Gradient Functions
In the following coursework, will investigate the gradient functions
using the formula y=ax^n, where a is a constant and n is a number.
a
n
Y=ax^n
1
1
x
2
1
2x
3
1
3x
4
1
4x
5
1
5x
a
n
Y=ax^n
1
2
x
2
2
4x
3
2
6x
4
2
8x
5
2
10x
a
n
Y=ax^n
1
3
3x^2
2
3
6x^2
3
3
9x^2
4
3
12x^2
5
3
15x^2
a
n
Y=ax^n
1
4
4x^3
2
4
8x^3
3
4
12x^3
4
4
16x^3
5
4
20x^3
I will plot the graphs of the functions above and I will find their
gradient using the formula gradient=increase in y-axis /increase in
x-axis.
Straight line graphs
Straight line graphs are graphs with the equation y=mx+c or y=ax^1,where
is stand for the gradient and c is the y- intercept.
Gradient calculations
1. y=x graph
Gradient of A= increase in y -axis/increase in x-axis
= 2/2
=1
Gradient of B= increase in y-axis/increase in x-axis
= 2/2
=1
2. y=2x graph
Gradient of D= increase in y-axis/increase in x-axis
= 4/2
=2
Gradient of E= increase in y-axis/increase in x-axis
= 4/2
=2
Gradient of F= increase in y-axis/increase in x-axis
Gradient Function For this investigation, I have to find the relationship between a point of any non-linear graph and the gradient of the tangent, which is the gradient function. First of all, I have to define the word, 'Gradient'. Gradient means the slope of a line or a tangent at any point on a curve. A tangent is basically a line, curve, or surface that touches another curve but does not cross or intersect it. To find a gradient, observe the graph below: [IMAGE][IMAGE] All you
Gradient Function Investigation Gradient Function In this investigation I am going to investigate the gradients of the graphs Y=AXN Where A and N are constants. I shall then use the information to find a formula for all curved graphs. To start the investigation I will draw the graphs where A=1 and N= a positive integer. Y=X2 X Height Width Gradient 1 1 0.5 2 2 4 1 4 3 9 1.5 6 4 16 2 8 Looking at the results above I can
Hydrolysis Of Fats Using the data loggers a recording of the pH was taken every 5 seconds and for each experiment the data loggers produced graphs of the change in pH. From each of these graphs a gradient was calculated which showed the rate of pH change per second. Firstly I calculated the gradients by choosing the steepest section of the graph and dividing the change in pH of this section by the time. However this method proved to be quite inaccurate giving very varied results, for example
Introduction: Gradient: In vector calculus, the gradient is considered as vector field in a function.It points to the points in the route of the maximum rate of increase of the scalar field. Its magnitude is the maximum rate of modify. Directional derivative: Directional derivative represents the instantaneous rate of modification of the function. It generalizes the view of a partial derivative. Gradient: The gradient is defined for the function f(x,y) is as gradf(x,y)= [gradf(x,y)]
manually. It is important to auto- mate the step to learn part bundles. Timing performance of the algorithm is not discussed in the paper. 4. FUTURE WORK 4.1. Active Contours Without Edges 4.1.1. Parameter Selection and Initialization of the Level Set Function This method is semi-automated. It requires user interaction for tuning the parameters and initializing the level set. To ob- tain qualitatively good segmentations the parameters need to be tuned for every image. Machine learning algorithms can be
Advert My advert uses a woman’s moisturiser and places it along side a man. This is challenging the representation of men because in a normal advert it would of featured a women because it it’s aimed at women. I started by placing a blue and white gradient background. This is plain and minimalistic but at the same time adding some colour to the advert whereas plain white would have appeared bland. I used blue because it is a very cool colour and is linked with cold colours and ice. I am trying to put
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outside the potato than within, then I shall expect the potato to shrink in size. I think this because of the laws of Osmosis. Osmosis is the diffusion of water through a partially permeable membrane from a high concentration gradient, to a low concentration gradient. [IMAGE] When there is a situation, such as above, the big particles on the right cannot fit through the partially permeable membrane. However the smaller water particles can fit through, and so they spread out to even the
height of the starting position of the car of the ramp affects the stopping distance of the toy car. ==================================================================== Variables: Things we could change to affect the stopping distance - * Gradient of ramp * Speed * Counter forces * Mass of car * Starting position of car on ramp Dependant Variable: We will investigate a change in the starting position of the car on the ramp. Apparatus: · A ramp · A toy car · 3
likely it is to move to an area of low water concentration. In this case, the tiny holes in the membrane of the potatoes will allow the water molecules to pass through in and out of the solution and the potato, depending on the concentration gradient of the two substances. So in this case, when the water concentration is lower in the potato, the water will go inside the tissue of the potato, and the potato will gain weight. If there is very little different in the two water concentrations
partially permeable membrane in order to let in things like water, and to prevent unwanted big chemicals such as sucrose from entering. However, diffusion only takes places where there is a diffusion gradient i.e. a high concentration in one place and low in the other, moving down the diffusion gradient. Sometimes there are things which have to work against diffusion e.g. plants who need to absorb mineral ions from the soil, even though the concentration of ions is much higher in the plant that
of light intensity on the rate of photosynthesis to the Canadian pondweed, elodea. In the results the pattern is that when the light intensity is higher the readings are generally higher. On the graph the less the light intensity the lower the gradient of the curve. the equation for the photosynthesis process is; CO2 + 2H2O + Light Energy ========> [CH2O} + O2 + H2O, This shows that when the light intensity is increased the rate of reaction will be more quicker he only anomalous result
rationalisation idea. [IMAGE] I can see that 3%n is 3%6 and then I will minus 2. So 3%6-2 = 16, which is correct, so I now know that the formula is correct. Another way of working out the nth term is to use the graph. Using the formula y=m|+c. The gradient is 3/1=3 and the line passes the y-axis
pixels in the image and therefore works only if the intensity histogram of the input image contains distinct peaks corresponding to the desired subject and background. Hence, it cannot deal with images containing, for example, a strong illumination gradient. Local adaptive thresholding, on the other hand, selects an individual threshold for each pixel based on the range of intensity values in its local neighbourhood. This allows for thresholding of an image whose global intensity histogram doesn't contain