The logistic map is a polynomial mapping ( equivalently, recurrence relation ) of degree 2, often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non-linear dynamical equations.

Although the recurrence risk is not increased, genetic counseling is often recommended for families who have had a pregnancy or child with Turner syndrome.

A recurrence of mild diarrhoea often follows the reintroduction of milk into the child's diet, due to bacterial fermentation of the disaccharide lactose in the gut.

Solutions to such recurrence relations of higher order are found by systematic means, often using the fact that a < sub > n </ sub > = r < sup > n </ sup > is a solution for the recurrence exactly when t = r is a root of the characteristic polynomial.

The correctness of a divide and conquer algorithm is usually proved by mathematical induction, and its computational cost is often determined by solving recurrence relations.

* Extreme event: hypothesize the portfolio's return given a catastrophic event, often the recurrence of a historical event.

Detection of AFP may help to confirm the diagnosis and is often used as a marker for recurrence or treatment efficacy, but is rarely the method of initial diagnosis.

To prevent recurrence, at the same time the bloat is treated surgically, a right-side gastropexy is often performed, which by a variety of methods firmly attaches the stomach wall to the body wall, to prevent it from twisting inside the abdominal cavity in the future.

Since endometriosis results from an overgrowth of the uterine lining, removal of the ovaries as a treatment for endometriosis is often done in conjunction with a hysterectomy to further reduce or eliminate recurrence.

Women with stage 1 disease who are at increased risk for recurrence and those with stage 2 disease are often offered surgery in combination with radiation therapy.

In such a case, a pathology report indicating the margins are free of residual tumour is often inaccurate, and a recurrence rates are much higher ( up to 38 %).

Treatment for a thyroglossal cyst is surgical resection, often requiring concomitant removal of the midsection of the hyoid bone ( Sistrunk procedure ), to prevent recurrence.

It should also be noted that recurrence of deformity is common after reduction and many patients will either bend their hardware or bend at the sacrum, which is often fully segmented during adolescence.

The Pringle manoeuvre is very often used during liver surgery to minimize blood loss, however it can directly lead to reperfusion phenomenon in the liver and it has recently been suggested that it should be avoided in hepatectomy for cancer patients due to its side effects on tumor recurrence and worse prognosis.

For discrete, localized tumors, surgery is often followed by radiation therapy of the excised area to reduce the chance of recurrence.

Chemotherapy is very effective for TVT, but surgery alone often leads to recurrence.

Challenging Friedrich Nietzsche ’ s concept of eternal recurrence ( the idea that the universe and its events have already occurred and will recur ad infinitum ), the story ’ s thematic meditations posit the alternative ; that each person has only one life to live, and that which occurs in life occurs only once and never again — thus the “ lightness ” of being.

An allusion to eternal recurrence also occurs at the conclusion of Browne's The Garden of Cyrus -

Follow up scans are extremely important for chondrosarcoma to make sure there has been no recurrence or metastasis, which usually occurs in the lungs.

Research performed at Winthrop University-Hospital showed that individuals without an appendix were four times more likely to have a recurrence of Clostridium difficile.

where are constant coefficients and p ( n ) is the inhomogeneity, then if is a polynomial with degree r, then this inhomogeneous recurrence can be reduced to a homogeneous recurrence by applying the method of symbolic differencing r times.

The eternal recurrence is the idea that all events that have happened will happen again, infinitely many times.

The X-ray bursts emitted from most of these systems recur on timescales ranging from hours to days, although more extended recurrence times are exhibited in some systems, and weak bursts with recurrence times between 5 – 20 minutes have yet to be explained but are observed in some less usual cases .< ref > The abbreviation XRB can refer either to this class of object ( X-ray burster ) or the astronomical observation of the associated emission ( X-ray burst ).

Furthermore, data from the ISAT group in March 2008 indicates that the higher aneurysm rate of recurrence is associated with a higher rebleeding rate, given that the rebleed rate of coiled aneurysms appears to be 8 times higher than that of surgically treated aneurysms in the ISAT study.

In descriptive statistics and chaos theory, a recurrence plot ( RP ) is a plot showing, for a given moment in time, the times at which a phase space trajectory visits roughly the same area in the phase space.

Eternal return ( also known as " eternal recurrence ") is a concept which posits that the universe has been recurring, and will continue to recur, in a self-similar form an infinite number of times across infinite time or space.

* In modern times eternal recurrence was a major theme in the teachings of the Russian mystic P. D. Ouspensky whose novel Strange Life of Ivan Osokin ( first published St. Petersburg 1915 ) explores the idea that even given the free-will to alter events in one's life, the same events will occur regardless.

It is highly probable that the recurrence of such a cycle or great year was, from the earliest times, solemnized with sacrifices and purifications, and that king Servius did not introduce them, but merely connected them with his census, and thus set the example for subsequent ages, which however, as we have seen, was not observed with regularity.

Updated data from the ISAT group in March 2008 shows that the higher aneurysm rate of recurrence is also associated with a higher rebleeding rate, given that the rebleed rate of coiled aneurysms appears to be 8 times higher than that of clipping treated aneurysms in this study.

Roberts played just eight times at The New Den when he suffered a recurrence of his finger injury which forced him to end his League career.

However, the notions of the Great Year ( when all the planets complete a full cycle and return to their relative positions ) and eternal recurrence were Stoic doctrines that made divination and fatalism possible.

It increases the relative amount of soft tissue and predisposes to recurrence and at the same time inept attempts to remove some nail matrix lead to faulty regrowth of the nail.

The aim of this study is to assess the use of perioperative medical intervention using a combination of a propranolol and etodolac in order to attenuate the surgically induced immunosuppression and other physiological perturbations, aiming to reduce the rate of tumor recurrence and distant metastatic disease.

For such an online algorithm, a recurrence relation is required between quantities from which the required statistics can be calculated in a numerically stable fashion.

To prevent a recurrence of the situation, Rogers modified the mask with connecting material to his uniform, an added benefit of which was extending his armor to cover his previously exposed neck.

Hyperinflation has always been a traumatic experience for the area which suffers it, and the next policy regime almost always enacts policies to prevent its recurrence.

In September 1967 Holt had suffered a recurrence of an old shoulder injury, which reportedly caused him agonising pain, and for this he was prescribed strong painkillers.

For traditional surgery, reported recurrence rates, which have been tracked for 10 years, range from 5-60 %.

Complications for ERA include burns, paraesthesia, clinical phlebitis, and slightly higher rates of deep vein thrombosis ( 0. 57 %) and pulmonary embolism ( 0. 17 %). One 3-year study compared ERA, with a recurrence rate of 33 %, to open surgery, which had a recurrence rate of 23 %.

Rice containing these added proteins can be used as a component in oral rehydration solutions which are used to treat diarrheal diseases, thereby shortening their duration and reducing recurrence.

" had composed a brilliant new score ( his most subtle yet ) to a scintillating libretto .... Iolanthe is the work in which Sullivan's operetta style takes a definite step forward, and metamorphosis of musical themes is its characteristic new feature .... By recurrence and metamorphosis of themes Sullivan made the score more fluid ...." Much of Sullivan's " fairy " music pays deliberate homage to the incidental music written by Felix Mendelssohn for a production of Shakespeare's A Midsummer Night's Dream.

In a more general sense, the strophe is a pair of stanzas of alternating form on which the structure of a given poem is based, with the strophe usually being identical with the stanza in modern poetry and its arrangement and recurrence of rhymes giving it its character.

This may be combined with the Babylonian method for extracting the square root of a matrix to give a recurrence which converges to an orthogonal matrix quadratically:

In response to the disaster and seasonal flooding, the U. S. Army Corps of Engineers built the long Everett Dam, as part of the Hopkinton-Everett Flood Control Project, which had been authorized by Congress to prevent a recurrence of the devastating floods.

A sequence which satisfies a relation of this form is called a linear recurrence sequence or LRS.

as the coefficient on, which vanishes ( by the recurrence relation ) for.

which is the characteristic equation of the recurrence relation.

This is a homogeneous recurrence which can be solved by the methods explained above.

Significant research has been devoted to finding accurate, stable recurrence schemes in order to preserve the accuracy of the FFT ( which is very sensitive to trigonometric errors ).

Much of the work deals with ideas such as the " eternal recurrence of the same ", the parable on the " death of God ", and the " prophecy " of the Übermensch, which were first introduced in The Gay Science.

More specifically, this note related to the concept of the eternal recurrence, which is, by Nietzsche's admission, the central idea of Zarathustra ; this idea occurred to him by a " pyramidal block of stone " on the shores of Lake Silvaplana in the Upper Engadine, a high alpine region whose valley floor is at 6, 000 ft. Nietzsche planned to write the book in three parts over several years.

which corresponds to the scale of an estimated Poincaré recurrence time for the quantum state of a hypothetical box containing a black hole with the estimated mass of the entire universe, observable or not, assuming a certain inflationary model with an inflaton whose mass is 10 < sup >− 6 </ sup > Planck masses.

The most recent data from Moret's group reveals even higher aneurysm recurrence rates, namely a 36. 5 % recurrence rate at 9 months ( which breaks down as 31. 1 % for small aneurysms less than 10 mm, and 56. 0 % for aneurysms 10 mm or larger ).

He missed out on the finals, however, with a recurrence of the hamstring injury which had ruled him out for much of Arsenal's double-winning campaign.

To abate discrimination of this type, some states have created a " subsequent injury trust fund " which will reimburse insurers for benefits paid to workers who suffer aggravation or recurrence of a compensable injury.