Dial-a-Joke is a service that allows individuals to call a specific telephone number to hear a recorded joke. These services became popular in the 1970s and 1980s, and they provided users with a quick and easy way to enjoy a laugh, often featuring a selection of different jokes or a new joke each day. Some Dial-a-Joke services were operated by individuals, while others were structured as businesses.

E.161 is a standard developed by the International Telecommunication Union (ITU) that specifies a numbering scheme for telephone keypads. It defines how to represent alphanumeric characters on the 12-key telephone keypad layout commonly found on mobile phones and other telecommunication devices. In the E.161 scheme, each number key is associated with a set of letters, enabling users to input text through the numeric keypad.

The conventions for writing telephone numbers can vary by country, but there are some common formats that are widely recognized. Here are some general guidelines for writing telephone numbers: ### 1. **Country Codes**: - When writing international telephone numbers, include the country code, prefixed by a plus sign (+) or double zero (00). - Example: +1 for the United States, +44 for the United Kingdom. ### 2.

The North American Numbering Council (NANC) is a federal advisory committee in the United States that provides recommendations to the Federal Communications Commission (FCC) regarding the management of telephone numbering, including the North American numbering plan (NANP). Established in 1995, the NANC's primary role is to ensure the efficient use of telephone numbers, promote competition, and facilitate the implementation of numbering-related policies.

A telephone keypad is an input device typically found on telephones and various communication devices, used for dialing phone numbers and accessing functions within the phone system. The keypad is usually arranged in a grid format and consists of buttons or keys that are labeled with numbers and, in some cases, letters and special characters. The standard layout for a telephone keypad includes: - **Number keys (0-9):** These keys are used for dialing numbers.

Telephone numbers in Oceania vary by country and region, but they typically follow a specific format. Here are some general details: 1. **Country Codes**: Each country in Oceania has its own telephone country code. For instance: - Australia: +61 - New Zealand: +64 - Papua New Guinea: +675 - Fiji: +679 - Samoa: +685 - Tonga: +676 2.

Three Men's Morris is a traditional strategy board game for two players. It's a simple variation of the more complex game of Nine Men's Morris. The objective of the game is to form a line of three pieces (or "men") of one's own color either horizontally or vertically on a 3x3 grid. ### Rules of Three Men's Morris: 1. **Setup:** - The game is played on a 3x3 grid.

The Ornstein isomorphism theorem is a result in the theory of dynamical systems, particularly in the context of ergodic theory. Named after the mathematician Donald Ornstein, it deals with the classification of measure-preserving transformations. The theorem states that any two ergodic measure-preserving systems that have the same entropy are isomorphic.

The Artin L-function is a generalization of the classical Riemann zeta function and is an important object in number theory and arithmetic geometry, particularly in the context of class field theory and algebraic number theory. It is associated with a representations of a Galois group, collections of characters, and the study of L-functions in the context of number fields. ### Definition 1.

Intensive and extensive properties are classifications of physical properties of matter that help in understanding the behavior and characteristics of different substances. Here's a brief overview of each: ### Intensive Properties Intensive properties are those that do not depend on the amount of substance present. These properties are intrinsic to the material and are characteristic of the substance itself. Some common examples include: - **Temperature**: The temperature of a substance does not change regardless of the size of the sample.

The Gan–Gross–Prasad conjecture is a conjecture in the realm of number theory and representation theory, specifically concerning the theory of automorphic forms and nilpotent orbits. Formulated by W. T. Gan, B. Gross, and D. Prasad in the early 2000s, the conjecture relates to the behavior of certain L-functions associated with automorphic representations of groups and has implications for the study of the branching laws of representations.

The Goss zeta function is a mathematical object that arises in the study of number theory and algebraic geometry, particularly in the context of function fields over finite fields. It is named after the mathematician David Goss, who introduced it while investigating the properties of zeta functions for function fields, similar to how the Riemann zeta function relates to number fields.

Hideo Shimizu may refer to a specific individual, but without additional context, it's difficult to determine the exact reference or significance. In general, Hideo Shimizu could be a name associated with various people in Japan, potentially in fields such as art, science, or culture.

Li's criterion is a mathematical result that gives conditions for the non-existence of solutions to certain types of differential equations, particularly for higher-order linear differential equations. It is named after the mathematician Li, Chen, and Zhang, who contributed to the understanding of oscillation theory in the context of differential equations. Specifically, in the context of second-order linear differential equations, Li's criterion can relate to the oscillatory behavior of solutions.

In number theory, a Standard L-function refers to a specific class of complex functions that are defined in relation to number theoretic objects such as arithmetic sequences, modular forms, or representations of Galois groups. They play a crucial role in various areas of mathematics, particularly in the study of primes, modular forms, and automorphic forms. Standard L-functions are generally associated with Dirichlet series that converge in specific regions of the complex plane.

Waldspurger's theorem is a result in number theory, particularly in the area of automorphic forms and representations. It establishes a deep connection between the theory of modular forms and the theory of automorphic representations of reductive groups. Specifically, the theorem describes the relationship between the Fourier coefficients of certain automorphic forms and special values of L-functions.

A Minimum Routing Cost Spanning Tree (MRST) is a type of spanning tree in a connected weighted graph that minimizes the total cost of routing, typically represented by the edge weights. In the context of networking or graph theory, this concept is particularly important when you want to ensure efficient communication or connectivity while minimizing costs associated with the connections between nodes.

Delaunay refinement is a computational geometry technique primarily used in the context of mesh generation. It aims to create a mesh composed of triangles (or tetrahedra in 3D) that satisfies certain optimality criteria, such as minimizing the maximum angle of the triangles (maximizing the minimum angle), and ensuring that the mesh conforms to specified geometric constraints of the underlying domain.

Rotation distance, also known as **tree rotation distance**, is a concept from computational biology and bioinformatics that quantifies the minimum number of rotation operations required to transform one binary tree into another. A binary tree can be defined as a tree structure where each node has at most two children referred to as the left and right child. A rotation operation involves changing the structure of the tree without altering its nodes.

In topology, triangulation refers to the process of dividing a topological space into simpler pieces called simplices, specifically triangles (in two dimensions), tetrahedra (in three dimensions), or their higher-dimensional analogues. This technique is often employed in the study of geometric structures and algebraic topology.