Initially a study of systems of polynomial equations in several variables, the subject of algebraic geometry starts where equation solving leaves off, and it becomes even more important to understand the intrinsic properties of the totality of solutions of a system of equations, than to find a specific solution ; this leads into some of the deepest areas in all of mathematics, both conceptually and in terms of technique.

If sugars are heated so that all water of crystallisation is driven off, then caramelization starts, with the sugar undergoing thermal decomposition with the formation of carbon, and other breakdown products producing caramel.

When a machine starts sending out too many scans, it is a sign that it has been infected, allowing administrators to take it off line and check it for malware.

The board starts off with a portion of the map left blank: when players expand into the blank region, terrain hexes are drawn at random from a supply and placed in the empty space, and, if a land hex is " discovered ", a number token may be assigned.

Before Lanier took over, fans were accustomed to Houston's occasional slow starts, but with Lanier leading the way, Houston got off to a hot start, winning 13 of their first 19 contests.

His The Histories starts in 264 BC and finishes off in 146 BC.

During glottal closure, the air flow is cut off until breath pressure pushes the folds apart and the flow starts up again, causing the cycles to repeat.

When the male springbok is showing off his strength to attract a mate, or to ward off predators, he starts off in a stiff-legged trot, jumping up into the air with an arched back every few paces and lifting the flap along his back.

However, back-up quarterback Mike Livingston of Southern Methodist University fame engineered five wins of the next six starts, with Dawson coming off the bench in the second half of the sixth to clinch the win.

She starts off her speech by giving a little background about her own life.

The song starts off with a heavy crescendo of woodwinds and low strings playing the famous Tomb Raider melody, and then breaks off into an almost playful arc, featuring parts of the harp composition from the Tomb Raider theme.

The hop starts with the athlete jumping from the take off board on one leg, which for descriptive purposes will be the right leg.

Every subsequent round starts with the " strongest link "— the player with the most correct answers — from the previous round, unless that person has been voted off, in which case the second strongest answers first.

Estragon wants to hear an old joke about a brothel, which Vladimir starts but cannot finish, as he is suddenly compelled to rush off and urinate.

* November 15 – American Civil War – Sherman's March to the Sea begins: Union General Sherman burns Atlanta and starts to move south, causing extensive devastation to crops and mills and living off the land.

The festival on the Azores biggest island starts off with a black tie grand ball, then and heats up with Latin music at the recently restored Coliseu Micaelense.

In the PS1 game Final Fantasy IX, the lead protagonist, Zidane, starts off travelling with a group of thieves called Tantalus.

The game starts off with simple training levels, where you are told how to play and how to get around the first corners.

It starts off with a grant of land, at Peppering, by Nunna to Berhfrith probably for the foundation of a minster.

** MAG: Massive Action Game ( 2010 ) The second war of the S. V. E. R starts off in 2020

Vertical, from top to bottom, in the first column, Cardine starts off with neumes representing a single note, then two -, three-and four-note groups and many compound neumes and ornamental neumes.

The TDMA frame starts off with a 20. 32 ms period used for simplex messaging to devices such as pagers and to alert Iridium phones of an incoming call, followed by the four upstream slots and four downstream slots.

Each chapter starts with a text which serves the idea of the writer and other texts are introduced to confirm his points.

The next chapter, That Place, starts zooming out from a waterfall.

A Commentary on the Unix Operating System starts with notes on Unix and other useful documentation ( the Unix manual pages, DEC hardware manuals and so on ), a section on the architecture of the PDP-11 and a chapter on how to read C programs.

One of the most important references to the Cārvāka philosophy is the Sarva-darśana-saṅgraha ( etymologically all-philosophy-collection ), a famous work of 14th century Advaita Vedanta philosopher Mādhava Vidyāraṇya from South India, which starts with a chapter on the Cārvāka system.

on January 21, 1776 in the Lutheran church in Woodstock, Virginia, Reverend Muhlenberg took his sermon text from the third chapter Ecclesiastes, which starts with " To every thing there is a season ..."; after reading the eighth verse, " a time of war, and a time of peace ," he declared, " And this is the time of war ," removing his clerical robe to reveal his Colonel's uniform.

( 1807 – 1867 ), in his book " A word on death " contains a chapter entitled " Mortal sin " starts with the following passage:

In the genre of a slightly modified historical novel ( inverted narration and chapter lay-out ), this novel is a chronicle of a Dubrovnik family, but it also covers parts of Herzegovina and Bosnia, as well as some other European cities, while in terms of period it starts with the Austro-Hungarian occupation of Bosnia and Herzegovina in 1878, covers the downfall of the two empires, the two world wars, the rise and fall of socialism and ends just before the war of 1991.

Since " living water " in a lifeless frozen state ( as ice ) is still likely to again become living water ( after melting ), it became customary in traditional Jewish bereavement rituals to read the seventh chapter of the Mikvaot tractate in the Mishnah, following a funeral ; the Mikvaot tractate covers the laws of the mikveh, and the seventh chapter starts with a discussion of substances which can be used as valid water sources for a mikveh-snow, hail, frost, ice, salt, and pourable mud.

Tuchman starts the " Battle " section by covering the search by Allied naval forces for the German battlecruiser in the Mediterranean ( chapter 10, at ).

She shows she has a crush on him in Volume 4 chapter 26, she starts to tell Densuke that if she was Chiharu's age she would go out with him.

The novel starts with the first chapter, " Wild Palms ", and continues, alternating the two stories chapter by chapter, until ending with the final chapter, " Old Man ".

IFO ( information ) files contain all the information a DVD player needs to know about a DVD so that the user can navigate and play all DVD content properly, such as where a chapter starts, where a certain audio or subtitle stream is located, information about menu functions and navigation.

* The Future of Payment Systems-discussion paper by Bernard Lietaer ( the chapter on Complementary Currency Systems starts on page 23 )

Fyodor Konstantinovitch Cherdyntsev is a Russian émigré living in Berlin in the 1920s, and the chapter starts with him moving to a boardinghouse on Seven Tannenberg Street.

This chapter starts with Rayona waking up in the morning after the events that transpired the previous day.

The chapter starts when Christine expected for the world to end.

The chapter starts out with a dream about the narrator being pushed out the window by her much younger lover Martin.

The second chapter starts with the husband now knowing what his wife was doing behind his back.

The chapter initially starts with Sylvester and Twan in Sylvester's car though it is not clear at first where they are going.