In this paper we derive a Heisenberg-type uncertainty principle for the continuous Clifford wavelet transform. A brief review of Clifford algebra/analysis, wavelet transform on R and Clifford-Fourier transform and their proprieties has been conducted. Next, such concepts have been applied to develop an uncertainty principle based on Clifford wavelets.2000 Mathematics Subject Classification. 30G35, 42C40, 42B10, 15A66.
In the present work, we are concerned with the development of a new uncertainty principle based on the wavelet transform in the Clifford analysis/algebra framework. We precisely derive a sharp Heisenberg-type uncertainty principle for the continuous Clifford wavelet transform.
Plants are a large source of new bioactive molecules with therapeutic potentials. However, only a small amount of worldwide plants has been phytochemically investigated. The ethanolic extracts from leaves and flowers of Paronychia argentea were evaluated for their antilithiasic activity in vitro. The effect of extract (0.1, 0.2, 0.3, 1, 2, and 5mg/mL) was studied by the measurement of turbidity in presence or absence of extract at 620nm using UV/Vis spectrophotometer. Total phenol and flavonoid contents were also evaluated. Polyphenol content was found to be more present in the leaves extract (9.29±0.009mg of Gallic acid equivalent (GAE)/g) compared to the flowers extract (5.92±0.14mg GAE/g). Flavonoids content was also found to be more present in the floral extract that is estimated at 0.18±0.01 mg QE/g compared to the flowers extract (0.47±0.0035mg QE/g). For the antilithiasis activity, the results clearly shown that P. argentia extracts inhibited calcium oxalate crystallization by concentration-dependent manner. The maximum percent inhibition of calcium oxalate by flowers extract was found to be 70.97% at 5mg/mL. Further, P. argentea leaf extract has shown antilithiasic properties and may be used for the prevention of kidneys stones. Plants are a large source of new bioactive molecules with therapeutic potentials. However, only a small amount of worldwide plants has been phytochemically investigated. The ethanolic extracts from leaves and flowers of Paronychia argentea were evaluated for their antilithiasic activity in vitro. The effect of extract (0.1, 0.2, 0.3, 1, 2, and 5mg/mL) was studied by the measurement of turbidity in presence or absence of extract at 620 nm using UV/Vis spectrophotometer. Total phenol and flavonoid contents were also evaluated. Polyphenol content was found to be more present in the leaves extract (9.29±0.009mg of Gallic acid equivalent (GAE)/g) compared to the flowers extract (5.92±0.14mg GAE/g). Flavonoids content was also found to be more present in the floral extract that is estimated at 0.18±0.01mg QE/g compared to the flowers extract (0.47±0.0035mg QE/g). For the antilithiasis activity, the results clearly shown that P. argentia extracts inhibited calcium oxalate crystallization by concentration-dependent manner. The maximum percent inhibition of calcium oxalate by flowers extract was found to be 70.97% at 5mg/mL. Further, P. argentea leaf extract has shown antilithiasic properties and may be used for the prevention of kidneys stones.
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