ABSTRACT Torus networks are an attractive topology in supercomputing, balancing the tradeoff between network diameter and hardware costs. The nodes in a torus network are connected in a k-dimensional wrap-around mesh where each node has 2k neighbors.

What is Torus in CSE?

A Torus interconnect is a network topology for connecting processing nodes in a parallel computer system. A number of supercomputers on the TOP500 list use 3D Torus networks.

What is the diameter of a 3D Torus network of P processors?

If there is a processor at each nodes and leaves of the tree then the diameter is D = 2 log2( p-12) for p processors.

Is torus a 2D shape?

1D torus is a simple circle, and 2D torus has the shape of a doughnut. ... At one dimension, a torus topology is equivalent to a ring interconnect network, of a shape of a circle. At 2D, it is equivalent to a 2D mesh, but with extra connection at the edge nodes, which is the definition of 2D torus.

Does a torus have a hole?

In layman's terms, it's the number of "holes" an object has ("holes" interpreted in the sense of doughnut holes; a hollow sphere would be considered as having zero holes in this sense). A doughnut, or torus, has 1 such hole, while a sphere has 0. ... A torus has genus one, as does the surface of a coffee mug with a handle.

Telling Time on a Torus | Infinite Series

15 related questions found

What is a flat torus?

A flat torus is a parallelogram whose opposite sides are identified. A two-dimensional being living in such an object can not escape from it since each time he enters through a side of the parallelogram, he re-enters through the opposite side. ... It is referred to as the square flat torus.

How many people Torus Palatinus?

Torus palatinus is a harmless, painless bony growth located on the roof of the mouth (the hard palate). The mass appears in the middle of the hard palate and can vary in size and shape. About 20 to 30 percent of the population has torus palatinus.

What is a torus how it is generated in computer graphics?

In geometry, a torus (plural tori, colloquially donut) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle.

Is torus A 3d shape?

A 3d shape made by revolving a small circle (radius r) along a line made by a bigger circle (radius R). It usually looks like a ring.

Are humans a torus?

And so if you deform the human body and its inner (GI tract) and outer (skin) surfaces into the simplest possible shape, you end up with a doughnut-shaped object, a torus. All the other openings into the body that aren't part of the GI tract aren't holes, topologically/mathematically speaking, they're cavities.

Why is a torus flat?

It's called flat because every piece of it looks like the plane, with a flat geometry. The folded, donut shell torus inherits a curved geometry from the 3-space it lies in. Its inside horizontal circle, for instance, is shorter than its outside horizontal circle.

Can Tori get infected?

Tori palatinus can also become infected, as in our patient. It is not clear that drainage of the torus is beneficial or helps to speed up the recovery process. Instead, it can potentially introduce new pathogens into the area and cause more localized infection.

Is it painful to have Tori removed?

Though the surgery itself won't be painful, tori removal can be a bit uncomfortable. Another method of tori removal is done via lasers. Though not appropriate in all cases, this method provides excellent accuracy and less palate trauma than traditional tori surgery.

What causes Tori to grow?

Tori develop for a variety of reasons, all of them less alarming than cancer. For instance, chronic tooth grinding (bruxism) or a misaligned bite that puts abnormal pressure on the teeth may trigger the growth of tori. Individuals who eat lots of fish or calcium-rich foods may have a higher risk of developing tori.

Is a straw a torus?

After conducting some personal research, I have come to the conclusion that a straw is definitely a Torus. Therefore, if a Torus has one hole, a straw has one hole.

What is torus Crypto?

Torus allows users to login to your dApp with their OAuth accounts, Google and Facebook, to derive their private keys in a trustless manner.

Is a sphere a torus?

If your second path crosses your first line once, you are on a sphere. If it doesn't cross or it crosses more than once, you are on a torus.

Is Torus Mandibularis bad?

Tori palatini are not dangerous. The growths do not cause cancer, infections, or other serious complications. However, like any growth in the body, it can interfere with normal functioning. Very large growths and those located near other structures are more likely to cause complications.

How common is dental Tori?

It is a bony growth that develops on the lower jaw, beneath and on the side of the tongue. Tori affects about 27 out of every 1,000 adults, reports the National Institutes of Health, though it's not as well-known as other oral health conditions.

Do Tori cause snoring?

Similar to enlarged tonsils or adenoids, a large tongue, or an enlarged uvula, large mandibular tori can contribute to breathing obstructions, making one more susceptible to snoring and sleep apnea.

Can Tori go away?

A mandibular tori is slow growing, and this is the reason that many people never know they have one. Once you have it, though, you have it. A mandibular tori (or any other torus) does not go away on its own.

Can mandibular tori be cancerous?

Palatal tori appear in the roof of the mouth's center and might slowly grow larger over time. Though located in the palate, these tori rarely interfere with eating and speech. If you notice any torus in your mouth, rest assured that it's a benign growth that's not cancerous, nor will it evolve into cancer.

How do I get rid of Torus?

In most cases tori are benign and do not require treatment. However, tori will need to be surgically removed to accommodate upper or lower dentures and upper or lower partial dentures (flippers). Tori may also be removed to aid in minimizing food impaction under the excess bone, which will promote improved home care.

What is special about a torus?

The torus is the only surface which can be endowed with a metric of vanishing curvature. It is the only parallelizable surface. It is the only surface which can be turned into a topological group.

What is a torus used for?

323-324). The usual torus embedded in three-dimensional space is shaped like a donut, but the concept of the torus is extremely useful in higher dimensional space as well. holes.