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
have bigger feet. Aim To find out if there is a correlation between height and foot length using Fathom. Statement When you square root 0.69 you know to take the positive value, not the negative value, because the line has a positive gradient. [IMAGE]A scatter graph to show the correlation between height and foot length [IMAGE] Text Box: = Anomalies[IMAGE] The graph measures r, the strength of the linear relationship between height and the length of foot. If all the points
guided by a member of the FSC centre. We started of at Chesham Moore which is the source of the River Chess; its confluence is the River Colne at Rickmansworth which feeds into the River Thames which then follows into the sea. [IMAGE] * * Gradient- will decrease downstream, starting at a high point. * Width- will get wider due to more water feeding in from the ground, therefore it will increase downstream. * Depth- will get deeper downstream.
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
area of lower concentration. Concentration gradient causes the molecules to move from higher concentration to a lower concentration. The side of the membrane that has the higher concentration is said to have the concentration gradient. It drives diffusion because substances always move down their concentration gradient. The pressure gradient also plays a role in diffusion. Where this is a pressure gradient there is motion of molecules. The pressure gradient is a difference in pressure between two different
river from its source to its mouth. Usually, a long profile has three parts: â— Upper course or mountain tract â— Middle course or valley tract â— Lower course or plain tract However, in Hong Kong most of the rivers are short and their gradients change abruptly. These rivers have two courses only, the upper and lower courses. Not all rivers have three well-defined stages. Some reach base level direct from stage 1 (Base level is the lowest level down to where a river can erode). Others
Finding Gradients of Curves Introduction I am going to investigate the gradients of different curves and try to work out a pattern that I could use to find the gradient of any curve. I will draw graphs of a selection of curves, some by hand, some using Autograph and some using Excel. I will use three methods to investigate the graphs. Firstly, I will draw tangents to the curves at 4 or 5 points and measure the gradients. Secondly, I will draw chords between x = 1 and 4 or 5 points and
bigger the push or force, the bigger the acceleration. The gradient of the slope, - (the height of the slope that the object moves down), the bigger the gradient, the bigger the acceleration will be as the object travels down it, because less friction acts against an object which travels down a steeper slope and friction reduces the acceleration of an object. The variable which I have chosen to investigate is the gradient of the slope. I think that out of all the variables, this is the
It would be difficult to plot the results in the form of a line graph. * Gradient of ramp- gradient of the ramp affects the motion of the trolley because as the gradient gets larger the height the trolley starts from gets higher as well. This would mean that at higher points the trolley would have more gravitational potential energy. This would be a good variable to investigate because we can use various gradients but it might be slightly difficult to measure some angles with the protractor