We show, by an explicit construction, that a mixture of univariate Gaussians with variance 1 and means in $[-A,A]$ can have $Omega(A^2)$ modes. This disproves a recent conjecture of Dytso, Yagli, Poor and Shamai [IEEE Trans. Inform. Theory, Apr. 2020], who showed that such a mixture can have at most $O(A^2)$ modes and surmised that the upper bound could be improved to $O(A)$. Our result holds even if an additional variance constraint is imposed on the mixing distribution. Extending the result to higher dimensions, we exhibit a mixture of Gaussians in $mathbb{R}^d$, with identity covariances and means inside $[-A,A]^d$, that has $Omega(A^{2d})$ modes.

Thomson (Family)

For millions of Americans, working at home isn't an option. NBC News identified seven occupations in which employees are at especially high risk of COVID-19.

Fox News contributor Jason Chaffetz and Andy McCarthy react to House Intelligence transcripts on Russia probe.

The infections and deaths are spread across roughly two farms and 189 meat and processed food factories.

All over the world local varieties of fruit, vegetables and grain are grown. Many are seemingly forgotten or are underutilized despite having outstanding nutritional or taste qualities. Some have good commercial potential and could be an excellent cash crop for a smallscale or family farmers, aimed at the local, regional or international market. Here are six traditional crops and six facts [...]

In the year 2000, the UN Member States set the eight Millennium Development Goals. One of the most ambitious was to eradicate extreme poverty and hunger. As part of this goal, the United Nations General Assembly set a target to halve the proportion of people who suffer from hunger by 2015.  But have you ever wondered how hunger is measured in [...]

Feeding the world’s growing population, which is expected to go beyond 9 billion by 2050, is one of the world’s biggest challenges. Some of the highest rates of population growth are predicted to occur in areas that are highly dependent on the agriculture sector (i.e. crops, livestock, forests and fisheries). Sustainable agricultural growth is one of the most effective means [...]

Pulses have been consumed for at least 10 000 years and are among the most extensively used foods in the world. They provide protein and fibre, and are a great source of vitamins and minerals, such as iron, zinc and magnesium. You probably already eat more pulses than you realize but can you put your finger on these facts on pulses? [...]

FAO plays an important and unique role as a neutral forum, offering unbiased, high-quality information across all areas related to food, agriculture and sustainable natural resources management. With over 500 new publications a year, FAO provides robust technical knowledge and global statistics. By broadly disseminating timely, accurate and compelling information, FAO informs the work of practitioners, researchers and policy-makers, while raising [...]

Where would you find the world’s largest recreation center and the most natural supermarket? Forests wouldn’t have been your first answer, would it? That’s the thing about forests. They keep secrets.

A new simulation points to a previously untold chapter in Titan’s history

The cats also cross the road an average of 4.5 times in six days, putting themselves in danger

A new theory suggests the hot, harsh planet’s interior could have contained volatiles like water

The impact that created Pluto’s 'heart' may have rippled through its ocean and damaged its rear

Mary Pearson, who was briefly engaged to the writer's brother, may be the real-life counterpart of Lydia Bennet from "Pride and Prejudice"

A new analysis of ancient ostrich eggs at the British Museum underscores the interconnectedness of the ancient world

From shy to bold with shades in between, dolphin personalities are surprisingly similar to ours

The project hasn’t yet been greenlit, but a proposal just got major funding to explore the potential for the lunar observatory

Study suggests alleged exoplanet may have been a cloud of asteroid debris

The projects are helping Australia's drought-stricken rural towns find new life as outdoor art galleries

The National Trust for Historic Preservation is looking for 1,000 places tied to women's history, and to share the stories of the figures behind them

As spring begins, the surviving bees in the hive pick up their first task of the new year: dumping the corpses of the bees that died over winter.

Fire scientist say that Saskatchewan say Canadian Forest Service is updating their interactive maps every month from May to September this year so people can check the fire map in their region. Saskatchewan is one of the highest chances of fire this year.

"So there are days when I feel down and out, but I remember the gratitude bit in the back of my head (sic)."

Have to learn to live with Covid-19: Govt  Times of IndiaHealth ministry says learn to live with coronavirus as India's COVID-19 count crosses 56,000  LivemintPeople must learn to live with the virus, follow prevention guidelines: G...

OM partner finds young men on the street and offers them jobs and a place to study the Bible.

Located on Huron Church Road, the lab was one of 12 such facilities run by the Ontario government, and processed tests for diseases like tuberculosis and West Nile virus. But it was demolished to make way for the Herb Gray Parkway.

Justin Young and Justine Manuel in Kamloops, B.C., shaved off their eyebrows as extra incentive to stay home and avoid socializing.

Mary Ellen Dalgleish, a poultry expert at Purity Feeds in Kamloops, B.C., believes the increased interest in backyard chickens follows concerns about food security when consumers saw grocery store shelves cleared out early in the COVID-19 pandemic in B.C.

Flattening the curve has been so successful and two areas around Hamilton — Brant and Haldimand-Norfolk — haven't had a new case of COVID-19 in three days, and Burlington has only had two.

The province says no one has to tell others if they get COVID-19. The same goes for businesses or landlords, should employees or tenants get sick. But should you tell?

Hamilton Conservation Authority is re-opening the Hamilton-to-Branford Rail Trail, while the city announced the reopening of the Hamilton Waterfront Trail, between Confederation Park and the Burlington Lift Bridge.

A short-term team help OMers in Montenegro spread God's love by hosting a tea party for forgotten residents of a care home.

The smiles of children are a great motivation to keep on working for the team members of OM Guatemala.

The people of Chisopi never imagined a school would be established in their village. Today, their children are receiving an education.

OM Ireland's biggest outreach of the year teaches participants to commit their ways to Him and trust Him to act.

“The climb has taken me far beyond the mountain,” says Canadian Freedom Climber Denise Heppner, who knows that helping even one person makes a difference.

No challenge is too big for God: “His provision gave me goose bumps,” shared Audrey, from Switzerland, about her journey to OM Panama’s Mission Extreme.

"I'M hungry."

OM EAST responds to the need for Christian books in the Georgian language.

Thirteen participants in a weeklong outreach recently interacted with refugees, supporting OM’s refugee work in Linz.

“It is wonderful and we are very grateful to God that we can live here,” Javid said. “Finally we have found a place where we can live our faith in Jesus in peace."

MAY is normally a busy month behind the scenes for Gareth Chalmers and the ongoing uncertainty around sport hasn’t changed that a huge amount.

Berlin’s airports are recording a drastic slump in passenger numbers. In March, a decline in passengers of 64.7 percent was recorded at Tegel and Schönefeld for the whole month. However, the number of passengers has continued to fall significantly over ...

The ingenuity of Scotland’s independent food sector, and its determination to keep feeding us in these testing circumstances, is remarkable. Restaurants and cafés have gone down the takeaway route, small artisan suppliers who lost overnight all their catering customers have rapidly reconfigured their business around home delivery. Farmers who previously struggled to attract supermarket shoppers have never been so busy. Farmer’s markets have adapted to sell delivered or collected vegetable b