Podcast
Questions and Answers
What privilege was granted to the Slovaks in Žilina in 1381 by Louis the Great?
What privilege was granted to the Slovaks in Žilina in 1381 by Louis the Great?
- Exemption from all taxes.
- The right to establish new markets.
- Equal representation in the municipal council. (correct)
- Freedom to choose their own king.
Which statement accurately describes the reign of Louis the Great?
Which statement accurately describes the reign of Louis the Great?
- He focused mainly on expanding territories to the east.
- He primarily reformed the military and legal systems.
- He faced minimal internal opposition during his rule.
- His daughter became the heir after his death. (correct)
What significant impact did Charles Robert's reign have on Hungary?
What significant impact did Charles Robert's reign have on Hungary?
- He completely eliminated noble power.
- He significantly weakened the power of magnates and strengthened royal authority. (correct)
- He initiated a period of economic decline due to excessive taxation.
- He established a lasting alliance with the Ottoman Empire.
Which development occurred regarding the importance of Slovak territories during the reigns of kings in Hungary?
Which development occurred regarding the importance of Slovak territories during the reigns of kings in Hungary?
What role did Sigismund of Luxembourg play in European politics beyond Hungary?
What role did Sigismund of Luxembourg play in European politics beyond Hungary?
Why was Sigismund of Luxembourg often away from Hungary?
Why was Sigismund of Luxembourg often away from Hungary?
What was the significance of Sigismund being crowned emperor in 1433?
What was the significance of Sigismund being crowned emperor in 1433?
What role did Bratislava Castle play during Sigismund's reign?
What role did Bratislava Castle play during Sigismund's reign?
Which statement accurately characterizes the Ottoman Empire's expansion during Sigismund's rule?
Which statement accurately characterizes the Ottoman Empire's expansion during Sigismund's rule?
What was the outcome of the battle at Nicopolis in 1396 where Sigismund fought against the Ottomans?
What was the outcome of the battle at Nicopolis in 1396 where Sigismund fought against the Ottomans?
What was a consequence of the Ottoman expansion when they threatened the southern borders of Hungary?
What was a consequence of the Ottoman expansion when they threatened the southern borders of Hungary?
Who was Bayezid I during the time of Ottoman expansion into Europe?
Who was Bayezid I during the time of Ottoman expansion into Europe?
What was the primary goal of convening the Council of Constance between 1414-1418?
What was the primary goal of convening the Council of Constance between 1414-1418?
How did the concept of an emperor evolve under Sigismund of Luxembourg?
How did the concept of an emperor evolve under Sigismund of Luxembourg?
Which significant shift occurred regarding the Hungarian throne that led to internal conflicts?
Which significant shift occurred regarding the Hungarian throne that led to internal conflicts?
What political strategy did Sigismund consistently employ to govern effectively given his frequent absences from Hungary?
What political strategy did Sigismund consistently employ to govern effectively given his frequent absences from Hungary?
How did Sigismund's policies affect urban development in Hungary?
How did Sigismund's policies affect urban development in Hungary?
What was the relationship between the Holy Roman Empire and Hungary during Sigismund's rule as emperor?
What was the relationship between the Holy Roman Empire and Hungary during Sigismund's rule as emperor?
In what way did the governance of Hungary change under Sigismund of Luxembourg compared to his predecessors?
In what way did the governance of Hungary change under Sigismund of Luxembourg compared to his predecessors?
How did internal strife and external threats, such as those from the Ottoman Empire, together influence Hungary’s societal structure during Sigismund’s rule?
How did internal strife and external threats, such as those from the Ottoman Empire, together influence Hungary’s societal structure during Sigismund’s rule?
Flashcards
Ludovit Velky
Ludovit Velky
Issued privileges for Slovaks in Žilina in 1381.
Sigismund Luxembourg
Sigismund Luxembourg
Sigismund of Luxembourg held the Hungarian crown.
Sigismund vs. Ottomans
Sigismund vs. Ottomans
Fought against expanding Ottoman Empire.
Konstanz Council
Konstanz Council
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Sigismund’s Power
Sigismund’s Power
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Sigismund’s Battles
Sigismund’s Battles
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1433
1433
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Ottoman expansion
Ottoman expansion
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Battle of Nicopolis (1396)
Battle of Nicopolis (1396)
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Church Schism
Church Schism
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Study Notes
- The Schrödinger equation is a mathematical equation describing the time evolution of a physical system.
- It is a key result in quantum mechanics.
- Different ways to write the Schrödinger equation depending on the physical system.
Time-dependent Schrödinger equation
- Equation: ( i\hbar\frac{\partial}{\partial t}\Psi(\mathbf{r},t) = \hat{H}\Psi(\mathbf{r},t) )
- ( i ) is the imaginary unit
- ( \hbar ) is the reduced Planck constant, ( \hbar = h/2\pi )
- ( \Psi(\mathbf{r},t) ) is the wavefunction of the system
- ( \hat{H} ) is the Hamiltonian operator
Time-independent Schrödinger equation
- Equation: (\hat{H}\Psi(\mathbf{r}) = E\Psi(\mathbf{r}))
- ( E ) is the energy of the system
- ( \Psi(\mathbf{r}) ) is the time-independent wavefunction of the system
Free particle Schrödinger equation
- Equation: ( -\frac{\hbar^2}{2m}\nabla^2\Psi(\mathbf{r}) = E\Psi(\mathbf{r}) )
- ( m ) is the mass of the particle
- ( \nabla^2 ) is the Laplacian operator.
Schrödinger equation for a particle in a potential
- Equation: ( -\frac{\hbar^2}{2m}\nabla^2\Psi(\mathbf{r}) + V(\mathbf{r})\Psi(\mathbf{r}) = E\Psi(\mathbf{r}) )
- ( V(\mathbf{r}) ) is the potential energy function
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