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Multiplying

Lens Lens (l[e^]nz), n.; pl. Lenses (-[e^]z). [L. lens a lentil. So named from the resemblance in shape of a double convex lens to the seed of a lentil. Cf. Lentil.] (Opt.) A piece of glass, or other transparent substance, ground with two opposite regular surfaces, either both curved, or one curved and the other plane, and commonly used, either singly or combined, in optical instruments, for changing the direction of rays of light, and thus magnifying objects, or otherwise modifying vision. In practice, the curved surfaces are usually spherical, though rarely cylindrical, or of some other figure. Lenses Note: Of spherical lenses, there are six varieties, as shown in section in the figures herewith given: viz., a plano-concave; b double-concave; c plano-convex; d double-convex; e converging concavo-convex, or converging meniscus; f diverging concavo-convex, or diverging meniscus. Crossed lens (Opt.), a double-convex lens with one radius equal to six times the other. Crystalline lens. (Anat.) See Eye. Fresnel lens (Opt.), a compound lens formed by placing around a central convex lens rings of glass so curved as to have the same focus; used, especially in lighthouses, for concentrating light in a particular direction; -- so called from the inventor. Multiplying lens or glass (Opt.), a lens one side of which is plane and the other convex, but made up of a number of plane faces inclined to one another, each of which presents a separate image of the object viewed through it, so that the object is, as it were, multiplied. Polyzonal lens. See Polyzonal.

Lens Lens (l[e^]nz), n.; pl. Lenses (-[e^]z). [L. lens a lentil. So named from the resemblance in shape of a double convex lens to the seed of a lentil. Cf. Lentil.] (Opt.) A piece of glass, or other transparent substance, ground with two opposite regular surfaces, either both curved, or one curved and the other plane, and commonly used, either singly or combined, in optical instruments, for changing the direction of rays of light, and thus magnifying objects, or otherwise modifying vision. In practice, the curved surfaces are usually spherical, though rarely cylindrical, or of some other figure. Lenses Note: Of spherical lenses, there are six varieties, as shown in section in the figures herewith given: viz., a plano-concave; b double-concave; c plano-convex; d double-convex; e converging concavo-convex, or converging meniscus; f diverging concavo-convex, or diverging meniscus. Crossed lens (Opt.), a double-convex lens with one radius equal to six times the other. Crystalline lens. (Anat.) See Eye. Fresnel lens (Opt.), a compound lens formed by placing around a central convex lens rings of glass so curved as to have the same focus; used, especially in lighthouses, for concentrating light in a particular direction; -- so called from the inventor. Multiplying lens or glass (Opt.), a lens one side of which is plane and the other convex, but made up of a number of plane faces inclined to one another, each of which presents a separate image of the object viewed through it, so that the object is, as it were, multiplied. Polyzonal lens. See Polyzonal.

Multiplying

Multiply Mul"ti*ply, v. t. [imp. & p. p. Multiplied; p. pr. & vb. n. Multiplying.] [F. multiplier, L. multiplicare, fr. multiplex manifold. See Multitude, Complex.] 1. To increase in number; to make more numerous; to add quantity to. Impunity will multiply motives to disobedience. --Ames. 2. (Math.) To add (any given number or quantity) to itself a certain number of times; to find the product of by multiplication; thus 7 multiplied by 8 produces the number 56; to multiply two numbers. See the Note under Multiplication. 3. To increase (the amount of gold or silver) by the arts of alchemy. [Obs.] Multiplying gear (Mach.), gear for increasing speed. Multiplying lens. (Opt.) See under Lens.

Multiply Mul"ti*ply, v. t. [imp. & p. p. Multiplied; p. pr. & vb. n. Multiplying.] [F. multiplier, L. multiplicare, fr. multiplex manifold. See Multitude, Complex.] 1. To increase in number; to make more numerous; to add quantity to. Impunity will multiply motives to disobedience. --Ames. 2. (Math.) To add (any given number or quantity) to itself a certain number of times; to find the product of by multiplication; thus 7 multiplied by 8 produces the number 56; to multiply two numbers. See the Note under Multiplication. 3. To increase (the amount of gold or silver) by the arts of alchemy. [Obs.] Multiplying gear (Mach.), gear for increasing speed. Multiplying lens. (Opt.) See under Lens.

- example of multiplying 34 by 13 would be to lay the numbers out in a grid like: and then add the entries. The cl****ical method of multiplying two n-digit...

- Multiplier may refer to: Multiplier (coefficient), the number of multiples being computed in multiplication, also known as a coefficient in algebra Lagrange...

- the entry c i j {\displaystyle c_{ij}} of the product is obtained by multiplying term-by-term the entries of the ith row of A and the jth column of B...

- In mathematical optimization, the method of Lagrange multipliers is a strategy for finding the local maxima and minima of a function subject to equality...

- algorithm multiplying numbers represented as variable length ASCII strings is shown below in C++. 1 cl**** Trachtenberg 2 { 3 public: 4 void multiply(const...

- The numerical multiplier (or multiplying affix) in IUPAC nomenclature indicates how many particular atoms or functional groups are attached at a particular...

- those of similar triangles. In practice, the method of cross-multiplying means that we multiply the numerator of each (or one) side by the denominator of...

- night vision devices and in various scientific applications. An electron-multiplying CCD (EMCCD, also known as an L3Vision CCD, a product commercialized by...

- In monetary economics, a money multiplier is one of various closely related ratios of commercial BANK money to central bank money (also called the monetary...

- In macroeconomics, a multiplier is a factor of proportionality that measures how much an endogenous variable changes in response to a change in some exogenous...

- Multiplier may refer to: Multiplier (coefficient), the number of multiples being computed in multiplication, also known as a coefficient in algebra Lagrange...

- the entry c i j {\displaystyle c_{ij}} of the product is obtained by multiplying term-by-term the entries of the ith row of A and the jth column of B...

- In mathematical optimization, the method of Lagrange multipliers is a strategy for finding the local maxima and minima of a function subject to equality...

- algorithm multiplying numbers represented as variable length ASCII strings is shown below in C++. 1 cl**** Trachtenberg 2 { 3 public: 4 void multiply(const...

- The numerical multiplier (or multiplying affix) in IUPAC nomenclature indicates how many particular atoms or functional groups are attached at a particular...

- those of similar triangles. In practice, the method of cross-multiplying means that we multiply the numerator of each (or one) side by the denominator of...

- night vision devices and in various scientific applications. An electron-multiplying CCD (EMCCD, also known as an L3Vision CCD, a product commercialized by...

- In monetary economics, a money multiplier is one of various closely related ratios of commercial BANK money to central bank money (also called the monetary...

- In macroeconomics, a multiplier is a factor of proportionality that measures how much an endogenous variable changes in response to a change in some exogenous...

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