This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used. A taste of the ...

This introductory textbook for a graduate course in pure mathematics provides a gateway into the two difficult fields of algebraic geometry and commutative algebra. Algebraic geometry, supported ...

The Best Exercises to Burn Belly Fat Because belly fat can’t just be burned by endless workouts, you want to choose smart, efficient exercises that burn heavy calories, rev up your metabolism ...

Small nucleolar RNAs (snoRNAs) are known for their role in RNA modification to regulate gene expression. Here, the authors identify a snoRNA that not only guides ribosomal RNA 2’- O-methylation ...

Gene expression profiling is the determination of the pattern of genes expressed, at the level of transcription, under specific circumstances or in a specific cell to give a global picture of ...

An easy bodyweight workout looks like four to six exercises targeting different muscles in the upper body, lower body, and core. If you're short on equipment or just getting into strength training, it ...

Don’t let your hips or knees shift. Why: You still need to work on developing that six-pack look, and very few exercises match the cable crunch for developing ab hypertrophy. Unlike most other ...

This is because extensions reduce the space between vertebrae, compressing nerves, while flexions do the opposite. Lumbar flexion exercises can benefit people with spinal stenosis by opening up the ...

The barbell alone usually weighs about 45 pounds. Add weight as needed once you have your form in place. If you are recovering from injury, use other quad exercises with less weight before attempting ...

Repeat this with your other leg. These knee exercises are simple and safe for most people. Some other exercises, such as squats and lunges, can make the knees strong, but if not done correctly ...

The following exercises may help relieve the pain and discomfort of a pinched nerve in the neck: Side bends help reduce neck and back tension while building strength. To do a side bend ...