A symbolical Logic, treated by my algebraic method.
Defn: The quotient of two vectors, or of two directed right lines in space, considered as depending on four geometrical elements, and as expressible by an algebraic symbol of quadrinomial form.
Same as Algebraic curve; -- so called because their different points may be constructed by the operations of elementary geometry.
Defn: A rule or principle expressed in algebraic language; as, the binominal formula.
Transcendental functions, a quantity whose connection with the variable cannot be expressed by algebraic operations; thus, y in the equation y = 10x is a transcendental function of x.
Either of the two parts of an algebraic equation, connected by the sign of equality.
Defn: That can be passed over in a single course; -- said of a curve when the coördinates of the point on the curve can be expressed as rational algebraic functions of a single parameter th.
Defn: To change, as an algebraic expression or geometrical figure, into another from without altering its value.
In circuits having both inductance and capacity, the tangent of the angle of lag or lead as the case may be is the algebraic sum of the two reactances divided by resistance.
The total power transmitted is then the algebraic sum of the readings of the two wattmeters.
B and C are flowing towards the centre, and are each of half the magnitude of the current in A; the algebraic sum of the currents is therefore zero, and this will also be the case for all other instants.
In every month the algebraic mean of the 24 hourly values represented a current from north to south in the magnetic meridian, and from east to west in the perpendicular direction; in the same arbitrary units used in Table I.
In 1637, he invented analytic [Cartesian] geometry, in which lines and geometric shapes can be described by algebraic equations and vice-versa.
An algebraic equation with two unknowns, could be represented as a shape thereon.
The points of intersection geometrically were equivalent to the common solution of the associated algebraic equations.
There it was constantly, and translated itself into Latin, conjugated and declined itself, and then became compound algebraic equations, with both.
But Mike's restlessness increased: he fidgeted and shuffled about in his chair, shook the table, and tried all kinds of positions to help him in solving his algebraic problem, but without avail.
Three algebraic signs, x, y, and z, are co-ordinated with the three variable dimensions of space.
Again, having divided the calculus into algebraic and arithmetical, M.
Comte admits, as perforce he must, that the algebraic is more general than the arithmetical; yet he will not say that algebra preceded arithmetic in point of time.
It is like the algebraic x--a symbol for something that exists, but not the thing itself.
But in addition to the difficulties of the theory of algebraic surfaces, a subject still in its infancy, the theory of congruences has other difficulties in that a congruence is seldom completely represented, even by two equations.
The coordinates (x, y) of a variable point are algebraic variables, and are said to be "current coordinates.
It can be proved that the order of the numbers in algebraic order of magnitude agrees with the order on the line of the associated points.
The genesis of such relations from algebraic identities is very simple.
Analytical Geometry: the representation of geometrical figures and their relations by algebraic equations.
DX Conversely, if a metrical relation be given, its validity may be tested by reducing to analgebraic equation, which is an identity if the relation be true.
Their true significance is best seen by stating them in analgebraic form.
But in Diophantus's arithmetic quadratics are solved by the use of algebraic symbols.
The arithmetical textbook of Diophantus, which is extant, is remarkable as being the first to contain a complete exposition of algebra and the use of algebraic symbols and methods.
And in ether, just as in water, the motion of every particle is the algebraic sum of all the separate motions imparted to it.
Now, no matter how numerous these waves may be, the law holds good that the motion of every particle of the water is the algebraic sum of all the motions imparted to it.
The whole secret is that I used the equivalent algebraic formula, but suppressed the working in order to puzzle you," and the voice laughed sweetly.
The algebraic formula never occurred to me when I worked the problem out, and it took me two days to do.
The pleasure of intellectual exercise in demonstrating or analyzing a geometrical problem, or solving analgebraic equation, seemed to be your only object.
In the above algebraic expression brackets and parentheses are used conventionally to group the letters (algebraic symbols) which they respectively enclose.
And he overcame that lie by knowing the truth--just as you overcome the thought that you cannot solve your algebraic problems by knowing the truth that will and does solve them.
As Carmen approached her simple algebraic problems Josè saw the working of a rule infinite in its adaptation.
The computations are, as a general rule, simpler, and the algebraic expressions less complex, than when the computations of the longitude itself are calculated.
Knowing these variations it becomes possible to represent by integration the value of the elements as algebraic expressions containing the time, and the elements with which we started.
The algebraic sum of such departures may, with the lapse of time, come to be by no means insignificant, yet no individual may have exercised in any considerable degree conscious reflection or shown in any large measure freedom of choice.
A disagreeable taste and an agreeable odor may be experienced together, but they cannot be treated as an algebraic sum.
This philosopher first applied the algebraic analysis to the solution of geometrical problems; and in this brilliant discovery lay the germ of a sudden growth of interest in the pure mathematics.
But passing over all ingenious mechanism, making no mention here of astronomical discoveries, some of them surprising enough, it is especially for the Algebraic analysis that we must thank the Moors.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "algebraic" in a variety of sentences. We hope that you will now be able to make sentences using this word. Other words: analytic; analytical; arithmetical; mathematical; numeric; numerical
