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lines changed Original file line number Diff line number Diff line change @@ -281,7 +281,7 @@ <h2>Planned Topics</h2>
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< li > Orbits (basically, shooting balls out of a cannon at different altitudes and velocities)</ li >
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< li > SIR Model of Pandemic spread</ li >
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< li > Boltzmann Distribution in a randomized exchange lattice</ li >
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- < li > Solve Travelling Salesman using Genetic ALgorithm , Simulated Annealing and Ant-Colony Optimization</ li >
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+ < li > Solve Travelling Salesman using Genetic Algorithm , Simulated Annealing and Ant-Colony Optimization</ li >
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< li > Raycasting</ li >
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</ ol >
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< html lang ="en-US ">
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< head >
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- < title > Gradient Descent| Visualize It</ title >
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+ < title > Gradient Descent | Visualize It</ title >
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< meta charset ="utf-8 " />
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< meta http-equiv ="X-UA-Compatible " content ="IE=edge " />
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< meta name ="viewport " content ="width=device-width, initial-scale=1 " />
Original file line number Diff line number Diff line change @@ -93,7 +93,7 @@ <h3>Description</h3>
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The energy of a lattice is calculated using the following formula:
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\[ E = - J \sum_{\lt ij \gt} s_i s_j \]
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In every Monte-Carlo step, a random spin is chosen and flipped. The change in energy of the system (\( \Delta E
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- \)) is calculated. If energy has decreased, then the flip is accepted. If energy has increases , then the flip is
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+ \)) is calculated. If energy has decreased, then the flip is accepted. If energy has increased , then the flip is
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accepted with a probability of:
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\[ P = \exp\left(\frac{-\Delta E}{k_B T}\right) \]
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This set of steps is known as the Metropolis algorithm. Higher temperature encourages unfavourable spins, thereby
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