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QUANTUM MECHANICS
MECHANICS ROTATION
1. Reduced mass. From any arigin O in an inertial frame at rest, the vector positions of the particles of mass m 1 and m 2 are r 1 and r 2 respectively. The vector position of the center of mass of the two particles is: r cm = (m 1 r 1 + m 2 r 2)/M.; where M = m 1 + m 2. Now, we choose the origin O as the CM of the system of the two particles, so r cm = 0. Therefore: m 1 r 1 + m 2 r 2 = 0 r 1 MECHANICS COLLISIONS θ = sin -1 (m/M) Maximum angle of deflection: θ max = sin -1 (m/M) 2. Head-on collision. Let's rewrite the formula (3): cos θ = (M + m)w/2Mv + (M - m)v/2Mw. Calling (M + m)/2M = S, and (M - m)/2M = D, we have: cos θ = S w/v + Dv/w. MATHEMATICS CALCULUS III Calculus III:Surface areaSurface area element. We are going to determine between dS and dA. Ds is rhe surface element , and dA is the surface area element. 1. Surface area element. The vector position points on the surface S. = x + y + z. Its derivative is: = dx + dy +dz.
CINÉTIQUE CHIMIQUE
CINÉTIQUE CHIMIQUE
Cinétique chimique. loi des proportions définies. cinétique. détermination des ordres partiels. cinétique chimique : résume. théories de la cinétique chimique. réactions élémentaires. Les catalyses. dégénérescence de l'ordre d'une réaction.GENERAL RELATIVITY
CHIMIE 2: CHIMIE ORGANIQUE Chimie 2: Chimie organique. Molécules médicinales. Le Paracétamol ou l'acétaminophène. 1. Le Paracétamol. Le paracétamol est aussi appelé acétaminophène . La molécule du paracétamol entre dans la composition d'une soixantaine de spécialités pharmaceutiques. Le paracétamol est un composé chimique utilisé comme antalgique (antiPHYSIQUE CHIMIE TS
1. Le degré de dissociation. Le degré de dissociation est la fraction des molécules du soluté original qui a été dissociée. On le représente habituellement à l'aide du symbole α . Si α = 1 la réaction est totale. Plus précisément, le degré de dissociation correspond à la quantité de MECHANICS : EXAMINATIONS Part I Exercise 1 • (I) In the interval :a = rise/run = 5/2. The equation of motion is x(t) = (1/2) (5/2) t 2 - 10 = (5/4) t 2 - 10 x(t) = (5/4) t 2 - 10 • (II) In the interval : a = rise/run = - 10/1. The equation of motion is x(t) = (1/2) (-10/1) t 2 + vo t + xo. Its derivative is: v(t) = x'(t) = -QUANTUM MECHANICS
MECHANICS ROTATION
1. Reduced mass. From any arigin O in an inertial frame at rest, the vector positions of the particles of mass m 1 and m 2 are r 1 and r 2 respectively. The vector position of the center of mass of the two particles is: r cm = (m 1 r 1 + m 2 r 2)/M.; where M = m 1 + m 2. Now, we choose the origin O as the CM of the system of the two particles, so r cm = 0. Therefore: m 1 r 1 + m 2 r 2 = 0 r 1 MECHANICS COLLISIONS θ = sin -1 (m/M) Maximum angle of deflection: θ max = sin -1 (m/M) 2. Head-on collision. Let's rewrite the formula (3): cos θ = (M + m)w/2Mv + (M - m)v/2Mw. Calling (M + m)/2M = S, and (M - m)/2M = D, we have: cos θ = S w/v + Dv/w. MATHEMATICS CALCULUS III Calculus III:Surface areaSurface area element. We are going to determine between dS and dA. Ds is rhe surface element , and dA is the surface area element. 1. Surface area element. The vector position points on the surface S. = x + y + z. Its derivative is: = dx + dy +dz.
CINÉTIQUE CHIMIQUE
CINÉTIQUE CHIMIQUE
Cinétique chimique. loi des proportions définies. cinétique. détermination des ordres partiels. cinétique chimique : résume. théories de la cinétique chimique. réactions élémentaires. Les catalyses. dégénérescence de l'ordre d'une réaction.GENERAL RELATIVITY
CHIMIE 2: CHIMIE ORGANIQUE Chimie 2: Chimie organique. Molécules médicinales. Le Paracétamol ou l'acétaminophène. 1. Le Paracétamol. Le paracétamol est aussi appelé acétaminophène . La molécule du paracétamol entre dans la composition d'une soixantaine de spécialités pharmaceutiques. Le paracétamol est un composé chimique utilisé comme antalgique (antiPHYSIQUE CHIMIE TS
1. Le degré de dissociation. Le degré de dissociation est la fraction des molécules du soluté original qui a été dissociée. On le représente habituellement à l'aide du symbole α . Si α = 1 la réaction est totale. Plus précisément, le degré de dissociation correspond à la quantité de MATHEMATICS CALCULUS III 1. Definitions . The substitution rule in integral: ∫ a b f(g(x)) dg(x) = ∫ c d f(u) du where dg(x) = g'(x) dx and u = g(x) used in one-dimension holds in two-dimensions and three-dimensions integrals. For a function, the set of equations u = g(x) that define the change of variables are called the transformation . The change of variables is maily used to get the related calculus easier.NETWORK CLASSES
Class A Class A comprises networks 1.0.0.0 through 127.0.0.0. The network number is contained in the first octet. The last three octets provide for a 24 bit (32 - 8) host part, allowing 256 x 256 x 256 - 2 = 16,777,214 hosts for each A class. Class B Class B contains networks 128.0.0.0 through 191.255.0.0; the network number is in the first two MATHEMATICS CALCULUS 1. The percentage change . The percent change in a variable X is defined as: Percent change in X = Change in the variable /Original value of X That is, if a variable X changes from a value X to another value X + ΔX, then: Change in the variable = (X + ΔX) - X = ΔX Percent change in X = ΔX/X . 2. Elasticity . We use derivatives tocompute elasticity.
THERMODYNAMICS
The shell: Let's assume a fluid of thermal convection h circulate from the left to the right across a shell. Its rate D is the quantity of fluid, per unit time, crossing the surface S 1 = π r 1 2.At the entrance, the fluid has a temperature T hi and at the exit, it becomes less hot and has a temperature T co (T hi > T co).If the specific heat at constant volume of the fluid is c v, and the MECHANICS COLLISIONS A collision is an interaction between two or more objects that occur in limited time and space. During a collision, the forces between the objects may be complicated. We examine just what goes into a collision and what comes out of the collision. We assume that the net external forces to the system of the interacting objects are negligible. OPTICS - SCIENTIFIC SENTENCE The values of the refractive indexes in water, in this table, are the average values taken from the results of philip Laven . 3. Secondary rainbow. In this case have, we have two internal reflections and two refractions: δ = (i - r) + (2π - 2r) + (i - r) + 2π - 2r δ = 2i - 6r + 4π The condition of minimum is written as: dδ/di = 0 = 2 - 6(dr/di).
STATICS - SCIENTIFIC SENTENCE Statics: Massless and frictionless pulley. 1. Massless pulley. The role of the pulley is a system is to change the direction of the tension acting on the pulley. We pass then over a pulley strings or ropes. The presence of friction and inertia in the pulley modifies the transmitted tension. Therefore, to make things simple, we often usethe
GEOMETRICAL OPTICS: EYE The eye is an optical instrument. The retina contains millions of rods and cones that, when simulated by light, send electrical impulses along to the optic nerve to the brain. The most part of refrated light needed to produce an image occurs at the air-cornea interface. The index of refraction of air is 1.00 and the index of recraction of theARP AND PROXY ARP
The proxy ARP reply packet is encapsulated in an Ethernet frame with router's MAC address as the source address and Host A's MAC address as the destination address. On receiving this ARP reply, Host A updates its ARP table as folows: IP Address 192.16.20.200 MAC Address 00-11-0a-78-45-AB. At tis point, from now on, the host A will forwardall
MECHANICS ROTATION
1. presentation. The interesting parts, in Kinematics point of view, on a bicycle are: - The rear nad the front wheel (tires), - The rear gear that is a sprocket, - The front gear that is a chainring, - The chain connecting the front gear to the back gear, - The pedal that provides an engine torque. While pedaling, the front gears rotates at the same angular speed as the two petals, while the MECHANICS : EXAMINATIONS Part I Exercise 1 • (I) In the interval :a = rise/run = 5/2. The equation of motion is x(t) = (1/2) (5/2) t 2 - 10 = (5/4) t 2 - 10 x(t) = (5/4) t 2 - 10 • (II) In the interval : a = rise/run = - 10/1. The equation of motion is x(t) = (1/2) (-10/1) t 2 + vo t + xo. Its derivative is: v(t) = x'(t) = -MATHEMATICS 2
Mathématiques 2: Valeur absolue. 1. Définition. La valeur absolue ou le module d'un nombre réel est égale à ce nombre réel lui même quand il est positif; et est égale à son opposé lorsque ce nombre est négatif. La valeur absolue d'un nombre x est notée |x|. Si |x| est la valeur absolue d'un nombre réel, alors x si x ≥ 0 |x| = - x CHIMIE 2 - SCIENTIFIC SENTENCETRANSLATE THIS PAGE 2. L'hpothèse: Étude théorique: 1) La vitesse d’une réaction chimique est plus rapide selon la nature des réactifs suivant l'ordre: ionique en milieu aqueux, état gazeux, liquide, et état de solide. 2) Plus le nombre de liaisons à briser (atomisation)et former (molécularisation) est élevé, plus la réaction sera lente. WAVES - SCIENTIFIC SENTENCE The relationship (3.3): y(x,t) = A sin is the harmonic wave function. From it, we will find the equation of the harmonic wave. Let's consider the partial derivate of this harmonic wave function: . with respect to time t (holding x constant): ∂y/∂t = - v(2π/λ) A cos Wich gives the y-component of the velocity of an element. CHIMIE 2: CHIMIE ORGANIQUE Chimie organique : Les hydrocarburesLes hybridations sp. La théorie de l'hybridation, ou théorie de la liaison de valence a été développée au cours des années 1930, notamment par le chimiste américain Linus PAULING. C'est une théorie descriptive de la liaison chimique qui a encore un grand succès en chimie organique, car ellerend
CINÉTIQUE CHIMIQUE
Cinétique chimique. loi des proportions définies. cinétique. détermination des ordres partiels. cinétique chimique : résume. théories de la cinétique chimique. réactions élémentaires. Les catalyses. dégénérescence de l'ordre d'une réaction.Z&N MÉTHODE
MECHANICS ROTATION
Second Newton's law for rotation. The second Newton's law for rotation for the pulley is: τ net = Στ = I α (1) That is : T1 r - T2 r = r (T1 - T2) = I α (1') α is the angular acceleration of the pulley. 1.2. Second Newton's law for translation. The second Newton's law for translation of the two masses is:CINÉTIQUE CHIMIQUE
MÉCANIQUE - SCIENTIFIC SENTENCETRANSLATE THIS PAGESEE MORE ON SCIENTIFICSENTENCE.NET MECHANICS : EXAMINATIONS Part I Exercise 1 • (I) In the interval :a = rise/run = 5/2. The equation of motion is x(t) = (1/2) (5/2) t 2 - 10 = (5/4) t 2 - 10 x(t) = (5/4) t 2 - 10 • (II) In the interval : a = rise/run = - 10/1. The equation of motion is x(t) = (1/2) (-10/1) t 2 + vo t + xo. Its derivative is: v(t) = x'(t) = -MATHEMATICS 2
Mathématiques 2: Valeur absolue. 1. Définition. La valeur absolue ou le module d'un nombre réel est égale à ce nombre réel lui même quand il est positif; et est égale à son opposé lorsque ce nombre est négatif. La valeur absolue d'un nombre x est notée |x|. Si |x| est la valeur absolue d'un nombre réel, alors x si x ≥ 0 |x| = - x CHIMIE 2 - SCIENTIFIC SENTENCETRANSLATE THIS PAGE 2. L'hpothèse: Étude théorique: 1) La vitesse d’une réaction chimique est plus rapide selon la nature des réactifs suivant l'ordre: ionique en milieu aqueux, état gazeux, liquide, et état de solide. 2) Plus le nombre de liaisons à briser (atomisation)et former (molécularisation) est élevé, plus la réaction sera lente. WAVES - SCIENTIFIC SENTENCE The relationship (3.3): y(x,t) = A sin is the harmonic wave function. From it, we will find the equation of the harmonic wave. Let's consider the partial derivate of this harmonic wave function: . with respect to time t (holding x constant): ∂y/∂t = - v(2π/λ) A cos Wich gives the y-component of the velocity of an element. CHIMIE 2: CHIMIE ORGANIQUE Chimie organique : Les hydrocarburesLes hybridations sp. La théorie de l'hybridation, ou théorie de la liaison de valence a été développée au cours des années 1930, notamment par le chimiste américain Linus PAULING. C'est une théorie descriptive de la liaison chimique qui a encore un grand succès en chimie organique, car ellerend
CINÉTIQUE CHIMIQUE
Cinétique chimique. loi des proportions définies. cinétique. détermination des ordres partiels. cinétique chimique : résume. théories de la cinétique chimique. réactions élémentaires. Les catalyses. dégénérescence de l'ordre d'une réaction.Z&N MÉTHODE
MECHANICS ROTATION
Second Newton's law for rotation. The second Newton's law for rotation for the pulley is: τ net = Στ = I α (1) That is : T1 r - T2 r = r (T1 - T2) = I α (1') α is the angular acceleration of the pulley. 1.2. Second Newton's law for translation. The second Newton's law for translation of the two masses is:CINÉTIQUE CHIMIQUE
MÉCANIQUE - SCIENTIFIC SENTENCETRANSLATE THIS PAGESEE MORE ON SCIENTIFICSENTENCE.NETCINÉTIQUE CHIMIQUE
1. Introduction. Dans le cas d'une pile, la différence de potentiel entre la cathode et l'anode ΔE o = E c o - E a o est appélé la fem: force électromotrice de la pile. Elle vaut fem = ΔE o = E Cu o - E Zinc o = 1.1 Volts pour une pile Daniell. L'indice o signifie "dans les conditions satandard".QUANTUM MECHANICS
1. Introduction. Hydrogen atom is the simplest atom at to apply Bohr model ans Schrodinger equation. many electrons atoms require other theories and more complex analysis. An atom, in its normal state has Z protons and Z electrons in order to be neutral.THERMODYNAMICS
The shell: Let's assume a fluid of thermal convection h circulate from the left to the right across a shell. Its rate D is the quantity of fluid, per unit time, crossing the surface S 1 = π r 1 2.At the entrance, the fluid has a temperature T hi and at the exit, it becomes less hot and has a temperature T co (T hi > T co).If the specific heat at constant volume of the fluid is c v, and theQUANTUM MECHANICS
Quantum Mechanics. Simulation With GNU Octave. Time evolution program. Using GNU Octave. SHO imaginary time. Exponetial wave packet.Trigonometric Wave
MECHANICS ROTATION
Second Newton's law for rotation. The second Newton's law for rotation for the pulley is: τ net = Στ = I α (1) That is : T1 r - T2 r = r (T1 - T2) = I α (1') α is the angular acceleration of the pulley. 1.2. Second Newton's law for translation. The second Newton's law for translation of the two masses is:MECHANICS ROTATION
1. Reduced mass. From any arigin O in an inertial frame at rest, the vector positions of the particles of mass m 1 and m 2 are r 1 and r 2 respectively. The vector position of the center of mass of the two particles is: r cm = (m 1 r 1 + m 2 r 2)/M.; where M = m 1 + m 2. Now, we choose the origin O as the CM of the system of the two particles, so r cm = 0. Therefore: m 1 r 1 + m 2 r 2 = 0 r 1 MECHANICS COLLISIONS θ = sin -1 (m/M) Maximum angle of deflection: θ max = sin -1 (m/M) 2. Head-on collision. Let's rewrite the formula (3): cos θ = (M + m)w/2Mv + (M - m)v/2Mw. Calling (M + m)/2M = S, and (M - m)/2M = D, we have: cos θ = S w/v + Dv/w. RADIATIONS - SCIENTIFIC SENTENCE 1. Expression of the attenuated intensity. When a narrow beam of mono-energetic photons, such as x-ray, γ rays, penetrates a surface of a material; it experiences a change in its intensity, owing to absorption or scattering that occur during the travel of the beam accross the material. The expression of the intensity of the beam thelong of an
CHIMIE 2 - SCIENTIFIC SENTENCETRANSLATE THIS PAGE Définition. On mesure la concentration d'un soluté dans une solution en g/L. Lorsque les quantités de soluté sont très petites dans une grande quantité de solution, on mesure plutôt la concentration en ppm ( Parties Par Millions ). 2. L'unité des ppm. La concentration en ppm se mesure en g de soluté par millions de grammes de solutionCINÉTIQUE CHIMIQUE
1. Préface: Une distillation est une séparation des constituants d'un mélange.Filtrer une eau contenant des matières en suspension est une séparation.Décanter um mélange d'huile et d'eau l'est aussi. Chauffer une substance jusqu'à ébullition, puis receuillir le produit évaporé à travers un réfrigérant est une distillation simple.Lorsque les forces intermoléculaires desScientific Sentence
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