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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) = - 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 à former (molécularisation) est élevé, plus la réaction sera lente.
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| = - xZ&N MÉTHODE
CINÉTIQUE CHIMIQUE
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
CHIMIE 2 - SCIENTIFIC SENTENCETRANSLATE THIS PAGESEE MORE ON SCIENTIFICSENTENCE.NET 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 (anti 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.
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) = - 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 à former (molécularisation) est élevé, plus la réaction sera lente.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| = - xZ&N MÉTHODE
CINÉTIQUE CHIMIQUE
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
CHIMIE 2 - SCIENTIFIC SENTENCETRANSLATE THIS PAGESEE MORE ON SCIENTIFICSENTENCE.NET 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 (anti 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.
MÉCANIQUE - SCIENTIFIC SENTENCETRANSLATE THIS PAGESEE MORE ON SCIENTIFICSENTENCE.NETQUANTUM 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.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 1THERMODYNAMICS
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
A electric dipole is a distribution of two charges of equal magnitude and oposite sign + q and - q. The electric dipole moment P is by definition a vector equal to: P = q d d is the distance between the two charges. The direction of P is the ne of d, that is fron -q toward +q . Two Coulomb forces attracting each other F +q and F -q that givea
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:QUANTUM MECHANICS
Quantum Mechanics. Simulation With GNU Octave. Time evolution program. Using GNU Octave. SHO imaginary time. Exponetial wave packet.Trigonometric Wave
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.
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 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
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 OPTICS - SCIENTIFIC SENTENCESEE MORE ON SCIENTIFICSENTENCE.NETQUANTUM MECHANICS
Quantum Mechanics. Simulation With GNU Octave. Time evolution program. Using GNU Octave. SHO imaginary time. Exponetial wave packet.Trigonometric Wave
MATHEMATICS CALCULUSTHERMODYNAMICS
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 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 the 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. PHYSICS MEASUREMMENTS 1. The stroboscope: The stroboscope is used to measure speed; or example, to measure the period T d of a rotation of a disk. To study the phenomenun, we should set some unique part on the rotating object as an index or reference; like the point R in the figure. Here is the principle: Every T d secondes, we have a flash that illuminates a disck rotating at T r secondes. MECHANICS COLLISIONSGENERAL RELATIVITY
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 OPTICS - SCIENTIFIC SENTENCESEE MORE ON SCIENTIFICSENTENCE.NETQUANTUM MECHANICS
Quantum Mechanics. Simulation With GNU Octave. Time evolution program. Using GNU Octave. SHO imaginary time. Exponetial wave packet.Trigonometric Wave
MATHEMATICS CALCULUSTHERMODYNAMICS
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 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 the 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. PHYSICS MEASUREMMENTS 1. The stroboscope: The stroboscope is used to measure speed; or example, to measure the period T d of a rotation of a disk. To study the phenomenun, we should set some unique part on the rotating object as an index or reference; like the point R in the figure. Here is the principle: Every T d secondes, we have a flash that illuminates a disck rotating at T r secondes. MECHANICS COLLISIONSGENERAL RELATIVITY
ENGLISH LANGUAGE
To speak a language very well, it s important to place the stress correctly in its place in order to avoid misunderstandings. Practically, there are few rules to know which syllable may be stressed. In most cases, we have to learn by practicing, step by step. The words with one syllable are not stressed. But actually, nouns,verbs, adjectives
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. 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.
RADIATIONS - SCIENTIFIC SENTENCE I. Definitions I.1. Operator part: ∂ We define the vector partial: ∂ as follows: ∂ = ( ∂/∂x, ∂/∂y, ∂/∂z) = (∂ x, ∂ y, ∂ z) I.2. Gradient 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
ARP 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
Z&N MÉTHODE
Z&N Méthode. 1. Pompage et statisme. Le but d'un système de régulation est d'être efficace, c'est à dire, lors d'un changement brusque ( perturbation), de réduire l'écart entre la consigne SP et la valeur da mesure PV au minimum dans des délais acceptables dépendament du système de régulation et du fluide procédé enquestion.
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:MATHEMATICS 2
2. Les projections. La perspective est un type de projection. Les projections sont parallèles ou centrales, ou orthogonales. La projection parallèle contient la perspective cavalière et la perspective axonométrique. La projection centrale contient la perspective à un point de fuite et la perspective à deux points defuite.. 2.1.
MECHANICS COLLISIONS 1. Maximum angle of deflection. In a collision perfectly elastica, a moving particle of mass M collides with a stationary particle of massm < M.
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 OPTICS - SCIENTIFIC SENTENCESEE MORE ON SCIENTIFICSENTENCE.NETQUANTUM MECHANICS
Quantum Mechanics. Simulation With GNU Octave. Time evolution program. Using GNU Octave. SHO imaginary time. Exponetial wave packet.Trigonometric Wave
MATHEMATICS CALCULUSTHERMODYNAMICS
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 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 the 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. PHYSICS MEASUREMMENTS 1. The stroboscope: The stroboscope is used to measure speed; or example, to measure the period T d of a rotation of a disk. To study the phenomenun, we should set some unique part on the rotating object as an index or reference; like the point R in the figure. Here is the principle: Every T d secondes, we have a flash that illuminates a disck rotating at T r secondes. MECHANICS COLLISIONSGENERAL RELATIVITY
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 OPTICS - SCIENTIFIC SENTENCESEE MORE ON SCIENTIFICSENTENCE.NETQUANTUM MECHANICS
Quantum Mechanics. Simulation With GNU Octave. Time evolution program. Using GNU Octave. SHO imaginary time. Exponetial wave packet.Trigonometric Wave
MATHEMATICS CALCULUSTHERMODYNAMICS
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 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 the 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. PHYSICS MEASUREMMENTS 1. The stroboscope: The stroboscope is used to measure speed; or example, to measure the period T d of a rotation of a disk. To study the phenomenun, we should set some unique part on the rotating object as an index or reference; like the point R in the figure. Here is the principle: Every T d secondes, we have a flash that illuminates a disck rotating at T r secondes. MECHANICS COLLISIONSGENERAL RELATIVITY
ENGLISH LANGUAGE
To speak a language very well, it s important to place the stress correctly in its place in order to avoid misunderstandings. Practically, there are few rules to know which syllable may be stressed. In most cases, we have to learn by practicing, step by step. The words with one syllable are not stressed. But actually, nouns,verbs, adjectives
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. 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.
RADIATIONS - SCIENTIFIC SENTENCE I. Definitions I.1. Operator part: ∂ We define the vector partial: ∂ as follows: ∂ = ( ∂/∂x, ∂/∂y, ∂/∂z) = (∂ x, ∂ y, ∂ z) I.2. Gradient 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
ARP 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
Z&N MÉTHODE
Z&N Méthode. 1. Pompage et statisme. Le but d'un système de régulation est d'être efficace, c'est à dire, lors d'un changement brusque ( perturbation), de réduire l'écart entre la consigne SP et la valeur da mesure PV au minimum dans des délais acceptables dépendament du système de régulation et du fluide procédé enquestion.
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:MATHEMATICS 2
2. Les projections. La perspective est un type de projection. Les projections sont parallèles ou centrales, ou orthogonales. La projection parallèle contient la perspective cavalière et la perspective axonométrique. La projection centrale contient la perspective à un point de fuite et la perspective à deux points defuite.. 2.1.
MECHANICS COLLISIONS 1. Maximum angle of deflection. In a collision perfectly elastica, a moving particle of mass M collides with a stationary particle of massm < M.
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