princeton-nlp/datasets-for-simcse · Datasets at Hugging Face

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Essential countability (EC)
In that case, we say that K is a "Fraïssé class", and there is a unique (up to isomorphism), countable, homogeneous structure formula_3 whose age is exactly formula_1.
This structure is called the "Fraïssé limit" of formula_1.
Here, "homogeneous" means that any isomorphism "formula_53" between two finitely generated substructures formula_31 can be extended to an automorphism of the whole structure.
The archetypal example is the class formula_55 of all finite linear orderings, for which the Fraïssé limit is a dense linear order without endpoints (i.e.
no smallest nor largest element).
Up to isomorphism, this is always equivalent to the structure formula_56, i.e.
the rational numbers with the usual ordering.
As a non-example, note that neither formula_57 nor formula_58 are the Fraïssé limit of formula_55.
This is because, although both of them are countable and have formula_55 as their age, neither one is homogeneous.
To see this, consider the substructures formula_61 and formula_62, and the isomorphism formula_63 between them.
This cannot be extended to an automorphism of formula_57 or formula_58, since there is no element to which we could map formula_66, while still preserving the order.
Another example is the class formula_67 of all finite graphs, whose Fraïssé limit is the Rado graph.
Suppose our class formula_1 under consideration satisfies the additional property of being "uniformly locally finite", which means that for every formula_69, there is a uniform bound on the size of an formula_69-generated substructure.
This condition is equivalent to the Fraïssé limit of formula_1 being ω-categorical.
For example, the class of finite dimensional vector spaces over a fixed field is always a Fraïssé class, but it is uniformly locally finite only if the field is finite.
Jeffrey Jay
Jeffrey Jay (b.
1988) is an American comedian, writer, and public speaker.
In 2011, the "The Advocate" placed him on their list 7 Funny LGBT Comics You Shouldn’t Have Missed.
In 2013, he was a finalist for Funniest Comedian in Texas; the same year, "The Advocate" named him one of the 5 Hottest Transgender Comedians.
In television, Jay has appeared on the CW's "The Eye Opener".
Jay has spoken and performer at universities around the country, including Ramapo College of New Jersey; the University of New Haven in Connecticut; Hilbert College in Hamburg, New York; Wilson College in Chambersburg, Pennsylvania; Lake Superior State University in Sault Ste.
Marie, Michigan; Wayne State University in Detroit, Michigan; Longwood University in Farmville, Virginia, Eastern Illinois University, and the University of Delaware.
Jay was raised in Texas.
He came out as a lesbian at age 14.
Using a fake ID, he began going to a gay club in Houston.
By age 20, Jay knew that something was unresolved in regard to his gender identity.
Upon seeing a TV program featuring a trans man, he had his realization and knew he needed to transition.
His parents were supportive, and Jay found a clinic in New York that was willing to expedite the then-two-year waiting period for hormones.
Jay began his testosterone at age 21.
He shortly thereafter dropped out of college and moved back to Texas where he sold knives in malls.
Jay has performed at comedy events such as the Dallas Comedy Festival, Portland Queer Comedy Festival, Bridgetown Comedy Festival, and Los Angeles Pride.
He tours regularly and has played venues across the United States including Westside Comedy Theater in Santa Monica, California; the Funny Farm Comedy Club in Youngstown, Ohio; Ice House Comedy Club in Pasadena, California; and Ray Combs Florida Comedy Club.
He also tours universities across the U.S.
Halosaccion glandiforme
Halosaccion glandiforme, also known as sea sacs or sea grapes, is a species of red algae.
It was first described to science by S. G. Gmelin in 1768, in what is arguably the first book to focus on marine biology, "Historia Fucorum""."
Franz Josef Ruprecht is responsible for the current taxonomic description.
The type specimen was collected in Kamchatka, Russia.
The thallus, or body, of this algae is a hollow, torpedo-shaped sac.
This ellipsoid shape has low drag through the water allowing the algae to inhabit areas with significant wave and current energy.
The sac is reddish-purple to yellowish-brown in color.
It can be as long as , but is usually shorter.
The sac can be up to in diameter.
The sac wall is up to thick.
There are 5 to 15 small pores in the thallus that allow sea water into and out of the sac.
These pores are to in diameter.
When submerged, the elasticity of the sac walls draws water into the thallus through the pores.
Rapid photosynthesis produces a small oxygen bubble inside the sac which holds it toward the surface and the energy of the sun.
The sac tapers to a short stipe, or stem, that connects to a small, disc-shaped holdfast which anchors the algae to the bottom.
The stipe is relatively weak, but sufficient to anchor the algae given the low drag of the thallus.
When the tide goes out, the algae desiccates in the open air.
Water from the sac leaks out of the pores, keeping the thallus cool and moist.
As the water leaks away, the sac deflates and may appear flattened.
While a deflated sac will perish in the sun within three hours, sacs that are water-filled when the tide goes out remain moist and cool, surviving until the next tide covers them.
Older sea sacs sometimes have their tips abraded away, leaving them without their internal supply of water.
Sea sacs are widely distributed in the north Pacific Ocean.
The species is found from the Russian Far East to the Bering and Chukchi Seas, the Aleutian Islands, mainland Alaska and south along the coast of North America to Point Conception, California.
Sea sacs are found in Puget Sound.
This is a shallow water species growing in the low to middle intertidal zone.
It usually grows on rock, showing a very marked preference for the rough, exposed points of rock rather than the cracks and valleys in rock.
It may also grow on algae, including "Corallina vancouveriensis" and "Neorhodomela larix""."
It will growth in areas that are exposed to waves and in semi-protected areas.
This algae is an annual, appearing in the Spring and degenerating in the Fall.
It has a complex reproductive strategy.
The obvious sea sacs that are seen in the intertidal zone are a mix of male gametophytes and asexual tetrasporophytes.
They appear to be identical, but close examination reveals the thalli of the tetrasporophytes to be dotted with the red tetraspores.
The female gametophyte is microscopic and unlikely to be noticed outside of a laboratory.
The reproductive cycle of sea sacs proceeds are follows:
Sea sacs generate all their energy from photosynthesis.
They are eaten by limpets and the black turban snail, "Tegula funebralis".
They are edible by humans, either raw or in soups.
Small amphipods may chew their way into a sac and live there, safe from predators.
William Leach (cricketer, born 1883)
William Robert Ronald Leach (3 April 1883 – 1 November 1969) was an English first-class cricketer and Royal Navy officer.
The son of Major-General Edmund Leach and Frances Elizabeth Ince, he was born at Kensington in April 1883.
He was commissioned as a sub-lieutenant in the Royal Navy in September 1902, with promotion to lieutenant following in April 1905.
Leach later made a single appearance in first-class cricket for the Royal Navy against the British Army cricket team at Lord's in 1913.
He took 3 wickets in the Army first-innings, dismissing Douglas Robinson, Arthur Turner and Francis Wilson to finish with figures of 3 for 61.
He was dismissed by Francis Wyatt in both the Royal Navy innings', with the Army winning the match by 10 wickets.
After serving in the First World War, he was placed on the retired list at his own request in December 1919, at which point he held the rank of lieutenant commander.
Although retired, he was made a commander in April 1923.
Leach died at Eastbourne in November 1969.
His brother Henry Leach was a Brigadier-General in the army.
John Kinner House
The John Kinner House, in Douglas County, Colorado near Sedalia, Colorado, was built in 1896.
It was listed on the National Register of Historic Places in 1974.
It is a two-story house with a one-story wing to the rear, built of squared sandstone quarried by John Kinner, an immigrant from Germany.
The five high and narrow bays on the main facade reflect German style.
It is located at 6694 Perry Park Rd.
Doug Smart
John Douglas Smart (December 4, 1936 – November 18, 2019) was an American basketball player.
He played college basketball for the University of Washington, where he was an All-American as a senior.
Smart was born and raised in Seattle.
He played for Garfield High School, where he averaged 26.7 points per game and led the team to a state championship in 1955.
Following the close of his high school career, Smart chose the hometown Washington Huskies for college.
He was a three-year starter for coach Tippy Dye, averaging 18.9 points and 13.5 rebounds per game for his career.
He was named to the All-Pacific Coast Conference (now Pac-12) team each of his three varsity seasons.
He was an Associated Press (AP) honorable mention all three years and a third-team All-American by the United Press International (UPI) as a senior in 1959.

Essential countability (EC)

In that case, we say that K is a "Fraïssé class", and there is a unique (up to isomorphism), countable, homogeneous structure formula_3 whose age is exactly formula_1.

This structure is called the "Fraïssé limit" of formula_1.

Here, "homogeneous" means that any isomorphism "formula_53" between two finitely generated substructures formula_31 can be extended to an automorphism of the whole structure.

The archetypal example is the class formula_55 of all finite linear orderings, for which the Fraïssé limit is a dense linear order without endpoints (i.e.

no smallest nor largest element).

Up to isomorphism, this is always equivalent to the structure formula_56, i.e.

the rational numbers with the usual ordering.

As a non-example, note that neither formula_57 nor formula_58 are the Fraïssé limit of formula_55.

This is because, although both of them are countable and have formula_55 as their age, neither one is homogeneous.

To see this, consider the substructures formula_61 and formula_62, and the isomorphism formula_63 between them.

This cannot be extended to an automorphism of formula_57 or formula_58, since there is no element to which we could map formula_66, while still preserving the order.

Another example is the class formula_67 of all finite graphs, whose Fraïssé limit is the Rado graph.

Suppose our class formula_1 under consideration satisfies the additional property of being "uniformly locally finite", which means that for every formula_69, there is a uniform bound on the size of an formula_69-generated substructure.

This condition is equivalent to the Fraïssé limit of formula_1 being ω-categorical.

For example, the class of finite dimensional vector spaces over a fixed field is always a Fraïssé class, but it is uniformly locally finite only if the field is finite.

Jeffrey Jay

Jeffrey Jay (b.

1988) is an American comedian, writer, and public speaker.

In 2011, the "The Advocate" placed him on their list 7 Funny LGBT Comics You Shouldn’t Have Missed.

In 2013, he was a finalist for Funniest Comedian in Texas; the same year, "The Advocate" named him one of the 5 Hottest Transgender Comedians.

In television, Jay has appeared on the CW's "The Eye Opener".

Jay has spoken and performer at universities around the country, including Ramapo College of New Jersey; the University of New Haven in Connecticut; Hilbert College in Hamburg, New York; Wilson College in Chambersburg, Pennsylvania; Lake Superior State University in Sault Ste.

Marie, Michigan; Wayne State University in Detroit, Michigan; Longwood University in Farmville, Virginia, Eastern Illinois University, and the University of Delaware.

Jay was raised in Texas.

He came out as a lesbian at age 14.

Using a fake ID, he began going to a gay club in Houston.

By age 20, Jay knew that something was unresolved in regard to his gender identity.

Upon seeing a TV program featuring a trans man, he had his realization and knew he needed to transition.

His parents were supportive, and Jay found a clinic in New York that was willing to expedite the then-two-year waiting period for hormones.

Jay began his testosterone at age 21.

He shortly thereafter dropped out of college and moved back to Texas where he sold knives in malls.

Jay has performed at comedy events such as the Dallas Comedy Festival, Portland Queer Comedy Festival, Bridgetown Comedy Festival, and Los Angeles Pride.

He tours regularly and has played venues across the United States including Westside Comedy Theater in Santa Monica, California; the Funny Farm Comedy Club in Youngstown, Ohio; Ice House Comedy Club in Pasadena, California; and Ray Combs Florida Comedy Club.

He also tours universities across the U.S.

Halosaccion glandiforme

Halosaccion glandiforme, also known as sea sacs or sea grapes, is a species of red algae.

It was first described to science by S. G. Gmelin in 1768, in what is arguably the first book to focus on marine biology, "Historia Fucorum""."

Franz Josef Ruprecht is responsible for the current taxonomic description.

The type specimen was collected in Kamchatka, Russia.

The thallus, or body, of this algae is a hollow, torpedo-shaped sac.

This ellipsoid shape has low drag through the water allowing the algae to inhabit areas with significant wave and current energy.

The sac is reddish-purple to yellowish-brown in color.

It can be as long as , but is usually shorter.

The sac can be up to in diameter.

The sac wall is up to thick.

There are 5 to 15 small pores in the thallus that allow sea water into and out of the sac.

These pores are to in diameter.

When submerged, the elasticity of the sac walls draws water into the thallus through the pores.

Rapid photosynthesis produces a small oxygen bubble inside the sac which holds it toward the surface and the energy of the sun.

The sac tapers to a short stipe, or stem, that connects to a small, disc-shaped holdfast which anchors the algae to the bottom.

The stipe is relatively weak, but sufficient to anchor the algae given the low drag of the thallus.

When the tide goes out, the algae desiccates in the open air.

Water from the sac leaks out of the pores, keeping the thallus cool and moist.

As the water leaks away, the sac deflates and may appear flattened.

While a deflated sac will perish in the sun within three hours, sacs that are water-filled when the tide goes out remain moist and cool, surviving until the next tide covers them.

Older sea sacs sometimes have their tips abraded away, leaving them without their internal supply of water.

Sea sacs are widely distributed in the north Pacific Ocean.

The species is found from the Russian Far East to the Bering and Chukchi Seas, the Aleutian Islands, mainland Alaska and south along the coast of North America to Point Conception, California.

Sea sacs are found in Puget Sound.

This is a shallow water species growing in the low to middle intertidal zone.

It usually grows on rock, showing a very marked preference for the rough, exposed points of rock rather than the cracks and valleys in rock.

It may also grow on algae, including "Corallina vancouveriensis" and "Neorhodomela larix""."

It will growth in areas that are exposed to waves and in semi-protected areas.

This algae is an annual, appearing in the Spring and degenerating in the Fall.

It has a complex reproductive strategy.

The obvious sea sacs that are seen in the intertidal zone are a mix of male gametophytes and asexual tetrasporophytes.

They appear to be identical, but close examination reveals the thalli of the tetrasporophytes to be dotted with the red tetraspores.

The female gametophyte is microscopic and unlikely to be noticed outside of a laboratory.

The reproductive cycle of sea sacs proceeds are follows:

Sea sacs generate all their energy from photosynthesis.

They are eaten by limpets and the black turban snail, "Tegula funebralis".

They are edible by humans, either raw or in soups.

Small amphipods may chew their way into a sac and live there, safe from predators.

William Leach (cricketer, born 1883)

William Robert Ronald Leach (3 April 1883 – 1 November 1969) was an English first-class cricketer and Royal Navy officer.

The son of Major-General Edmund Leach and Frances Elizabeth Ince, he was born at Kensington in April 1883.

He was commissioned as a sub-lieutenant in the Royal Navy in September 1902, with promotion to lieutenant following in April 1905.

Leach later made a single appearance in first-class cricket for the Royal Navy against the British Army cricket team at Lord's in 1913.

He took 3 wickets in the Army first-innings, dismissing Douglas Robinson, Arthur Turner and Francis Wilson to finish with figures of 3 for 61.

He was dismissed by Francis Wyatt in both the Royal Navy innings', with the Army winning the match by 10 wickets.

After serving in the First World War, he was placed on the retired list at his own request in December 1919, at which point he held the rank of lieutenant commander.

Although retired, he was made a commander in April 1923.

Leach died at Eastbourne in November 1969.

His brother Henry Leach was a Brigadier-General in the army.

John Kinner House

The John Kinner House, in Douglas County, Colorado near Sedalia, Colorado, was built in 1896.

It was listed on the National Register of Historic Places in 1974.

It is a two-story house with a one-story wing to the rear, built of squared sandstone quarried by John Kinner, an immigrant from Germany.

The five high and narrow bays on the main facade reflect German style.

It is located at 6694 Perry Park Rd.

Doug Smart

John Douglas Smart (December 4, 1936 – November 18, 2019) was an American basketball player.

He played college basketball for the University of Washington, where he was an All-American as a senior.

Smart was born and raised in Seattle.

He played for Garfield High School, where he averaged 26.7 points per game and led the team to a state championship in 1955.

Following the close of his high school career, Smart chose the hometown Washington Huskies for college.

He was a three-year starter for coach Tippy Dye, averaging 18.9 points and 13.5 rebounds per game for his career.

He was named to the All-Pacific Coast Conference (now Pac-12) team each of his three varsity seasons.

He was an Associated Press (AP) honorable mention all three years and a third-team All-American by the United Press International (UPI) as a senior in 1959.