Abstract: A method includes providing a substrate having a surface such that a first hard mask layer is formed over the surface and a second hard mask layer is formed over the first hard mask layer, forming a first pattern in the second hard mask layer, where the first pattern includes a first mandrel oriented lengthwise in a first direction and a second mandrel oriented lengthwise in a second direction different from the first direction, and where the first mandrel has a top surface, a first sidewall, and a second sidewall opposite to the first sidewall, and depositing a material towards the first mandrel and the second mandrel such that a layer of the material is formed on the top surface and the first sidewall but not the second sidewall of the first mandrel.

Abstract: An integrated circuit package including electrically floating metal lines and a method of forming are provided. The integrated circuit package may include integrated circuit dies, an encapsulant around the integrated circuit dies, a redistribution structure on the encapsulant, a first electrically floating metal line disposed on the redistribution structure, a first electrical component connected to the redistribution structure, and an underfill between the first electrical component and the redistribution structure. A first opening in the underfill may expose a top surface of the first electrically floating metal line.

Abstract: Data processing apparatus, method, and non-transitory tangible machine-readable medium thereof for recursively structured data are provided. The data processing apparatus accesses a piece of recursively structured data having a Location Independent Structure and arranges the piece of recursively structured data in a one-dimensional memory space according to LIS:=e0?e1? . . . ?ep?1?LIS0?LIS1? . . . ?LISp?1. The notation ei represents an element of the piece of recursively structured data. The notation LISi represents a sub-LIS of the recursively structured data and corresponds to the element ei. The operator ‘?’ indicates “contiguous to” in the one-dimensional memory space. When the elements in all depths are of the element size and the LIS sizes of the sub-LISs within the same depth are the same, the piece of recursively structured data is a complete LIS.

Abstract: Data processing apparatus, method, and non-transitory tangible machine-readable medium thereof for recursively structured data are provided. The data processing apparatus accesses a piece of recursively structured data having a Location Independent Structure and arranges the piece of recursively structured data in a one-dimensional memory space according to LIS:=e0?e1? . . . ?ep?1?LIS0?LIS1? . . . ?LISp?1. The notation ei represents an element of the piece of recursively structured data. The notation LISi represents a sub-LIS of the recursively structured data and corresponds to the element ei. The operator ‘?’ indicates “contiguous to” in the one-dimensional memory space. When the elements in all depths are of the element size and the LIS sizes of the sub-LISs within the same depth are the same, the piece of recursively structured data is a complete LIS.

Abstract: Database querying apparatuses, methods for querying a database, and non-transitory tangible machine-readable media thereof are provided. The database querying apparatus includes receives a query including an adjective, an attribute, and a dataset name. The database querying apparatuses is stored with a fact dataset, which is defined with the attribute and at least one data field. The fact dataset includes at least one fact record. Each fact record includes an attribute value corresponding to the attribute and a list of data corresponding to the at least one data field. The database querying apparatuses accesses the fact dataset according to the dataset name, divides the fact dataset into several groups according to the attribute values, apply the operation corresponding to the adjective to each group to derive several sub-results, and generate the final result for the query from the sub-results. The operation corresponds to the adjective.

Abstract: Data processing apparatuses and data processing methods are provided. The data processing apparatus includes a storage unit, an interface, and a processor. The storage unit stores a first key-value set including a plurality of first key-value pairs. Each of the first key-value pairs has a first key and a first value. The interface receives an instruction regarding a set operation and a function. The processor generates a plurality of second keys by applying the set operation to the first keys. Each of the second keys includes at least one of the first keys. The processor generates a second value for each of the second keys by applying the function to at least one datum corresponding to the at least one first key comprised in the second key. Each second key and the corresponding second value form a second key-value pair and the second key-value pairs form a second key-value set.

Abstract: Data processing apparatuses, methods, and non-transitory tangible machine-readable medium thereof are provided. The data processing method accesses a dimension table. The dimension table is defined with a plurality of attributes and includes at least one member. Each of the at least one member includes a plurality of attribute values corresponding to the attributes. The data processing method generates a smart index for each of the distinct attribute values. Each of the smart indexes includes a first value equivalent to one of the attribute values, a second value equivalent to the attribute corresponding to the first value, and a third value indicating a rank of the first value comparing to the rest attribute values corresponding to the second value, the first values are distinct. The data processing method integrates the smart indexes into a smart index record, wherein each of the smart indexes has an index within the smart index record.

Abstract: A magnetic core includes an ellipse-shaped central post and two side posts. The ellipse-shaped central post includes a long axis and a short axis. The length of the long axis is greater than the length of the short axis. The two side posts are disposed on two sides of the ellipse-shaped central post and opposite to each other. The two side posts are connected with the ellipse-shaped central post through two connecting portions respectively for defining at least one winding space with the ellipse-shaped central post. By utilizing the ellipse-shaped central post, the volume of the winding space is increased, the diameter of the wire of the winding coil can be increased, the temperature of the winding encapsulation is easy to be lowered, the over-volume issue of the winding encapsulation is avoided, and the safe distance between the bobbin and the winding encapsulation is increased, so that the present disclosure meets the safety regulation.

Abstract: Data processing apparatuses and data processing methods are provided. The data processing apparatus includes a storage unit, an interface, and a processor. The storage unit stores a first key-value set including a plurality of first key-value pairs. Each of the first key-value pairs has a first key and a first value. The interface receives an instruction regarding a set operation and a function. The processor generates a plurality of second keys by applying the set operation to the first keys. Each of the second keys includes at least one of the first keys. The processor generates a second value for each of the second keys by applying the function to at least one datum corresponding to the at least one first key comprised in the second key. Each second key and the corresponding second value form a second key-value pair and the second key-value pairs form a second key-value set.

Abstract: A large-scale data processing apparatus, method, and non-transitory tangible machine-readable medium are provided. The large-scale data processing apparatus includes a storage unit, an interface, and a processor. The storage unit is stored with a measure table comprising at least one measure. Each of the at least one measure includes a value corresponding to a key attribute and a piece of data corresponding to a data field. The interface is configured to receive a level order of N attributes, wherein N is a positive integer and the N attributes comprise the key attribute. The processor is configured to create a measure tree object for the measure table by following the level order so that the measure tree object has N levels corresponding to the N attributes in a one-to-one fashion.

Abstract: A large-scale data processing apparatus, method, and non-transitory tangible machine-readable medium are provided. The large-scale data processing apparatus includes a storage unit, an interface, and a processor. The storage unit is stored with a measure table comprising at least one measure. Each of the at least one measure includes a value corresponding to a key attribute and a piece of data corresponding to a data field. The interface is configured to receive a level order of N attributes, wherein N is a positive integer and the N attributes comprise the key attribute. The processor is configured to create a measure tree object for the measure table by following the level order so that the measure tree object has N levels corresponding to the N attributes in a one-to-one fashion.

Abstract: The disclosure discloses a magnetic unit, which includes a first ferrite core component, a second ferrite core component and a winding. There is a first hollow portion within the first ferrite core component. The second ferrite core component is disposed in the first hollow portion. There is a second hollow portion within the second ferrite core component. Magnetic saturation characteristics of the second ferrite core component are better than magnetic saturation characteristics of the first ferrite core component. The winding is wound on the first ferrite core component and the second ferrite core to component.

Abstract: A transformer includes a base, a magnetic core assembly and at least one winding coil assembly. The base includes a first receptacle and at least one first receiving recess. The magnetic core assembly includes a first magnetic part, a second magnetic part and a third magnetic part. The base is arranged between the first magnetic part and the second magnetic part. The first magnetic part has a first post accommodated within the first receptacle. The at least one winding coil assembly is disposed on the base. The third magnetic part is optionally accommodated within the first receiving recess, so that an air gap between the third magnetic part and the first magnetic part/the second magnetic part is adjustable.

Abstract: A transformer includes a case, a magnetic device and a thermally conductive layer. The case has a receptacle. The magnetic device is disposed within the receptacle, and includes a winding member and a magnetic core assembly. The thermally conductive layer is arranged between the magnetic device and the case for electrically isolating the magnetic device from the case. The heat generated by the magnetic device is transferred to the case through the thermally conductive layer and dissipated away to ambient air.

Abstract: A magnetic element module includes a magnetic core assembly and at least one first winding structure. The magnetic core assembly includes a first magnetic core and a second magnetic core. The first magnetic core includes a first magnetic slab and a first magnetic post. The second magnetic core includes a second magnetic slab and a second magnetic post. The first winding structure is sheathed around the first magnetic post. The first magnetic post is placed on a second edge of the second magnetic slab. The second magnetic post is placed on a first edge of the first magnetic slab. The first magnetic core, the second magnetic core and the first winding structure are combined together, thereby producing the magnetic element module.

Abstract: A magnetic element module includes a magnetic core assembly and at least one first winding structure. The magnetic core assembly includes a first magnetic core and a second magnetic core. The first magnetic core includes a first magnetic slab and a first magnetic post. The second magnetic core includes a second magnetic slab and a second magnetic post. The first winding structure is sheathed around the first magnetic post. The first magnetic post is placed on a second edge of the second magnetic slab. The second magnetic post is placed on a first edge of the first magnetic slab. The first magnetic core, the second magnetic core and the first winding structure are combined together, thereby producing the magnetic element module.

Abstract: A transformer includes a base, a magnetic core assembly and at least one winding coil assembly. The base includes a first receptacle and at least one first receiving recess. The magnetic core assembly includes a first magnetic part, a second magnetic part and a third magnetic part. The base is arranged between the first magnetic part and the second magnetic part. The first magnetic part has a first post accommodated within the first receptacle. The at least one winding coil assembly is disposed on the base. The third magnetic part is optionally accommodated within the first receiving recess, so that an air gap between the third magnetic part and the first magnetic part/the second magnetic part is adjustable.

Abstract: A transformer includes a case, a magnetic device and a thermally conductive layer. The case has a receptacle. The magnetic device is disposed within the receptacle, and includes a winding member and a magnetic core assembly. The thermally conductive layer is arranged between the magnetic device and the case for electrically isolating the magnetic device from the case. The heat generated by the magnetic device is transferred to the case through the thermally conductive layer and dissipated away to ambient air.