We establish several fundamental identities, including recurrence relations, degree elevation formulas, partition of unity and Marsden identity, for quantum Bernstein bases and quantum Bezier curves. We also develop t...We establish several fundamental identities, including recurrence relations, degree elevation formulas, partition of unity and Marsden identity, for quantum Bernstein bases and quantum Bezier curves. We also develop two term recurrence relations for quantum Bernstein bases and recursive evaluation algorithms for quantum Bezier curves. Our proofs use standard mathematical induction and other elementary techniques.展开更多
Background: Narcolepsy type 1 is a sleep disorder characterized by excessive sleepiness along with cataplexy and/or hypocretin deficiency. We present a case of narcolepsy type 1 in which the cataplexy symptoms were re...Background: Narcolepsy type 1 is a sleep disorder characterized by excessive sleepiness along with cataplexy and/or hypocretin deficiency. We present a case of narcolepsy type 1 in which the cataplexy symptoms were reduced while on suboxone. Aim: This case report aims to note the reduction of cataplexy symptoms with suboxone. Case Presentation: A 39-year-old female patient with narcolepsy type 1 was referred to our pain clinic for management with suboxone. The patient had tried various other medications for the management of narcolepsy. With opioid management, the patient reported reduced cataplexy symptoms. Conclusion: The case illustrates the scientific thought that opioids could increase hypocretin and reduce symptoms in narcolepsy type 1.展开更多
With the benefits of increased computing power and much improved software,temporal disaggregation is examined.Disaggregation,the process of obtaining high frequency data from low frequency data has been discussed for ...With the benefits of increased computing power and much improved software,temporal disaggregation is examined.Disaggregation,the process of obtaining high frequency data from low frequency data has been discussed for many years.This study examines three methods which utilize the autoregressive integrated moving average(ARIMA)model in a simulation study comparing parameter estimation,disaggregation mean square error,and forecast mean square error.Finally,the three methods are applied to a real-world time series.展开更多
文摘We establish several fundamental identities, including recurrence relations, degree elevation formulas, partition of unity and Marsden identity, for quantum Bernstein bases and quantum Bezier curves. We also develop two term recurrence relations for quantum Bernstein bases and recursive evaluation algorithms for quantum Bezier curves. Our proofs use standard mathematical induction and other elementary techniques.
文摘Background: Narcolepsy type 1 is a sleep disorder characterized by excessive sleepiness along with cataplexy and/or hypocretin deficiency. We present a case of narcolepsy type 1 in which the cataplexy symptoms were reduced while on suboxone. Aim: This case report aims to note the reduction of cataplexy symptoms with suboxone. Case Presentation: A 39-year-old female patient with narcolepsy type 1 was referred to our pain clinic for management with suboxone. The patient had tried various other medications for the management of narcolepsy. With opioid management, the patient reported reduced cataplexy symptoms. Conclusion: The case illustrates the scientific thought that opioids could increase hypocretin and reduce symptoms in narcolepsy type 1.
文摘With the benefits of increased computing power and much improved software,temporal disaggregation is examined.Disaggregation,the process of obtaining high frequency data from low frequency data has been discussed for many years.This study examines three methods which utilize the autoregressive integrated moving average(ARIMA)model in a simulation study comparing parameter estimation,disaggregation mean square error,and forecast mean square error.Finally,the three methods are applied to a real-world time series.
