A text-based interface for running commands. Called Command Prompt on Windows, and Terminal on Mac.
Provides info about running processes and resource usage. Helps identify unresponsive programs.
Temporary files; programs generate in the background. Can usually be safely deleted.
A marketing buzzword for services provided over the internet, rather than locally on your device.
The actual amount of data that gets sent over a connection in a given time. Less than bandwidth due to overhead.
An extra login step beyond a password, like a code from an app. Enable it wherever you can!
Mathematical transformation methods are basic tools in math for handling complex problems by converting information. The core idea is turning unsolved problems into forms that are easier to deal with, like changing to transfer forms, symbolic expressions, or spatial relationships. It mainly includes three types: the averaging method, infinitesimal analysis, and linearization of nonlinear methods, and it’s widely used in areas like data analysis and physical modeling. For example, signal filtering in seismic exploration relies on it. This method is really useful in physics; Galileo, Maxwell, and Einstein all used it to derive important theories, like the mass-energy relationship.
A trajectory is the trace left by a moving point following certain rules. Simply put, it's a shape made up of all points that meet specific conditions. There are two strict rules: first, every point on the shape must meet the conditions, and second, all points that meet the conditions must be on the shape—no more, no less.
Math checking usually refers to hypothesis testing in statistics, and it also includes checking your work when doing problems and methods for verifying mathematical conclusions.
Theoretical probability refers to the likelihood of an event happening calculated through mathematical analysis under ideal conditions. The core formula is P(A) = m/n. It's based on the axioms of probability theory and includes classic theories like the addition rule and the law of large numbers. Unlike experimental probability, which is based on actual statistics, it's often used in games like dice and poker, as well as in quality control.
Three-dimensional shapes are mainly classified based on their shape characteristics and the properties of their surfaces. Common ones include cylinders, cones, and spheres.
If you want to get an intuitive understanding of translation, you can check out math teaching videos. The basic idea is to move a shape the same distance in a specific direction on a plane. This movement doesn’t change the shape or size of the figure, only its position, and it’s a fundamental concept in geometric transformations.
It's a line in math that touches a curve at only one point and goes in the same direction as the curve at that point. In plane geometry, it specifically refers to a line that touches a circle at just one point, and the rule for this is that it's perpendicular to the radius at the point of contact. In calculus, the derivative of a function at a point is basically the slope of the tangent line at that point.
Refers to the long-term, systematic development direction that a time series or data set shows as it changes over time or conditions, as opposed to short-term random fluctuations or cyclical swings.
Trigonometry is a tool in math used to describe the relationship between angles and side lengths. The most common ones are sine, cosine, and tangent, which can turn angles into actual numbers and are widely used in physics, engineering, and construction calculations.
It's a closed shape made by connecting three line segments end to end in the same plane, as long as they're not on the same line. It's a basic geometric figure.
Triangles are mainly classified by the size of their angles and the lengths of their sides. Common types include acute, right, and obtuse triangles, as well as scalene, isosceles, and equilateral triangles.
The three-view drawing is an orthographic engineering drawing used in the engineering world to show the geometric shape of an object. It mainly reflects the object's length, width, and height through three basic views: the front view, top view, and left view.
The concept of time includes moments and periods. Time is a parameter humans use to describe the process of material movement or the occurrence of events.
A tree diagram, also called a branching diagram or tree chart, is a graphical representation of a data tree that organizes objects in a parent-child hierarchy. It's a type of hierarchical chart that uses nodes and branches to show data levels and relationships.
Quadrilaterals are mainly divided based on the parallel relationships of their sides into parallelograms, trapezoids, and general quadrilaterals, with parallelograms including rectangles, rhombuses, and squares.
It was originally called 'Analysis situs,' and it's a branch of geometry that studies the overall properties of shapes (or sets) that stay the same under continuous deformation.
A trapezoid is a quadrilateral with only one pair of parallel sides. The parallel sides are called the bases, the non-parallel sides are called the legs, and the vertical distance between the bases is the height. Common types include isosceles trapezoids and right trapezoids.
In math, a 'term' is the part of an algebraic expression that's separated by plus or minus signs. It can be a single number, a letter, or a combination of numbers and letters multiplied together, and each term carries its own sign.
"'Term-to-term rules' isn't a standard math term; it's usually a casual way of talking about the rule for moving terms (shifting positions of terms in an equation) or the relationship between consecutive terms in a sequence."