• Elliot Waves Settings: Elliot Waves were updated. The current wavelength is 13.

• BRW VaR at confidence level 95.0%: in the next candle, the price will fluctuate around 1.08 and with 95.0% probability will not go below 1.08 or above 1.08.
  
• Historical simulation at confidence level 95.0%: in the next candle, the price will fluctuate around 1.08 and with 95.0% probability will not go below 1.08 or above 1.08.
  
• Multifractal range at confidence level 95.0%: in the next 256 candles, the price will fluctuate around 1.08 and with 95.0% probability will not go below 1.07 or above 1.1.
  
• Fibonacci with seven retracements: the price is likely to rebound upward from the nearest Fibonacci support of 1.08 at the level of 76.4%. The nearest Fibonacci resistance is 1.09 at the level of 100.0%.
  
• Fibonacci with five retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 1.09 at the level of 100.0%. The nearest Fibonacci support is 1.08 at the level of 61.8%.
  
• Fibonacci with four retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 1.09 at the level of 100.0%. The nearest Fibonacci support is 1.08 at the level of 61.8%.
  
• MVaR bounds at confidence level 95.0%: in the next candle, the price will fluctuate around 1.08 and with 95.0% probability will not go below 1.08 or above 1.08.
  

• AR model at confidence level 95.0%: the AR model forecasts a return of 0.0087% in the next candle, the price will fluctuate around 1.08 and with 95.0% probability will not go below 1.08 or above 1.08.

• Power law: According to the indicator, the stability of the market is uncertain
  
• Student degrees of freedom: According to the indicator, the stability of the market is uncertain
  
• Tukey lambda: According to the indicator, the stability of the market is uncertain
  

• Elliot Waves Settings: Elliot Waves were updated. The current wavelength is 3.

• BRW VaR at confidence level 95.0%: in the next candle, the price will fluctuate around 61266.09 and with 95.0% probability will not go below 60823.77 or above 61644.63.
  
• Historical simulation at confidence level 95.0%: in the next candle, the price will fluctuate around 61266.74 and with 95.0% probability will not go below 60824.88 or above 61646.47.
  
• Multifractal range at confidence level 95.0%: in the next 256 candles, the price will fluctuate around 61906.76 and with 95.0% probability will not go below 53792.97 or above 66675.0.
  
• Fibonacci with seven retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 61774.38 at the level of 50.0%. The nearest Fibonacci support is 60497.95 at the level of 38.2%.
  
• Fibonacci with five retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 61774.38 at the level of 50.0%. The nearest Fibonacci support is 60497.95 at the level of 38.2%.
  
• Fibonacci with four retracements: the price is likely to rebound upward from the nearest Fibonacci support of 60497.95 at the level of 38.2%. The nearest Fibonacci resistance is 63050.81 at the level of 61.8%.
  
• MVaR bounds at confidence level 95.0%: in the next candle, the price will fluctuate around 61309.21 and with 95.0% probability will not go below 60773.61 or above 61623.96.
  

• AR model at confidence level 95.0%: the AR model forecasts a return of 0.0631% in the next candle, the price will fluctuate around 61310.42 and with 95.0% probability will not go below 60838.62 or above 61782.23.

• Power law: According to the indicator, the stability of the market is uncertain
  
• Student degrees of freedom: According to the indicator, the stability of the market is uncertain
  
• Tukey lambda: According to the indicator, the stability of the market is uncertain
  

• Elliot Waves Settings: Elliot Waves were updated. The current wavelength is 21.

• BRW VaR at confidence level 95.0%: in the next candle, the price will fluctuate around 82.06 and with 95.0% probability will not go below 81.73 or above 82.39.
  
• Historical simulation at confidence level 95.0%: in the next candle, the price will fluctuate around 82.06 and with 95.0% probability will not go below 81.73 or above 82.4.
  
• Multifractal range at confidence level 95.0%: in the next 256 candles, the price will fluctuate around 82.98 and with 95.0% probability will not go below 73.28 or above 86.62.
  
• Fibonacci with seven retracements: the price is likely to rebound upward from the nearest Fibonacci support of 81.54 at the level of 0.0%. The nearest Fibonacci resistance is 84.14 at the level of 23.6%.
  
• Fibonacci with five retracements: the price is likely to rebound upward from the nearest Fibonacci support of 81.54 at the level of 0.0%. The nearest Fibonacci resistance is 85.75 at the level of 38.2%.
  
• Fibonacci with four retracements: the price is likely to rebound upward from the nearest Fibonacci support of 81.54 at the level of 0.0%. The nearest Fibonacci resistance is 85.75 at the level of 38.2%.
  
• MVaR bounds at confidence level 95.0%: in the next candle, the price will fluctuate around 82.1 and with 95.0% probability will not go below 81.6 or above 82.29.
  

• AR model at confidence level 95.0%: the AR model forecasts a return of -0.0465% in the next candle, the price will fluctuate around 82.03 and with 95.0% probability will not go below 81.64 or above 82.42.

• Power law: According to the indicator, the market is unstable
  
• Student degrees of freedom: According to the indicator, the stability of the market is uncertain
  
• Tukey lambda: According to the indicator, the stability of the market is uncertain
  

• Elliot Waves Settings: Elliot Waves were updated. The current wavelength is 13.

• BRW VaR at confidence level 95.0%: in the next candle, the price will fluctuate around 1.08 and with 95.0% probability will not go below 1.08 or above 1.08.
  
• Historical simulation at confidence level 95.0%: in the next candle, the price will fluctuate around 1.08 and with 95.0% probability will not go below 1.08 or above 1.08.
  
• Multifractal range at confidence level 95.0%: in the next 256 candles, the price will fluctuate around 1.08 and with 95.0% probability will not go below 1.07 or above 1.1.
  
• Fibonacci with seven retracements: the price is likely to rebound upward from the nearest Fibonacci support of 1.08 at the level of 76.4%. The nearest Fibonacci resistance is 1.09 at the level of 100.0%.
  
• Fibonacci with five retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 1.09 at the level of 100.0%. The nearest Fibonacci support is 1.08 at the level of 61.8%.
  
• Fibonacci with four retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 1.09 at the level of 100.0%. The nearest Fibonacci support is 1.08 at the level of 61.8%.
  
• MVaR bounds at confidence level 95.0%: in the next candle, the price will fluctuate around 1.08 and with 95.0% probability will not go below 1.08 or above 1.08.
  

• AR model at confidence level 95.0%: the AR model forecasts a return of 0.0087% in the next candle, the price will fluctuate around 1.08 and with 95.0% probability will not go below 1.08 or above 1.08.

• Power law: According to the indicator, the stability of the market is uncertain
  
• Student degrees of freedom: According to the indicator, the stability of the market is uncertain
  
• Tukey lambda: According to the indicator, the stability of the market is uncertain
  

• Elliot Waves Settings: Elliot Waves were updated. The current wavelength is 3.

• BRW VaR at confidence level 95.0%: in the next candle, the price will fluctuate around 61266.09 and with 95.0% probability will not go below 60823.77 or above 61644.63.
  
• Historical simulation at confidence level 95.0%: in the next candle, the price will fluctuate around 61266.74 and with 95.0% probability will not go below 60824.88 or above 61646.47.
  
• Multifractal range at confidence level 95.0%: in the next 256 candles, the price will fluctuate around 61906.76 and with 95.0% probability will not go below 53792.97 or above 66675.0.
  
• Fibonacci with seven retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 61774.38 at the level of 50.0%. The nearest Fibonacci support is 60497.95 at the level of 38.2%.
  
• Fibonacci with five retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 61774.38 at the level of 50.0%. The nearest Fibonacci support is 60497.95 at the level of 38.2%.
  
• Fibonacci with four retracements: the price is likely to rebound upward from the nearest Fibonacci support of 60497.95 at the level of 38.2%. The nearest Fibonacci resistance is 63050.81 at the level of 61.8%.
  
• MVaR bounds at confidence level 95.0%: in the next candle, the price will fluctuate around 61309.21 and with 95.0% probability will not go below 60773.61 or above 61623.96.
  

• AR model at confidence level 95.0%: the AR model forecasts a return of 0.0631% in the next candle, the price will fluctuate around 61310.42 and with 95.0% probability will not go below 60838.62 or above 61782.23.

• Power law: According to the indicator, the stability of the market is uncertain
  
• Student degrees of freedom: According to the indicator, the stability of the market is uncertain
  
• Tukey lambda: According to the indicator, the stability of the market is uncertain
  

• Elliot Waves Settings: Elliot Waves were updated. The current wavelength is 21.

• BRW VaR at confidence level 95.0%: in the next candle, the price will fluctuate around 82.06 and with 95.0% probability will not go below 81.73 or above 82.39.
  
• Historical simulation at confidence level 95.0%: in the next candle, the price will fluctuate around 82.06 and with 95.0% probability will not go below 81.73 or above 82.4.
  
• Multifractal range at confidence level 95.0%: in the next 256 candles, the price will fluctuate around 82.98 and with 95.0% probability will not go below 73.28 or above 86.62.
  
• Fibonacci with seven retracements: the price is likely to rebound upward from the nearest Fibonacci support of 81.54 at the level of 0.0%. The nearest Fibonacci resistance is 84.14 at the level of 23.6%.
  
• Fibonacci with five retracements: the price is likely to rebound upward from the nearest Fibonacci support of 81.54 at the level of 0.0%. The nearest Fibonacci resistance is 85.75 at the level of 38.2%.
  
• Fibonacci with four retracements: the price is likely to rebound upward from the nearest Fibonacci support of 81.54 at the level of 0.0%. The nearest Fibonacci resistance is 85.75 at the level of 38.2%.
  
• MVaR bounds at confidence level 95.0%: in the next candle, the price will fluctuate around 82.1 and with 95.0% probability will not go below 81.6 or above 82.29.
  

• AR model at confidence level 95.0%: the AR model forecasts a return of -0.0465% in the next candle, the price will fluctuate around 82.03 and with 95.0% probability will not go below 81.64 or above 82.42.

• Power law: According to the indicator, the market is unstable
  
• Student degrees of freedom: According to the indicator, the stability of the market is uncertain
  
• Tukey lambda: According to the indicator, the stability of the market is uncertain
  

import numpy as np class Capsule(): def __init__(self, axes_acc = 3, axes_mag = 3, radius = 400): self.axes_acc = axes_acc self.axes_mag = axes_mag self.g = 9.81 self.r = radius def generate_acc_data(self, ground_truth_ang:tuple): phi,theta,psi = ground_truth_ang Rx = np.array([[1, 0, 0], [0, np.cos(phi), -np.sin(phi)], [0, np.sin(phi), np.cos(phi)]]) Ry = np.array([[np.cos(theta), 0, np.sin(theta)], [0, 1, 0], [-np.sin(theta), 0, np.cos(theta)]]) Rz = np.array([[np.cos(psi), -np.sin(psi), 0], [np.sin(psi), np.cos(psi), 0], [0, 0, 1]]) g = np.array([0, 0, -self.g]) return Rz @ Ry @ Rx @ g def generate_position_data(self,num_points): radius = self.r min_z = -radius max_z = 0 positions = [] while len(positions) < num_points: x = np.random.uniform(-radius, radius) y = np.random.uniform(-radius, radius) z = np.random.uniform(min_z, max_z) # Check if within the sphere if x**2 + y**2 + z**2 <= radius**2: # Ensure magnitude constraint is met and z-component constraint pc_magnitude = np.sqrt(x**2 + y**2 + z**2) if pc_magnitude > 20*1e-3 and -z * pc_magnitude > 25.4*1e-3: positions.append((x, y, z)) return np.array(positions) #test if __name__ == '__main__': import matplotlib.pyplot as plt from mpl_toolkits.mplot3d import Axes3D capsule = Capsule() num_samples = 20 test_positions = capsule.generate_position_data(num_samples) # Set up the figure and axis fig = plt.figure() ax = fig.add_subplot(111, projection='3d') # Sphere u = np.linspace(0, 2 * np.pi, 100) v = np.linspace(0, np.pi, 100) x = 400 * np.outer(np.cos(u), np.sin(v)) y = 400 * np.outer(np.sin(u), np.sin(v)) z = 400 * np.outer(np.ones(np.size(u)), np.cos(v)) # Only the lower hemisphere ax.plot_surface(x, y, z, color='b', alpha=0.1) # Transparent sphere # Plotting the test positions ax.scatter(test_positions[:, 0], test_positions[:, 1], test_positions[:, 2], color='red') # Axis labels ax.set_xlabel('X (mm)') ax.set_ylabel('Y (mm)') ax.set_zlabel('Z (mm)') # Set aspect ratio ax.set_box_aspect([1,1,1]) # Equal aspect ratio # Show the plot plt.show() 

class Dipole(): def __init__(self, radium = 400, mgt_m = 1): self.r = radium self.value = mgt_m 

import numpy as np from scipy.optimize import least_squares import matplotlib.pyplot as plt from capsule import Capsule from dipole import Dipole class Simulator(): def __init__(self, radium = 400, # mm num_samples = 10, axes_acc = 3, axes_mag = 3, mgt_m = 66.0, # A*m^2 noise=None): self.r = radium / 1000 self.num_samples = num_samples self.axes_acc = axes_acc self.axes_mag = axes_mag self.mgt_m = mgt_m self.capsule = Capsule(axes_acc=self.axes_acc, axes_mag=self.axes_mag, radius=self.r) self.dipole = Dipole(radium=self.r,mgt_m=self.mgt_m) self.noise = noise def magnetic_field_model(self,pc,me): mu0 = 4 * np.pi * 1e-7 norm_pc = np.linalg.norm(pc) norm_me = np.linalg.norm(me) if pc.ndim == 1: pc = pc.reshape(-1, 1) if me.ndim == 1: me = me.reshape(-1, 1) B = (mu0 * norm_me) / (4 * np.pi * norm_pc**3) term = (3 * np.dot(pc, pc.T) / norm_pc**2) - np.identity(3) b = B * (term @ (me / norm_me)) return b def rotate_vector(self,vec, axis, angle): axis = axis / np.linalg.norm(axis) cos_theta = np.cos(angle) sin_theta = np.sin(angle) cross_product = np.cross(axis, vec) dot_product = np.dot(axis, vec) rotated_vector = cos_theta * vec + sin_theta * cross_product + (1 - cos_theta) * dot_product * axis return rotated_vector def generate_rotating_me(self,): initial_dipole = np.array([0,0,self.mgt_m]) axes = [np.array([1, 0, 0]), np.array([0, 1, 0]), np.array([0, 0, 1])] angles = np.linspace(0, np.pi/2, 50) dipole_moments = [] for i in range(len(axes)): for j in range(i + 1, len(axes)): for angle_i in angles: for angle_j in angles: # First rotate around one axis intermed_dipole = self.rotate_vector(initial_dipole, axes[i], angle_i) # Then rotate the result around another axis rotated_dipole = self.rotate_vector(intermed_dipole, axes[j], angle_j) dipole_moments.append(rotated_dipole) return dipole_moments def calculate_angles(self,g): gx, gy, gz = g theta = np.arctan2(-gx, np.sqrt(gy**2 + gz**2)) phi = np.arctan2(gy, gz) return theta, phi def rotation_matrix(self,theta,phi,psi): Rx = np.array([[1, 0, 0], [0, np.cos(phi), -np.sin(phi)], [0, np.sin(phi), np.cos(phi)]]) Ry = np.array([[np.cos(theta), 0, np.sin(theta)], [0, 1, 0], [-np.sin(theta), 0, np.cos(theta)]]) Rz = np.array([[np.cos(psi), -np.sin(psi), 0], [np.sin(psi), np.cos(psi), 0], [0, 0, 1]]) return Rz.T @ Ry.T @ Rx.T def calculate_bm(self,pos, me, phi,theta, psi, type='x-y'): if type == 'x-y': P = np.array([[1,0,0],[0,1,0]]) elif type == 'y-z': P = np.array([[0,1,0],[0,0,1]]) else: raise ValueError("Invalid type specified. Use 'x-y' or 'y-z'.") b = self.magnetic_field_model(pos,me) rotation = self.rotation_matrix(theta,phi,psi) bm = P @ rotation @ b return bm def objective_function(self,x,pc,mes,ro_truth,type='x-y'): pos = x[:3] # Updated position psi = x[3] # Updated psi rotation angle g_reading = self.capsule.generate_acc_data(ro_truth) g_reading_noise = np.random.normal(0,0.002,3) + g_reading # Calculate angles from accelerometer data theta, phi = self.calculate_angles(g_reading) theta_n, phi_n = self.calculate_angles(g_reading_noise) residuals = [] mes_noise = mes + np.random.normal(0,10.6*1e-6,3) if self.noise: for me_noise, me in zip(mes_noise,mes): # me_noise = me + np.random.normal(0,10.6*1e-6,3) # Calculate modeled magnetometer data based on the current position and pose Bm = self.calculate_bm(pos, me_noise, phi_n, theta_n, psi, type) # Objective: minimize the difference between actual magnetic field and modeled field Be = self.calculate_bm(pc, me, phi, theta, ro_truth[-1], type) residuals.extend(Bm - Be) else: for me in mes: # Calculate modeled magnetometer data based on the current position and pose Bm = self.calculate_bm(pos, me, phi, theta, psi, type) # Objective: minimize the difference between actual magnetic field and modeled field Be = self.calculate_bm(pc, me, phi, theta, ro_truth[-1], type) residuals.extend(Bm - Be) return np.array(residuals).flatten() def simulate(self,): # generate test points test_positions = self.capsule.generate_position_data(self.num_samples) ro_truth = (np.radians(0),np.radians(0),np.radians(10)) results = [] for pc in test_positions: print("--------------------------------------") print("Ground Truth: {}".format(pc)) dipole_moments = self.generate_rotating_me() # x0 = np.array([110*1e-3,-30*1e-3,-81*1e-3,0]) # six init values X = [np.array([-81*1e-3,-81*1e-3,-81*1e-3,0]), np.array([110*1e-3,-30*1e-3,-81*1e-3,0]), np.array([-30*1e-3,110*1e-3,-81*1e-3,0]), np.array([-81*1e-3,-81*1e-3,-81*1e-3,np.radians(180)]), np.array([110*1e-3,-30*1e-3,-81*1e-3,np.radians(180)]), np.array([-30*1e-3,110*1e-3,-81*1e-3,np.radians(180)]),] flag = 0 for x0 in X: print("current test position: {}".format(x0)) result = least_squares(lambda x: self.objective_function(x, pc, dipole_moments, ro_truth, 'x-y'), x0, method='lm', verbose=2) if result.x[-2] > 0: for i in range(3): result.x[i] = -result.x[i] distance = np.linalg.norm(result.x[:3] - pc) if distance < 1e-4: flag = 1 print("the estimated: {}".format(result.x)) break if flag == 0: print("Don't find the global minimum") results.append(result.x) print("--------------------------------------") self.plot(test_positions,np.array(results)) return results def plot(self,truth_pos,estimated_pos): fig = plt.figure() ax = fig.add_subplot(111, projection='3d') ax.scatter(truth_pos[:, 0]*1e3, truth_pos[:, 1]*1e3, truth_pos[:, 2]*1e3, c='b', label='Truth') ax.scatter(estimated_pos[:, 0]*1e3, estimated_pos[:, 1]*1e3, estimated_pos[:, 2]*1e3, c='r', label='Estimated') ax.set_xlabel('X (mm)') ax.set_ylabel('Y (mm)') ax.set_zlabel('Z (mm)') ax.set_title('Truth vs Estimated Positions') ax.legend() plt.show() if __name__ == "__main__": np.random.seed(1) simulator = Simulator(noise=True) # simulator = Simulator() results = simulator.simulate() 

• Elliot Waves Settings: Elliot Waves were updated. The current wavelength is 13.

• BRW VaR at confidence level 95.0%: in the next candle, the price will fluctuate around 1.08 and with 95.0% probability will not go below 1.08 or above 1.08.
  
• Historical simulation at confidence level 95.0%: in the next candle, the price will fluctuate around 1.08 and with 95.0% probability will not go below 1.08 or above 1.08.
  
• Multifractal range at confidence level 95.0%: in the next 256 candles, the price will fluctuate around 1.08 and with 95.0% probability will not go below 1.07 or above 1.1.
  
• Fibonacci with seven retracements: the price is likely to rebound upward from the nearest Fibonacci support of 1.08 at the level of 76.4%. The nearest Fibonacci resistance is 1.09 at the level of 100.0%.
  
• Fibonacci with five retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 1.09 at the level of 100.0%. The nearest Fibonacci support is 1.08 at the level of 61.8%.
  
• Fibonacci with four retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 1.09 at the level of 100.0%. The nearest Fibonacci support is 1.08 at the level of 61.8%.
  
• MVaR bounds at confidence level 95.0%: in the next candle, the price will fluctuate around 1.08 and with 95.0% probability will not go below 1.08 or above 1.08.
  

• AR model at confidence level 95.0%: the AR model forecasts a return of 0.0087% in the next candle, the price will fluctuate around 1.08 and with 95.0% probability will not go below 1.08 or above 1.08.

• Power law: According to the indicator, the stability of the market is uncertain
  
• Student degrees of freedom: According to the indicator, the stability of the market is uncertain
  
• Tukey lambda: According to the indicator, the stability of the market is uncertain
  

• Elliot Waves Settings: Elliot Waves were updated. The current wavelength is 34.

• BRW VaR at confidence level 95.0%: in the next candle, the price will fluctuate around 156.49 and with 95.0% probability will not go below 156.12 or above 156.86.
  
• Historical simulation at confidence level 95.0%: in the next candle, the price will fluctuate around 156.49 and with 95.0% probability will not go below 156.15 or above 156.86.
  
• Multifractal range at confidence level 95.0%: in the next 256 candles, the price will fluctuate around 162.42 and with 95.0% probability will not go below 143.46 or above 150.89.
  
• Fibonacci with seven retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 156.82 at the level of 76.4%. The nearest Fibonacci support is 154.74 at the level of 61.8%.
  
• Fibonacci with five retracements: the price is likely to rebound upward from the nearest Fibonacci support of 154.74 at the level of 61.8%. The nearest Fibonacci resistance is 160.2 at the level of 100.0%.
  
• Fibonacci with four retracements: the price is likely to rebound upward from the nearest Fibonacci support of 154.74 at the level of 61.8%. The nearest Fibonacci resistance is 160.2 at the level of 100.0%.
  
• MVaR bounds at confidence level 95.0%: in the next candle, the price will fluctuate around 156.74 and with 95.0% probability will not go below 155.89 or above 156.22.
  

• AR model at confidence level 95.0%: the AR model forecasts a return of 0.0196% in the next candle, the price will fluctuate around 156.5 and with 95.0% probability will not go below 155.93 or above 157.06.

• Power law: According to the indicator, the stability of the market is uncertain
  
• Student degrees of freedom: According to the indicator, the market is unstable
  
• Tukey lambda: According to the indicator, the market is unstable
  

• Elliot Waves Settings: Elliot Waves were updated. The current wavelength is 3.

• BRW VaR at confidence level 95.0%: in the next candle, the price will fluctuate around 61266.09 and with 95.0% probability will not go below 60823.77 or above 61644.63.
  
• Historical simulation at confidence level 95.0%: in the next candle, the price will fluctuate around 61266.74 and with 95.0% probability will not go below 60824.88 or above 61646.47.
  
• Multifractal range at confidence level 95.0%: in the next 256 candles, the price will fluctuate around 61906.76 and with 95.0% probability will not go below 53792.97 or above 66675.0.
  
• Fibonacci with seven retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 61774.38 at the level of 50.0%. The nearest Fibonacci support is 60497.95 at the level of 38.2%.
  
• Fibonacci with five retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 61774.38 at the level of 50.0%. The nearest Fibonacci support is 60497.95 at the level of 38.2%.
  
• Fibonacci with four retracements: the price is likely to rebound upward from the nearest Fibonacci support of 60497.95 at the level of 38.2%. The nearest Fibonacci resistance is 63050.81 at the level of 61.8%.
  
• MVaR bounds at confidence level 95.0%: in the next candle, the price will fluctuate around 61309.21 and with 95.0% probability will not go below 60773.61 or above 61623.96.
  

• AR model at confidence level 95.0%: the AR model forecasts a return of 0.0631% in the next candle, the price will fluctuate around 61310.42 and with 95.0% probability will not go below 60838.62 or above 61782.23.

• Power law: According to the indicator, the stability of the market is uncertain
  
• Student degrees of freedom: According to the indicator, the stability of the market is uncertain
  
• Tukey lambda: According to the indicator, the stability of the market is uncertain
  

• Elliot Waves Settings: Elliot Waves were updated. The current wavelength is 13.

• BRW VaR at confidence level 95.0%: in the next candle, the price will fluctuate around 2353.14 and with 95.0% probability will not go below 2339.81 or above 2368.29.
  
• Historical simulation at confidence level 95.0%: in the next candle, the price will fluctuate around 2353.2 and with 95.0% probability will not go below 2340.86 or above 2368.43.
  
• Multifractal range at confidence level 95.0%: in the next 256 candles, the price will fluctuate around 2401.92 and with 95.0% probability will not go below 1997.83 or above 2583.76.
  
• Fibonacci with seven retracements: the price is likely to rebound upward from the nearest Fibonacci support of 2325.81 at the level of 76.4%. The nearest Fibonacci resistance is 2431.38 at the level of 100.0%.
  
• Fibonacci with five retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 2431.38 at the level of 100.0%. The nearest Fibonacci support is 2260.57 at the level of 61.8%.
  
• Fibonacci with four retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 2431.38 at the level of 100.0%. The nearest Fibonacci support is 2260.57 at the level of 61.8%.
  
• MVaR bounds at confidence level 95.0%: in the next candle, the price will fluctuate around 2355.44 and with 95.0% probability will not go below 2336.91 or above 2363.77.
  

• AR model at confidence level 95.0%: the AR model forecasts a return of -0.0221% in the next candle, the price will fluctuate around 2352.48 and with 95.0% probability will not go below 2336.69 or above 2368.27.

• Power law: According to the indicator, the stability of the market is uncertain
  
• Student degrees of freedom: According to the indicator, the stability of the market is uncertain
  
• Tukey lambda: According to the indicator, the stability of the market is uncertain
  

• Elliot Waves Settings: Elliot Waves were updated. The current wavelength is 21.

• BRW VaR at confidence level 95.0%: in the next candle, the price will fluctuate around 82.06 and with 95.0% probability will not go below 81.73 or above 82.39.
  
• Historical simulation at confidence level 95.0%: in the next candle, the price will fluctuate around 82.06 and with 95.0% probability will not go below 81.73 or above 82.4.
  
• Multifractal range at confidence level 95.0%: in the next 256 candles, the price will fluctuate around 82.98 and with 95.0% probability will not go below 73.28 or above 86.62.
  
• Fibonacci with seven retracements: the price is likely to rebound upward from the nearest Fibonacci support of 81.54 at the level of 0.0%. The nearest Fibonacci resistance is 84.14 at the level of 23.6%.
  
• Fibonacci with five retracements: the price is likely to rebound upward from the nearest Fibonacci support of 81.54 at the level of 0.0%. The nearest Fibonacci resistance is 85.75 at the level of 38.2%.
  
• Fibonacci with four retracements: the price is likely to rebound upward from the nearest Fibonacci support of 81.54 at the level of 0.0%. The nearest Fibonacci resistance is 85.75 at the level of 38.2%.
  
• MVaR bounds at confidence level 95.0%: in the next candle, the price will fluctuate around 82.1 and with 95.0% probability will not go below 81.6 or above 82.29.
  

• AR model at confidence level 95.0%: the AR model forecasts a return of -0.0465% in the next candle, the price will fluctuate around 82.03 and with 95.0% probability will not go below 81.64 or above 82.42.

• Power law: According to the indicator, the market is unstable
  
• Student degrees of freedom: According to the indicator, the stability of the market is uncertain
  
• Tukey lambda: According to the indicator, the stability of the market is uncertain
  

• Elliot Waves Settings: Elliot Waves were updated. The current wavelength is 55.

• BRW VaR at confidence level 95.0%: in the next candle, the price will fluctuate around 1.26 and with 95.0% probability will not go below 1.26 or above 1.26.
  
• Historical simulation at confidence level 95.0%: in the next candle, the price will fluctuate around 1.26 and with 95.0% probability will not go below 1.26 or above 1.26.
  
• Multifractal range at confidence level 95.0%: in the next 256 candles, the price will fluctuate around 1.27 and with 95.0% probability will not go below 1.18 or above 1.3.
  
• Fibonacci with seven retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 1.26 at the level of 50.0%. The nearest Fibonacci support is 1.25 at the level of 38.2%.
  
• Fibonacci with five retracements: the price is likely to rebound downward from the nearest Fibonacci resistance of 1.26 at the level of 50.0%. The nearest Fibonacci support is 1.25 at the level of 38.2%.
  
• Fibonacci with four retracements: the price is likely to rebound upward from the nearest Fibonacci support of 1.25 at the level of 38.2%. The nearest Fibonacci resistance is 1.27 at the level of 61.8%.
  
• MVaR bounds at confidence level 95.0%: in the next candle, the price will fluctuate around 1.26 and with 95.0% probability will not go below 1.26 or above 1.26.
  

• AR model at confidence level 95.0%: the AR model forecasts a return of 0.0184% in the next candle, the price will fluctuate around 1.26 and with 95.0% probability will not go below 1.26 or above 1.26.

• Power law: According to the indicator, the stability of the market is uncertain
  
• Student degrees of freedom: According to the indicator, the stability of the market is uncertain
  
• Tukey lambda: According to the indicator, the stability of the market is uncertain
  

• Elliot Waves Settings: Elliot Waves were updated. The current wavelength is 13.

• BRW VaR at confidence level 95.0%: in the next candle, the price will fluctuate around 2882.88 and with 95.0% probability will not go below 2829.94 or above 2942.07.
  
• Historical simulation at confidence level 95.0%: in the next candle, the price will fluctuate around 2882.98 and with 95.0% probability will not go below 2832.23 or above 2942.46.
  
• Multifractal range at confidence level 95.0%: in the next 256 candles, the price will fluctuate around 3006.18 and with 95.0% probability will not go below 1764.41 or above 3559.96.
  
• Fibonacci with seven retracements: the price is likely to rebound upward from the nearest Fibonacci support of 2803.5 at the level of 0.0%. The nearest Fibonacci resistance is 3106.77 at the level of 23.6%.
  
• Fibonacci with five retracements: the price is likely to rebound upward from the nearest Fibonacci support of 2803.5 at the level of 0.0%. The nearest Fibonacci resistance is 3294.2 at the level of 38.2%.
  
• Fibonacci with four retracements: the price is likely to rebound upward from the nearest Fibonacci support of 2803.5 at the level of 0.0%. The nearest Fibonacci resistance is 3294.2 at the level of 38.2%.
  
• MVaR bounds at confidence level 95.0%: in the next candle, the price will fluctuate around 2890.58 and with 95.0% probability will not go below 2819.06 or above 2922.47.
  

• AR model at confidence level 95.0%: the AR model forecasts a return of 0.086% in the next candle, the price will fluctuate around 2887.2 and with 95.0% probability will not go below 2826.91 or above 2947.2.

• Power law: According to the indicator, the stability of the market is uncertain
  
• Student degrees of freedom: According to the indicator, the stability of the market is uncertain
  
• Tukey lambda: According to the indicator, the stability of the market is uncertain
  

• Elliot Waves Settings: Elliot Waves were updated. The current wavelength is 13.

• BRW VaR at confidence level 95.0%: in the next candle, the price will fluctuate around 78.09 and with 95.0% probability will not go below 77.32 or above 78.83.
  
• Historical simulation at confidence level 95.0%: in the next candle, the price will fluctuate around 78.1 and with 95.0% probability will not go below 77.33 or above 78.83.
  
• Multifractal range at confidence level 95.0%: in the next 256 candles, the price will fluctuate around 77.47 and with 95.0% probability will not go below 66.89 or above 91.0.
  
• Fibonacci with seven retracements: the price is likely to rebound upward from the nearest Fibonacci support of 77.61 at the level of 38.2%. The nearest Fibonacci resistance is 79.56 at the level of 50.0%.
  
• Fibonacci with five retracements: the price is likely to rebound upward from the nearest Fibonacci support of 77.61 at the level of 38.2%. The nearest Fibonacci resistance is 79.56 at the level of 50.0%.
  
• Fibonacci with four retracements: the price is likely to rebound upward from the nearest Fibonacci support of 77.61 at the level of 38.2%. The nearest Fibonacci resistance is 81.52 at the level of 61.8%.
  
• MVaR bounds at confidence level 95.0%: in the next candle, the price will fluctuate around 78.04 and with 95.0% probability will not go below 77.43 or above 78.81.
  

• AR model at confidence level 95.0%: the AR model forecasts a return of 0.0285% in the next candle, the price will fluctuate around 78.11 and with 95.0% probability will not go below 77.37 or above 78.86.

• Power law: According to the indicator, the stability of the market is uncertain
  
• Student degrees of freedom: According to the indicator, the stability of the market is uncertain
  
• Tukey lambda: According to the indicator, the stability of the market is uncertain