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1. Top results related to mathematical logic tutorial

   • Tutorial on Boolean Logic as used in Assembly

     Top Answer

     Answered Jan 17, 2012 · 3 votes

     Annotated code:

     mov eax, [ebp+Ch] ; grab our 32-bit valueshl eax, 8 ; shift it left 8 bits, so the top 8 bits are shifted out ; and the bottom 8 bits are filled w/ 0mov ecx, [ebp+Ch] ; grab our 32-bit value againshr ecx, 8 ; shift this copy right 8 bits, so the bottom 8 bits are ; shifted out and the top 8 bits are filled w/ 0or eax, ecx ; perform A = A or C for each set of same-aligned bits in ; EAX (A) and ECX (C)

     So if the original value was ABCD (each letter being an 8-bit byte), then before the or is performed, EAX would have BCD0 and ECX would have 0ABC.

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     1/5

   • Mathematical Algorithms

     What are Mathematical Algorithms?

     Mathematical algorithm can be defined as an algorithm or procedure which is utilized to solve a mathematical problem, or mathematical problem which can be solved using DSA.

     In the field of DSA, mathematical algorithms refer to those algorithms which are generally used to solve problems related to the field of computer science.

     What are some use cases of Mathematical Algorithms?

     It is a very useful topic for solving problems of computer science and also has vast applications in competitive programming. Some of them are mentioned below:

     • Problem-Solving: It is mostly used in solving complex mathematical ideas in mathematics and computer science.
     • Competitive Programming: Algorithms like Sieve of Eratosthenes, Euclid algorithm, Binary exponentiation are some of the most common topics used in competitive programming.

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     2/5

   • Mathematical expressions string parsing in JAVA

     Top Answer

     Answered May 23, 2013 · 0 votes

     If we can assume each token is space delimited and it is a non-Polish notation this will be sufficient:

     Queue<Integer> numerals = new Queue<Integer>();Queue<String> operators = new Queue<String>();String[] tokens = input.split(" "); int numeralIndex = 0;for(String token:tokens) { if(numeralIndex %2 == 0) { numerals.enqueue(Integer.parseInt(token)); } else{ operators.enqueue(token); } numeralIndex++; }

     Now that you have the tokens in order you need to remove them from the queues to reassemble your initial calculation. You will also need the list of symbols so that you can correctly bind the statements:

     int runningTotal = 0;if(operator.equals("+") { runningTotal += (previous+current); }else if(operator.equals("-") { runningTotal-=(previous-current);} //etc

     I will leave the rest as an exercise for your homework assignment.

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     3/5

   • Mathematical function differentiation with C#?

     Top Answer

     Answered Mar 13, 2012 · 41 votes

     You can't calculate the exact derivative of a function using a computer program (unless you're doing symbolic math... but that's another, way more complicated, topic).

     There are several approaches to computing a numerical derivative of a function. The simplest is the centered three-point method:

     • Take a small number h
     • Evaluate [f(x+h) - f(x-h)] / 2h
     • Voilà, an approximation of f'(x), with only two function evaluations

     Another approach is the centered five-point method:

     • Take a small number h
     • Evaluate [f(x-2h) - 8f(x-h) + 8f(x+h) - f(x+2h)] / 12h
     • Voilà, a better approximation of f'(x), but it requires more function evaluations

     Another topic is how to implement this using C#. First, you need a delegate that represents a function that maps a subset of the real numbers onto a another subset of the real numbers:

     delegate double RealFunction(double arg);-

     Then, you need a routing that evaluates the derivative:

     public double h = 10e-6; // I'm not sure if this is valid C#, I'm used to C++-static double Derivative(RealFunction f, double arg){ double h2 = h*2; return (f(x-h2) - 8*f(x-h) + 8*f(x+h) - f(x+h2)) / (h2*6);}

     If you want an object-oriented implementation, you should create the following classes:

     interface IFunction{ // Since operator () can't be overloaded, we'll use this trick. double this[double arg] { get; }}class Function : IFunction{ RealFunction func; public Function(RealFunction func) { this.func = func; } public double this[double arg] { get { return func(arg); } }}class Derivative : IFunction{ IFunction func; public static double h = 10e-6; public Derivative(IFunction func) { this.func = func; } public double this[double arg] { get { double h2 = h*2; return ( func[arg - h2] - func[arg + h2] + ( func[arg + h] - func[arg - h] ) * 8 ) / (h2 * 6); } }}

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     4/5

   • Mathematical Algorithms

     What are Mathematical Algorithms?

     Mathematical algorithm can be defined as an algorithm or procedure which is utilized to solve a mathematical problem, or mathematical problem which can be solved using DSA.

     In the field of DSA, mathematical algorithms refer to those algorithms which are generally used to solve problems related to the field of computer science.

     What are some use cases of Mathematical Algorithms?

     It is a very useful topic for solving problems of computer science and also has vast applications in competitive programming. Some of them are mentioned below:

     • Problem-Solving: It is mostly used in solving complex mathematical ideas in mathematics and computer science.
     • Competitive Programming: Algorithms like Sieve of Eratosthenes, Euclid algorithm, Binary exponentiation are some of the most common topics used in competitive programming.

     Check all answers on Geeksforgeeks

     5/5

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2. www.geeksforgeeks.org › introduction-toIntroduction to Mathematical Logic - GeeksforGeeks

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   1 day ago · The basic mathematical logic operators are: Conjunction. Disjunction. Negation. Implication. Double Implication. Conjunction. In mathematical logic conjunction of two statements results in true when both the statements are true otherwise false. Conjunction is also known as AND operator and is represented by ∧.

3. Videos

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     Maths for Programmers Tutorial - Full Course on Sets and Logic

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     12th Maths-1 | Chapter No 1 | Mathematical Logic | Lecture 1 | Maharashtra Board |

     Jul 19, 2022

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     Truth Table Tutorial - Discrete Mathematics Logic

     Mar 26, 2014

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4. www.tutorialspoint.com › introduction-toIntroduction to Mathematical Logic! - Online Tutorials Library

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   • Major Categories
   • Propositional Logic
   • Predicate Logic
   • Rules of Inference
   • Example

   Mathematical logics can be broadly categorized into three categories. 1. Propositional Logic− Propositional Logic is concerned with statements to which the truth values, "true" and "false", can be assigned. The purpose is to analyse these statements either individually or in a composite manner. 2. Predicate Logic− Predicate Logic deals with predica...

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   A proposition is a collection of declarative statements that has either a truth value "true" or a truth value "false". A propositional consists of propositional variables and connectives. We denote the propositional variables by capital letters (A, B, etc). The connectives connect the propositional variables. Some examples of Propositions are given...

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   A predicate is an expression of one or more variables defined on some specific domain. A predicate with variables can be made a proposition by either assigning a value to the variable or by quantifying the variable. The following are some examples of predicates − 1. Let E(x, y) denote "x = y" 2. Let X(a, b, c) denote "a + b + c = 0" 3. Let M(x, y) ...

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   Mathematical logic is often used for logical proofs. Proofs are valid arguments that determine the truth values of mathematical statements. An argument is a sequence of statements. The last statement is the conclusion and all its preceding statements are called premises (or hypothesis). The symbol “∴∴”, (read therefore) is placed before the conclus...

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   Let P be the proposition, "He studies very hard" is true Therefore − "Either he studies very hard Or he is a very bad student." Here Q is the proposition "he is a very bad student".

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5. www.mathlogic.academyAlex's Introduction to Mathematical Logic!

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   Welcome to my web page about Mathematical Logic! The goal of this web page is to introduce the basics of Mathematical Logic. After reading the brief introduction, you will be able to download my interactive tutorials (written in Java and JavaFX), and practice what you have learned.

6. People also ask

   What is mathematical logic?

   • Introduction to Mathematical Logic! The rules of mathematical logic specify methods of reasoning mathematical statements. Greek philosopher, Aristotle, was the pioneer of logical reasoning. Logical reasoning provides the theoretical base for many areas of mathematics and consequently computer science.

   Introduction to Mathematical Logic! - Online Tutorials Library

   www.tutorialspoint.com/introduction-to-mathematical-logic

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   What are the three types of mathematical logic?

   • Mathematical logics can be broadly categorized into three categories. Propositional Logic − Propositional Logic is concerned with statements to which the truth values, "true" and "false", can be assigned. The purpose is to analyse these statements either individually or in a composite manner.

   Introduction to Mathematical Logic! - Online Tutorials Library

   www.tutorialspoint.com/introduction-to-mathematical-logic

   See all results for this question

   Who invented logical reasoning?

   • Introduction to Mathematical Logic - The rules of mathematical logic specify methods of reasoning mathematical statements. Greek philosopher, Aristotle, was the pioneer of logical reasoning. Logical reasoning provides the theoretical base for many areas of mathematics and consequently computer science.

   Introduction to Mathematical Logic! - Online Tutorials Library

   www.tutorialspoint.com/introduction-to-mathematical-logic

   See all results for this question

   What are the rules of logic?

   • Logic is the basis of all mathematical reasoning and all automated reasoning. The rules of logic specify the meaning of mathematical statements. These rules help us understand and reason with statements such as – \\exists x such that x\ eq a^2 + b^2, where \\:x,a,b\\in Z

   Propositional Logic - Definition & Truth Table - GeeksforGeeks

   www.geeksforgeeks.org/proposition-logic/

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7. www.geeksforgeeks.org › proposition-logicPropositional Logic - Definition & Truth Table - GeeksforGeeks

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   May 13, 2024 · Propositional logic is a branch of mathematics that studies the logical relationships between propositions (or statements, sentences, assertions) taken as a whole, and connected via logical connectives. In this article, we have covered in detail about propositional logic and related topics.

   • Video Duration: 9 min

8. www.tutorialspoint.com › discrete_mathematicsDiscrete Mathematics - Propositional Logic

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   Prepositional Logic – Definition. A proposition is a collection of declarative statements that has either a truth value "true” or a truth value "false". A propositional consists of propositional variables and connectives. We denote the propositional variables by capital letters (A, B, etc).

9. www.maths.ox.ac.uk › system › filesB1.1 Logic - University of Oxford

   www.maths.ox.ac.uk › system › files

   1. What is mathematical logic about? • provide a uniform, unambiguous language for mathematics • make precise what a proof is • explain and guarantee exactness, rigor and certainty in mathematics • establish the foundations of mathematics B1 (Foundations) = B1.1 (Logic) + B1.2 (Set theory) N.B.: Course does not teach you to think ...

10. web.stanford.edu › class › archiveMathematical Logic - Stanford University

    web.stanford.edu › class › archive

    True: ⊤. False: ⊥. Logical Equivalence. Two propositional formulas φ and ψ are called equivalent if they have the same truth tables. We denote this by writing φ ≡ ψ. Some examples: ¬(p. ∧ q) ∨ q) ≡ ¬p ≡ ¬p. ∨ ¬q ∧ ¬q. ¬p ∨ q. p ∧ ¬q. ≡ p → q ≡ ¬(p → q) New Stuf ! Why All This Matters. Suppose we want to prove the following statement: “If x + y.