input question: Information:  - Fann (Panh) Khusraw, better known by his laqab of Aud al-Dawla ("Pillar of the [Abbasid] Dynasty") (September 24, 936   March 26, 983) was an emir of the Buyid dynasty, ruling from 949 to 983, and at his height power ruling an empire stretching from Makran as far to Yemen and the shores of the Mediterranean Sea. He is widely regarded as the greatest monarch of the dynasty, and by the end of his reign was the most powerful Muslim ruler.  - Abu Shuja ( Persian :     ; 993 -- December 1024 ) , better known by his laqab of Sultan al - Dawla ( Persian :   , `` Power of the Dynasty '' ) , was the Buyid amir of Fars ( 1012 -- 1024 ) and Iraq ( 1012 -- 1021 ) . He was the son of Baha ' al - Dawla .  - Abu Nasr Firuz Kharshadh (died December 22, 1012), better known by his "laqab" of Baha' al-Dawla (meaning "Splendour of the State") was the Buyid amir of Iraq (9881012), along with Fars and Kerman (9981012). His early reign was dominated by struggles with his rival relatives over control of the western Persian provinces, but by 998 he managed to establish his supremacy over the Buyid confederation. His reign nevertheless saw the increasing encroachment of neighbouring powers on Buyid territory, and marks the beginning of the decline of the Buyids' power. He was the third son of 'Adud al-Dawla.  - Iraq (, or ; '; '), officially known as the Republic of Iraq ('; ') is a country in Western Asia, bordered by Turkey to the north, Iran to the east, Kuwait to the southeast, Saudi Arabia to the south, Jordan to the southwest, and Syria to the west. The capital, and largest city, is Baghdad. The main ethnic groups are Arabs and Kurds; others include Assyrians, Turkmen, Shabakis, Yazidis, Armenians, Mandeans, Circassians, and Kawliya. Around 95% of the country's 36 million citizens are Muslims, with Christianity, Yarsan, Yezidism, and Mandeanism also present. The official languages of Iraq are Arabic and Kurdish.  - Jordan ('), officially The Hashemite Kingdom of Jordan ('), is an Arab kingdom in Western Asia, on the East Bank of the Jordan River. Jordan is bordered by Saudi Arabia to the east and south, Iraq to the north-east, Syria to the north, Israel, Palestine and the Dead Sea to the west and the Red Sea in its extreme south-west. Jordan is strategically located at the crossroads of Asia, Africa and Europe. The capital, Amman, is Jordan's most populous city as well as the country's economic, political and cultural centre.    Given the information, choose the subject and object entities that have the relation of 'noble family'.???
output answer: sultan al-dawla , buyid dynasty

input question: Information:  - In elementary geometry, a polytope is a geometric object with flat sides, and may exist in any general number of dimensions "n" as an "n"-dimensional polytope or "n"-polytope. For example, a two-dimensional polygon is a 2-polytope and a three-dimensional polyhedron is a 3-polytope.  - In computer science, program optimization or software optimization is the process of modifying a software system to make some aspect of it work more efficiently or use fewer resources. In general, a computer program may be optimized so that it executes more rapidly, or is capable of operating with less memory storage or other resources, or draw less power.  - In computer science and particularly in compiler design, loop nest optimization (LNO) is an optimization technique that applies a set of loop transformations for the purpose of locality optimization or parallelization or other loop overhead reduction of the loop nests. One classical usage is to reduce memory access latency or the cache bandwidth necessary due to cache reuse for some common linear algebra algorithms.  - The polyhedral model ( also called the polytope method ) is a mathematical framework for loop nest optimization in program optimization . The polytope method treats each loop iteration within nested loops as lattice points inside mathematical objects called polytopes , performs affine transformations or more general non-affine transformations such as tiling on the polytopes , and then converts the transformed polytopes into equivalent , but optimized ( depending on targeted optimization goal ) , loop nests through polyhedra scanning .  - The Multinational Aircrew Electronic Warfare Tactics Facility Polygone - POLYGON is an Electronic Warfare Tactics Range located on the border between Germany and France. It is a tri-national facility operated by France, Germany and the United States.  - In mathematics and computer science, an algorithm is a self-contained sequence of actions to be performed. Algorithms perform calculation, data processing, and/or automated reasoning tasks.  - Geometry (from the ; "geo-" "earth", "-metron" "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.  - Computer science is the study of the theory, experimentation, and engineering that form the basis for the design and use of computers. It is the scientific and practical approach to computation and its applications and the systematic study of the feasibility, structure, expression, and mechanization of the methodical procedures (or algorithms) that underlie the acquisition, representation, processing, storage, communication of, and access to information. An alternate, more succinct definition of computer science is the study of automating algorithmic processes that scale. A computer scientist specializes in the theory of computation and the design of computational systems.  - In elementary geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices. The word polyhedron comes from the Classical Greek , as "poly-" (stem of , "many") + "-hedron" (form of , "base" or "seat").  - A computer program is a collection of instructions that performs a specific task when executed by a computer. A computer requires programs to function, and typically executes the program's instructions in a central processing unit.  - A compiler is a computer program (or a set of programs) that transforms source code written in a programming language (the source language) into another computer language (the target language), with the latter often having a binary form known as object code. The most common reason for converting source code is to create an executable program.    Given the information, choose the subject and object entities that have the relation of 'subclass of'.???
output answer:
polytope model , algorithm