Tonotopy is maintained throughout the auditory system, allowing for processing of sound waves from lower to higher frequencies.
In physiology, tonotopy is the spatial arrangement of where sounds of different frequency are processed in the brain. Tones close to each other in terms of frequency are represented in topologically neighbouring regions in the brain. They are established during the maturation of the inner ear. In mammals, the development starts with the responsiveness of hair cells to rather low frequencies in the middle and upper basal cochlear locations. It is crucial to complex pitch perception and provide a new tool in the search for the neural basis of pitch. Auditory nerve fibers are tonotopically organized so that fibers near the middle of the nerve bundle carry information about low frequencies .
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Calculate the gravitational potential energy of a 95 kg rock at the top of a 45 m cliff. The acceleration due to gravity is 9.8 m/s.
Answer:
41895 J
Explanation:
GPE= mgh
m=95
g=9.8
h=45
95*9.8*45
The gravitational potential energy of the rock at the top of the cliff is 41895 Joules.
What is gravitational potential energy?Gravitational potential energy is simply the potential energy an object possessse in relation to another object due to gravity.
It is expressed as;
U = mgh
Given the data in the question;
Mass m = 95kgHeight h = 45mAcceleration due to gravity g = 9.8 m/s²We substitute our values into the expression above.
U = mgh
U = 95kg × 9.8m/s² × 45m
U = 41895kgm²/s²
U = 41895J
Therefore, the gravitational potential energy of the rock at the top of the cliff is 41895 Joules.
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Standing on top of a building, Bob tosses a baseball straight up with an initial speed of 15 m/s. It takes 4.0 s for the ball to hit the ground. What is the vertical distance of the building? (g = -9.8 m/s²)
Answer:
48.26 m
Explanation:
time to goes up (till stop for a while in the air - maximum height)
vt = vo + a t
0 = 15 + g . t
0 = 15 + (-9.8) . t
9.8t = 15
t = 1.531 s
so the time left to goes down is
4.0 - 1.531 = 2.469 s
height from the top of building can find it by using
vo =√(2gh)
15 = √(2)(9.8).h
15² = 19.6h
h = 225/19.6 = 11.48 m
so the distance of maximum height to the ground is
t = √(2H/g)
2.469 = √(2H/9.8)
2.469² = 2H/9.8
6.096 = 2H/9.8
2H = 6.096 x 9.8 = 59.74 m
so the vertical distance of the building (or the building height's is)
H - h = 59.74 - 11.48 = 48.26 m
Who was the english thinker who established the three laws of motion?.
Answer:
Isaac Newton
Explanation:
Because i learned this in school
An airplane starts from rest and accelerates at a constant rate of 3.0 m/s^2 for 30.0 s before leaving the ground.
Answer:
90m/s
Explanation:
acceleration depicts the rate of change in velocity per time, therefore an acceleration of 3m/s² means the object increases its velocity 3m/s every second therefore the second squared in the denominator
acceleration = (3m/s)/1s =3m/s²
Therefore, if the plane starts from rest (initial speed = 0m/s) and it increases 3m/s every second for 30 seconds you would have:
final_speed = initial_speed + 3m/s²*30s =0+3*30 m*s/s² = 90 m/s
PLEASE HELP!!!!!!!!!
How much force is required to accelerate a 14 kg mass at a rate of 2.5
m/s2?
Answer:
The answer is 35.
Explanation:
We use the formula F=ma
Which one of these is NOT equal to linear velocity?a.v2/r b.displacement/time c.2πfrd.ωr
The linear velocity in terms of the angular velocity is,
\(v=\omega r\)where,
\(\omega\text{ is the angular velocity, r is the radius of the circular motion}\)The angular velocity in terms of the linear frequency is,
\(\omega=2\pi f\)Thus, the linear velocity in terms of linear frequency is,
\(v=2\pi fr\)The linear velocity in terms of the displacement and time is,
\(v=\frac{\text{displacement}}{\text{time}}\)The relation given in the first option is the expression for centripetal acceleration.
\(a_c=\frac{v^2}{r}\)Thus, option a is the correct answer.
A plane's propeller has a rotational inertia of 2.0kg * m ^ 2 After a clockwise torque of 4.0Nm was applied to the propeller for 4.0s, the propeller has a clockwise angular speed of 24 * (rad)/s What was the initial angular momenturn of the propeller before the torque was applied ?
The initial angular momentum of the propeller before the torque was applied will be 32 kg m²/s.
What is torque?Torque is the force's twisting action about the axis of rotation. Torque is the term used to describe the instant of force. It is the rotational equivalent of force. Torque is a force that acts in a turn or twist.
The amount of torque is equal to force multiplied by the perpendicular distance between the point of application of force and the axis of rotation.
The given data in the problem is;
The rotational inertia is,I = 2.0 kg m²
The clockwise torque is, T = 4.0Nm
The time period is,t= 4.0s,
The angular speed is,ω= 24 * (rad)/s
The initial angular momentum of the propeller is,I₀
The angular acceleration is found by the relation;
\(\rm \tau = I \times \alpha \\\\ \alpha =\frac{\tau}{i} \\\\ \alpha =\frac{4.0}{2.0} \\\\ \alpha= 2.0 \ rad/sec^2\)
The initial angular velocity is found as;
\(\rm \omega_f = \omega_0 + \alpha t \\\\ \omega_0 = \omega_f -\alpha t \\\\ \omega_0 =24 -[(-2.0)\times 4.0)] \\\\ \omega_0 = 16 \ rad/sec\)
The initial angular momentum of the propeller is found as;
\(\rm L_0 = I \omega_0 \\\\ L_0 = 20 \times (1.6) \\\\ I_0 = -32 \ kgm^2/s\)
Hence,the initial angular momentum will be 32 kg m²/s.
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Answer: 14 kg•m2/s
Explanation:
Trust me it’s from khan
What is the difference in sui*ide rates between individuals suffering from a mood disorder and individuals who are not?
The difference in self-damage rates between individuals suffering from a mood disorder and individuals who are not is about 15-20 percent (individuals suffering from this type of mood disorder are 15 to 20 percent more prone to commit self-damage).
What are mood and mental disorders?A mood disorder such as depression is a serious health problem that must be treated, which may be associated with unhealthy feelings such as continuous sadness feeling.
This type of mental disorder has been associated with an increase in the self-damage rate in several studies, it is the main reason why a person suffering from depression must be treated in suitable clinical settings.
Therefore, with this data, we can see that mood and mental cognitive disorders should be treated immediately in order to avoid harmful situations and self-damage in the individual suffering from this condition.
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a cable lifts a 1200 kg elevator at a constant velocity for a distance of 35 m. what is the work done by (a) the tension in the cable and (b) the elevator’s weight?
(a) The work done by the tension in the cable can be calculated using the formula:
Work = Force * Distance * cos(θ)
Since the elevator is moving at a constant velocity, the net force on the elevator is zero. Therefore, the work done by the tension in the cable is zero. This is because the tension force and the displacement are perpendicular to each other (θ = 90°), and the cosine of 90° is zero.
(b) The work done by the elevator's weight can be calculated using the formula:
Work = Force * Distance * cos(θ)
In this case, the force is the weight of the elevator, which can be calculated as:
Force = Mass * Gravitational acceleration
Force = 1200 kg * 9.8 m/s^2 = 11,760 N
Since the elevator is being lifted vertically, the angle between the weight force and the displacement is 0°, and the cosine of 0° is 1. Therefore, the work done by the elevator's weight is:
Work = 11,760 N * 35 m * cos(0°) = 411,600 J
In summary,
(a) the work done by the tension in the cable is zero because the net force is zero,
(b) the work done by the elevator's weight is 411,600 J.
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What is the characteristic of the columns in the periodic table?
Answer: The periodic table also has a special name for its vertical columns. Each column is called a group. The elements in each group have the same number of electrons in the outer orbital.
Explanation: :)
What is the physical relationship between the center of thrust and the center of drag in most aircraft
In most aircraft, the center of thrust and the center of drag are typically aligned along the longitudinal axis of the aircraft.
The center of thrust refers to the point on an aircraft where the net thrust force acts. It is usually associated with the engines or propulsion system of the aircraft.
The center of drag, on the other hand, is the point where the aerodynamic drag force acts. It is determined by the shape, size, and distribution of surfaces causing drag, such as wings, fuselage, and control surfaces.
In most aircraft designs, the center of thrust and the center of drag are aligned along the longitudinal axis of the aircraft. This alignment ensures that the thrust force generated by the engines counters the drag force acting on the aircraft.
By having the center of thrust and the center of drag aligned, the aircraft achieves a state of equilibrium, where the moments created by thrust and drag cancel each other out, resulting in a stable flight condition.
This alignment is crucial for maintaining stability and control during flight. Any deviation or imbalance between the center of thrust and the center of drag can lead to undesirable effects, such as changes in pitch or yaw, which may require additional control inputs to maintain stability.
Therefore, aircraft designers strive to achieve proper alignment of the center of thrust and the center of drag to ensure optimal flight characteristics and performance.
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2. A bar magnet is divided in two pieces . Which of the following statements is true about the force between the broken pieces if they face each other with a small separation ? A. There is an electric repulsive force between the broken pieces B. There is an electric attractive force between the broken pieces C. There is a magnetic repulsive force between the broken pieces D. There is a magnetic attractive force between the broken pieces .
in an l-r-c series circuit, r = 295 ω, l = 0.401 h, and c = 6.03×10−8 f. when the ac source operates at the resonance frequency of the circuit, the current amplitude is 0.492 a.
In an l-r-c series circuit, r = 295 ω, l = 0.401 h, and c = 6.03×\(10^{-8}\) f. At the resonance frequency of 10514.8 rad/s, the current amplitude is 0.492 A and the voltage amplitude is 145.14 V.
We can use the resonance condition for an LRC series circuit, which occurs when the inductive and capacitive reactances are equal, to solve for the resonance frequency
ω₀ = 1 / \(\sqrt{LC}\)
Where ω₀ is the resonance frequency, L is the inductance, and C is the capacitance. Plugging in the given values, we get
ω₀ = 1 / \(\sqrt{0.401H*6.03*10^{-8}F }\) ≈ 10514.8 rad/s
At resonance, the impedance of the circuit is purely resistive, so we can use Ohm's law to solve for the resistance
R = V / I
Where R is the resistance, V is the voltage, and I is the current. Since the current amplitude is given as 0.492 A, we can solve for the voltage amplitude
V = IR = (0.492 A)(295 Ω) ≈ 145.14 V
Therefore, at the resonance frequency of 10514.8 rad/s, the current amplitude is 0.492 A and the voltage amplitude is 145.14 V.
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what is a beam of light????
Answer:
The light traveling in any one direction in a straight line is called a ray of light. A group of light rays given out from a source is called a beam of light.
Explanation:
Candle and electric bulbs. The rays coming out from the candle and electric bulb is divergent beam of light.A beam of light is made up of bundles of closely spaced parallel rays.
please give me brainiest
Answer:
The light going in any one course orderly is known as a beam of light. A light beam gathering from a source is known as light emission.
That's the definition of a beam of light.
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Danny lowers the sails on his boat. He paddles upstream at 19 km/hr. The current is still running downstream at 15 km/hr. What is the actual velocity of the boat?
Answer:
4 km/hr
Explanation:
The computation of the actual velocity is shown below:
Because the path of its paddles is opposed to the current direction, the real velocity can be determined by deducting the current velocity to its velocity while paddling
So, the actual velocity is
= Upstream - downstream
= 19 km/hr - 15 km/hr
= 4 km/hr
As we can see it is in positive, so it is an upstream direction
Answer:
since the direction of his paddles is opposite of the the direction of the current, so the actual velocity can be calculated by subtracting the velocity of current to to his velocity when paddling
v = 19 - 15
v = 4 since the answer is positive, then the direction is upstream
Explanation:
If chilled coke and hot tea are kept together tea cools down but coke gets warm .why?
When hot tea is mixed to chilled coke, tea loses heat and coke gains heat. Thus, tea cools down but coke gets heated. Because it is liquid and liquid does not totally cool down to the ambient temperature, it and the iced drink will eventually reach the same temperature.
Newton's law of cooling states that the rate at which a body changes temperature is proportional to the difference between its temperature and that of the surrounding medium. If a body is in air of temperature
25
∘
and the body cools from
95
∘
to
85
∘
in
30
minutes, find the temperature of the body after
60
minutes. (Round to nearest degree.)
The temperature of force the body after 60 minutes is 71 degrees. Let the temperature of the body after 60 minutes be T.
Since the temperature of the surrounding medium is 25 degrees Celsius and the temperature of the body cools from 95 to 85 in 30 minutes, we can find k using the following formula;dT/dt = k(T - 25)Here, dT/dt is the rate at which the body's temperature changes. It's equal to (85 - 95)/30 = -1/3Since the temperature difference is decreasing with time (body cools down), the negative sign indicates this change.
We have;dT/dt = k(T - 25)-1/3 = k(95 - 25)k = -1/70Substituting the value of k in the differential equation above, we get;dT/dt = (-1/70) (T - 25)Solving the differential equation gives the following equation:T = 25 + 60e^(-t/70)Substituting the value of t = 60 minutes (1 hour) into the equation above gives;T = 25 + 60e^(-1)T = 71 degrees Celsius (rounded to the nearest degree).
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Velocity is vector quantity because??
Velocity is vector quantity because it has both magnitude and direction.
Explanation:
velocity is a vector quantity because the person always returns to the original position,the motion would never result in a change in a position.
What is the cutoff (threshold) frequency for a metal surface that has a work function of 5.42 eV? (1 eV = 1.60 × 10-19 J, h = 6.626 × 10-34 J ∙ s)
A) 1.31 × 1015 Hz
B) 2.01 × 1015 Hz
C) 3.01 × 1015 Hz
D) 5.02 × 1015 Hz
E) 6.04 × 1015 Hz
Explanation:
The cutoff (threshold) frequency for a metal surface that has a work function of 5.42 eV is given by the formula f0 = (φ/h) × (1/e),
where φ is the work function of the metal, h is the Planck's constant, and e is the charge of an electron.1
eV = 1.60 × 10-19 J, h = 6.626 × 10-34 J ∙ sHere,φ = 5.42 eV = 5.42 × 1.60 × 10-19 Jh = 6.626 × 10-34 J ∙ se = 1.60 × 10-19 C
Thus, the cutoff frequency is:f0 = (φ/h) × (1/e) = (5.42 × 1.60 × 10-19 J)/(6.626 × 10-34 J ∙ s) × (1/1.60 × 10-19 C)≈ 1.31 × 1015 Hz
Therefore, the cutoff (threshold) frequency for a metal surface that has a work function of 5.42 eV is 1.31 × 1015 Hz. The answer is A) 1.31 × 1015 Hz.
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calculate the velocity of an object moved around a circle with a radius of 1.65m and an acceleration of 3.5 m/s^2
Answer:
2.4m/s
Explanation:
©
w
0.02m.
Calculate the linear and angular velocity of the tip of a second switch of length
(Ans. 0.002 ms', 0.01 rads']
Answer:
ω = 0.1 rad/s
v = 0.002 m/s
Explanation:
The angular velcoity of the second hand of the clock can be found by:
ω = θ/t
where,
ω = Angular Speed
θ = Angular Displacement
t = time taken
Now, for one complete revolution of second hand of the clock:
θ = 2π rad
t = 60 s
Therefore,
ω = 2π rad/60 s
ω = 0.1 rad/s
Now, for the linear speed (V):
V = rω
where,
V = Linear Speed of Second Hand = ?
r = radius = length of second hand = 0.02 m
Therefore,
V = (0.02 m)(0.1 rad/s)
V = 0.002 m/s
One of the largest planes ever to fly, and the largest to fly frequently, is the Ukrainian-built Antonov An-124 Rusian. Its wingspan is 73.2 m and its length is 69.2 m. The gravitational potential energy associated with the plane at an altitude of 1.45 km is J. What is the airplane's mass? Please show work!
Answer:
Gravitational potential energy is energy an object possesses because of its position in a gravitational field.
It is given by P.E = mgh
where m = mass
Explanation:
g= acceleration due to gravity
h = height of the object
Here,
h = 1.45km = 1450 m
P.E = 3.36 x J
g = 9.8m/
therefore, m = P.E/ gh = (3.36 x s J)/ 9.8 x 1450
m = 2.36 x
Hence mass of the airplane is 2.36 x
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How do you find the average speed of three speeds?
Answer:
Assess what information you are given. Use this method if you know:
the total distance covered by one person or vehicle; and
the total time it took that person or vehicle to cover the distance.
Explanation:
Hope this helps! I might be wrong, so tell me if I am
Answer:
Average speed can be calculated by dividing the total distance the object travels by the total amount of time it takes to travel that distance.
Explanation:
This is as much as I can help you, i don't know much else on how to do that ;w; sorry
One method of getting a tight fit, say of a metal peg in a hole in a metal block, is to manufacture the peg slightly larger than the hole. The peg is then inserted when at a different temperature than the block. Should the block be hotter or colder than the peg during insertion
The block should be colder than the peg during insertion.
To find the answer, we have to know more about the thermal expansion of metal.
What is thermal expansion of metal?Metals' Thermal Expansion The phenomenon of material expanding on heating and contracting on cooling is now well-known. An object changes in size when heated. Depending on the body's form. It is known as linear expansion if the expansion takes place linearly.The peg should be warmer than the metal block. Since the metal peg is made larger, the temperature of the metal block should be lower than that of the peg in order for the metal block's thermal expansion to provide a tight fit when the peg is inserted into the hole and the temperature rises.Due to the metal's tendency to expand as temperature rises, the hole's size decreases. As a result, at the time of insertion, the metal block's temperature should be lower than the peg's temperature.Thus, we can conclude that, the block should be colder than the peg during insertion.
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A sample of an unknown substance has a mass of 0.465 kg. if 3,000.0 j of heat is required to heat the substance from 50.0°c to 100.0°c, what is the specific heat of the substance?
The specific heat of the substance will be 0.129 J/g°C.
What is specific heat capacity?The amount of heat required to increase a substance's temperature by one degree Celsius is known as specific heat capacity.
Similarly, heat capacity is the relationship between the amount of energy delivered to a substance and the increase in temperature that results.
The given data in the problem is;
Q is the amount of energy necessary to raise the temperature = 3,000.0 j
M is the mass= 0.465 kg.
Δt is the time it takes to raise the temperature.=50°c
s stands for specific heat capacity=?
Mathematically specific heat capacity is given by;
\(\rm Q= MC \triangle t \\\\ C = \frac{Q}{M\triangle t} \\\\ C = \frac{3000}{0.465 \triangle 50} \\\\ C =129.0 J/Kg^0C \\\\ C= 0.129 J/g^0C\)
Hence the specific heat of the substance will be 0.129 J/g°C.
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The work done on an object is equal to the force times the distance moved in the direction of the force. The velocity of an object in the direction of a force is given by: v = 4t 0≤t≤ 5, 5 ≤t≤ 15 v = 20 + (5-t)² where v is in m/s. With step size h=0. 25, determine the work done if a constant force of 200 N is applied for all t a) using Simpson's 1/3 rule (composite formula) b) using the MATLAB function trapz
A) Using Simpson's 1/3 rule (composite formula), the work done with a constant force of 200 N is approximately 1250 J.
B) Using the MATLAB function trapz, the work done is approximately 7750 J.
Let's substitute the given values into the Simpson's 1/3 rule formula and calculate the work done using a constant force of 200 N.
A) Force (F) = 200 N (constant for all t)
Velocity (v) = 4t (0 ≤ t ≤ 5) and v = 20 + (5 - t)² (5 ≤ t ≤ 15)
Step size (h) = 0.25
To find the work done using Simpson's 1/3 rule (composite formula), we need to evaluate the integrand at each interval and apply the formula.
Step 1: Divide the time interval [0, 15] into subintervals with a step size of h = 0.25, resulting in 61 equally spaced points: t0, t1, t2, ..., t60.
Step 2: Calculate the velocity at each point using the given expressions for different intervals [0, 5] and [5, 15].
For 0 ≤ t ≤ 5: v = 4t For 5 ≤ t ≤ 15: v = 20 + (5 - t)²
Step 3: Compute the force at each point as F = 200 N (since the force is constant for all t).
Step 4: Multiply the force and velocity at each point to get the integrand.
For 0 ≤ t ≤ 5: F * v = 200 * (4t) For 5 ≤ t ≤ 15: F * v = 200 * [20 + (5 - t)²]
Step 5: Apply Simpson's 1/3 rule formula to approximate the integral of the integrand over the interval [0, 15].
The Simpson's 1/3 rule formula is given by: Integral ≈ (h/3) * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + 2f(x4) + ... + 4f(xn-1) + f(xn)]
Here, h = 0.25, and n = 60 (since we have 61 equally spaced points, starting from 0).
Step 6: Multiply the result by the step size h to get the work done.
Work done: 1250 J
B) % Define the time intervals and step size
t = 0:0.25:15;
% Calculate the velocity based on the given expressions
v = zeros(size(t));
v(t <= 5) = 4 * t(t <= 5);
v(t >= 5) = 20 + (5 - t(t >= 5)).^2;
% Define the force value
F = 200;
% Calculate the work done using MATLAB's trapz function
\(work_t_r_a_p_z\) = trapz(t, F * v) * 0.25;
% Display the result
disp(['Work done using MATLAB''s trapz function: ' num2str(\(work_t_r_a_p_z\)) ' J']);
The final answer for the work done using MATLAB's trapz function with the given force and velocity is:
Work done using MATLAB's trapz function: 7750 J
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If an object is observed to orbit the Sun in an orbit with an eccentricity of 0.9, what type of object is it likely to be
If an object is observed to orbit the Sun in an orbit with an eccentricity of 0.9, it is likely to be a comet.
Comets are small celestial bodies that have highly elliptical orbits around the Sun, and they are composed of dust, ice, and small rocky particles. As a comet gets closer to the Sun, the heat causes the ice to sublimate and creates a bright coma, which can be visible from Earth. The eccentricity of a comet's orbit can be very high, which means that it can spend most of its time in the outer reaches of the solar system before making a fast and dramatic approach to the Sun.
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The Fastest Moving Planet In A Solar System Is:? A. The Smallest Planet. B. Any Planet, Because They All Move At The Same Speed. C. The Planet Nearest The Sun. D. The Planet Farthest From The Sun.
The planet that moves the fastest in a solar system is the planet nearest the Sun.
The correct option is C. The Planet Nearest The Sun.
What is a Solar System?
A solar system is a collection of planets, moons, comets, asteroids, and other objects that revolve around a single star. The sun is the center of our solar system, and it includes all of the matter and energy that orbits around it, including Earth and all the other planets.
Sun, the star around which Earth and the other planets of the solar system revolve, has a huge gravitational field. Planets move around the sun in a fixed orbit at varying speeds, depending on their distance from the sun. Because planets are closer to the sun, their gravitational pull is greater, resulting in a faster orbital speed for them.
The planet nearest the sun in the solar system is Mercury. Due to its proximity to the sun, it orbits at a speed of around 48 km/s, making it the fastest planet in the solar system, with an orbital period of 88 Earth days.
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The constellation hercules, named after an ancient greek mythical hero. Page from a 1430 copy of the book of fixed stars, an astronomy book written by a tenth-century muslim scientist
An artwork from The Book of Fixed Stars is seen in the figure.
A man is depicted in the drawing holding a sickle with his left hand and extending his right arm forth. The person is hunched over on his left knee, and above him is inscribed in Arabic calligraphy. There are dots all throughout the artwork with Arabic text that identify specific stars and their brightness as observed by Muslim astronomers.
The monarch of the Turkic Timurid dynasty, which ruled over a large portion of Central Asia in the fifteenth century, received this copy of The Book of Fixed Stars. Individual stars are represented by the dots spread throughout the picture, and the symbols next to the dots denote the stars' varying luminosities, as observed by Muslim astronomers.
The greatest evidence that intellectual activities in the Muslim world persisted in the era between 1200 and 1450, despite the dissolution of the Abbasid Caliphate, is the sponsorship of scholarship by Turkic dynasties, such as the Timurids.
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