Journal List
ID1128
Title Journal Of Modern Mathematics Frontier (Jmmf)
E ISSN 2227-3751
P ISSN 2227-3743
Country USA
Impact Factor Awaiting
Publication year 2012
Publisher NameScience and Engineering Publishing Company
FrequencyQuarterly
Indexed Yes
Website http://www.sjmmf.org/AllIssues.aspx


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News

In this exclusive video, we explore how heat exposure influences mental state, drawing on research by Kim Meidebauers, a neuroscientist at Washington State University who studies the effect of heat on emotion and behavior.

Burning up: How can we adapt to a warming world?

As the planet warms, our environment will be transformed, but so will our bodies. This video is part of a series where we investigate the health impacts of climate change, focusing on heat, air quality, food and infection risk. We also evaluate the promising solutions that could help us adapt to our warmer future.

A collage of people dealing with extreme heat over a white background

Climate change will triple the number of days over 105 F in the US. The health impacts will be dire.

Extreme heat will become more common as the climate continues to warm. That will affect almost every facet of our health.

A collage of several images of people wearing masks with wildfire raging below them.

'Wildfire smoke is the fastest-growing environmental threat in the US': How a warming world will poison the air we breathe

Wildfires are projected to increase dramatically due to climate change. That could trigger a massive increase in heart attacks, premature births and early deaths, research reveals.

A collage of farming and people holding food.

'The apple you eat isn't the apple your granddaughter will eat': What's on the menu in a warming world?

Almost every aspect of our food system will be transformed by climate change.

'> 'That could push them over the edge': How climate change could fuel impulsive behavior The point where two different-colored lakes meet

Who took the photo? An unnamed astronaut on board the International Space Station

When was it taken? Sept. 15, 2020

This eye-catching astronaut photo shows the point where an ancient Patagonian lake has been split by a peculiar land bridge, creating two contrastingly colored bodies of water.

Lake Pueyrredón (on the left in the photo) is the Argentine half of a roughly 40-mile-long (65 kilometers) glacial lake, which stretches across the country's border with Chile in Patagonia — a region in South America that is well known for its diverse range of geographic features, including mountains, fjords, deserts and rainforests. The Chilean half of the lake is known as Lake Cochrane (not shown in this image). Both halves hold crystal-clear water that is up to 1,600 feet (500 meters) deep, giving Pueyrredón a deep blue hue when viewed from above.

Thousands of years ago, a thick sediment barrier formed across the southern section of Lake Pueyrredón, creating a new body of water known as Lake Posadas. This smaller body, which is roughly 5 miles (8 km) long, has a lighter, teal color due to its shallow water and a large influx of sediment from a nearby river, according to NASA's Earth Observatory.

Other rivers from nearby hills have previously dumped large quantities of sediment along the western shore of Lake Pueyrredón (bottom of the photo), creating a trio of fan-shaped landforms, known as deltas, that increase in size from north to south (left to right in the photo).

Wind-driven currents and waves have pushed some of this sediment from the outer edges of the two smaller deltas, creating long, thin strips of land, known as sandspits, pointing down-current.

A photo of the lakes and the land bridge that separates them, taken from ground level

This image, snapped from the banks of Lake Posadas, shows a close-up view of the rocky barrier that formed across Lake Pueyrredón thousands of years ago. (Image credit: Prisma Bildagentur/Universal Images Group via Getty Images)

The strip of land separating Pueyrredón and Posadas looks similar to the sandspits. However, it is most likely a moraine — a barrier of sediment and larger rocks that formed along the edge of a hefty iceberg or long-lost glacier, according to the Earth Observatory.

Eagle-eyed viewers may be able to spot a narrow airstrip on the smallest delta (running almost parallel with its sandspit). While the area is largely uninhabited, it is popular with tourists, who travel to the lakes to camp, hike, fish and kayak, according to a local travel site.

Lake Posadas is also home to a unique island with a massive rocky arch (see below) that is also popular with tourists.

A photo of a car wingmirror showing Lake Posadas and its famous rocky arch reflected in the mirror

This photo, captured in the side-view mirror of a tourist's car, shows the famous rocky arch in Lake Posadas. (Image credit: alextorrenegra via Wikimedia)

The two lakes in the astronaut photo sit within a large valley, which was carved by a massive ice sheet that once covered the area. The last remnants of this ice sheet are located in northern Patagonia, around 20 miles (30 km) west of Lake Cochrane, and have also been snapped from space by astronauts.

Patagonia is home to dozens of similar valleys and fjords that were carved out by the same massive ice slab. Around 210 miles (340 km) southwest of Pueyrredón and Posadas, a trio of ravines converge to create a rare configuration where a lake, river and glacier "touch" each other at a single point.

See more Earth from space

Satellite photo showing a lake bisecting the snowy edge of a gray ridged glacier

Mini lake meets massive glacier

A 2010 satellite photo shows the point where a small lake bisects the snowy rim of an ancient glacier on Canada's Baffin Island. The rippling, snow-rimmed structure is the last remaining fragment of a colossal ice sheet that once covered large parts of North America.

A satellite photo of multiple stripy glaciers merging into a single ice mass

Trio of 'battleground' glaciers merge

This 2023 astronaut photo shows three glaciers merging into a single massive ice mass in the Karakoram mountains. The stripy glaciers have gained ice in recent decades, despite the effects of human-caused climate change.

An astronaut photo of a section of a lake half covered in fracturing ice

World's highest frozen lake shatters

A 2024 astronaut photo shows the icy surface of Pangong Lake breaking apart in the lofty Tibetan Plateau. The point where the ice meets the water almost perfectly matches a disputed border between China and India.

'> Peculiar land bridge separates a pair of colorful lakes in Patagonia — Earth from space

Volcano deposits, known as ignimbrite, that were incised by the Lluta River in northern Chile. (Image credit: Frances J. Cooper)

The original slope of the volcanic flow from Lauca Caldera was about 1.5 degrees, Adams and his colleagues wrote in the new paper. The researchers also calculated the erosion of the landscape to figure out how fast the rocks in the area were rising as the oceanic Nazca Plate pushed under the continental crust of South America, which is how the Andes were built.

They found that prior to the eruption, the uplift of the crust was no more than 0.16 mile (0.26 kilometer) per million years — quite a sluggish process. This finding corresponds to earlier work that used the formation of certain minerals within rocks to determine when a particular rock rose through the crust and approached the surface.

"There is debate over whether the Andes grew slowly and steadily over 40 or 50 million years or whether they rose extremely slowly and then popped up more recently, in the last six to 10 million years," Adams said. "Our findings, which cover a large part of the middle of that history, support the slow but steady hypothesis."

The same method could be applied to other mountain ranges worldwide, the researchers added.

'> South American 'Pompeii': Volcanic eruption 22 million years ago preserved a snapshot of the Andes forming

The 3D model of the Los Angeles basin shows that downtown LA is underpinned by up to 6.2 miles (10 kilometers) of sediment, which will likely amplify shaking from any earthquake that hits the region. That's not entirely new information, but the underground map is more precise than ever before, and it should help earthquake scientists better understand which areas of the city are most vulnerable.

"With this improved model of the basin, we now know the shape of the edges of the basin in a lot more detail," Elizabeth Cochran, a U.S. Geological Survey seismologist who was not involved in the study, told Live Science.

That's important, Cochran said, because irregular edges can focus or direct earthquake waves. In the magnitude 6.7 Northridge earthquake in 1994, Santa Monica experienced more shaking damage than expected because of the way the seismic waves traveled along the basin edge, she added.

Los Angeles sits in a sedimentary basin, a low spot where layers of sediment have accumulated for at least 15 million years. At first, the basin was underwater, so the lowest layers of these sediments were oceanic sediments. Later, when tectonic forces brought the basin onto dry land, additional sediment accumulated from the mountains nearby.

Researchers knew the general shape of the basin, but not in great detail. "Previous surveys were just linear arrays that went through just one cross section on the LA Basin, but this was the first full three-dimensional map," said Valeria Villa, a doctoral student at Caltech and co-author of the new paper describing the map, published Aug. 4 in the journal JGR Solid Earth.

A 3D printed model of the LA Basin.

A 3D-printed model of the LA sedimentary basin. (Image credit: Valeria Villa/Caltech)

The data from the new map came from 273 temporary seismic stations deployed around LA. These stations detected faint earthquake waves from distant quakes that couldn't be felt by humans. The paths and timing of these waves as they traveled helped researchers build a 3D map of the rock layers below the surface.

The central part of the basin, under downtown LA, holds the deepest sediments, which could amplify shaking. The edges of the basin are thinner, with 0.6 to 2.5 miles (1 to 4 km) of sediment before the hard crystalline rock that serves as the basin's bottom.

On its own, the map doesn't tell geophysicists exactly where shaking might be the worst in the case of a big LA earthquake, but researchers can now update their models and simulations to test different scenarios, Villa told Live Science. The damage will ultimately depend on a lot of factors, such as which fault causes the quake. Los Angeles is surrounded by many faults, including the famous San Andreas, which could give off a magnitude 7.8 quake that would jolt Southern California.

One important factor in the amount of damage to buildings during such a quake is "resonance" ‪—‬ whether buildings shake in time with the sediments below them, Cochran said. When buildings and sediments are in resonance, the damage is worse. A better understanding of the sediment layers beneath downtown LA will help researchers ensure buildings are designed to avoid resonating with the shaking basin, she said.

"You can, for example, change the stiffness of your building and do other things to offset this effect," Cochran said. "What is important is that you know what the ground is like, and what the larger geologic structure is like, underneath the region where you are building the building to know that this could be an issue."

'> We now have an incredibly detailed map to help predict which areas of LA are the most at risk from 'The Big One'

This brass head depicts an "oba," or ruler of the Kingdom of Benin. (Image credit: Cleveland Museum of Art (Public Domain))
Quick facts

Name: Ancestral commemorative head

What it is: A copper-alloy sculpture of an African ruler's head

Where it is from: Edo, Nigeria

When it was made: Mid-1500s

In the Kingdom of Benin, one of the oldest monarchies in West Africa, a traditional ruler known as an oba would commission a brass or bronze bust of their predecessor upon taking the throne. The bust of the past oba would then be set on an ancestral altar in the palace. But when the British Empire annexed the Kingdom of Benin into colonial Nigeria in 1897, the British looted thousands of African artifacts spanning the kingdom's seven-century history, and the country of Nigeria has asked that they be returned.

This particular bust is in the collection of the Cleveland Museum of Art (CMA), which acquired it from prominent French art dealer Louis Carré, who sold many of the artifacts looted from Benin to Western museums in the 1930s. This head of an oba ancestor, also known as "uhunmwun-elao" in the Edo language spoken in the historic Kingdom of Benin, is roughly 1 foot (30 centimeters) tall and was made from a copper alloy, using a lost-wax casting process that would produce one unique bust, then-CMA curator William Milliken wrote in a 1937 study.

Initially, CMA experts thought the ancestral head represented a princess, due to the layers of coral necklaces around the oba's neck and the thin braids hanging from the individual's temples. But the coral necklaces and the lattice-pattern beaded caps were actually potent representations of a ruler's power. The top of the bust is partly open, and it would have supported an intricately carved elephant tusk that recorded the oba's accomplishments and major life events.

Many of the surviving ancestral commemorative heads were created in the 15th and 16th centuries by the Igun Eronmwon, a hereditary guild of brass and bronze artisans that made objects for royalty in the Kingdom of Benin. According to the CMA, Benin royalty prized brass because it does not corrode. Much of the African brass was imported from as far away as Germany.

When British forces invaded the Benin royal palace in 1897, they looted thousands of metal plaques, sculptures of humans and animal figures, and royal and personal ornaments that have come to be known as the Benin Bronzes, even though most of the objects are technically brass, an alloy of copper and zinc. The British Museum holds the world's largest collection of Benin brass artifacts — over 900 objects — which Nigeria formally requested be returned in 2021.

Some institutions have begun repatriating this historic royal art back to its homeland. A group of German museums that collectively held over 1,100 of these objects transferred ownership of them to Nigeria in 2022. That same year, the Smithsonian's National Museum of African Art transferred ownership of 29 Benin Bronzes to Nigeria. And, in 2025, the Netherlands returned 119 Benin Bronzes to Nigeria. To date, however, the British Museum has not officially returned any of the Benin Bronzes in its collection.

There is also controversy about who should have ownership of these artifacts. In 2025, the Museum of Fine Arts, Boston returned two Benin Bronzes to Oba Ewuare II, the great-great-grandson of the last oba before the 1897 British invasion. Oba Ewuare II is the Oba of Benin and custodian of Benin culture.

A full catalog of royal artifacts looted from Benin in the late 19th century can be found on the Digital Benin project website.

For more stunning archaeological discoveries, check out our Astonishing Artifacts archives.

a gold and garnet crown against an orange background

Kerch Crown

This crown depicts two birds of prey and was discovered in the grave of a fifth-century noblewoman in Crimea.

a carved portrait of a Maya queen with an orange background

Lady K'abel Stela

This monumental carving depicts a powerful Maya queen called Lady K'abel, who ruled an ancient city in Guatemala at the end of the seventh century.

a coil-built pot that tapers from the top and has stylized flames around the rim, against an orange background

Fire Flame Vessel

Archaeologists aren't sure why prehistoric people in Japan made these elaborate vessels decorated with flames.

Can you put together last week's Astonishing Artifact?

'> Ancestral commemorative head: A 500-year-old brass bust depicting an African king
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