MN.)

f, Foot; op, operculum; mn, anal papilla; ry, dry, two portions of unabsorbed nutritive yolk on either side of the intestine.

1, A, B, mn), articulating at their bases with the head-capsule by sub-globular condyles, and provided with abductor and adductor muscles by means of which they can be separated or drawn together so as to bite solid food, or seize objects which have to be carried about.

oe, Gullet; op, optic nerve; sb, sub-oesophageal ganglion; mn, mx, mx', nerves to jaws; t, tentorium.

of the VIth Dynasty, as well as his pyramid in the necropolis, was named Mn - nfr, and this gradually became the usual designation of the whole city, becoming Menfi, Membi in late Egyptian, i.e.

One of these is the position of the line MN through the sun at F in which the plane of the orbit cuts some fundamental plane of reference, commonly the ecliptic. This is called the line of nodes, and its position is specified by the angle which it makes with some fixed line FX in the fundamental plane.

The metals may be arranged in a series according to their power of displacing one another in salt solutions, thus Cs, Rb, K, Na, Mg, Al, Mn, Zn, Cd, Tl, Fe, Co, Ni, Sn, Pb, (H), Sb, Bi, As, Cu, Hg, Ag, Pd, Pt, Au.

Group VII.: H (?), monovalent; the halogens F, Cl, Br, I, usually monovalent, but possibly also triand pentavalent; Mn, divalent and trivalent, and possibly heptavalent in permanganates.

Again, the pyroxenes, RS103 (R=Fe, Mg, Mn, &c.), assume the forms (I) monoclinic, sometimes twinned so as to become pseudo-rhombic; (2) rhombic, resulting from the pseudo-rhombic structure of (I) becoming ultramicroscopic; and (3) triclinic, distinctly different from (I) and (2); (I) and (2) are polysymmetric modifications, while (3) and the pair (I) and (2) are polymorphs.

Cl, Br, I, F; Mn (in permanganates).

S, Se; Te (in tellurides); Cr, Mn, Te (in the acids H 2 RO 4); As, Sb (in the glances MR2) As, Sb, Bi; Te (as an element); P, Vd (in salts); N, P (in organic bases).

Ca, Ba, Sr, Pb; Fe, Zn, Mn, Mg; Ni, Co, Cu; Ce, La, Di, Er, Y, Ca; Cu, Hg, Pb; Cd, Be, In, Zn; Tl, Pb.

Al, Fe, Cr, Mn; Ce, U (in sesquioxides).

Babingtonite (Ca,Fe,Mn)S103 Fe2"(S103)3.

The resultant being a product of mn root differences, is of degree mn in the roots, and hence is of weight mn in the coefficients of the forms; i.e.

the sum of the suffixes in each term of the resultant is equal to mn.

= 0, we find that, eliminating x, the resultant is a homogeneous function of y and z of degree mn; equating this to zero and solving for the ratio of y to z we obtain mn solutions; if values of y and z, given by any solution, be substituted in each of the two equations, they will possess a common factor which gives a value of x which, corn bined with the chosen values of y and z, yields a system of values which satisfies both equations.

Hence in all there are mn such systems. If, therefore, we have a third equation, and we substitute each system of values in it successively and form the product of the mn expressions thus formed, we obtain a function which vanishes if any one system of values, common to the first two equations, also satisfies the third.

Now by the theory of symmetric functions, any symmetric functions of the mn values which satisfy the two equations, can be expressed in terms of the coefficient of those equations.

Hence, finally, the resultant is expressed in terms of the coefficients of the three equations, and since it is at once seen to be of degree mn in the coefficient of the third equation, by symmetry it must be of degrees np and pm in the coefficients of the first and second equations respectively.

Since, If F = An, 4) = By, 1 = I (Df A4) Of A?) Ab A"'^1Bz 1=, (F, Mn Ax I Ax 2 Axe Ax1) J The First Transvectant Differs But By A Numerical Factor From The Jacobian Or Functional Determinant, Of The Two Forms. We Can Find An Expression For The First Transvectant Of (F, �) 1 Over Another Form Cp. For (M N)(F,4)), =Nf.4Y Mfy.4), And F,4, F 5.4)= (Axby A Y B X) A X B X 1= (Xy)(F,4))1; (F,Ct)1=F5.D' 7,(Xy)(F4)1.

Such slags contain S10 2 =3033%, Fe(Mn)O =27-50%, Ca(Mg, Ba)O =12-28%, and retain less than 1% lead and I oz.

6; Mn, 5

Mn.

On either side of any one of them the illumination is distributed according to the same law as for the central image (m = o), vanishing, for example, when the retardation amounts to (mn t 1)X.

Other zinc minerals are willemite, Zn 2 SiO 4, hydrozincite or zinc bloom, ZnCO 3.2Zn(OH)2, zincite or red zinc ore, ZnO, and franklinite, 3(Fe,Zn)0 (Fe,Mn) 2 0 3 .

Mn.)

Along CA and DB, on the same side of MN, take MA' = CA, NB' = DB; and join A'B'.

Then MA'B'N is a right trapezium, whose area is equal to that of Cabd; and it is related to the latter in such a way that, if any two lines parallel to AC and BD meet AB, CD, MN, A'B', in E, G, P, E', and F, H, Q, F', respectively, the area of the piece PE'F'Q of the right trapezium 'B.

from the M N P Q R base MS, and the portions MN, FIG.

(iii) Another special case is that in which the distances MN, NP, PQ,.

MN ??

To find the relation of the velocity to displacement and pressure we shall express the fact that the wave travels on carrying all its conditions with it, so that the displacement now at M will arrive at N while the wave travels over MN.

Let MN = dx = Udt.

In the time dt which the wave takes to travel over MN the particle displacement at N changes by QR, and QR= - udt, so that QR/MN = - u/U.

The principal properties of logarithms are given by the equations log (mn) = log m --Flogs n, loga(m/n) = toga m -logo.

mn, Margin of the mantle-skirt.

The resolving power in the case of gratings is simply mn, where m is the order of spectrum used, and n the total number of lines ruled on the grating.

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.

- and universal speculative bent which seeks, and never Mn ~~ fails to find, an explanation of the facts of the external god world.

For instance, ~ is the conventional picture of a draughtboard (shown in plan) with the draughtsmen (shown in elevation) on its edge :this sign (I) signifies the root mn, set, firm; or (2) in the group ~ represents the same sound as part of the root mn~, good; or (~) added to the group sni (thus:

The royal tombs have preserved mn enormous quantity of fragments, from which five hundred varied forms have been drawn (P.R.T.

MANGANESE [[[symbol]] Mn; atomic weight, 54.93 (0 = t6)], a metallic chemical element.

Manganous hydroxide, Mn (OH) 2, is obtained as a white precipitate on adding a solution of a caustic alkali to a manganous salt.

In the hydrated condition it is a dark brown powder which readily loses water at above too° C., it dissolves in hot nitric acid, giving manganous nitrate and manganese dioxide: 2MnO(OH) + 2HNO 3 = Mn(NO 3) 2 + MnO 2 + 2H 2 0.

It is a hard black solid which readily loses oxygen when strongly heated, leaving a residue of Mn 3 0 4.

Manganous Nitrate, Mn(NO 3) 2.6H 2 0, obtained by dissolving the carbonate in nitric acid and concentrating the solution, crystallizes from nitric acid solutions in long colourless needles, which melt at 25.8° C. and boil at 129.5° C. with some decomposition.

Manganese Carbide, Mn 3 C, is prepared by heating manganous oxide with sugar charcoal in an electric furnace, or by fusing manganese chloride and calcium carbide.

Moissan); Mn 3 C+6H 2 O = 3Mn(OH)2+CH4+H2.

Manganese may be estimated quantitatively by precipitation as carbonate, this salt being then converted into the oxide, Mn 3 0 4 by ignition; or by precipitation as hydrated dioxide by means of ammonia and bromine water, followed by ignition to NIn 3 0 4.

The first action of the lime is to convert the manganese chloride into manganous hydrate (Mn(OH) 2) and calcium chloride; then more lime is added which greatly promotes and hastens the oxidizing process.

FRANKLINITE, a member of the spinel group of minerals, consisting of oxides of iron, manganese and zinc in varying proportions, (Fe, Zn, Mn)"(Fe, Mn) 2"'0 4.

Many salts also occur in the mineral kingdom: for example, scheelite is CaWO 4, stolzite is PbWO 4, farberite is FeWO 4, wolfram is (Fe,Mn)WO 4, whilst hi bnerite is MnW04.

i, Mn.; 4), with toothed apex and sub-apical grinding surface, like those of certain Crustacea; by the presence between the mandibles and maxillae of a pair of appendages (superlinguae or maxil ' x lulae), fig.

Mn, Mandible, and Mxl.

26 mn; Is.

Supposing that the two curves are of the orders m, n, respectively, then the order of the resultant equation is in general and at most = mn; in particular, if the curve of the order n is an arbitrary line (n= 1), then the order of the resultant equation is = m; and the curve of the order m meets therefore the line in m points.

A simpler explanation is that the manganese dioxide first gives a normal sulphite which rearranges to dithionate, thus: Mn0 2 +2S0 2 = Mn(S03)2-MnS206, whilst the lead dioxide gives a basic sulphite which rearranges to sulphate, thus: PbO-l-S0 2 = PbOS03 - > PbS04.

I) as the centre of the earth, and P as a point on the earth's surface, a city for example, it will be seen that OZ being the earth's axis, the circle MN will be the equator.

To show the principle involved in the spirit-level let MN (fig.

7) be a section of the telescope, MN being its M 0 ______ -?

Take a rod LMN bent at right angles at M, such that MN= AB; let the leg LM always pass through a fixed point 0 on AB produced such that OA = CA, where C is the middle point of AB, and cause N to travel along the line perpendicular to AB at C; then the midpoint of MN traces the cissoid.

Final n, if originally it stood between two vowels, drops away (bo, b 0 n u m; vi, v i n u m), but not when it answers to mn (thus do nu in makes do, but dom num don; sonum makes so, but somnum son).

nn, mn, nj, and sometimes to initial n: ao (a nn u m), dano (d a m n u m), nudo (n 0 d u m).

gingival surfaces of the premaxillae and of Mn, Mandible.

bidentate coordination by phosphate seems to be much commoner, relative to monodentate, than for Mn or any other metal.

MN: You're going to need a bigger trophy cabinet to hold all these trophies.

Paul, MN) in combination with 3M Ioban 2 antimicrobial incise Drapes (St.

MN: In the meantime, the offside rule, you know the offside rule, you know the offside rule, don't you?

MN: If anything, you get more stubborn, more entrenched.

The Mn cluster donates electrons to P680+ via a redox active tyrosine located at position 161 on the D1 protein (3 ).

3), fixed to the telescope by the screw i, has rack teeth on its circumference that receive the teeth;of an endless screw w, which, being fixed by the arms xx to the oblong box mn, gives the latter a motion of rotation round the axis of the telescope; an index upon this box points out on the graduated circle gh the angular rotation of the instrument.

f, Foot; op, operculum; mn, anal papilla; ry, dry, two portions of unabsorbed nutritive yolk on either side of the intestine.

1, A, B, mn), articulating at their bases with the head-capsule by sub-globular condyles, and provided with abductor and adductor muscles by means of which they can be separated or drawn together so as to bite solid food, or seize objects which have to be carried about.

A, Front; B, side; C, back; v, vertex; f, frons; cl, clypeus; lbr, labrum; oc, compound eye; ge, gena; mn, mandible; ca, st, pa, ga, la, cardo, stipes, palp, galea, lacinia of first maxilla; sm, m, pa', pg, submentum, mentum, palp, galea of 2nd maxilla.

oe, Gullet; op, optic nerve; sb, sub-oesophageal ganglion; mn, mx, mx', nerves to jaws; t, tentorium.

of the VIth Dynasty, as well as his pyramid in the necropolis, was named Mn - nfr, and this gradually became the usual designation of the whole city, becoming Menfi, Membi in late Egyptian, i.e.

One of these is the position of the line MN through the sun at F in which the plane of the orbit cuts some fundamental plane of reference, commonly the ecliptic. This is called the line of nodes, and its position is specified by the angle which it makes with some fixed line FX in the fundamental plane.

The metals may be arranged in a series according to their power of displacing one another in salt solutions, thus Cs, Rb, K, Na, Mg, Al, Mn, Zn, Cd, Tl, Fe, Co, Ni, Sn, Pb, (H), Sb, Bi, As, Cu, Hg, Ag, Pd, Pt, Au.

Group VII.: H (?), monovalent; the halogens F, Cl, Br, I, usually monovalent, but possibly also triand pentavalent; Mn, divalent and trivalent, and possibly heptavalent in permanganates.

Again, the pyroxenes, RS103 (R=Fe, Mg, Mn, &c.), assume the forms (I) monoclinic, sometimes twinned so as to become pseudo-rhombic; (2) rhombic, resulting from the pseudo-rhombic structure of (I) becoming ultramicroscopic; and (3) triclinic, distinctly different from (I) and (2); (I) and (2) are polysymmetric modifications, while (3) and the pair (I) and (2) are polymorphs.

Cl, Br, I, F; Mn (in permanganates).

S, Se; Te (in tellurides); Cr, Mn, Te (in the acids H 2 RO 4); As, Sb (in the glances MR2) As, Sb, Bi; Te (as an element); P, Vd (in salts); N, P (in organic bases).

Ca, Ba, Sr, Pb; Fe, Zn, Mn, Mg; Ni, Co, Cu; Ce, La, Di, Er, Y, Ca; Cu, Hg, Pb; Cd, Be, In, Zn; Tl, Pb.

Al, Fe, Cr, Mn; Ce, U (in sesquioxides).

Babingtonite (Ca,Fe,Mn)S103 Fe2"(S103)3.

The resultant being a product of mn root differences, is of degree mn in the roots, and hence is of weight mn in the coefficients of the forms; i.e.

the sum of the suffixes in each term of the resultant is equal to mn.

= 0, we find that, eliminating x, the resultant is a homogeneous function of y and z of degree mn; equating this to zero and solving for the ratio of y to z we obtain mn solutions; if values of y and z, given by any solution, be substituted in each of the two equations, they will possess a common factor which gives a value of x which, corn bined with the chosen values of y and z, yields a system of values which satisfies both equations.

Hence in all there are mn such systems. If, therefore, we have a third equation, and we substitute each system of values in it successively and form the product of the mn expressions thus formed, we obtain a function which vanishes if any one system of values, common to the first two equations, also satisfies the third.

Now by the theory of symmetric functions, any symmetric functions of the mn values which satisfy the two equations, can be expressed in terms of the coefficient of those equations.

Hence, finally, the resultant is expressed in terms of the coefficients of the three equations, and since it is at once seen to be of degree mn in the coefficient of the third equation, by symmetry it must be of degrees np and pm in the coefficients of the first and second equations respectively.

Since, If F = An, 4) = By, 1 = I (Df A4) Of A?) Ab A"'^1Bz 1=, (F, Mn Ax I Ax 2 Axe Ax1) J The First Transvectant Differs But By A Numerical Factor From The Jacobian Or Functional Determinant, Of The Two Forms. We Can Find An Expression For The First Transvectant Of (F, �) 1 Over Another Form Cp. For (M N)(F,4)), =Nf.4Y Mfy.4), And F,4, F 5.4)= (Axby A Y B X) A X B X 1= (Xy)(F,4))1; (F,Ct)1=F5.D' 7,(Xy)(F4)1.

Put M 1 For M, N I For N, And Multiply Through By (Ab); Then { (F, C6) } = (Ab) A X 2A Y B X 1 M N I 2 (Xy), ?) 2, = (A B)Ax 1B X 2B Y L I Multiply By Cp 1 And For Y L, Y2 Write C 2, C1; Then The Right Hand Side Becomes (Ab)(Bc)Am Lbn 2Cp 1 M I C P (F?) 2 M { N2 X, Of Which The First Term, Writing C P =, ,T, Is Mn 2 A B (Ab)(Bc)Axcx 1 M 2 N 2 P 2 2222 2 2 _2 A X B X C (Bc) A C Bx M N 2 2 2 M2°N 2 N 2 M 2 2 A X (Bc) B C P C P (Ab) A B B(Ac) Ax Cp 2 = 2 (04) 2 1 (F,0) 2.4 (F,Y') 2 �?; And, If (F,4)) 1 = Km " 2, (F??) 1 1 M N S X X X Af A _Af A Ax, Ax Ax Ax1 Observing That And This, On Writing C 2, C 1 For Y 11 Y 21 Becomes (Kc) K X 'T 3C X 1= (F,0 1 ', G 1; �'�1(F,O) 1 M 1=1 M 2 0`,4)) 2 0, T (Fm 2.4 (0,0 2 .F ' And Thence It Appears That The First Transvectant Of (F, (P) 1 Over 4) Is Always Expressible By Means Of Forms Of Lower Degree In The Coefficients Wherever Each Of The Forms F, 0, 4, Is Of Higher Degree Than The First In X 1, X2.

Such slags contain S10 2 =3033%, Fe(Mn)O =27-50%, Ca(Mg, Ba)O =12-28%, and retain less than 1% lead and I oz.

6; Mn, 5

On either side of any one of them the illumination is distributed according to the same law as for the central image (m = o), vanishing, for example, when the retardation amounts to (mn t 1)X.

Other zinc minerals are willemite, Zn 2 SiO 4, hydrozincite or zinc bloom, ZnCO 3.2Zn(OH)2, zincite or red zinc ore, ZnO, and franklinite, 3(Fe,Zn)0 (Fe,Mn) 2 0 3 .

Along CA and DB, on the same side of MN, take MA' = CA, NB' = DB; and join A'B'.

Then MA'B'N is a right trapezium, whose area is equal to that of Cabd; and it is related to the latter in such a way that, if any two lines parallel to AC and BD meet AB, CD, MN, A'B', in E, G, P, E', and F, H, Q, F', respectively, the area of the piece PE'F'Q of the right trapezium 'B.

from the M N P Q R base MS, and the portions MN, FIG.

(iii) Another special case is that in which the distances MN, NP, PQ,.

To find the relation of the velocity to displacement and pressure we shall express the fact that the wave travels on carrying all its conditions with it, so that the displacement now at M will arrive at N while the wave travels over MN.

Let MN = dx = Udt.

In the time dt which the wave takes to travel over MN the particle displacement at N changes by QR, and QR= - udt, so that QR/MN = - u/U.

The principal properties of logarithms are given by the equations log (mn) = log m --Flogs n, loga(m/n) = toga m -logo.

mn, Margin of the mantle-skirt.

The resolving power in the case of gratings is simply mn, where m is the order of spectrum used, and n the total number of lines ruled on the grating.

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.

- and universal speculative bent which seeks, and never Mn ~~ fails to find, an explanation of the facts of the external god world.

For instance, ~ is the conventional picture of a draughtboard (shown in plan) with the draughtsmen (shown in elevation) on its edge :this sign (I) signifies the root mn, set, firm; or (2) in the group ~ represents the same sound as part of the root mn~, good; or (~) added to the group sni (thus:

The royal tombs have preserved mn enormous quantity of fragments, from which five hundred varied forms have been drawn (P.R.T.

MANGANESE [[[symbol]] Mn; atomic weight, 54.93 (0 = t6)], a metallic chemical element.

Manganous hydroxide, Mn (OH) 2, is obtained as a white precipitate on adding a solution of a caustic alkali to a manganous salt.

In the hydrated condition it is a dark brown powder which readily loses water at above too° C., it dissolves in hot nitric acid, giving manganous nitrate and manganese dioxide: 2MnO(OH) + 2HNO 3 = Mn(NO 3) 2 + MnO 2 + 2H 2 0.

It is a hard black solid which readily loses oxygen when strongly heated, leaving a residue of Mn 3 0 4.

Manganese heptoxide, Mn 2 0 7, prepared by adding pure potassium permanganate to well cooled, concentrated sulphuric acid, when the oxide separates as a dark oil (H.

Manganous Nitrate, Mn(NO 3) 2.6H 2 0, obtained by dissolving the carbonate in nitric acid and concentrating the solution, crystallizes from nitric acid solutions in long colourless needles, which melt at 25.8° C. and boil at 129.5° C. with some decomposition.

Manganese Carbide, Mn 3 C, is prepared by heating manganous oxide with sugar charcoal in an electric furnace, or by fusing manganese chloride and calcium carbide.

Moissan); Mn 3 C+6H 2 O = 3Mn(OH)2+CH4+H2.

Manganese may be estimated quantitatively by precipitation as carbonate, this salt being then converted into the oxide, Mn 3 0 4 by ignition; or by precipitation as hydrated dioxide by means of ammonia and bromine water, followed by ignition to NIn 3 0 4.

The first action of the lime is to convert the manganese chloride into manganous hydrate (Mn(OH) 2) and calcium chloride; then more lime is added which greatly promotes and hastens the oxidizing process.

FRANKLINITE, a member of the spinel group of minerals, consisting of oxides of iron, manganese and zinc in varying proportions, (Fe, Zn, Mn)"(Fe, Mn) 2"'0 4.

Many salts also occur in the mineral kingdom: for example, scheelite is CaWO 4, stolzite is PbWO 4, farberite is FeWO 4, wolfram is (Fe,Mn)WO 4, whilst hi bnerite is MnW04.

i, Mn.; 4), with toothed apex and sub-apical grinding surface, like those of certain Crustacea; by the presence between the mandibles and maxillae of a pair of appendages (superlinguae or maxil ' x lulae), fig.

Mn, Mandible, and Mxl.

26 mn; Is.

Supposing that the two curves are of the orders m, n, respectively, then the order of the resultant equation is in general and at most = mn; in particular, if the curve of the order n is an arbitrary line (n= 1), then the order of the resultant equation is = m; and the curve of the order m meets therefore the line in m points.

Chem., 1907, 5 6, p. 2 33) pointed out that manganese and lead dioxide behaved differently with sulphur dioxide, the former giving dithionate and the latter sulphate, and suggested the following formulae: O:Mn :0, O Pb: as explaining this difference.

A simpler explanation is that the manganese dioxide first gives a normal sulphite which rearranges to dithionate, thus: Mn0 2 +2S0 2 = Mn(S03)2-MnS206, whilst the lead dioxide gives a basic sulphite which rearranges to sulphate, thus: PbO-l-S0 2 = PbOS03 - > PbS04.

I) as the centre of the earth, and P as a point on the earth's surface, a city for example, it will be seen that OZ being the earth's axis, the circle MN will be the equator.

To show the principle involved in the spirit-level let MN (fig.

7) be a section of the telescope, MN being its M 0 ______ -?

Take a rod LMN bent at right angles at M, such that MN= AB; let the leg LM always pass through a fixed point 0 on AB produced such that OA = CA, where C is the middle point of AB, and cause N to travel along the line perpendicular to AB at C; then the midpoint of MN traces the cissoid.

Final n, if originally it stood between two vowels, drops away (bo, b 0 n u m; vi, v i n u m), but not when it answers to mn (thus do nu in makes do, but dom num don; sonum makes so, but somnum son).

nn, mn, nj, and sometimes to initial n: ao (a nn u m), dano (d a m n u m), nudo (n 0 d u m).

gingival surfaces of the premaxillae and of Mn, Mandible.

MN: If anything, you get more stubborn, more entrenched.

The Mn cluster donates electrons to P680+ via a redox active tyrosine located at position 161 on the D1 protein (3).

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