Abstract: Aspects described herein relate to partitioning multiple data tuples stored in a database system to multiple partitions based on multiple partition keys. The multiple data tuples can be assigned to multiple partitions such that each partition of the multiple partitions includes a portion of the multiple data tuples having same values for at least one of the multiple partition keys. A set of exceptions can be generated including data tuples having a first value of at least a first one of the multiple partition keys that is the same as the same value of a first portion of data tuples assigned to a first one of the multiple partitions, and a second value of at least a second one of the multiple partition keys that is the same as the same value of a second portion of data tuples assigned to a second one of the multiple partitions.

Abstract: Aspects described herein relate to maintaining a dataset with approximate constraints including determining, for a dataset, a constraint collection of tuples that satisfy a constraint and an exception collection of tuples that are an exception to the constraint, constructing, for the dataset, a sharded bitmap of bits, wherein each bit in the sharded bitmap indicates whether a tuple in the dataset is in the exception collection of tuples, wherein the sharded bitmap includes, for each shard of multiple shards, a bitmap of bits and a starting bit location index within the sharded bitmap of bits for the shard, and processing a query on the dataset including processing the constraint collection of tuples and the exception collection of tuples based on the sharded bitmap.

Abstract: Aspects described herein relate to maintaining a dataset with approximate constraints including determining, for a dataset, a constraint collection of tuples that satisfy a constraint and an exception collection of tuples that are an exception to the constraint, constructing, for the dataset, a sharded bitmap of bits, wherein each bit in the sharded bitmap indicates whether a tuple in the dataset is in the exception collection of tuples, wherein the sharded bitmap includes, for each shard of multiple shards, a bitmap of bits and a starting bit location index within the sharded bitmap of bits for the shard, and processing a query on the dataset including processing the constraint collection of tuples and the exception collection of tuples based on the sharded bitmap.

Abstract: A method of formfree printing a three-dimensional object in layers with at least one printing material includes outputting printing material in at least one printing material string in string-shape via at least one printing head; receiving, via a printing platen, at least one printing material string output by the at least one printing head; providing a rod-shaped heating device movably arranged over the printing platen; controlling the rod-shaped heating device, via a heat controller, to emit a heat irradiation directed to the printing platen to heat the at least one printing material string to a reaction temperature to trigger a chemical reaction of the at least one printing material of the at least one printing material string; providing at least one motor coupled to the rod-shaped heating device to move it over the printing platen; and controlling the at least one motor, via a motor controller, to move the rod-shaped heating device over the printing platen to harden the at least one printing material stri

Abstract: A method of formfree printing a three-dimensional object in layers with at least one printing material includes outputting printing material in at least one printing material string in string-shape via at least one printing head; receiving, via a printing platen, at least one printing material string output by the at least one printing head; providing a rod-shaped heating device movably arranged over the printing platen; controlling the rod-shaped heating device, via a heat controller, to emit a heat irradiation directed to the printing platen to heat the at least one printing material string to a reaction temperature to trigger a chemical reaction of the at least one printing material of the at least one printing material string; providing at least one motor coupled to the rod-shaped heating device to move it over the printing platen; and controlling the at least one motor, via a motor controller, to move the rod-shaped heating device over the printing platen to harden the at least one printing material stri

Abstract: According to various embodiments, a device for formfree printing a three-dimensional object in layers using at least one printing material includes: at least one printing head to output printing material in at least one printing material string; a printing platen to receive the at least one printing material string output by the at least one printing head; a rod-shaped heating device movably arranged over the printing platen; a heat controller configured to control the rod-shaped heating device to emit a heat irradiation directed to the printing platen to heat the at least one printing material string; at least one motor coupled to the rod-shaped heating device to move it over the printing platen; a motor controller configured to control the at least one motor to move the rod-shaped heating device over the printing platen to harden the at least one printing material string printed on the printing platen.

Abstract: Aspects described herein relate to maintaining a dataset with approximate constraints including determining, for a dataset, a constraint collection of tuples that satisfy a constraint and an exception collection of tuples that are an exception to the constraint, constructing, for the dataset, a sharded bitmap of bits, wherein each bit in the sharded bitmap indicates whether a tuple in the dataset is in the exception collection of tuples, wherein the sharded bitmap includes, for each shard of multiple shards, a bitmap of bits and a starting bit location index within the sharded bitmap of bits for the shard, and processing a query on the dataset including processing the constraint collection of tuples and the exception collection of tuples based on the sharded bitmap.

Abstract: According to various embodiments, a device for formfree printing a three-dimensional object in layers using at least one printing material includes: at least one printing head to output printing material in at least one printing material string; a printing platen to receive the at least one printing material string output by the at least one printing head; a rod-shaped heating device movably arranged over the printing platen; a heat controller configured to control the rod-shaped heating device to emit a heat irradiation directed to the printing platen to heat the at least one printing material string; at least one motor coupled to the rod-shaped heating device to move it over the printing platen; a motor controller configured to control the at least one motor to move the rod-shaped heating device over the printing platen to harden the at least one printing material string printed on the printing platen.