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Download internet download manager latest build idm internet download manager is. idm 6 build 9 full crack. Download free idm 6.15 build 9 full crack.. With latest version of this software you can download.The present invention relates to a method for producing esters of vegetable oil fatty acids, and more especially a method for producing esters of fatty acids having 16 or more carbon atoms of vegetable oils using a polyol or the like as a raw material.
Vegetable oil has abundant unsaturated fatty acids such as oleic acid (C.sub.18:1) and linoleic acid (C.sub.18:2) in their structure, and it is a general object of the industry to obtain monounsaturated fatty acid esters by esterification of these fatty acids with polyols or glycerol.
During conventional esterification reactions, the reactions are carried out by heating the raw materials in the presence of an acid catalyst with stirring, and the catalytic efficiencies are low, whereby expensive catalysts are required in order to increase the reaction rate, resulting in the fact that the reaction costs are high. Moreover, a long reaction time is necessary during the esterification reaction in order to obtain esters of a high degree of conversion. Since the temperature required for the esterification reaction must be high to ensure a high degree of conversion, the undesired deposition of the reaction mixture takes place on the reaction vessel wall, and the catalyst remains unused as a result of forming an insoluble solid. It is thus difficult to obtain the desired esters in a large quantity from the reaction system, and also the evaporation of the unused ester becomes necessary in order to reuse the catalyst, thereby increasing the costs of raw materials and the costs of operations.
In order to eliminate the above described drawbacks, methods for producing esters of vegetable oil fatty acids have been proposed. For example, Japanese patent publication (kokoku) No. 58-29,069 and Japanese patent publication (kokoku) No. 62-27,786 propose methods for producing an ester by heating a mixture of a fatty acid and a polyol in the presence of a catalyst (phosphoric acid, sulfur
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A:
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Q:
How do I add a column with added values by a column in another column
I have a dataframe with multiple columns. For example I have a list of items that have some categories.
item category price
Thing car 1
Thing bicycle 2
Thing eating 3
I need to add two columns with values of price X number of occurrences. I want this to be more robust to the number of occurrences.
item category price occurrences
Thing car 1 1
Thing bicycle 2 2
Thing eating 3 3
So I want to generate two new columns: one with X number of occurrences of each category. The idea being that if I have more than one item like Thing, this will add on an extra zero to represent that.
item category price occurrences
Thing car
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