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 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 systems are more expensive than year-'round forced air systems.

These air or gas bubbles make highly functional thermal barriers.

These are then closed with valves and the air is forced into the lungs by contraction of the throat.

These variations included barrel wear, propellant temperature, different projectiles weights that all affected the muzzle velocity, and air temperature, density, wind speed & direction and rotation of the earth that affect the shell in flight.

These included, among others, the "... saints who live on rays which moon and daystar give " and " those ... whose food the wave of air supplies ".

These five are earth, water, fire, wind / air, and void.

These writers point to the tambour hooks used in tambour lace | tambour embroidery in France in the 18th century, and contend that the hooking of loops through fine fabric in tambour work evolved into " crochet in the air.

These ideas apply to air flight as well.

These were the ETS 300-175 series in 9 parts defining the air interface, and ETS 300-176 defining how the units should be type approved.

These include things like the maintenance of hydrological cycles, cleaning air and water, the maintenance of oxygen in the atmosphere, crop pollination and even things like beauty, inspiration and opportunities for research.

These missions have also investigated air density, radio astronomy, geodesy, and gamma ray astronomy.

These changes soon paid dividends, as the Allied ability to deny Japan air superiority was critical to their victories at Coral Sea, Midway, Guadalcanal and New Guinea.

These may be powered by air, hydraulics, or mechanics.

These were constructed with the aid of compressed air caissons and hydraulic rams, both innovative techniques at the time.

These jets were seen as necessary to beef up Indian air strength so that air to air combat could be initiated safely from the Indian perspective ( bombing troops was seen as unwise for fear of Chinese retaliatory action ).

These systems have continued to advance, and modern air warfare consists almost entirely of missile firing.

These used " bird's eye " projections to emphasise globally strategic " fronts " in the air age, pointing out proximities and barriers not apparent on a conventional rectangular projection of the world.

These cycles include those of matter ( such as the carbon cycle ) and of air ( such as Earth's respiration, and movement of energy through ecosystems including the ocean ).

These towers couple heat transfer to mass transfer by allowing hot water to flow in contact with hotter air and evaporate as it absorbs heat from the air.

These schools along with a related California movement were also known as En plein air.

These Allied ground forces in Korea were frequently outnumbered, and greatly, by their Chinese and North Korean attackers, but the U. S. Air Force and the U. S. Navy naval aviators had control of the air over nearly all of the Korean Peninsula.

These vibrations are transmitted through a bridge to a sounding board that more efficiently couples the acoustic energy to the air.