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Max Function
Statistical function is of many categories. One of them is a MAX function. The MAX function returns the largest value from the list of arguments passed to it. MAX function always ignores the empty cells when performing the calculation.
Power Function
A power function is a type of single-term function. Its definition states that it is a variable containing a base value raised to a constant value acting as an exponent. This variable may also have a coefficient. For instance, the area of a circle can be given as:
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- Phyton The surface of the Earth is curved, and the distance between degrees of longitude varies with latitude. As a result, finding the distance between two points on the surface of the Earth is more complicated than simply using the Pythagorean theorem. Let (t1, g1) and (t2, g2) be the latitude and longitude of two points on the Earth’s surface. The distance between these points, following the surface of the Earth, in kilometers is: distance = 6371.01 × arccos(sin(t1) × sin(t2) + cos(t1) × cos(t2) × cos(g1 − g2)) The value 6371.01 in the previous equation wasn’t selected at random. It is the average radius of the Earth in kilometers. Create a program that allows the user to enter the latitude and longitude of two points on the Earth in degrees. Your program should display the distance between the points, following the surface of the earth, in kilometers. Hint: Python’s trigonometric functions operate in radians. As a result, you will need to convert the user’s input from degrees to…(Thermodynamics) The work, W, performed by a single piston in an engine can be determined by this formula: W=Fd F is the force provided by the piston in Newtons. d is the distance the piston moves in meters. a. Determine the units of W by calculating the units resulting from the right side of the formula. Check that your answer corresponds to the units for work listed in Table 1.1. b. Determine the work performed by a piston that provides a force of 1000 N over a distance of 15 centimeters.Python program code to find the degree distribution of the graph in Fig. 10.1 and plot this distribution is given below. The Degree_Dist function inputs the adjacency matrix of a graph, finds the degrees of each vertex by multiplying this matrix with the unity vector U in lines 10–12. The number of vertices with the same degree is calculated and stored in vector C in lines 17–20. Each element of this vector is divided by the number of vertices to find P(k) for k = 0, ..., n − 1 and finally this function is plotted against vertex degrees using the Python library mat plotlib.pylot.
- 20. An employee in a company gets special allowance based on employee category. Input his basic salary and category. Calculate and print the special allowance. (Use switch-case) Category Special Allowance M or m 15% of Basic salary T or t 10% of basic salary C or c 7.5% of Basic salary |Any other 3% of basic salarySupposepis “The current month is February.” Supposeqis “It has snowed in Philly thisyear.” Supposeris “The temperature in Philly today is below 60◦.” Rewrite each of thefollowing four sentences in terms ofp,q,r, and logical symbols (without using words), andthen identify the truth value of each of the four sentences.(a) The current month is February and it has not snowed in Philly this year.(b) The current month is not February or the temperature in Philly today is below 60◦.(c) If it has snowed in Philly this year, then the temperature in Philly today is not below60◦.(d) The converse of the sentence in part (c).PROBLEM 4. [TIME ALLOWED = 5 MINUTES] Give the negation of the following sentence: “It is hot today.”
- 17. A chessboard is an 8 x 8 grid. A knight can move up two squares plus one square to the left or right, or up one plus two squares to the left or right. For a knight in the position shown, determine the number of paths to the top of the board, moving upward at all times. Describe how you solved the problem. (A: /2)(C: 14)Problem B Musical Key ConversionThe chromatic scale is a 12-note scale in music in which all notes are evenly spaced: that is, the ratio of the frequency between any two consecutive notes is constant. The notes are typically labeled in the following sequence: A, A#, B, C, C#, D, D#, E, F, F#, G, G# After G#, the labels loop back and start over with A (one octave higher). To convert between musical keys, you can shift all notes in a piece of music a constant number of steps along the scale above. For example, the sequence of notes E, E, F, G, G, F, E, D, C, C, D, E, E, D, D can be converted to another musical key by shifting everything up three steps: E, E, F, G, G, F, E, D, C, C, D, E, E, D, D G, G, G#, A#, A#, G#, G, F, D#, D#, F, G, G, F, F Notice that G was converted to A#, since going three steps up required us to loop off of the top of the scale back to the bottom: G -> G# -> A -> A#. Technically we should note that this would be A# of the next octave up, but we’ll…4. The car license (number) plate has 3 letters and 4 digits. Determine following. (a) no letter or digit can be repeated (without repetitions) (b) with repetitions allowed
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