Happy LessonHappy Lesson is a comedy manga, written by Mutsumi Sasaki and illustrated by Shinnosuke Mori, serialized in Dengeki G's Magazine from April 1999 to September 2002, featuring a high school student who is adopted by five of his teachers. It was adapted into a five-part OVA series in 2001; a thirteen-episode animated TV series in 2002; a sequel TV series, called Happy Lesson Advance, in 2003; and a second OVA series, Happy Lesson: The Final, in 2004. The series has also been adapted into a series of drama CDs and a Dreamcast game.
A Lesson in RomanticsA Lesson in Romantics is the debut studio album by American rock band Mayday Parade. The band resulted from a merger of two separate bands, Kid Named Chicago and Defining Moment. In June 2006 the band released an EP, Tales Told by Dead Friends, which they sold to people by following the 2006 edition of Warped Tour and offering copies; it eventually sold 10,000 copies. The band signed to Fearless Records in August. A Lesson in Romantics was recorded in early 2007 with producers Zack Odom and Kenneth Mount.
Learning English, Lesson OneLearning English, Lesson One or Learning English, Lesson 1 (other punctuation variations possible) is a cover album by the German punk band Die Toten Hosen. The album includes covers of mostly British bands, which were big influences on the band. It is the first all-English album for Die Toten Hosen; the first English language studio album was released three years later. It made the band better known outside of German-speaking countries. The album features many guest stars, including Johnny Thunders, who died after recording "Born to Lose" for Learning English.
Nine Lessons and CarolsNine Lessons and Carols, also known as the Festival of Nine Lessons and Carols and Service of Nine Lessons and Carols, is a service of Christian worship traditionally celebrated on or near Christmas Eve. The story of the fall of humanity, the promise of the Messiah, and the birth of Jesus is told in nine short Bible readings or lessons from Genesis, the prophetic books and the Gospels, interspersed with the singing of Christmas carols, hymns and choir anthems.
Economics in One LessonEconomics in One Lesson is an introduction to economics written by Henry Hazlitt and first published in 1946. It is based on Frédéric Bastiat's essay Ce qu'on voit et ce qu'on ne voit pas (English: "What is Seen and What is Not Seen"). The "One Lesson" is stated in Part One of the book: "The art of economics consists in looking not merely at the immediate but at the longer effects of any act or policy; it consists in tracing the consequences of that policy not merely for one group but for all groups.
Sabbath SchoolSabbath School is a function of the Seventh-day Adventist Church, Seventh Day Baptist, Church of God (Seventh-Day), some other sabbatarian denominations, usually comprising a song service and Bible study lesson on the Sabbath. It is usually held before the church service on Saturday morning, but this may vary. It includes programs that are Bible based, to foster Christian growth. This period usually lasts for a period of 1 hour 40 minutes. During this time the "lesson study" is also conducted.
Hannah's Gift: Lessons from a Life Fully LivedHannah's Gift – Lessons From a Life Fully Lived is a non-fiction book by Maria Housden. Hannah's Gift tells the story of Hannah Catherine Martell, a young girl who was diagnosed with a rhabdoid tumor of the kidney, a rare and aggressive form of cancer, at age two and died at age three. The author, Maria Housden, is Hannah's mother, and the book documents her struggle to come to terms with her daughter's sickness and inevitable death while making changes in her own life. Hannah's Gift has been translated into 13 languages.
Number 13-class battleshipThe Number 13-class battleship was a planned class of four fast battleships to be built for the Imperial Japanese Navy (IJN) during the 1920s. The ships never received any names, being known only as Numbers 13–16. They were intended to reinforce Japan's "eight-eight fleet" of eight battleships and eight battlecruisers after the United States announced a major naval construction program in 1919. The Number 13 class was designed to be superior to all other existing battleships, planned or building.
Stokes' theoremStokes' theorem, also known as the Kelvin–Stokes theorem after Lord Kelvin and George Stokes, the fundamental theorem for curls or simply the curl theorem, is a theorem in vector calculus on . Given a vector field, the theorem relates the integral of the curl of the vector field over some surface, to the line integral of the vector field around the boundary of the surface. The classical theorem of Stokes can be stated in one sentence: The line integral of a vector field over a loop is equal to the flux of its curl through the enclosed surface.
Line integralIn mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve. The terms path integral, curve integral, and curvilinear integral are also used; contour integral is used as well, although that is typically reserved for line integrals in the complex plane. The function to be integrated may be a scalar field or a vector field. The value of the line integral is the sum of values of the field at all points on the curve, weighted by some scalar function on the curve (commonly arc length or, for a vector field, the scalar product of the vector field with a differential vector in the curve).
Surface integralIn mathematics, particularly multivariable calculus, a surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analogue of the line integral. Given a surface, one may integrate a scalar field (that is, a function of position which returns a scalar as a value) over the surface, or a vector field (that is, a function which returns a vector as value). If a region R is not flat, then it is called a surface as shown in the illustration.
Vector fieldIn vector calculus and physics, a vector field is an assignment of a vector to each point in a space, most commonly Euclidean space . A vector field on a plane can be visualized as a collection of arrows with given magnitudes and directions, each attached to a point on the plane. Vector fields are often used to model, for example, the speed and direction of a moving fluid throughout three dimensional space, such as the wind, or the strength and direction of some force, such as the magnetic or gravitational force, as it changes from one point to another point.
Conservative vector fieldIn vector calculus, a conservative vector field is a vector field that is the gradient of some function. A conservative vector field has the property that its line integral is path independent; the choice of any path between two points does not change the value of the line integral. Path independence of the line integral is equivalent to the vector field under the line integral being conservative. A conservative vector field is also irrotational; in three dimensions, this means that it has vanishing curl.
Multiple integralIn mathematics (specifically multivariable calculus), a multiple integral is a definite integral of a function of several real variables, for instance, f(x, y) or f(x, y, z). Integrals of a function of two variables over a region in (the real-number plane) are called double integrals, and integrals of a function of three variables over a region in (real-number 3D space) are called triple integrals. For multiple integrals of a single-variable function, see the Cauchy formula for repeated integration.
IntegralIn mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operations of calculus, the other being differentiation. Integration started as a method to solve problems in mathematics and physics, such as finding the area under a curve, or determining displacement from velocity. Today integration is used in a wide variety of scientific fields.
Leibniz integral ruleIn calculus, the Leibniz integral rule for differentiation under the integral sign states that for an integral of the form where and the integrands are functions dependent on the derivative of this integral is expressible as where the partial derivative indicates that inside the integral, only the variation of with is considered in taking the derivative. It is named after Gottfried Leibniz.
Vector calculusVector calculus, or vector analysis, is concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space The term "vector calculus" is sometimes used as a synonym for the broader subject of multivariable calculus, which spans vector calculus as well as partial differentiation and multiple integration. Vector calculus plays an important role in differential geometry and in the study of partial differential equations.
Complex lamellar vector fieldIn vector calculus, a complex lamellar vector field is a vector field which is orthogonal to a family of surfaces. In the broader context of differential geometry, complex lamellar vector fields are more often called hypersurface-orthogonal vector fields. They can be characterized in a number of different ways, many of which involve the curl. A lamellar vector field is a special case given by vector fields with zero curl. The adjective "lamellar" derives from the noun "lamella", which means a thin layer.
Green's theoremIn vector calculus, Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C. It is the two-dimensional special case of Stokes' theorem. Let C be a positively oriented, piecewise smooth, simple closed curve in a plane, and let D be the region bounded by C. If L and M are functions of (x, y) defined on an open region containing D and have continuous partial derivatives there, then where the path of integration along C is anticlockwise.
Parametric surfaceA parametric surface is a surface in the Euclidean space which is defined by a parametric equation with two parameters . Parametric representation is a very general way to specify a surface, as well as implicit representation. Surfaces that occur in two of the main theorems of vector calculus, Stokes' theorem and the divergence theorem, are frequently given in a parametric form. The curvature and arc length of curves on the surface, surface area, differential geometric invariants such as the first and second fundamental forms, Gaussian, mean, and principal curvatures can all be computed from a given parametrization.
