Abstract: Techniques are described herein for automatically synthesizing programs that include one or more functions in a spreadsheet programming language. A method includes: receiving a first example including input provided in a first cell in a spreadsheet; automatically synthesizing a plurality of candidate programs including a first set of candidate programs consistent with the first example, wherein each candidate program in the first set of candidate programs comprises at least one function in a spreadsheet programming language and, when the candidate program is executed, the candidate program generates output that matches the first example; ranking the plurality of candidate programs; and storing a highest-ranked program of the plurality of candidate programs in association with the first cell in the spreadsheet.

Abstract: Techniques are described herein for automatically synthesizing programs that include one or more functions in a spreadsheet programming language. A method includes: receiving a first example including input provided in a first cell in a spreadsheet; automatically synthesizing a plurality of candidate programs including a first set of candidate programs consistent with the first example, wherein each candidate program in the first set of candidate programs comprises at least one function in a spreadsheet programming language and, when the candidate program is executed, the candidate program generates output that matches the first example; ranking the plurality of candidate programs; and storing a highest-ranked program of the plurality of candidate programs in association with the first cell in the spreadsheet.

Abstract: Techniques are described herein for automatically synthesizing programs that include one or more functions in a spreadsheet programming language. A method includes: receiving a first example including input provided in a first cell in a spreadsheet; automatically synthesizing a plurality of candidate programs including a first set of candidate programs consistent with the first example, wherein each candidate program in the first set of candidate programs comprises at least one function in a spreadsheet programming language and, when the candidate program is executed, the candidate program generates output that matches the first example; ranking the plurality of candidate programs; and storing a highest-ranked program of the plurality of candidate programs in association with the first cell in the spreadsheet.

Abstract: Techniques are described herein for automatically synthesizing programs that include one or more functions in a spreadsheet programming language. A method includes: receiving first user input in a first cell in a spreadsheet; automatically synthesizing a program using the first user input in the first cell as a first example, where the program includes at least one function in a spreadsheet programming language and, when the program is executed, the program generates output that matches the first example; determining at least one additional cell in the spreadsheet that is related to the first cell; determining that a display triggering condition is satisfied; and in response to the determining that the display triggering condition is satisfied, displaying, in each of the at least one additional cell, an output of the program corresponding to the additional cell.

Abstract: A plant treatment method comprising contacting the plant with: (a) a compound of formula (I): or a derivative salt thereof wherein L is a linking group; each of R1, R2 and R3 is independently selected from an optionally substituted alkyl, alkenyl, aryl or alkoxy group; R4 is oxygen or an optionally substituted alkyl, alkenyl or aryl group; each of R5 and R6 is an optionally substituted alkyl, alkenyl or aryl group; (b) at least one cationic biocide; (c) a hydrocarbyl saccharide compound; and (d) a non-ionic surfactant.

Abstract: Provided is an ornamental Christmas tree with a hollow interior that is adapted to be suspended from a support. The device includes a cording system attached to a base board. The cording system includes a plurality of elongated cords threaded halfway through a ring support and one or more wraparound cords. The elongated cords are supported by a ring support, such that the cords angle outward therefrom and towards the base to form a conical representation of a Christmas tree with an open interior. Wraparound cords are positioned around the outer perimeter of the device in a spiral or multiple ring configuration. In a suspended state, the ring support is hooked onto an overhead support. A user can decorate the device as the user would normally decorate a Christmas tree and fill the interior of the simulated tree with holiday decorations or presents.

Abstract: A method of treating a grass-carrying surface, the method comprising applying to the g carrying surface: (a) a compound of formula (I): or a derivative salt thereof wherein L is a linking group; each of R1, R2 and R3 is independently selected from an optionally substituted alkyl, alkenyl, aryl or alkoxy group; R4 is oxygen or an optionally substituted alkyl, alkenyl or aryl group; each of R5 and R6 is an optionally substituted alkyl, alkenyl or aryl group; and n is 0 or 1; (b) at least one cationic biocide; (c) a hydrocarbyl saccharide compound; and (d) a nonionic surfactant.

Abstract: A plant treatment method comprising contacting the plant with: (a) a compound of formula (I): or a derivative salt thereof wherein L is a linking group; each of R1, R2 and R3 is independently selected from an optionally substituted alkyl, alkenyl, aryl or alkoxy group; R4 is oxygen or an optionally substituted alkyl, alkenyl or aryl group; each of R5 and R6 is an optionally substituted alkyl, alkenyl or aryl group; (b) at least one cationic biocide; (c) a hydrocarbyl saccharide compound; and (d) a non-ionic surfactant.