer 3 pyramidal neurons. At 14-16 weeks after injury, vPMC neurons from both vehicle- and EV-treated lesioned monkeys exhibited significant hyperexcitability and predominance of inhibitory synaptic currents, compared with neurons from nonlesioned control brains. However, compared with vehicle-treated monkeys, neurons from EV-treated monkeys showed lower firing rates, greater spike frequency adaptation, and excitatory:inhibitory ratio. Further, EV treatment was associated with greater apical dendritic branching complexity, spine density, and inhibition, indicative of enhanced dendritic plasticity and filtering of signals integrated at the soma. Importantly, the degree of EV-mediated reduction of injury-related pathology in vPMC was significantly correlated with measures of behavioral recovery. These data show that EV treatment dampens injury-related hyperexcitability and restores excitatory:inhibitory balance in vPMC, thereby normalizing activity within cortical networks for motor function.

SIGNIFICANCE STATEMENT Neuronal plasticity can facilitate recovery of function after cortical injury, but the underlying mechanisms and efficacy of therapeutic interventions promoting this plasticity in primates are not well understood. Our recent work has shown that intravenous infusions of mesenchymal-derived extracellular vesicles (EVs) that are involved in cell-to-cell inflammatory and trophic signaling can enhance recovery of motor function after injury in monkey primary motor cortex. This study shows that this EV-mediated enhancement of recovery is associated with amelioration of injury-related hyperexcitability and restoration of excitatory-inhibitory balance in perilesional ventral premotor cortex. These findings demonstrate the efficacy of mesenchymal EVs as a therapeutic to reduce injury-related pathologic changes in the physiology and structure of premotor pyramidal neurons and support recovery of function.




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Emotional Stress Induces Structural Plasticity in Bergmann Glial Cells via an AC5-CPEB3-GluA1 Pathway

Stress alters brain function by modifying the structure and function of neurons and astrocytes. The fine processes of astrocytes are critical for the clearance of neurotransmitters during synaptic transmission. Thus, experience-dependent remodeling of glial processes is anticipated to alter the output of neural circuits. However, the molecular mechanisms that underlie glial structural plasticity are not known. Here we show that a single exposure of male and female mice to an acute stress produced a long-lasting retraction of the lateral processes of cerebellar Bergmann glial cells. These cells express the GluA1 subunit of AMPA-type glutamate receptors, and GluA1 knockdown is known to shorten the length of glial processes. We found that stress reduced the level of GluA1 protein and AMPA receptor-mediated currents in Bergmann glial cells, and these effects were absent in mice devoid of CPEB3, a protein that binds to GluA1 mRNA and regulates GluA1 protein synthesis. Administration of a β-adrenergic receptor blocker attenuated the reduction in GluA1, and deletion of adenylate cyclase 5 prevented GluA1 suppression. Therefore, stress suppresses GluA1 protein synthesis via an adrenergic/adenylyl cyclase/CPEB3 pathway, and reduces the length of astrocyte lateral processes. Our results identify a novel mechanism for GluA1 subunit plasticity in non-neuronal cells and suggest a previously unappreciated role for AMPA receptors in stress-induced astrocytic remodeling.

SIGNIFICANCE STATEMENT Astrocytes play important roles in synaptic transmission by extending fine processes around synapses. In this study, we showed that a single exposure to an acute stress triggered a retraction of lateral/fine processes in mouse cerebellar astrocytes. These astrocytes express GluA1, a glutamate receptor subunit known to lengthen astrocyte processes. We showed that astrocytic structural changes are associated with a reduction of GluA1 protein levels. This requires activation of β-adrenergic receptors and is triggered by noradrenaline released during stress. We identified adenylyl cyclase 5, an enzyme that elevates cAMP levels, as a downstream effector and found that lowering GluA1 levels depends on CPEB3 proteins that bind to GluA1 mRNA. Therefore, stress regulates GluA1 protein synthesis via an adrenergic/adenylyl cyclase/CPEB3 pathway in astrocytes and remodels their fine processes.




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MECP2 Duplication Causes Aberrant GABA Pathways, Circuits and Behaviors in Transgenic Monkeys: Neural Mappings to Patients with Autism

MECP2 gain-of-function and loss-of-function in genetically engineered monkeys recapitulates typical phenotypes in patients with autism, yet where MECP2 mutation affects the monkey brain and whether/how it relates to autism pathology remain unknown. Here we report a combination of gene–circuit–behavior analyses including MECP2 coexpression network, locomotive and cognitive behaviors, and EEG and fMRI findings in 5 MECP2 overexpressed monkeys (Macaca fascicularis; 3 females) and 20 wild-type monkeys (Macaca fascicularis; 11 females). Whole-genome expression analysis revealed MECP2 coexpressed genes significantly enriched in GABA-related signaling pathways, whereby reduced β-synchronization within fronto-parieto-occipital networks was associated with abnormal locomotive behaviors. Meanwhile, MECP2-induced hyperconnectivity in prefrontal and cingulate networks accounted for regressive deficits in reversal learning tasks. Furthermore, we stratified a cohort of 49 patients with autism and 72 healthy controls of 1112 subjects using functional connectivity patterns, and identified dysconnectivity profiles similar to those in monkeys. By establishing a circuit-based construct link between genetically defined models and stratified patients, these results pave new avenues to deconstruct clinical heterogeneity and advance accurate diagnosis in psychiatric disorders.

SIGNIFICANCE STATEMENT Autism spectrum disorder (ASD) is a complex disorder with co-occurring symptoms caused by multiple genetic variations and brain circuit abnormalities. To dissect the gene–circuit–behavior causal chain underlying ASD, animal models are established by manipulating causative genes such as MECP2. However, it is unknown whether such models have captured any circuit-level pathology in ASD patients, as demonstrated by human brain imaging studies. Here, we use transgenic macaques to examine the causal effect of MECP2 overexpression on gene coexpression, brain circuits, and behaviors. For the first time, we demonstrate that the circuit abnormalities linked to MECP2 and autism-like traits in the monkeys can be mapped to a homogeneous ASD subgroup, thereby offering a new strategy to deconstruct clinical heterogeneity in ASD.




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Marathoner Sets Out to Run All of America's National Parks

Autumn Ray's goal: 59 national parks before she turns 40 in four years




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This Fading Star Wasn't on the Brink of Death After All—It Was Just Dusty

After four months of unexpected dimming, the red supergiant star has perked back up, and astronomers may have a new explanation for the fluke




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New Analysis Refutes Nazareth Inscription's Ties to Jesus' Death

The marble slab appears to be Greek in origin and may have been written in response to the death of a tyrant on the island of Kos




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5.4-Magnitude Earthquake Damages Zagreb Cathedral, Museums

The tremors, which arrived in the midst of the COVID-19 pandemic, was the worst the Croatian capital has seen in 140 years




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How COVID-19 Interferes With Weather Forecasts and Climate Research

'The break in the scientific record is probably unprecedented,' one ecologist says




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England to Debut World's Longest Coastal Path by Middle of Next Year

The nearly 2,800-mile-long walking route runs all the way around the English coast




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COVID-19 Restrictions May Boost Leatherback Sea Turtle Nesting

Beaches in Florida and Thailand have tentatively reported increases in nests, due to decreased human presence. But the trend won’t necessarily persist




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Archivists Find the Oldest Record of Human Death by Meteorite

The 1888 historical account is likely the first ever confirmed case of a human being struck dead by an interstellar interloper




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Naked Mole-Rats Bathe Their Bodies in Carbon Dioxide to Prevent Seizures

Expelled by animals as a waste product, the gas appears to play a crucial role in keeping these bizarre, burrowing rodents safe




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Bronze Age Chieftain's Remains Found Beneath U.K. Skate Park

The Beaker man was buried alongside four cowhide "rugs," an eight-inch copper dagger and a wrist guard made of rare green stone




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Forgotten Tunnel Found Beneath Danish Train Station

Wood used to build the secret passageway came from a tree felled in 1874, according to a new analysis




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Wrath of the Titans




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National Zoo Mourns Death of Asian Elephant

The 72-year-old animal was the third oldest in the North American population




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RCMP charge Yellowknife man with murder in connection to death of Breanna Menacho

Yellowknife RCMP confirmed the death of the missing 22-year-old woman on Friday and charged 27-year-old Devon Larabie in connection with her death.



  • News/Canada/North

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COVID-19 related death linked to institutional outbreak, health unit says

The Porcupine Health Unit is reporting the fifth COVID-19 related death in its area.



  • News/Canada/Sudbury

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Designing Floating Buildings With an Eye to the Marine Species Living Underneath

A prototype deployed in San Francisco Bay imagines the underside of a floating building as an upside-down artificial reef




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Innovation in a crisis Q&A series: UCL-Ventura breathing aid (CPAP)




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1 more death, 3 new cases of COVID-19 in Nova Scotia

The latest death was at the Northwood long-term care home in Halifax.



  • News/Canada/Nova Scotia

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New projections find deconfinement in Montreal could lead to sharp increase in deaths

The current deconfinement plan in the Montreal area could lead to a rapid increase in deaths in the city, according to findings by Quebec's public health institute. 



  • News/Canada/Montreal

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Former Athletics pitching star, executive Matt Keough dies at 64

Matt Keough, the former Oakland Athletics pitcher and special assistant, has died. He was 64. He was an American League all-star as a rookie in 1978 and two years later comeback player of the year.



  • Sports/Baseball/MLB

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Winnipeg police officers not at fault for death of man after arrest, IIU finds

Winnipeg police officers who arrested a man who then went into medical distress and later died were not at fault, an investigation by Manitoba's police watchdog has found.



  • News/Canada/Manitoba

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Quebec's Karim Mané aims to carve new path straight from Vanier College to the NBA

The 19-year-old has declared for the 2020 NBA Draft. If selected he would become the first player out of CEGEP program in Quebec to make the leap directly to the world's top basketball league.



  • News/Canada/Montreal

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Ennis, Pangos among Canadian basketball players weathering pandemic abroad

Canadian basketball players Dylan Ennis and Kevin Pangos, who both play in Liga ACB, opted to stay and weather the COVID-19 pandemic in Spain.




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Funeral for COVID-19 victim in La Loche, Sask., sparks concern about public gatherings

"This video footage clearly shows why La Loche Saskatchewan won't be opening up so soon," says Rita Briggs.



  • News/Canada/Saskatoon

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3 new deaths from COVID-19 reported in Waterloo region

Ten new cases of COVID-19 reported as of Friday morning, bringing the total of cases to 897. Three more people in Waterloo region have also died from COVID-19.



  • News/Canada/Kitchener-Waterloo

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April 18 FX Commentary: Kathy Lien

Kathy Lien, BK Asset Management




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May 02 FX Commentary: Kathy Lien

Kathy Lien, BK Asset Management




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B.C. confirms 1 additional death, 29 new cases of COVID-19

Provincial health officers say they have confirmed 29 new cases of the virus and one additional death from COVID-19 in the last 24 hours.



  • News/Canada/British Columbia

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Two Deaths and My Life

The memento mori of two friends.




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Victory over death in a cemetery - Zimbabwe

An OM team has a rare opportunity to share the Gospel with the Doma people at the funeral of a senior member of the community.




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Family of Toronto PSW who died of COVID-19 says his death was due to lack of PPE at his workplace

Leonard Rodriquez's grieving loved ones say he was a man who would drop everything to help those in need. But they say his death could have been prevented if he'd had the personal protective gear he needed to do his job.



  • News/Canada/Toronto

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Snowbirds scrap Saturday flyover in southern Ontario due to weather

Poor visibility from winter-like weather has put a halt on the Snowbirds aerobatics team's plans to fly over southern Ontario on Saturday.



  • News/Canada/Toronto

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Arrests made in shooting death of black man in Georgia after outcry

Late Thursday, Georgia father and son Gregory McMichael and Travis McMichael were arrested in connection with the death of Ahmaud Arbery, a 25-year-old black man.




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One more COVID-19 death in Alberta, 81 new cases

Alberta recorded one more death to COVID-19 and 81 new cases, Chief Medical Officer of Health Dr. Deena Hinshaw said Friday.



  • News/Canada/Edmonton