what does it mean if the wronskian is zero
the functions are linearly dependent
title: Absolute zero text: Absolute zero Absolute zero is the lowest limit of the thermodynamic temperature scale, a state at which the enthalpy and entropy of a cooled ideal gas reach their minimum value, taken as 0. The fundamental particles of nature have minimal vibrational motion, retaining only quantum mechanical, zero-point energy-induced particle motion. The theoretical temperature is determined by extrapolating the ideal gas law; by international agreement, absolute zero is taken as −273.15° on the Celsius scale (International System of Units), which equals −459.67° on the Fahrenheit scale (United States customary units or Imperial units). The corresponding Kelvin and Rankine temperature scales set title: Absolute zero text: worked to obtain even lower temperatures. Absolute zero Absolute zero is the lowest limit of the thermodynamic temperature scale, a state at which the enthalpy and entropy of a cooled ideal gas reach their minimum value, taken as 0. The fundamental particles of nature have minimal vibrational motion, retaining only quantum mechanical, zero-point energy-induced particle motion. The theoretical temperature is determined by extrapolating the ideal gas law; by international agreement, absolute zero is taken as −273.15° on the Celsius scale (International System of Units), which equals −459.67° on the Fahrenheit scale (United States customary units or Imperial units). The corresponding title: Isentropic nozzle flow text: velocity of the fluid is zero. The isentropic stagnation state is the state a flowing fluid would attain if it underwent a reversible adiabatic deceleration to zero velocity. There are both "actual" and the "isentropic" stagnation states for a typical gas or vapor. Sometimes it is advantageous to make a distinction between the actual and the isentropic stagnation states. The actual stagnation state is the state achieved after an actual deceleration to zero velocity (as at the nose of a body placed in a fluid stream), and there may be irreversibility associated with the deceleration process. Therefore, the term "stagnation title: Cosmic Wimpout text: in one throw, this is called a "supernova." It is considered too much of a good thing, and that player has lost and is immediately out of the game. Game play continues for the remaining players, if any. If a player rolls the dice and no points at all are scored, that player has "wimped out". If the player rolled "all" five cubes and scores no points, this is a "train wreck". In any case, the player loses all points gained in that round. Herein lies most of the game's strategy: if a player keeps the points they get, those title: Kirchhoff's circuit laws text: constant. A matrix version of Kirchhoff's current law is the basis of most circuit simulation software, such as SPICE. Kirchhoff's current law is used with Ohm's law to perform nodal analysis. KCL is applicable to any lumped network irrespective of the nature of the network; whether unilateral or bilateral, active or passive, linear or non-linear. This law is also called Kirchhoff's second law, Kirchhoff's loop (or mesh) rule, and Kirchhoff's second rule. This law states thatThe directed sum of the potential differences (voltages) around any closed loop is zero. Similarly to KCL, it can be stated as: Here, "n" is