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abc

Another series of instruments, introduced by Cooke and Wheatstone in 1840, and generally known as " Wheatstone's step-by-step letter-showing " or " ABC instruments," were worked out with great ingenuity of detail by Wheatstone in Great Britain and by Breguet and others in France.

Such an expression as a l b 2 -a 2 b i, which is aa 2 ab 2 aa x 2 2 ax1' is usually written (ab) for brevity; in the same notation the determinant, whose rows are a l, a 2, a3; b2, b 2, b 3; c 1, c 2, c 3 respectively, is written (abc) and so on.

We can see that (abc)a x b x c x is not a covariant, because it vanishes identically, the interchange of a and b changing its sign instead of leaving it unchanged; but (abc) 2 is an invariant.

The Hessian is symbolically (abc) 2 azbzcz = H 3, and for the canonical form (1 +2m 3)xyz-m 2 (x 3 +y 3 +z 3).

It is remarkable that Mobius employs the symbols AB, ABC, Abcd In Their Ordinary Geometrical Sense As Lengths, Areas And Volumes, Except That He Distinguishes Their Sign; Thus Ab = Ba, Abc= Acb, And So On.

3 the curve of brightness for one component is ABC, and for the other OA'C'; and the curve representing half the combined brightnesses is E'BE.

Take any two arbitrary directions in the plane of the paper, and draw a small isosceles triangle abc, whose sides are perpendicular to the two directions, and consider the equilibrium of a small triangular prism of fluid, of which the triangle is the cross section.

A scalene triangle abc might also be employed, or a tetrahedron.

If at any points of a vortex line the cross-section ABC, A'B'C' is drawn of the vortex filament, joined by the vortex line AA', then, since the flow in AA' is taken in opposite directions in the complete circuit ABC AA'B'C' A'A, the resultant flow in AA' cancels, and the circulation in ABC, A'B'C' is the same; this is expressed by saying that at all points of a vortex filament wa is constant where a is the cross-section of the filament and w the resultant spin (W.

= constant, _ ff 00 NdA N BA-AA X - JA (a' +X) (b 2 +A)P - abc' a2 -b2 ' and at the surface A = o, I I N Bo-A 0 N I R - (a2+b2) abc a 2 -b 2 abc a2b2 I /b 2 N = R I /b2 - I /a2 abc I 1 I Bo - AO' a 2 b 2 - a2 b2 a 2 b2 = R (a 2 - b 2) /(a 22 + /b2) 2 - r (B o - Ao) U Bo+Co - B I - CI' Since - Ux is the velocity function for the liquid W' filling the ellipsoid A = o, and moving bodily with it, the effective inertia of the liquid in the interspace is Ao+B1+C1 Bo+Co - B1 - C, If the ellipsoid is of revolution, with b=c, - 2 XBo - - C BI' and the Stokes' current function 4, can be written down (I) is (5) (7) (6) The velocity function of the liquid inside the ellipsoid A=o due to the same angular velocity will be = Rxy (a2 - b2)/(a2 + b2), (7) and on the surface outside _ N Bo -Ao c1)0xy abc 2 62' so that the ratio of the exterior and interior value of at the surface is ?o= Bo-Ao (9) 4)1 (a 2 -6 2)/(a2 + b) - (Bo - Ao)' and this is the ratio of the effective angular inertia of the liquid, outside and inside the ellipsoid X = o.

The extension to the case where the liquid is bounded externally by a fixed ellipsoid X= X is made in a similar manner, by putting 4 = x y (x+ 11), (io) and the ratio of the effective angular inertia in (9) is changed to 2 (B0-A0) (B 1A1) +.a12 - a 2 +b 2 a b1c1 a -b -b12 abc (Bo-Ao)+(B1-A1) a 2 + b 2 a1 2 + b1 2 alblcl Make c= CO for confocal elliptic cylinders; and then _, 2 A? ?

ABC is a quadrant in which the line AB and the arc AC are divided into the same number of equal parts.

If now we cut the freezing-point surface by planes parallel to the base ABC we get curves giving us all the alloys whose freezing-point is the same; these isothermals can be projected on to the plane of the triangle and are seen as dotted lines in fig.

SA are taken in the cyclical order of the points ABC. ..

Also, let angle ABC =7r - 0, angle BCD =ir - 4, angle between BC and AD = G.

If now the curve moves along unchanged in form in the direction ABC with uniform velocity U, the epoch e =OA at any time t will be Ut, so that the value of y may be represented as 2 y=a sin T (x - Ut).

6, ABC is an isosceles triangle right D FIG.

It is easily shown that the areas of the lune Adbea and the triangle ABC are equal.

7, ABC is any triangle 1 Eisenlohr, Ein math.

right angled at C, semicircles are described on the three sides, thus forming two lunes Afcda and Cgbec. The sum of the areas of these lunes equals the area of the triangle ABC.] As for Euclid, it is sufficient to recall the facts that the original author of prop. 8 of book iv.

Let us imagine unit mass of solution of volume V confined in a cylinder ABC between a fixed vapour sieve B and a solid piston A A B C FIG.

2, in which the ordinates of the line ABC represent the percentage of pearlite corresponding to each percentage of carbon, and the intercept ED, MN or KF, of any point H, P or L, FIG.

hastening its cooling by casting it in a cool mould, favours the formation of cementite rather than of graphite in the freezing of the eutectic at aBc, and also, in case of hyper-eutectic iron, in the passage through region 3.

Aziz AbC MansCr Nizar (al-Aziz billgh), 365386 (975-996).

Malik al-Adi~ Saif al-din AbC Bakr, 596615 (1199-1218).

By adjusting the right ascension of the plane ABC and rotating the axis with the angular velocity of the sun, it follows that BC will be the direction of the solar rays throughout the day.

the centre of the circle ABC, through an angle AJB.

Thus if the three lines form a triangle ABC, and if the given force F meet BC in H, then F can be resolved into two components acting in HA, BC, respectively.

Hence in trilinear co-ordinates, with ABC as fundamental triangle, its equation is Pa+Q/1+R7=o.

Let J be the pole of the circle ABC

If we construct a, the spherical triangles ABC,

The spherical triangles ABC, ABC

about OA, OB, OC, respectively, is to leave the body in its original position, provided the circuit ABC is left-handed as seen from 0.

The two forces at B will cancel, and we are left with a couple of moment P.AC in the plane AC. If we draw three vectors to represent these three couples, they will be perpendicular and proportional to the respective sides of the triangle ABC; hence the third vector is the geometric sum of the other two.

be situate at the vertices of a triangle ABC, the mass-centre of ~ and y is at a point A in BC, such that ~.

also, by giving suitable values (positive or negative) to the ratios a :7 we can make G assume any assigned position in the plane ABC. We have here the origin of the barycentric co-ordinates of MObius, now usually known as areal co-ordinates.

For if in the triangle abc the side ab is taken so as to represent on a given scale the tension of the surface of contact of the fluids a and b, and if the other sides be and ca are taken so as to represent on the same scale the tensions of the surfaces between b and c and between c and a respectively, then the condition of equilibrium at 0 for the corresponding tensions R, P and Q is that the angle ROP shall be the supplement of abc, POQ of bca, and, therefore, QOR of cab.

If four fluids, a, b, c, d, meet in a point 0, and if a tetrahedron AB CD is formed so that its edge AB represents the tension of the surface of contact of the liquids a and b, BC that of b and c, and so on; then if we place this tetrahedron so that the face ABC is normal to the tangent at 0 to the line of concourse of the fluids abc, and turn it so that the edge AB is normal to the tangent plane at 0 to the surface of contact of the fluids a and b, then the other three faces of the tetrahedron will be normal to the tangents at 0 to the other three lines of concourse of the liquids, an the other five edges of the tetrahedron will be normal to the tangent planes at 0 to the other five surfaces of contact.

It is generated as follows: Let ABC be a circle having AB for a diameter.

If the right-angled triangle abc, fig.

In order to explain the Peltier effect, Kohlrausch further assumes that an electric current, C, carries a heatflow, Q= ABC, with it, where " A is a constant which can be made equal to unity by a proper choice of units."

- Germinating pollengrain of Epilobium (highly mag.) bearing a pollen-tube s; e, exine; intine; abc, the three spots where the exine is thicker in anticipation of the formation of the pollen-tube developed in this case at a.

Be adding a hold 'em but always asked the ABC.

ABC channel Detroit news money eagerly refunded!

ABC notation will tend to mirror the grouping which would be used in standard notation.

It was devised by Chris Walshaw, and one of the best places to start learning about ABC is my abc tutorial page.

ABC specification are described on the third page of this tutorial.

ABC channel news like being here.

On june harrah's be played at media company focused hbo espn ABC.

With the blinds was impatiently waiting anchor ABC edgar.

For example, there are a total of four character breaks in the string ABC.

In more general terms, the bells ABC have been transposed into cab.

Additional engineers for three aces straight of things to saysbut ABC officials.

Different color beads letters for each had three aces anchor ABC carl.

But the pressure anchor abc carl branded consumer products.

checkout operators keep asking me, " Have you got an ABC card?

ABC SURVEY 2004/05 3. The external auditors have visited the constabulary to inspect both the activity analysis and finance elements of the 2004/05 survey.

Enter ABC def using local cursor motions (not spaces) between the abc and the def.

Measure the benefits nd million rd anchor abc Edgar.

With the blinds was impatiently waiting anchor abc Edgar.

Contact ABC Computer Services to ensure data is securely erased.

feigned unconsciousness, and was checked for ABC (airway, breathing, circulation ).

fifty1979, ABC made two mistakes: Laverne & Shirley moved out of the fabulous Fifties and into the Swinging Sixties.

In the morning class we relied predominantly on the use of ABC, color and number flashcards, songs and games.

Gordon a. The site contains hbo espn abc.

A quick word about hornpipes The hornpipe rhythm is useful to illustrate one more way abc allows the notation of notes of differing length.

subsequent invocation of ` next ' will result in ` abc ' being returned to the top level caller.

kill off the unwanted ABC Warriors.

lured away from the show with an offer to do his own series on rival ABC.

There are several factors which can increase response rates in Activity Sampling: ABC is now mandatory.

ABC Electronics, the online version of the print media auditors has had more success in winning mindshare of the industry.

RB-1 protein was studied in bone marrow plasma cells by immunocytochemistry (ABC peroxidase technique) with a specific monoclonal antibody.

I abc 10 news san diego look the mountebank?

I agree that a unified nomenclature of human ABC transporters would be very useful.

The spacing of ABC notation will tend to mirror the grouping which would be used in standard notation.

offshoot band The Raconteurs at Glasgow's ABC.

Pearlman also had a bitter parting with the group O-Town that was documented on the ABC show Making the Band.

From this general perspective, ABC for a Marxist, he contrives however to make a recipe of temporizing passivity and national nihilism.

Structural basis for substrate recognition by ABC transporters involved in the export of bacterial cell-surface polysaccharides.

Unperturbed by this notoriously rough ride in the TV milieu, Lynch made Mulholland Drive for ABC as the pilot for a new series.

Feel free to check out the full rundown of figures for yourself, over at ABC's website.

temporizeis general perspective, ABC for a Marxist, he contrives however to make a recipe of temporizing passivity and national nihilism.

A (possibly slightly tongue-in-cheek) example of abc notation in all its multi-faceted glory.

Female respondents were on the whole not ungenerous in their estimations of Australianness as broadcast on the ABC.

Another series of instruments, introduced by Cooke and Wheatstone in 1840, and generally known as " Wheatstone's step-by-step letter-showing " or " ABC instruments," were worked out with great ingenuity of detail by Wheatstone in Great Britain and by Breguet and others in France.

Such an expression as a l b 2 -a 2 b i, which is aa 2 ab 2 aa x 2 2 ax1' is usually written (ab) for brevity; in the same notation the determinant, whose rows are a l, a 2, a3; b2, b 2, b 3; c 1, c 2, c 3 respectively, is written (abc) and so on.

determinant factors (abc), (abd), (bce), etc...., and other factors az, bx, cx,...

We can see that (abc)a x b x c x is not a covariant, because it vanishes identically, the interchange of a and b changing its sign instead of leaving it unchanged; but (abc) 2 is an invariant.

The simplest invariant is S = (abc) (abd) (acd) (bcd) cf degree 4, which for the canonical form of Hesse is m(1 -m 3); its vanishing indicates that the form is expressible as a sum of three cubes.

The Hessian is symbolically (abc) 2 azbzcz = H 3, and for the canonical form (1 +2m 3)xyz-m 2 (x 3 +y 3 +z 3).

It is remarkable that Mobius employs the symbols AB, ABC, Abcd In Their Ordinary Geometrical Sense As Lengths, Areas And Volumes, Except That He Distinguishes Their Sign; Thus Ab = Ba, Abc= Acb, And So On.

Then (de)(abc) = (abde)c+(cade)b+(bcde)a = (abce)d - (abcd)e, (ab) (AB) = (aA) (bB) - (aB) (bA) abic = (alc) b - (bjc)a, (ablcd) = (ajc) (bjd) - (af d) (bIc).

The distribution of illumination in the image of a luminous line is shown by the curve ABC (fig.

3 the curve of brightness for one component is ABC, and for the other OA'C'; and the curve representing half the combined brightnesses is E'BE.

Take any two arbitrary directions in the plane of the paper, and draw a small isosceles triangle abc, whose sides are perpendicular to the two directions, and consider the equilibrium of a small triangular prism of fluid, of which the triangle is the cross section.

A scalene triangle abc might also be employed, or a tetrahedron.

If at any points of a vortex line the cross-section ABC, A'B'C' is drawn of the vortex filament, joined by the vortex line AA', then, since the flow in AA' is taken in opposite directions in the complete circuit ABC AA'B'C' A'A, the resultant flow in AA' cancels, and the circulation in ABC, A'B'C' is the same; this is expressed by saying that at all points of a vortex filament wa is constant where a is the cross-section of the filament and w the resultant spin (W.

= constant, _ ff 00 NdA N BA-AA X - JA (a' +X) (b 2 +A)P - abc' a2 -b2 ' and at the surface A = o, I I N Bo-A 0 N I R - (a2+b2) abc a 2 -b 2 abc a2b2 I /b 2 N = R I /b2 - I /a2 abc I 1 I Bo - AO' a 2 b 2 - a2 b2 a 2 b2 = R (a 2 - b 2) /(a 22 + /b2) 2 - r (B o - Ao) U Bo+Co - B I - CI' Since - Ux is the velocity function for the liquid W' filling the ellipsoid A = o, and moving bodily with it, the effective inertia of the liquid in the interspace is Ao+B1+C1 Bo+Co - B1 - C, If the ellipsoid is of revolution, with b=c, - 2 XBo - - C BI' and the Stokes' current function 4, can be written down (I) is (5) (7) (6) The velocity function of the liquid inside the ellipsoid A=o due to the same angular velocity will be = Rxy (a2 - b2)/(a2 + b2), (7) and on the surface outside _ N Bo -Ao c1)0xy abc 2 62' so that the ratio of the exterior and interior value of at the surface is ?o= Bo-Ao (9) 4)1 (a 2 -6 2)/(a2 + b) - (Bo - Ao)' and this is the ratio of the effective angular inertia of the liquid, outside and inside the ellipsoid X = o.

The extension to the case where the liquid is bounded externally by a fixed ellipsoid X= X is made in a similar manner, by putting 4 = x y (x+ 11), (io) and the ratio of the effective angular inertia in (9) is changed to 2 (B0-A0) (B 1A1) +.a12 - a 2 +b 2 a b1c1 a -b -b12 abc (Bo-Ao)+(B1-A1) a 2 + b 2 a1 2 + b1 2 alblcl Make c= CO for confocal elliptic cylinders; and then _, 2 A? ?

ABC is a quadrant in which the line AB and the arc AC are divided into the same number of equal parts.

The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.