The document explains the alphabetical order system. It begins with A and ends with Z, with the letters ordered sequentially in between. Examples are provided of listing words and letters in alphabetical order. The key points are that alphabetical order starts with A, proceeds letter by letter to Z, and examples show how to order multiple items from A to Z based on their first letter.
ESSLLI2016 DTS Lecture Day 2: Dependent Type Semantics (DTS)Daisuke BEKKI
The document introduces Dependent Type Semantics (DTS) as a new framework for natural language semantics that provides a unified approach to general inferences and anaphora resolution through proof construction. It discusses various approaches to discourse semantics and outlines some key aspects of DTS, including its treatment of language as proof-theoretic semantics based on an underspecified semantics and compositional semantics using a lexicalized grammar. The document also provides an example parsing and representation of a sentence containing a pronoun to demonstrate DTS's approach to deictic/coreferential uses versus bound variable anaphora.
1. The document discusses S-spaces and L-spaces, which are types of topological spaces that are hereditarily separable or hereditarily Lindelöf.
2. It presents theorems showing the existence or nonexistence of S-spaces and L-spaces under different set theory assumptions, such as the existence of Suslin lines or adding Cohen reals.
3. The canonical form theorem states that S-spaces and L-spaces (when they exist) can be represented as subspaces of 2^ω1, the Tychonoff product of ω1 many 2-point discrete spaces.
This document discusses equivalence relations and partitions. It begins by defining an equivalence relation and providing examples. It then defines equivalence classes and partitions. It states and proves theorems about how equivalence relations partition sets into disjoint equivalence classes whose union is the set. It provides exercises involving equivalence relations on sets of bit strings, ordered pairs, people, and states/counties. It concludes by proving a theorem about the existence of a function that maps elements to their equivalence classes.
This document provides instructions for finding books in the Brookhaven Elementary Library organized by author's last name. It explains that most fiction books are shelved alphabetically by the author's last name. For the Magic Tree House books by Mary Pope Osborne, students would look in the "Os" section. The call number changes depending on the book section, such as Easy Reader or Chapter books, but the last part stays the same using the first three letters of the author's last name. Within each section, books are arranged alphabetically by author's last name using the spine labels.
The document provides a list of space-related terms and asks the reader to arrange them in alphabetical order. The terms are: asteroid, comet, galaxy, gravity, meteor, moon, nebula, planet, rings, star.
The document contains lists of various topics arranged in alphabetical order, including homophones, silent letters, contractions, palindromes, idioms, baby animals, weather, fairy tales, types of money, months, fabrics, camping equipment, and concludes with "the end" in alphabetical order. Each list is presented with the topic terms in alphabetical order, with some lists containing repetition of the arrangement to reinforce the ordering.
The document explains how to order words alphabetically, or in "ABC order". It does this by using the first letter of each word to determine its position. Several examples are provided of words ordered alphabetically. The reader is then asked to order some word lists themselves and check their work against the answers provided.
The document explains the alphabetical order system. It begins with A and ends with Z, with the letters ordered sequentially in between. Examples are provided of listing words and letters in alphabetical order. The key points are that alphabetical order starts with A, proceeds letter by letter to Z, and examples show how to order multiple items from A to Z based on their first letter.
ESSLLI2016 DTS Lecture Day 2: Dependent Type Semantics (DTS)Daisuke BEKKI
The document introduces Dependent Type Semantics (DTS) as a new framework for natural language semantics that provides a unified approach to general inferences and anaphora resolution through proof construction. It discusses various approaches to discourse semantics and outlines some key aspects of DTS, including its treatment of language as proof-theoretic semantics based on an underspecified semantics and compositional semantics using a lexicalized grammar. The document also provides an example parsing and representation of a sentence containing a pronoun to demonstrate DTS's approach to deictic/coreferential uses versus bound variable anaphora.
1. The document discusses S-spaces and L-spaces, which are types of topological spaces that are hereditarily separable or hereditarily Lindelöf.
2. It presents theorems showing the existence or nonexistence of S-spaces and L-spaces under different set theory assumptions, such as the existence of Suslin lines or adding Cohen reals.
3. The canonical form theorem states that S-spaces and L-spaces (when they exist) can be represented as subspaces of 2^ω1, the Tychonoff product of ω1 many 2-point discrete spaces.
This document discusses equivalence relations and partitions. It begins by defining an equivalence relation and providing examples. It then defines equivalence classes and partitions. It states and proves theorems about how equivalence relations partition sets into disjoint equivalence classes whose union is the set. It provides exercises involving equivalence relations on sets of bit strings, ordered pairs, people, and states/counties. It concludes by proving a theorem about the existence of a function that maps elements to their equivalence classes.
This document provides instructions for finding books in the Brookhaven Elementary Library organized by author's last name. It explains that most fiction books are shelved alphabetically by the author's last name. For the Magic Tree House books by Mary Pope Osborne, students would look in the "Os" section. The call number changes depending on the book section, such as Easy Reader or Chapter books, but the last part stays the same using the first three letters of the author's last name. Within each section, books are arranged alphabetically by author's last name using the spine labels.
The document provides a list of space-related terms and asks the reader to arrange them in alphabetical order. The terms are: asteroid, comet, galaxy, gravity, meteor, moon, nebula, planet, rings, star.
The document contains lists of various topics arranged in alphabetical order, including homophones, silent letters, contractions, palindromes, idioms, baby animals, weather, fairy tales, types of money, months, fabrics, camping equipment, and concludes with "the end" in alphabetical order. Each list is presented with the topic terms in alphabetical order, with some lists containing repetition of the arrangement to reinforce the ordering.
The document explains how to order words alphabetically, or in "ABC order". It does this by using the first letter of each word to determine its position. Several examples are provided of words ordered alphabetically. The reader is then asked to order some word lists themselves and check their work against the answers provided.
The document contains a series of math problems involving ordering numbers from largest to smallest or smallest to largest. It provides numbers in an unordered list and asks the reader to write them in ascending or descending order. There are multiple sets of numbers with blanks to fill in the ordered arrangement.
Indra Krishnamurthy Nooyi is an Indian-American business executive who currently serves as the Chairman and CEO of PepsiCo, the second largest food and beverage company in the world. Jwala Gutta is a left-handed Indian badminton player who has won the National Badminton Championships thirteen times until 2010. Saina Nehwal and Mary Kom both won bronze medals for India at the 2012 London Olympics.
The document introduces a lesson on curved and straight lines. It begins by welcoming junior students to the module and stating that they will be learning about curved and straight lines. Examples of straight lines are shown in images of a straight building and road. Students are then asked to identify the curved lines in shapes like a circle and semicircle and to find examples of curved and straight lines.
This document introduces a lesson on division to students. It contains examples of dividing different numbers by 1, 2, 3, 4, 5, 7, 8, 9 and 10. The examples show the calculations and remainders for each division problem. The document concludes by saying goodbye and expressing hope that the students enjoyed the lesson.
Light pollution refers to excessive and obtrusive artificial light. There are multiple types of light pollution including light trespass, over-illumination, glare, light clutter, and sky glow. Light pollution reduces visibility of stars and can negatively impact human and animal health by increasing headaches, fatigue, stress, and anxiety. Reducing light pollution involves utilizing minimum necessary light intensities, timing lights to turn off when not needed, improving light fixture designs to better direct light where needed, adjusting light types, and reevaluating existing lighting plans. Potential solutions include full-cutoff fixtures that ensure light is directed below the horizontal.
The document contains a series of math problems involving ordering numbers from largest to smallest or smallest to largest. It provides numbers in an unordered list and asks the reader to write them in ascending or descending order. There are multiple sets of numbers with blanks to fill in the ordered arrangement.
Indra Krishnamurthy Nooyi is an Indian-American business executive who currently serves as the Chairman and CEO of PepsiCo, the second largest food and beverage company in the world. Jwala Gutta is a left-handed Indian badminton player who has won the National Badminton Championships thirteen times until 2010. Saina Nehwal and Mary Kom both won bronze medals for India at the 2012 London Olympics.
The document introduces a lesson on curved and straight lines. It begins by welcoming junior students to the module and stating that they will be learning about curved and straight lines. Examples of straight lines are shown in images of a straight building and road. Students are then asked to identify the curved lines in shapes like a circle and semicircle and to find examples of curved and straight lines.
This document introduces a lesson on division to students. It contains examples of dividing different numbers by 1, 2, 3, 4, 5, 7, 8, 9 and 10. The examples show the calculations and remainders for each division problem. The document concludes by saying goodbye and expressing hope that the students enjoyed the lesson.
Light pollution refers to excessive and obtrusive artificial light. There are multiple types of light pollution including light trespass, over-illumination, glare, light clutter, and sky glow. Light pollution reduces visibility of stars and can negatively impact human and animal health by increasing headaches, fatigue, stress, and anxiety. Reducing light pollution involves utilizing minimum necessary light intensities, timing lights to turn off when not needed, improving light fixture designs to better direct light where needed, adjusting light types, and reevaluating existing lighting plans. Potential solutions include full-cutoff fixtures that ensure light is directed below the horizontal.