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(a) For the following expressions, do the following: (1) identify all summation indices and all f...
Simplify the following indicial expressions as much as possible. ΣΣ1C,B (a) Substitute Cii = -1 AipBpj...
Simplify the following indicial expressions as much as possible. ΣΣ1C,B (a) Substitute Cii = -1 AipBpj into a = k 1 Hint: Consider changing the index j to index k in the expression for C;i 3 ( b) Σ-Σ_ Σ1 Α, Βιδικ - Σ Σ Σ-12AB , im rį=1 i=1 m=1 Hint: Use the index substitution property of Kronecker delta first to simplify the expression. When you do that, the triple summation will reduce to double summation in each symbol...
2. Einstein Summation Convention Einstein Summation Convention: When an expression contains one index as a super...
2. Einstein Summation Convention Einstein Summation Convention: When an expression contains one index as a super script, and the same index as a subscript, a summation is implied over all values that index can take Examples: where the expression still represents four equations. An index that is summed over is called a dummy index, and can be replaced by another index if convenient. e.g The index in the above expression is not involved in the sum operation. Such an index...
please answers all of them! 1. Simplify, using algebraic manipulations, the following Boolean expressions to a...
please answers all of them!
1. Simplify, using algebraic manipulations, the following Boolean expressions to a mini- mum number of terms and factors. (a) XYZ + XY + XYZ (b) XYZ + XZ 2. Find the complement of the following expression: (a) XY + XY 3. Using DeMorgan's Theorem, express the following function .... (a) F= XY+XY + ÝZ ... with only OR and complement operations. 4. Propose and solve your own logic simplification problem using logic theorems 5. Simplify...
Question 1 - Regular Expressions Find regular expressions that define the following languages: 1. All even-length...
Question 1 - Regular Expressions Find regular expressions that define the following languages: 1. All even-length strings over the alphabet {a,b}. 2. All strings over the alphabet {a,b} with odd numbers of a's. 3. All strings over the alphabet {a,b} with even numbers of b’s. 4. All strings over the alphabet {a,b} that start and end with different symbols. 5. All strings over the alphabet {a, b} that do not contain the substring aab and end with bb.
For the circuit shown below do the following: a) Identify and label all meshes, numbering them...
For the circuit shown below do the following:
a) Identify and label all meshes, numbering them (1,2,3...)
starting at the left end of the circuit.
b) Use mesh current analysis to develop a set of independent
equations and simplify them......
For the circuit shown below do the following: (a) Identify and label all meshes, numbering them (1,2,3....) starting at the left end of the circuit. (b) Use mesh current analysis to develop a set of independent equations and simplify them...
6. For a positive real number z, the difference 1.-z- is called the fractional part of r. Given a...
6. For a positive real number z, the difference 1.-z- is called the fractional part of r. Given arbitrary positive real numbers a and b, state a condition in terms of the fractional parts of and that is necessary and sufficient for la + bl = lal + Ibl Prove that this equation is true if and only if your condition holds. 7. Evaluate 10002+4 23k+5 k- 2 algebraically and simplify as much as possible. You ust show all steps....
For the circuit shown below do the following: 1. Find expressions for vc(t) and i(t) for...
For the circuit shown below do the following: 1. Find expressions for vc(t) and i(t) for t 2 0. а. Find an expression for the power to the resistor, pR(t) b. Integrate the power to the resistor from t = 0 to co. С. d. Show that the total energy to the resistor is equal to the energy stored in the capacitor at t 0 Determine the time at which Vc(t) 25 V? е. t 0 i(t) vc(t) 2 HF...
1. In the following expressions, x and y represent lengths or positions, v represents a velocity,...
1. In the following expressions, x and y represent lengths or positions, v represents a velocity, a represents acceleration, t represents a time, m is mass, and k has the value 2m?1. Use dimensional analysis to identify the invalid relationships: (a) vf = vi+ax, (b) y = (2m) cos(kx), (c) mat = mvx, (d) 2 ln(va=vb) = 6 sin(tb=ta). 2. A certain particle's position x at a time t is given by x = ka^mt^n, where k, m, and n...
This is all one question. 3. Suppose Romeo and Juliet's love obeys the following differential equations: :/which has...
This is all one question.
3. Suppose Romeo and Juliet's love obeys the following differential equations: :/which has the following eigenvectors: 2 adwth egmao The matrix of this system is with eigenvalue 2, and 1 with eigenvalue-4 We wil use these two eigenvectors to define a new coordinate system, and we will use u and v to represent these coordinates. However, in this problem, we will treat u and v as new variables. Your goal is to rewrite this system...
will thumbs up if you do all parts of the question [2] The energy expressions for...
will thumbs up if you do all parts of the question
[2] The energy expressions for the electrons in the He+ ion and the hydrogen atom are I E,(H)=-a/n?, E,(He+) = -4a/m2 Which of the following statements are correct? 1. For transitions ni + n2, the frequency is larger for H than for Het II. The first ionization energy of the H atom is smaller than the second ionization energy of the He atom. III. The ls orbital in Het...
Simplify the following indicial expressions as much as possible. ΣΣ1C,B (a) Substitute Cii = -1 AipBpj into a = k 1 Hint: Consider changing the index j to index k in the expression for C;i 3 ( b) Σ-Σ_ Σ1 Α, Βιδικ - Σ Σ Σ-12AB , im rį=1 i=1 m=1 Hint: Use the index substitution property of Kronecker delta first to simplify the expression. When you do that, the triple summation will reduce to double summation in each symbol...
2. Einstein Summation Convention Einstein Summation Convention: When an expression contains one index as a super script, and the same index as a subscript, a summation is implied over all values that index can take Examples: where the expression still represents four equations. An index that is summed over is called a dummy index, and can be replaced by another index if convenient. e.g The index in the above expression is not involved in the sum operation. Such an index...
please answers all of them!
1. Simplify, using algebraic manipulations, the following Boolean expressions to a mini- mum number of terms and factors. (a) XYZ + XY + XYZ (b) XYZ + XZ 2. Find the complement of the following expression: (a) XY + XY 3. Using DeMorgan's Theorem, express the following function .... (a) F= XY+XY + ÝZ ... with only OR and complement operations. 4. Propose and solve your own logic simplification problem using logic theorems 5. Simplify...
Question 1 - Regular Expressions Find regular expressions that define the following languages: 1. All even-length strings over the alphabet {a,b}. 2. All strings over the alphabet {a,b} with odd numbers of a's. 3. All strings over the alphabet {a,b} with even numbers of b’s. 4. All strings over the alphabet {a,b} that start and end with different symbols. 5. All strings over the alphabet {a, b} that do not contain the substring aab and end with bb.
For the circuit shown below do the following:
a) Identify and label all meshes, numbering them (1,2,3...)
starting at the left end of the circuit.
b) Use mesh current analysis to develop a set of independent
equations and simplify them......
For the circuit shown below do the following: (a) Identify and label all meshes, numbering them (1,2,3....) starting at the left end of the circuit. (b) Use mesh current analysis to develop a set of independent equations and simplify them...
6. For a positive real number z, the difference 1.-z- is called the fractional part of r. Given arbitrary positive real numbers a and b, state a condition in terms of the fractional parts of and that is necessary and sufficient for la + bl = lal + Ibl Prove that this equation is true if and only if your condition holds. 7. Evaluate 10002+4 23k+5 k- 2 algebraically and simplify as much as possible. You ust show all steps....
For the circuit shown below do the following: 1. Find expressions for vc(t) and i(t) for t 2 0. а. Find an expression for the power to the resistor, pR(t) b. Integrate the power to the resistor from t = 0 to co. С. d. Show that the total energy to the resistor is equal to the energy stored in the capacitor at t 0 Determine the time at which Vc(t) 25 V? е. t 0 i(t) vc(t) 2 HF...
This is all one question.
3. Suppose Romeo and Juliet's love obeys the following differential equations: :/which has the following eigenvectors: 2 adwth egmao The matrix of this system is with eigenvalue 2, and 1 with eigenvalue-4 We wil use these two eigenvectors to define a new coordinate system, and we will use u and v to represent these coordinates. However, in this problem, we will treat u and v as new variables. Your goal is to rewrite this system...
will thumbs up if you do all parts of the question
[2] The energy expressions for the electrons in the He+ ion and the hydrogen atom are I E,(H)=-a/n?, E,(He+) = -4a/m2 Which of the following statements are correct? 1. For transitions ni + n2, the frequency is larger for H than for Het II. The first ionization energy of the H atom is smaller than the second ionization energy of the He atom. III. The ls orbital in Het...
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