1 is a number, a numerical digit used to represent that number in numerals. It represents the unit of counting or measurement. For example, a line segment of unit length is a line segment of length 1. 1 is the smallest positive integer. It is sometimes considered the first of the infinite sequence of natural numbers, followed by 2, although by other definitions 1 is the second natural number, following 0; the fundamental mathematical property of 1 is to be a multiplicative identity, meaning that any number multiplied by 1 returns that number. Most if not all properties of 1 can be deduced from this. In advanced mathematics, a multiplicative identity is denoted 1 if it is not a number. 1 is by convention not considered a prime number. The word one can be used as an adjective and a pronoun, it comes from the English word an ainaz. The Proto-Germanic root *ainaz comes from the Proto-Indo-European root *oi-no-. Compare the Proto-Germanic root *ainaz to Old Frisian an, Gothic ains, Danish en, Dutch een, German eins and Old Norse einn.

Compare the Proto-Indo-European root *oi-no- to Greek oinos, Latin unus, Old Persian aivam, Old Church Slavonic -inu and ino-, Lithuanian vienas, Old Irish oin and Breton un. One, sometimes referred to as unity, is the first non-zero natural number, it is thus the integer after zero. Any number multiplied by one remains that number; as a result, 1 is its own factorial, its own square and square root, its own cube and cube root, so on. One is the result of the empty product, as any number multiplied by one is itself, it is the only natural number, neither composite nor prime with respect to division, but instead considered a unit. The glyph used today in the Western world to represent the number 1, a vertical line with a serif at the top and sometimes a short horizontal line at the bottom, traces its roots back to the Brahmic script of ancient India, where it was a simple vertical line, it was transmitted to Europe via Arabic during the Middle Ages. In some countries, the serif at the top is sometimes extended into a long upstroke, sometimes as long as the vertical line, which can lead to confusion with the glyph for seven in other countries.

Where the 1 is written with a long upstroke, the number 7 has a horizontal stroke through the vertical line. While the shape of the 1 character has an ascender in most modern typefaces, in typefaces with text figures, the character is of x-height, as, for example, in. Many older typewriters do not use the lowercase letter l instead, it is possible to find cases when the uppercase J is used. Mathematically, 1 is: in arithmetic and calculus, the natural number that follows 0 and the multiplicative identity element of the integers, real numbers and complex numbers. Formalizations of the natural numbers have their own representations of 1. In the Peano axioms, 1 is the successor of 0, in Principia Mathematica it is defined as the set of all singletons, in the Von Neumann cardinal assignment of natural numbers it is defined as the set. In a multiplicative group or monoid, the identity element is sometimes denoted 1, but e is traditional. However, 1 is common for the multiplicative identity of a ring, i.e. when an addition and 0 are present.

When such a ring has characteristic n not equal to 0, the element called 1 has the property that n1 = 1n = 0. Important examples are finite fields. By definition, 1 is the magnitude, absolute value, or norm of a unit complex number, unit vector, a unit matrix. Note that the term unit matrix is sometimes used to mean something quite different. By definition, 1 is the probability of an event, certain to occur. In category theory, 1 is sometimes used to denote the terminal object of a category. In number theory, 1 is the value of Legendre's constant, introduced in 1808 by Adrien-Marie Legendre in expressing the asymptotic behavior of the prime-counting function. Legendre's constant was conjectured to be 1.08366, but was proven to equal 1 in 1899. Tallying is referred to as "base 1", since only one mark – the tally itself – is needed; this is more formally referred to as a unary numeral system. Unlike base 2 or base 10, this is not a positional notation. Since the base 1 exponential function always equals 1, its inverse does not exist.

There are two ways to write the real number 1 as a recurring decimal: as 1.000... and as 0.999.... 1 is the first figurate number of every kind, such as triangular number, pentagonal number and centered hexagonal number, to name just a few. In many mathematical and engineering problems, numeric values are normalized to fall within the unit interval from 0 to 1, where 1 represents the maximum possible value in the range of parameters. Vectors are normalized to give unit vectors, vectors of magnitude one, because these have more desirable properties. Functions, are normalized by the condition that they have integral one, maximum value one, or square integral one, depending on the application; because of the multiplicative identity, i

Alyssa A. Goodman

Alyssa Ann Goodman is the Robert Wheeler Willson Professor of Applied Astronomy at Harvard University, co-Director for Science at the Radcliffe Institute for Advanced Study, Research Associate of the Smithsonian Institution, the founding director of the Harvard Initiative in Innovative Computing. Goodman's research is conducted at the Harvard-Smithsonian Center for Astrophysics in Cambridge, Massachusetts where she studies the dense gas between stars. In particular, her research interest is on. Goodman is a principal investigator of the COMPLETE Survey of Star-Forming Regions, which maps out three large star-forming regions in the galaxy in their entirety. Goodman's personal research presently focuses on new ways to visualize and analyze the tremendous data volumes created by large and/or diverse astronomical surveys, she has worked with Curtis Wong and Jonathan Fay on the Microsoft WorldWide Telescope project at Microsoft Research and the American Astronomical Society to create, open-source, enhance the use of the WorldWide Telescope, a computer program offering a virtual online universe to researchers and educators.

Goodman was named “Scientist of the Year” by the Harvard Foundation in 2015. She has served on several data-related institutional and government advisory committees, including the National Academy's Board on Research Data and Information, the NSF-sponsored Council on Big Data and Society. From 2008 to 2009, Goodman was a "Scholar-in-Residence" at WGBH. A native of New York, Goodman attended Herricks High School in New York, she received her B. S. in Physics from the Massachusetts Institute of Technology in 1984. She continued her education at Harvard University receiving a Ph. D in Physics in 1989. Bok Prize, Harvard Newton Lacy Pierce Prize in Astronomy from the American Astronomical Society Harvard Foundation's 2015 Scientist of the Year Official website

Dustin Lind

Dustin Lind is an American professional baseball coach. He is the director of hitting and assistant hitting coach for the San Francisco Giants of Major League Baseball. Lind's hometown is Montana, he attended Florence-Carlton High School in Florence, graduating in 2007. Lind attended Montana State University-Billings where he played college baseball as an outfielder, before injuries ended his playing career there, he transferred to Idaho State University, where he played club baseball. He graduated from ISU in 2014 with a degree in exercise science. Lind earned his doctorate in physical therapy from the University of Montana in 2017. In 2019 he received the ISU Young Alumni Award. From 2014–17, Lind worked as an independent hitting consultant working with MLB and minor league players, he worked as an outpatient orthopedic physical therapist in Montana. Lind was hired by the Seattle Mariners and served as a minor league quality assurance coach in 2018. In 2019, he worked as the Mariners director of hitting development and strategies on the major league coaching staff, working with hitters, hitting coaches, analysts to optimize hitting development and performance.

On December 11, 2019, Lind was hired by the San Francisco Giants as their director of hitting and assistant hitting coach. Montana State Billings Yellowjackets bio "Dustin Lind Interview," January 9, 2018