itisarainyday/ml_classifier_bert_training · Datasets at Hugging Face

0 stringlengths 10 969	label int64 0 1
latex9 and C is defined by: latex10 , latex11 , and latex12 .	0
Most cells produce thousands of different types of mRNA.	0
A contaminant is released into a river that flows with velocity latex0 .	0
Still further downstream is section 3, where latex3 .	0
A block of mass latex0 kg slides on a horizontal frictionless surface.	0
Determine the drag force on the plate.	1
Show that the latex0 component of the momentum equation in fluid a and fluid b simplifies to $\dfrac{\mathrm{d}^2 u_a}{\mathrm{d} y^2}=0 latex11 \dfrac{\mathrm{d}^2 u_b}{\mathrm{d} y^2}=0$, respectively Solve the equations obtained in part (e) with appropriate boundary conditions (at the walls and at the interface) to find the axial component of the velocity in both fluids.	1
Verify that your answer is latex10 .	1
Now suppose instead that the same block is on a slope at an angle latex8 to the horizontal: There is a thin layer of lubricating fluid under the block that has constant depth latex3 , and the block is travelling at speed latex10 down the slope.	0
It is at an incidence of latex0 to a stream at a Mach number of 4.	0
Using you own judgement, would such a wind-tunnel test be realistic?	1
The maximum possible bending moment.	0
What is the order in which the light of the lamps reach the person at latex6 ?	1
In the absence of any external torque the equations of motion are known as Euler's equations: latex4 Figure: A rotating body has 3 principal axes.	0
The sea has an average depth of latex1 and it may be assumed that the mixing at the river mouth is sufficient to distribute it uniformly across the depth.	1
Available at: youtube.com/watch?v=aWeqyAxlM2M \[Accessed 4 July 2023] You should first consider the petrol engine: Start by drawing the P-v and T-s diagrams for this engine.	1
What does latex3 equal at this local maximum?	1
Couette flow between two parallel plates orientated parallel to latex0 is driven by the top plate, at latex1 , moving parallel to the bottom plate, at latex0 .	0
The temperature ( latex0 ) in degrees Celsius at which this melting occurs depends on the composition of bases in the DNA, because C and G are held together by more hydrogen bonds than A and T. If we call the percentage of bases that are guanine or cytosine latex1 , then latex0 can be modelled approximately by the equation below.	0
To complete this question you will need to use that data.	0
Comment on differences and similarities.	1
Consider what values latex10 should take at the poles and your understanding of odd and even functions to help you.	0
What happens?	1
*The following question is broken down to encourage discussion as a group and/or as an exercise during tutorials.	0
(Hint: since both cycles are assumed to have the same state latex6 and the same state latex2 , their expansion processes lie on the same curve latex8 , and their compression processes lie on the same curve latex9 *efficiency will increase or decrease as net work (area enclosed) increases or decreases.	0
Add arrows indicating how the force vector depends on latex0 .	1
Let the density be latex3 , which is constant and neglect gravity.	1
At the time the photo was taken, Person (1) was at location latex1 and person (2) was at latex2 .	0
Using energy conservation, show that the minimum distance latex13 between the jumper and the ground is given by latex14 The world’s highest suspension bridge, the Royal Gorge Bridge in Colorado, is latex15 m above the ground.	1
latex1 The propeller diameter was latex2 and it was spun at latex3 .	0
The target mass latex0 is initially at rest in the lab frame, latex1 kg, latex2 kg, latex3 and latex4 .	0
(1) and (2), but there are so many equations in physics that trying to learn them all is not an effective strategy.	0
Find the area enclosed by the curves latex0 and latex1 using a double integral.	1
Add two world lines, one for each end of the rod and finally draw where the rest frame axes lie in the moving coordinates.	1
What is the wavelength of the light?	1
Show that latex1 .	1
latex1 is a proportional and derivative control.	0
Why are GCV and NCV of carbon (graphite) equal?	1
Find: The final temperature of the mixture.	1
Starting from the three-dimensional case, show that the above assumptions allow us to reduce the governing equations for the contaminant to one dimension.	1
The change in exergy flow rate in this process.	0
If this cycle is used for an electrically-driven heat pump which replaces direct electric heating in a building, estimate the resulting annual reduction in latex17 emissions from power stations, with the following assumptions: Annual average heat requirement of building: latex18 Average latex17 emission from power stations: * Coal-fired: latex20 * Gas-fired: latex21 * Nuclear: latex22 Annual electricity generation from all power stations on network: latex23 each from coal-fired, gas-fired and nuclear plant.	1
The ecologist stands exactly latex0 from the base of the tree on level ground and sights the top of the tree through the tube of the clinometer.	0
Assume no slip and no rebound from the step.	0
You will need to look up the density and Young’s modulus of the material.	0
When cosmic rays strike the upper atmosphere 10 km from the Earth's surface, they create particles called muons.	1
From these values, sketch the maximum concentration and its location as a function of time.	1
Verify that it does not satisfy Laplace's equation and given that it does satisfy Poisson's equation find the charge density of this 3D space.	1
Set up the differential equation relating latex0 to latex1 and hence derive the corresponding transfer function.	1
The ratio of latex7 with latex1 is known as the Froude number (noted latex10 ).	0
The GOFast rocket had an initial total mass latex0 and was fired vertically up from Black Rock Desert, Nevada.	0
(i) Redraw the latex12 diagram of the open cycle.	1
Calculate the volume of carbon dioxide consumed from the reservoir, if the experiment is to run for 5 seconds.	1
The rod and masses rotate around the axle with fixed angular velocity latex0 at a fixed angle latex1 .	0
(L6): Show that latex0	1
Show that latex16 , the specific enthalpy after the mixing of the vapour from the low pressure compressor with the vapour from the flash chamber, is latex17 .	1
The sum of latex1 terms of a geometric series is latex17 Show that latex18 The intensity is latex19 Show that when latex20 this result reduces to the one for two-slit interference found in the lectures, latex21 where latex22 is the intensity at latex23 .	1
Verify that the are Kolmogorov scales are dimensionally correct Evaluate the Reynolds number of the flow structures associated with the Kolmogorov scale.	1
A truck travels through shallow water at some speed latex7 .	0
Is the velocity field steady?	1
A charge of +3 C is placed at ( latex0 ) = (2,1) m. Calculate the vector force on a charge of -2 C located at ( latex0 ) = (-5, 7) m. (Answer to 3 sf)	1
What do you notice about this pressure profile?	1
The mean diameter section of an axial-flow air compressor stage is to be designed for a uniform axial velocity of latex0 , a blade velocity of latex1 and a degree of reaction of latex2 .	0
Take time, be brave, and note the solutions are available in the last part.	0
What are the units for the Y-axis?	1
The wheel diameter is 0.04m.	0
Discuss the morphological response of the river section A–B after the new input of sediment.	1
For a given latex17 where latex18 , show that: latex19 From this, find the values of all the coefficients that minimise latex10 .	1
Use this to show that: latex5 This shows that the Fourier transform is unitary.	1
Sketch the streamlines in the region latex1 , latex2 .	1
If time allows, try directly.	0
Find the value of the capacitor latex0 needed in the circuit below to ensure a step response faster than latex1 .	1
Assuming 100% efficiency, what is the power supplied by the pump to the water?	1
Determine the vertical force, latex15 , and horizontal force, latex16 , exerted by the support on the frame at latex0 .	1
A deviation of latex6 of the nominal gain is acceptable.	0
Write the Laplacian, latex0 , of the velocity vectorin a Cartesian frame of reference (consider latex1 ).	1
At what rate must heat be added to the blood to accomplish the required temperature increase?	1
The feedback is latex0 .	0
The square with corners latex2 , latex3 , latex4 , latex5	0
Show that the normal forces per unit area on each plate are equal in magnitude but in opposite directions.	1
*** For a more detailed analysis (in which the approximations made here are lifted) - see [embedded]	0
Calculate the mole fraction of carbon dioxide in the products by volume.	1
Is the flow of the water incompressible?	1
Find the mean value (lectures) of latex0 in the interval latex1 .	1
At what load will the legs buckle, assuming that they are equally-loaded?	1
Hence show that the triple product is equal to the height of latex6 above the base multiplied by its area.	1
This has led the river to change from an equilibrium configuration to the situation showed in the figure below.	0
Using the R134a tables: Sketch a latex15 diagram Calculate the fraction of the refrigerant which evaporates as it is throttled from condenser pressure to flash chamber pressure.	1
The creep rupture properties of Nimonic 105 are shown in the figure below.	0
You are building a toy car to race in a miniature version of Formula 1.	0
From research, you have also estimated that the compression ratio, latex0 , is 9 and are modelling the combustion process as a heat addition of 1000 kJ/kg.	0
Show that the steady-state solution is latex5 .	1
The working section has a square cross-section of width, latex2 , and is constant along the wind tunnel.	0
By studying the equation, argue how the concentration at the school depends on the wind speed.	1
Consider two systems labelled latex0 and latex1 which are weakly coupled according to the ODEs latex2 where latex3 .	0
Choose a bearing that seems similar.	1
Your answer to part a) can be written in the form: latex6 .	0
Additionally, find the torque that will be produced at this maximum speed.	1
The council are concerned about the effects on the air quality for a school directly opposite the road and have asked you to investigate this.	0
You can write very small and very large numbers in the standard computer-science version of scientific notation, i.e write latex2 as '5e-6'.	1

latex9 and C is defined by: latex10 , latex11 , and latex12 .

0

Most cells produce thousands of different types of mRNA.

0

A contaminant is released into a river that flows with velocity latex0 .

0

Still further downstream is section 3, where latex3 .

0

A block of mass latex0 kg slides on a horizontal frictionless surface.

0

Determine the drag force on the plate.

1

Show that the latex0 component of the momentum equation in *fluid a* and *fluid b* simplifies to $\dfrac{\mathrm{d}^2 u_a}{\mathrm{d} y^2}=0 latex11 \dfrac{\mathrm{d}^2 u_b}{\mathrm{d} y^2}=0$, respectively Solve the equations obtained in part (e) with appropriate boundary conditions (at the walls and at the interface) to find the axial component of the velocity in both fluids.

1

Verify that your answer is latex10 .

1

Now suppose instead that the same block is on a slope at an angle latex8 to the horizontal: There is a thin layer of lubricating fluid under the block that has constant depth latex3 , and the block is travelling at speed latex10 down the slope.

0

It is at an incidence of latex0 to a stream at a Mach number of 4.

0

Using you own judgement, would such a wind-tunnel test be realistic?

1

The maximum possible bending moment.

0

What is the order in which the light of the lamps reach the person at latex6 ?

1

In the absence of any external torque the equations of motion are known as **Euler's equations**: latex4 **Figure:** A rotating body has 3 principal axes.

0

The sea has an average depth of latex1 and it may be assumed that the mixing at the river mouth is sufficient to distribute it uniformly across the depth.

1

Available at: youtube.com/watch?v=aWeqyAxlM2M \[Accessed 4 July 2023] You should first consider the petrol engine: Start by drawing the P-v and T-s diagrams for this engine.

1

What does latex3 equal at this local maximum?

1

Couette flow between two parallel plates orientated parallel to latex0 is driven by the top plate, at latex1 , moving parallel to the bottom plate, at latex0 .

0

The temperature ( latex0 ) in degrees Celsius at which this melting occurs depends on the composition of bases in the DNA, because C and G are held together by more hydrogen bonds than A and T. If we call the percentage of bases that are guanine or cytosine latex1 , then latex0 can be modelled approximately by the equation below.

0

To complete this question you will need to use that data.

0

Comment on differences and similarities.

1

Consider what values latex10 should take at the poles and your understanding of odd and even functions to help you.

0

What happens?

1

*The following question is broken down to encourage discussion as a group and/or as an exercise during tutorials.

0

*(Hint: since both cycles are assumed to have the same state* latex6 *and the same state* latex2 , *their expansion processes lie on the same curve* latex8 , *and their compression processes lie on the same curve* latex9 *efficiency will increase or decrease as net work (area enclosed) increases or decreases.

0

Add arrows indicating how the force vector depends on latex0 .

1

Let the density be latex3 , which is constant and neglect gravity.

1

At the time the photo was taken, Person (1) was at location latex1 and person (2) was at latex2 .

0

Using energy conservation, show that the minimum distance latex13 between the jumper and the ground is given by latex14 The world’s highest suspension bridge, the Royal Gorge Bridge in Colorado, is latex15 m above the ground.

1

latex1 The propeller diameter was latex2 and it was spun at latex3 .

0

The target mass latex0 is initially at rest in the lab frame, latex1 kg, latex2 kg, latex3 and latex4 .

0

(1) and (2), but there are so many equations in physics that trying to learn them all is not an effective strategy.

0

Find the area enclosed by the curves latex0 and latex1 using a double integral.

1

Add two world lines, one for each end of the rod and finally draw where the rest frame axes lie in the moving coordinates.

1

What is the wavelength of the light?

1

Show that latex1 .

1

latex1 is a proportional and derivative control.

0

Why are GCV and NCV of carbon (graphite) equal?

1

Find: The final temperature of the mixture.

1

Starting from the three-dimensional case, show that the above assumptions allow us to reduce the governing equations for the contaminant to one dimension.

1

The change in exergy flow rate in this process.

0

If this cycle is used for an electrically-driven heat pump which replaces direct electric heating in a building, estimate the resulting annual reduction in latex17 emissions from power stations, with the following assumptions: Annual average heat requirement of building: latex18 Average latex17 emission from power stations: * Coal-fired: latex20 * Gas-fired: latex21 * Nuclear: latex22 Annual electricity generation from all power stations on network: latex23 each from coal-fired, gas-fired and nuclear plant.

1

The ecologist stands exactly latex0 from the base of the tree on level ground and sights the top of the tree through the tube of the clinometer.

0

Assume no slip and no rebound from the step.

0

You will need to look up the density and Young’s modulus of the material.

0

When cosmic rays strike the upper atmosphere 10 km from the Earth's surface, they create particles called muons.

1

From these values, sketch the maximum concentration and its location as a function of time.

1

Verify that it does not satisfy Laplace's equation and given that it does satisfy Poisson's equation find the charge density of this 3D space.

1

Set up the differential equation relating latex0 to latex1 and hence derive the corresponding transfer function.

1

The ratio of latex7 with latex1 is known as the Froude number (noted latex10 ).

0

The GOFast rocket had an initial total mass latex0 and was fired vertically up from Black Rock Desert, Nevada.

0

(i) Redraw the latex12 diagram of the open cycle.

1

Calculate the volume of carbon dioxide consumed from the reservoir, if the experiment is to run for 5 seconds.

1

The rod and masses rotate around the axle with fixed angular velocity latex0 at a fixed angle latex1 .

0

**(L6)**: Show that latex0

1

Show that latex16 , the specific enthalpy after the mixing of the vapour from the low pressure compressor with the vapour from the flash chamber, is latex17 .

1

The sum of latex1 terms of a geometric series is latex17 Show that latex18 The intensity is latex19 Show that when latex20 this result reduces to the one for two-slit interference found in the lectures, latex21 where latex22 is the intensity at latex23 .

1

Verify that the are Kolmogorov scales are dimensionally correct Evaluate the Reynolds number of the flow structures associated with the Kolmogorov scale.

1

A truck travels through shallow water at some speed latex7 .

0

Is the velocity field steady?

1

A charge of +3 C is placed at ( latex0 ) = (2,1) m. Calculate the vector force on a charge of -2 C located at ( latex0 ) = (-5, 7) m. (Answer to 3 sf)

1

What do you notice about this pressure profile?

1

The mean diameter section of an axial-flow air compressor stage is to be designed for a uniform axial velocity of latex0 , a blade velocity of latex1 and a degree of reaction of latex2 .

0

Take time, be brave, and note the solutions are available in the last part.

0

What are the units for the Y-axis?

1

The wheel diameter is 0.04m.

0

Discuss the morphological response of the river section A–B after the new input of sediment.

1

For a given latex17 where latex18 , show that: latex19 From this, find the values of all the coefficients that minimise latex10 .

1

Use this to show that: latex5 This shows that the Fourier transform is unitary.

1

Sketch the streamlines in the region latex1 , latex2 .

1

If time allows, try directly.

0

Find the value of the capacitor latex0 needed in the circuit below to ensure a step response faster than latex1 .

1

Assuming 100% efficiency, what is the power supplied by the pump to the water?

1

Determine the vertical force, latex15 , and horizontal force, latex16 , exerted by the support on the frame at latex0 .

1

A deviation of latex6 of the nominal gain is acceptable.

0

Write the Laplacian, latex0 , of the velocity vectorin a Cartesian frame of reference (consider latex1 ).

1

At what rate must heat be added to the blood to accomplish the required temperature increase?

1

The feedback is latex0 .

0

The square with corners latex2 , latex3 , latex4 , latex5

0

Show that the normal forces per unit area on each plate are equal in magnitude but in opposite directions.

1

*** For a more detailed analysis (in which the approximations made here are lifted) - see [embedded]

0

Calculate the mole fraction of carbon dioxide in the products by volume.

1

Is the flow of the water incompressible?

1

Find the mean value (lectures) of latex0 in the interval latex1 .

1

At what load will the legs buckle, assuming that they are equally-loaded?

1

Hence show that the triple product is equal to the height of latex6 above the base multiplied by its area.

1

This has led the river to change from an equilibrium configuration to the situation showed in the figure below.

0

Using the R134a tables: Sketch a latex15 diagram Calculate the fraction of the refrigerant which evaporates as it is throttled from condenser pressure to flash chamber pressure.

1

The creep rupture properties of Nimonic 105 are shown in the figure below.

0

You are building a toy car to race in a miniature version of Formula 1.

0

From research, you have also estimated that the compression ratio, latex0 , is 9 and are modelling the combustion process as a heat addition of 1000 kJ/kg.

0

Show that the steady-state solution is 	 latex5 .

1

The working section has a square cross-section of width, latex2 , and is constant along the wind tunnel.

0

By studying the equation, argue how the concentration at the school depends on the wind speed.

1

Consider two systems labelled latex0 and latex1 which are weakly coupled according to the ODEs latex2 where latex3 .

0

Choose a bearing that seems similar.

1

Your answer to part a) can be written in the form: latex6 .

0

Additionally, find the torque that will be produced at this maximum speed.

1

The council are concerned about the effects on the air quality for a school directly opposite the road and have asked you to investigate this.

0

You can write very small and very large numbers in the standard computer-science version of scientific notation, *i.e * write latex2 as '5e-6'.

1