These include flowstones, stalactites, stalagmites, helictites, soda straws and columns.

where b and c are scalars, v is any vector of size n and I is the identity matrix of size n. These properties state that the determinant is an alternating multilinear function of the columns, and they suffice to uniquely calculate the determinant of any square matrix.

These include project ( the process of eliminating some of the columns ), restrict ( the process of eliminating some of the rows ), union ( a way of combining two tables with similar structures ), difference ( which lists the rows in one table that are not found in the other ), intersect ( which lists the rows found in both tables ), and product ( mentioned above, which combines each row of one table with each row of the other ).

These batch Spreadsheets dealt primarily with the addition or subtraction of entire columns or rows ( of input variables ), rather than individual cells.

These are postulated to comprise columns of hot material that rise from the core-mantle boundary.

These parody the format of supernatural and true-love British comics which were popular with young girl readers in the 1970s and 1980s, such as " Chiller " and " Jackie ", as well as the " real life dilemma " photo strips often found in the advice columns of tabloid newspapers.

These spiraling columns of air frequently develop in tropical areas close to the equator, and are less common at high latitudes.

These buildings featured an innovative structural design that freed the interiors from support columns in order to allow future alterations of their floor plans.

These columns, four in each row, are tall and in diameter at their base.

These cortical microcircuits are grouped into cortical columns and minicolumns, the latter of which have been proposed to be the basic functional units of cortex.

These instruments are all more or less elaborate developments of the " logical slate ", on which were written in vertical columns all the combinations of symbols or letters that could logically be made out of a definite number of terms.

These were crafted individually and served as supports for columns and water spouts.

These also are in artillery charge ; a divisional column is detailed to each division ( i. e. to replenish each set of brigade ammunition columns ), and the corps troops column supplies the columns attached to the heavy, howitzer and horse artillery brigades.

These ruins, for which the name Chehel minar (" the forty columns or minarets ") can be traced back to the 13th century, are now known as Takht-e Jamshid (" the throne of Jamshid ").

The courthouse for this sparsely populated remote county is remarkable in its formality … These include the giant Doric columns with fillets and bases, a pediment forming a projecting portico, a modillioned cornice, and pedimented side dormers .” ( p. 481 )

These mainstream gossip columns provide a light, chatty glimpse into the private lives and misadventures of the rich and famous.

These volcanic explosions produce vertical columns of rock that rise from deep magma reservoirs.

These decompositions are particularly useful for matrices that are envisioned as concatenations of particular types of row vectors or column vectors, e. g. orthogonal matrices ( whose rows and columns are unit vectors orthogonal to each other ) and Markov matrices ( whose rows or columns sum to 1 ).

These platforms have hulls ( columns and pontoons ) of sufficient buoyancy to cause the structure to float, but of weight sufficient to keep the structure upright.

These columns were collected and published in the book Longitudes and Attitudes.

These columns were collected into a series of books: Let's Parler Franglais, Let's Parler Franglais Again !, Parlez-vous Franglais ?, Let's Parler Franglais One More Temps, The Franglais Lieutenant's Woman and Other Literary Masterpieces.

These men were joined by Colonel Zepeda's troops from El Salvador, and some columns of Honduran volunteers in Choluteca, Honduras.

These yearbooks closely resemble those found in the US, with columns about certain themes, in-depth coverage of major events and large collections of photo's and drawings reflecting daily life at these schools.

These were the ones Keith sought out -- the loners, the ones who killed for the joy of it, like himself.

These were the last words he ever uttered.

These two were going to be easy pickins.

These performances were being staged at historical monuments throughout Europe.

These were Oneida Indians.

These conceptions and the manner in which they were transposed into poetry or engendered by poetic form are intrinsic to western life from the time of Aeschylus to that of Shakespeare.

These basic ideas concerning the nature of religion were, Adams believed, some of the major keys to the understanding of history and the movement of society.

These were his public academic activities, domi forisque, in the college and in the university.

These early experiments were evidently not altogether satisfying to Patchen.

These people were not talking much about it, but you, a foreigner, sensed their apprehension and disappointment.

These public efforts were rare because Mr. Rayburn normally did his counseling, persuading and educating long before an issue reached its test on the House floor.

These microfossils indicate the swamp was `` formed during the Lower Cretaceous period when dinosaurs were at their heyday and when the first flowering plants were just appearing.

These were heroes nine feet tall to him ''.

These little songs, however, were sweet nothings from the heart, tender memories of his childhood, little melodies that anyone could hum and that would make one want to weep.

These were the ships of His Majesty's Navy, herding the hulks of the East Indies merchants and the yachts and ketches of the loyalists.

These trumps were more touching than they were anything else, and seemed to imply that the nights were long, her children ungrateful, and her marriage bewilderingly threadbare.

These were selected carefully and included not only detailed clinical information but adequate pathology of value for research and educational purposes.

These amendments to the Vocational Rehabilitation Act were designed to help provide for more specialized rehabilitation facilities, for more sheltered and `` half-way '' workshops, for greater numbers of adequately trained personnel, for more comprehensive services to individuals ( particularly to the homebound and the blind ), and for other administrative improvements to increase the program's overall effectiveness.

These plans, like Du Pont's, contained provisions for passing the vote on Du Pont's General Motors shares on to the ultimate stockholders of Du Pont, Christiana, and Delaware, except that officers and directors of the three companies, their spouses, and other people living in their households, as well as other specified persons, were to be totally disenfranchised.

These curves were derived by an analysis of extensive skywave measurement data.

These were educated men, who, as Mr. Justice Holmes was fond of saying, formed their inductions out of experience under the burden of responsibility.

These boys acknowledged an introduction to anybody by gently pressing one of his hands in both of theirs, while they gazed, misty-eyed with care, into the eyes of the person they were meeting.