What is the correct classification of a parent who actually hates his or her child and callously and deliberately beats and miscares for it?

This is a complex and sensitive issue. The behavior described could be classified under several categories in psychology and law, including child abuse and neglect. It's important to note that this is a serious issue and if you or someone you know is in this situation, it's crucial to seek help immediately.

1. Child Abuse: This is a broad term that includes physical, sexual, emotional abuse, and neglect of a child under 18 by a parent, guardian, or caregiver that results in potential harm, harm, or threat of harm.

2. Physical Abuse: This is a subcategory of child abuse and refers to non-accidental physical injuries such as bruises, broken bones, burns, cuts, or other injuries.

3. Emotional Abuse: This is another form of child abuse where a parent or caregiver harms a child’s mental and social development, or causes severe emotional harm. While a single incident may be abuse, most often emotional abuse is a pattern of behavior that causes damage over time.

4. Neglect: This is a form of child abuse where a parent or caregiver does not provide the care, supervision, affection, and support needed for a child’s health, safety, and well-being.

5. Child Maltreatment: This is a term used by the Centers for Disease Control and Prevention (CDC) that includes all types of abuse and neglect of a child under 18 by a parent, caregiver, or another person in a custodial role.

In legal terms, these actions can be considered criminal and can result in various penalties, including imprisonment, fines, and loss of parental rights.

Remember, if you suspect a child is being abused or neglected, it's important to report it to your local child protective services, police, or a trusted adult who can help.