1. A) Show that the relation R over bit strings where (x, y) is in R if and only bit strings x and y length 16 that agree on their last 4 bits is an equivalence relation. Define the equivalence classes and the partition induced by R. Answer: A relation R is said to be an equivalence relation if and only if it has all the following three properties: • Reflexive • Symmetric and • Transitive We got to show that the relation R over bit strings where (x, y) is in R if and only bit strings x and y length 16 that agree on their last 4 bits is an equivalence relation. To prove this we got to prove the relation R is following all the 3 properties as mentioned before. Let us consider x’s equivalent bit string of length 16 is x0x1x2x3x4x5x6x7x8x9x10x11x¬12x13x14x15 …show more content…
Let set S2 take all the values from the domain of relation R where the 13th bit of the equivalent bit string is 1. i.e., Set S2 contains all the values whose last four bits are of the form 1x13x14x15 where last three bits can take either 0 or 1 value. P2 Consider Partition P1 has three sets S3, S4 and S5 Let set S3 take all the values from the domain of relation R where the 13th bit of the equivalent bit string is 0. i.e., Set S3 contains all the values whose last four bits are of the form 0x13x14x15 where last three bits can take either 0 or 1 value. Let set S4 take all the values from the domain of relation R where 13th bit is 1 and the 14th bit is 0 of the equivalent bit string. i.e., Set S4 contains all the values whose last four bits are of the form 10x14x15 where last two bits can take either 0 or 1 value. Let set S5 take all the values from the domain of relation R where 13th bit is 1 and the 14th bit is 1 of the equivalent bit string. i.e., Set S5 contains all the values whose last four bits are of the form 11x14x15 where last two bits can take either 0 or 1
III SYNTHESIS AND SIMULATIONS RESULTS The simulation and synthesis work is finally done by the xilinix and modelsim respectively. Figure 5:synthesis results of Fault FFT. The figures intimate the fault injected FFT,which is checked by the manual error injected via all diferent possibilities by using RTL scripting. Eventhough the soft error is added in the FFT the error detector code 100% detect the errors and corrector correct the errors.
This will allow us to add two binary number together once it is built. There was an issue with the carry output LED turning on or off. The original schematics were modified by adding hex inverters after the output of the two NAND gate and last NOR gate. After fixing the issue, we successfully proven the truth table to the corresponding inputs and outputs. If the input were 1, 0, and 1 (A, B, and Cin), then the A and B input are added together along with the Cin.
p q R s p → q r → s T T T T T T F T T T F T F T T T F T T T F T T F F T T F T F T T F T T T F T F F F F T F F T F T T T F F F F T T F T T T T T F F T T F T F T F T F T T T F F T F F T T F F F T T T T F F F T F T
For most sequences at position 4 and 5 we observe only the nucleotides G and T, respectively. There may be rare cases where other nucleotides may also be found. To consider such observations, we need to do a process called additive smoothing or Laplace smoothing to smooth the categorical data. [9] In this case, we add 4 sequences: AAAAAAAAA, CCCCCCCCC, GGGGGGGG, TTTTTTTTT.
I need to find the area of rectangle ABCD. I know that ABCD is a rectangle with diagonals intersecting at point E. Segment DE equals 4x-5, segment BC equals 2x+6, and segment AC equals 6x. I predict that To find the area of rectangle ABCD I need to find out the base and height of the rectangle. The first step is to find what x equals. Since I know the intersecting line segments AC and DB are congruent that means when I times the equation 4x-5 for segment DE by two it will equal the equation 6x for segment AC.
The energy associated with each node would be displayed with each node. The nodes except the main source (that are fixed) are mobile. Energy Calculation: …………………………………………………………….Equation 9.2 Where, B= Magnetic flux density(Magnetic flux density is defined as the amount of magnetic flux in an area taken perpendicular to the magnetic flux 's direction.)
Once, the current rating and voltage rating are chosen, one needs to look at the data sheet of the connector to check whether it meets the given specifications. In the datasheet, one should look at the test procedure used to arrive at the specifications and check whether it meets the test standard. Not everyone uses the same testing criteria, so ensure you understand how these specifications were derived. It should also be confirmed that the contact will support the conductor size that has been chosen. A non-compatible conductor could cause overheating issues, leading to premature connector failure.
[■(1&1&-2@3&-1&0@3&3&1)] □(→┴(R_2-3R_1&R_3-3R_1 ) ) [■(1&1&-2@0&-4&6@0&0&7)] □(→┴(-1/4 R_2 ) ) [■(1&1&-2@0&1&2⁄3@0&0&7)] →┴(R_1-R_2 ) [■(1&0&(-8)⁄3@0&1&2⁄3@0&0&7)] →┴( 1/7 R_2 )
Using the data provided in each one of these tests it can be assumed that one has done the steps to be able to determine the magnitude and orientation of the charges of the tape in each test, thus, allowing them to apply the same principle to any object they so desired. Their results would line up with the following; that if the two pieces of tape are torn from the same 40 centimeter strip then the tops of both pieces of tape would be positive and the bottoms of both pieces of tape would be negative and that if they would double the tape the attraction or repulsion in general would lower due to the increased density. Their data would also show that two pieces of tape ripped from each other would result in one piece being entirely positive and the other being entirely negative, they would also be able to state that the orientation of how the tape is paired up doesn’t matter.
Chapter 7 is to discuss the actual implementation and issues found during the experiment. The number of issues that were found during the project will be discussed in this chapter. Types of issues that will be discussed, are component issues, integration issues and construction issues. A cost summary of the components that were bought, will be shown in this chapter. 7.2 COMPONENT AND INTEGRATION
"Relationship the way in which two or more concepts, objects, or people are connected, or the state of being connected". Relationship are shown in many different ways. Throughout our life we've read stories that dive into people's life. Stories that relate to a close bonds with one another. The book ‘Mice Men’ By John Steinbeck plummets into the live's of Lennie and George.
They have the following structure: KYYYYCCCCFFFFFBBBBBRRDSSSSSSSSEEEEEEE. The K distinguishes assigned RINs from separated RINs. Y is the calendar year of production or import date. C, F, and B tie the RIN to a precise company, facility, and its unique batch number. RR is the code for identifying the equivalence value.
The following higher inductive type represents this scenario (implemented in agda). data R : Set where tab_ : (l : Nat) → R switch : {l : Nat} → (tab l) ≡ (tab l) As we are using higher inductive type to represent this scenario we do not need constructors for identity, composition and inverses. We will map this higher inductive type R into the universe where the points of R are given by types (Vec Bool l) and the paths of R are given by bijections (switch-bij≃).
To do that, transform the records ⌐A to A in thesubset of records which support the rule ⌐A, B->⌐C and have minimum impact on other rules. Similarly we can do, Method 1: ⌐A, B->⌐C to A, B->⌐C Method 2: A, B->C to A, B->⌐C Method 3: ⌐A,B->⌐C to ⌐A, B->C Algorithm 1: Rule Protection (Method 1) Input : Original dataset, Freq Rule, PD rule, DIs, α Output : Transformed dataset foreachpdrule in PD rules FreqRule = FreqRule – pdrule DSc =