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Exploring methods for finding solutions to polynomial equations
textThere are many methods for solving polynomial equations. Dating back to the Greek and Babylonian mathematicians, these methods have been explored throughout the centuries. The introduction of the Cartesian Coordinate Plane by Rene Descartes greatly enhanced the understanding of what the solutions actually represent. The invention of the graphing calculator has been a tremendous aid in the teaching of solutions of polynomial equations. Students are able to visualize what these solutions represent graphically. This report explores these methods and their uses.Mathematic
Convalescent plasma in patients admitted to hospital with COVID-19 (RECOVERY): a randomised controlled, open-label, platform trial
SummaryBackground Azithromycin has been proposed as a treatment for COVID-19 on the basis of its immunomodulatoryactions. We aimed to evaluate the safety and efficacy of azithromycin in patients admitted to hospital with COVID-19.Methods In this randomised, controlled, open-label, adaptive platform trial (Randomised Evaluation of COVID-19Therapy [RECOVERY]), several possible treatments were compared with usual care in patients admitted to hospitalwith COVID-19 in the UK. The trial is underway at 176 hospitals in the UK. Eligible and consenting patients wererandomly allocated to either usual standard of care alone or usual standard of care plus azithromycin 500 mg once perday by mouth or intravenously for 10 days or until discharge (or allocation to one of the other RECOVERY treatmentgroups). Patients were assigned via web-based simple (unstratified) randomisation with allocation concealment andwere twice as likely to be randomly assigned to usual care than to any of the active treatment groups. Participants andlocal study staff were not masked to the allocated treatment, but all others involved in the trial were masked to theoutcome data during the trial. The primary outcome was 28-day all-cause mortality, assessed in the intention-to-treatpopulation. The trial is registered with ISRCTN, 50189673, and ClinicalTrials.gov, NCT04381936.Findings Between April 7 and Nov 27, 2020, of 16 442 patients enrolled in the RECOVERY trial, 9433 (57%) wereeligible and 7763 were included in the assessment of azithromycin. The mean age of these study participants was65·3 years (SD 15·7) and approximately a third were women (2944 [38%] of 7763). 2582 patients were randomlyallocated to receive azithromycin and 5181 patients were randomly allocated to usual care alone. Overall,561 (22%) patients allocated to azithromycin and 1162 (22%) patients allocated to usual care died within 28 days(rate ratio 0·97, 95% CI 0·87–1·07; p=0·50). No significant difference was seen in duration of hospital stay (median10 days [IQR 5 to >28] vs 11 days [5 to >28]) or the proportion of patients discharged from hospital alive within 28 days(rate ratio 1·04, 95% CI 0·98–1·10; p=0·19). Among those not on invasive mechanical ventilation at baseline, nosignificant difference was seen in the proportion meeting the composite endpoint of invasive mechanical ventilationor death (risk ratio 0·95, 95% CI 0·87–1·03; p=0·24).Interpretation In patients admitted to hospital with COVID-19, azithromycin did not improve survival or otherprespecified clinical outcomes. Azithromycin use in patients admitted to hospital with COVID-19 should be restrictedto patients in whom there is a clear antimicrobial indication
CONJOINT AND PSEUDO-DISJUNCTIVE TREATMENT IN COMMUNICATION SKILLS FOR RELATIONSHIP IMPROVEMENT WITH MARITAL COUPLES
The marital relationship probably means a little something different to everyone, depending on his or her experience with or within such a relationship. There has always been interest and concern with the intimate relationship between husbands and wives but it has only been recently, the last few decades, that these needs have given birth to a clinical specialty which treats couples having difficulties with their relationships. The first clinics in the U. S. to begin serving couples with problems opened in the early 1930\u27s in Philadelphia and New York and are still functioning today (Olson, 1970).
In this paper, marital counseling and marital therapy are referred to as marital therapy. The reason for his is, as Olson suggests, that there are so many techniques covered by the term marital counseling that it inadequately describes any one treatment approach. ital therapy is developing its own identity because of its de-emphasis of individual pathology and its focus on the prominent significance of the relationship. This emphasis has also caused conjoint therapy (treatment ofthe relationship only with both partners present) to become the preferred mode of treatment for a great many therapists, e.g., Haley (1963), Jackson (1961), and Satir (1964). These persons whom I have cited are often most closely associated with family therapy but it is becoming of the disturbance and is the primary treatment unit. It is held that if a problem exists, then it exists within the system and can be effectively treated only by working with the whole system. When marital or relationship problems exist, they are a function of the two persons whom they affect. Although some research supports this theory (Udry, 1971), it may not apply in all situations. This contention will be discussed in more depth later.
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A Structural Analysis of Pension Disclosures Under SFAS 87 and Their Relation to Share Prices
The relevance of the value relevance literature for financial accounting standard setting: another view
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